Answers
The measure of arc mAD is 119°.
Describe Arc?In geometry, an arc is a portion of a curve or a circle. It is defined as a connected portion of the circumference of a circle, which is characterized by its central angle, length, and location. The length of an arc is proportional to the measure of its central angle, and the measure of the arc is given in degrees or radians.
The circumference of a circle is the distance around the circle, and it is equal to 2πr, where r is the radius of the circle. An arc of a circle is a part of the circumference, and its length can be calculated using the formula:
Arc length = (central angle/360 degrees) * 2πr
where the central angle is measured in degrees, and r is the radius of the circle.
Since chord AB, BC, CD, and DA form a quadrilateral, we know that the opposite angles of the quadrilateral add up to 180°. Therefore, ∠ABC = 180 - ∠DAB = 180 - 75 = 105°, and ∠BCD = 180 - ∠ADC = 180 - 102 = 78°.
Next, we can use the inscribed angle theorem to find the measure of arc AD. We know that ∠ACD is half the measure of arc CD, so arc CD = 2 * ∠ACD = 62°. Therefore, ∠ACD = 31°.
Similarly, ∠ABD is half the measure of arc AB, so arc AB = 2 * ∠ABD. We can find angle ABD by subtracting angle DAB from ∠ABC: ∠ABD = ∠ABC - DAB = 105 - 75 = 30°. Therefore, arc AB = 2 * 30 = 60°
Since the sum of the measures of angles ABD, ACD, and the central angle arc AD is 180°, we have:
∠ ABD + ∠ ACD + arc AD = 180
Substituting the values we found, we get:
30 + 31 + arc AD = 180
Solving for arc AD, we get:
arc AD = 180 - 30 - 31 = 119°
Therefore, the measure of arc mAD is 119°.
To know more about angle visit:
https://brainly.com/question/23117081
#SPJ1
Related Questions
a fifth-degree polynomial can have a maximum of how many relative extrema and points of inflection? explain. a fifth-degree polynomial can have at most critical numbers, and hence relative extrema. it can have at most points of inflection.
Answers
A fifth-degree polynomial can have at most 4 critical numbers, and hence 4 relative extrema. It can have at most 3 points of inflection.
Explanation:
1. A polynomial function of degree n has (n-1) critical numbers, which are points where the derivative is either zero or undefined. Since a fifth-degree polynomial has a degree of 5, it can have at most (5-1)=4 critical numbers.
2. Relative extrema are local maximum or minimum points of the function. A relative extrema occurs at a critical number where there is a change in the sign of the first derivative (going from positive to negative or negative to positive). Since we have at most 4 critical numbers, there can be at most 4 relative extrema for a fifth-degree polynomial.
3. Points of inflection are points on the graph where the function changes its concavity (from concave up to concave down or vice versa). This occurs when the second derivative of the function changes sign. To find the points of inflection, we need to find the critical numbers of the first derivative, which is a fourth-degree polynomial (one degree less than the original polynomial). A fourth-degree polynomial has at most (4-1)=3 critical numbers.
4. Therefore, a fifth-degree polynomial can have at most 4 relative extrema and 3 points of inflection.
For more questions on polynomial
https://brainly.com/question/2833285
#SPJ11
Which of the points shown on the unit circle below is on the terminal side of angle θ such that cos θ= 1/2?
a
b
c
d
Answers
Answer:
b
Step-by-step explanation:
Stella has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Stella randomly removes a chew from the bag, records the result, and returns the chew to the bag. Stella performs the experiment 21 times. The results are shown below: A orange chew was selected 12 times. A apple chew was selected 7 times. A lime chew was selected 2 times. If the experiment is repeated 1100 more times, about how many times would you expect Stella to remove a apple chew from the bag? Round your answer to the nearest whole number.
Answers
By Probability , You expect Stella to remove a apple chew from the bag
For apple , Pₐ = 7/21
For lime , Pi = 2/21
What is probability with and example?
Probability is a measure of how likely or likely-possible something is to happen. For instance, there is a 1 in 2 chance of receiving a head when flipping a coin, and there are 2 potential outcomes overall (a head or tail). P(heads) = 12 is what we write.
Out of 21 times that the experiment was performed
A orange chew was selected 12 times
A orange chew was selected 7 times
A lime chew was selected 2 times
then for the orange ones we have a relative frequency (that can be thought as the probability ) of
P₀ = 12/21
For apple , Pₐ = 7/21
For lime , Pi = 2/21
Learn more about Probability
brainly.com/question/30034780
#SPJ1
There are 6 seats in the front row of an auditorium in how many ways can 6 student arrange themselves to sit in the front row
Answers
6 Students can arrange themselves in 720 different ways to sit in the front row of an auditorium.
To determine the number of ways 6 students can arrange themselves to sit in the 6 seats in the front row, you can use
the concept of permutations.
There are 6 seats, so for the first seat, there are 6 choices of students who can sit there.
For the second seat, 5 students remain, so there are 5 choices.
For the third seat, 4 students remain, so there are 4 choices.
For the fourth seat, 3 students remain, so there are 3 choices.
For the fifth seat, 2 students remain, so there are 2 choices.
For the last seat, only 1 student remains, so there is 1 choice.
Now, multiply the number of choices for each seat together to find the total number of arrangements:
6 × 5 × 4 × 3 × 2 × 1 = 720 ways.
So, 6 students can arrange themselves in 720 different ways to sit in the front row of an auditorium.
for such more question on permutations.
https://brainly.com/question/1216161
#SPJ11
g if a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.
Answers
The diameter decrease rate is approximately 0.041 cm/min when the diameter is 11 cm.
The surface of a sphere of diameter d is given by
[tex]A = 4πr^2 = πd^2[/tex]
where r is the radius of the sphere.
the rate of decrease in diameter (d) when the diameter is 11 cm.
We can start by deriving the formula for the surface area over time.
[tex]dA/dt = d/dt(πd^2)[/tex]
With chain rules it looks like this:
dA/dt = 2πd (dd/dt)
where dd/dt is the rate at which the diameter decreases.
Knowing that dA/dt is given as [tex]-9 cm^2/min[/tex] (unfavorable due to reduced surface area), look for dd/dt at d = 11 cm.
Substituting these values into the above formula yields:
-9 = 2π(11) (dd/dt)
Simplified, it looks like this:
dd/dt = -9/(22π)
dd/dt ≈ -0.041 cm/min (rounded to three decimal places)
So for a diameter of 11 cm, the diameter decrease rate is approximately 0.041 cm/min.
learn more about the surface area of a sphere
brainly.com/question/14692728
#SPJ4
Which ones is it we’ll transformation?
Answers
Answer: The transformation is a reflection.
Step-by-step explanation:
The area of a circle is 44 cm2.
If its radius is r cm, find r, correct to two decimal places.
Be careful not to round your answer until the very end.
pi r^{2}=
Answers
Step-by-step explanation:
Area of a circle = pi r^2
44 cm^2 = pi r^2
r = sqrt (44/pi)
r = 3.74 cm
Answer:
≈ 3,74 cm
Step-by-step explanation:
Given:
A (area) = 44 cm^2
Find: r (radius) - ?
[tex]a = \pi {r}^{2} [/tex]
[tex]\pi {r}^{2} = 44[/tex]
[tex] {r}^{2} = \frac{44}{\pi} [/tex]
[tex]r = \sqrt{ \frac{44}{\pi} } ≈3.74[/tex]
You deposit $10,000 in an account that pays 6.92% annual interest. Find the balance
after 5 years if the interest is compounded with the given frequency.
a. Monthly
b. Daily
c. Quarterly
d. Weekly
Answers
after 5 years with different compounding frequencies: a. Monthly: $13,952.19 b. Daily: $14,059.89 c. Quarterly: $13,784.98 d. Weekly: $14,001.84
How to solve the question ?
To calculate the balance after 5 years with compound interest, we can use the formula:
A = P (1 + r/n) in power nt
where A is the balance after t years, P is the principal balance, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
For this problem, P = $10,000 and r = 6.92%. To find the balance after 5 years with different compounding frequencies, we can use the following values for n:
a. Monthly: n = 12 A = $10,000 (1 + 0.0692/12)¹²*⁵ = $13,952.19
b. Daily: n = 365 A = $10,000 (1 + 0.0692/365)³⁶⁵*⁵ = $14,059.89
c. Quarterly: n = 4 A = $10,000 (1 + 0.0692/4)⁴*⁵= $13,784.98
d. Weekly: n = 52 A = $10,000 (1 + 0.0692/52)⁵²*⁵ = $14,001.84
Therefore, after 5 years with different compounding frequencies: a. Monthly: $13,952.19 b. Daily: $14,059.89 c. Quarterly: $13,784.98 d. Weekly: $14,001.84
To know more about compound interest visit :-
https://brainly.com/question/28020457
#SPJ1
What is a staticistcal question musa can ask about the club
Answers
A statistical question will pose a problem with a potential range of solutions. 'How many hours does an average member of the club at Musa's school spend participating in club events each month?' is a statistical question that Musa might use to help him gather data about the club.
What exactly is a statistical question?Only once varied data have been gathered can a statistical question be addressed. A statistical question is one that may be answered by gathering information, and there will always be variation in the information. Since there is no variability in the data used to answer the question, questions that can be answered by a single data point are not statistical questions. After data has been gathered and examined, the solution can give an interpretation of the data. Although there will be statistics for a non-statistical question, the outcomes won't change. There will be only one solution.
The following qualities should be included in a statistical question:
Indefiniteness
Indeterminism
Answers that are plural
Variability.
To learn more about statistical question, visit:
https://brainly.com/question/11253919
#SPJ1
Find the total mass in tones of 2500 books each with a mass of 700 grams
Answers
The total mass in tones of the 2500 books is 1.75 tones
What is proportion?A proportion is defined as an equation having two ratios that are set equal to each other.
From the information given, we have that;
There are 2500 books
But then, a book weighs 700 grams
So, we have;
1 book = 700 grams
then, 2500 books = x grams
cross multiply
x = 1, 750, 000 grams
Let's convert the grams to tones , we get;
I gram = 10⁻⁶
Then 1. 75 × 10⁻⁶ = x
cross multiply
x = 1. 75 tones
Learn about proportions at: https://brainly.com/question/1781657
#SPJ1
which statement is not correct about the null hypothesis? group of answer choices it is the actual hypothesis being tested. failing to reject the null hypothesis will lead to some changes in opinions or action. it can never be accepted based on a single statistical test. in marketing research, the null hypothesis is formulated in such a way that rejection leads to the acceptance of the desired conclusion.
Answers
The statement that is not correct is in marketing research, the null hypothesis is formulated in such a way that rejection leads to the acceptance of the desired conclusion.
The null hypothesis (often denoted H0)[1] is the claim that no relationship exists between two sets of data or variables
being analyzed. The null hypothesis is that any experimentally observed difference is due to chance alone, and an
underlying causative relationship does not exist, hence the term "null". In addition to the null hypothesis, an alternative
hypothesis is also developed, which claims that a relationship does exist between two variables.
The null hypothesis is the actual hypothesis being tested and it can never be accepted based on a single statistical
test. Failing to reject the null hypothesis will not lead to any changes in opinions or action.
The statement that is not correct is in marketing research, the null hypothesis is formulated in such a way that rejection
leads to the acceptance of the desired conclusion.
for such more question on marketing research
https://brainly.com/question/24906199
#SPJ11
) how many ways can the letters of the word mailbox be arranged in a row? since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with elements. so the answer is . (b) how many ways can the letters of the word mailbox be arranged in a row if m and a must remain together (in order) as a unit? (c) how many ways can the letters of the word mailbox be arranged in a row if the letters ilb must remain together (in order) as a unit?
Answers
Solving the question with the laws of combinatorics, specifically permutation problems.(a) 5,040 (b) 1,440. (c) 4,320.
(a) The word "mailbox" has 7 distinct letters. Therefore, the number of ways the letters can be arranged in a row is 7! = 5,040.
(b) If m and a must remain together (in order) as a unit, we can think of them as a single letter "ma". Now we have 6 letters to arrange in a row, which can be done in 6! ways. However, within the "ma" unit, the letters can be arranged in 2! ways. Therefore, the total number of arrangements is 6! × 2! = 1,440.
(c) If the letters ilb must remain together (in order) as a unit, we can think of them as a single letter "ilb". Now we have 5 letters to arrange in a row, which can be done in 5! ways. However, within the "ilb" unit, the letters can be arranged in 3! ways. Therefore, the total number of probable arrangements is 5! × 3! = 720 × 6 = 4,320.
Learn more about permutation at
brainly.com/question/30649574
#SPJ4
For each of the parabolas, identify the following properties:
Be sure to lable the:
Vertex
Max/min value
Axis of symmetry
Zero(s)
Direction of opening
Y-intercept
Answers
Parabola 1 :
Vertex: (-1,2)
Min: -2
AOS: x=-1
DoO: downwards
y-Int.: -4
parabola 2:
Vertex; (0,0)
Min: 0
AOS: x=0
DoO:upwards
Parabola 3:
Vertex: (2,1)
Min: 1
AOS: x=2
DoO.:upwards
i left some stuff out because I do not know it k think it’s pretty correct
What is the measure of angle L? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. m∠L= °. LMN is a right triangle. M is a right angle. LM is equal to 18 inches, and LN is the hypotenuse and is equal to 60 inches.
Answers
The measure of angle L is approximately 48.59 degrees.
What is Pythagoras' Theorem?
Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
We can use trigonometry to solve for angle L. Using the Pythagorean theorem, we can find that the length of side MN is:
MN = sqrt(LN² - LM²) = √(60² - 18²) = √(3444) ≈ 58.66 inches
Now, using the definition of sine, we have:
sin(L) = MN / LN = 58.66 / 60
Taking the inverse sine (sin⁻¹) of both sides, we get:
L = sin⁻¹(58.66/60) ≈ 48.59 degrees
Therefore, the measure of angle L is approximately 48.59 degrees.
To know more about Pythagoras' theorem visit:
https://brainly.com/question/343682
#SPJ1
PLS HELP ASAP WILL GIVE BRAINLIEST!!!
Ms. Smith just purchased 15 math text books for $570. Each book cost the same amount . Which equation represents the proportional relationship between, C, the total cost of the books and N, the number of books?
A: C=38n
B: 570/15 = n/c
C: 570n
D: 570/n = 15/c
Answers
Answer:
I believe it is is A
Step-by-step explanation:
Amy is ordering a triangular shaped window for the house that she is building.
The area of the window is 24 ft2, and the base of the window measures 6 ft. What is the height of the window?
Answers
The height of the triangular window is 8 feet.
To find the height of Amy's triangular window, we need to use the formula for the area of a triangle:
Area = (1/2) × base × height.
From the student question, we know the area of the window is 24 ft², and the base of the window measures 6 ft.
We can plug these values into the formula:
24 = (1/2) × 6 × height
Now, let's solve for the height:
First, simplify the equation: 24 = 3 × height
Next, divide both sides by 3: height = 24 / 3
Finally, calculate the height: height = 8 ft.
For similar question on triangular.
https://brainly.com/question/1284982
#SPJ11
how would i write the x and y values
Answers
I NEED HELP PLEASE!!!
Answers
Surface area of rectangular prism is 280/9yd²
Define rectangular prismA rectangular prism, also known as a rectangular cuboid, is a three-dimensional geometric shape that has six rectangular faces, where each face is perpendicular to the adjacent faces. It is a special type of cuboid where all the faces are rectangles.
The rectangular prism has eight vertices, 12 edges, and six faces, where each face has a pair of congruent and parallel rectangular sides. The opposite faces of the rectangular prism are congruent and parallel, which means that it has a uniform cross-section throughout its length.
Sides of rectangular prism are
l=3yd
b=1 1/3yd=4/3yd
h=2 2/3yd=8/3yd
Surface area of rectangular prism=2(lb+bh+lh)
=2(3×4/3+4/3×8/3+8/3×3)
=2(4+8+32/9)
=280/9yd²
To know more about rectangle, visit:
https://brainly.com/question/29085356
#SPJ1
a boat is tied with a rope to a dock that is 12 feet tall. along the water, the boat is 16 feet from the dock. how long is the rope connecting the boa
Answers
Answer:
Step-by-step explanation:
dock is 12 ft tall
boat is 16 ft from dock
how long is the rope?
The dimensions form a right tringle.
Use Pythagorean,
a² + b² = c²
12² + 16² = c²
144 + 256 = c²
400 = c²
√400 = √c²
20 = c
The rope is 20 ft long.
The length of the rope connecting the boat to the dock is approximately 20 feet. This can be answered by the concept of Pythagorean theorem.
To calculate the length of the rope, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the rope is the hypotenuse, and the distance between the boat and the dock (16 feet) and the height of the dock (12 feet) are the other two sides. So we have:
Rope length² = 16² + 12²
Rope length² = 256 + 144
Rope length² = 400
Rope length = √400 = 20 feet
Therefore, the length of the rope connecting the boat to the dock is approximately 20 feet
To learn more about Pythagorean theorem. here:
brainly.com/question/14930619#
#SPJ11
HELP PLSS
Which student's method was not correct? Explain why that method was not correct.
Give an example of why that student's method doesn't work.
Answers
() The bag contains tiles labeled with the letters A, B,
and C. The box contains tiles labeled with the
numbers 1, 2, and 3. June draws one letter tile and
one number tile. Represent the sample space using
either a table or an organized list.
B
A
B CA
1
2
3
Answers
an organized list representing the sample space of drawing one letter tile and one number tile: {(A, 1), (A, 2), (A, 3), (B, 1), (B, 2), (B, 3), (C, 1), (C, 2), (C, 3)}
What is a sample space?In probability theory, sample space refers to the set of all possible outcomes of a random experiment.
For example, if we toss a coin, the sample space would consist of two possible outcomes, heads or tails. Similarly, if we roll a die, the sample space would consist of six possible outcomes, the numbers 1 through 6.
The sample space is an important concept because it allows us to define the probabilities of events. In order to calculate the probability of an event, we divide the number of outcomes that are favorable to the event by the total number of possible outcomes in the sample space.
To know more about outcomes, visit:
https://brainly.com/question/17238771
#SPJ1
The complete question is;
The bag contains tiles labeled with the letters A, B,
and C. The box contains tiles labeled with the
numbers 1, 2, and 3. June draws one letter tile and
one number tile. Represent the sample space using
either a table or an organized list.
B
B
A
2
3
Violet owns a small business selling clothing. She knows that in the last week 53 customers paid cash, 3 customers used a debit card, and 2 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash or a credit card as a decimal to the nearest hundredth.
Answers
The probability that the next customer will pay with cash or a credit card is (53 + 2)/58 = 55/58.
Expressing this as a decimal to the nearest hundredth, we get 0.95. Therefore, the probability is 0.95 that the next customer will pay with cash or a credit card.
the grade point averages (gpas) of a large population of college students are approximately normally distributed with mean 2.4 and standard deviation 0.8. (a) what fraction of the students will possess a gpa in excess of 3.0? .2266 (b) suppose that three students are randomly selected from the student body. what is the probability that all three will possess a gpa in excess of 3.0? .205
Answers
The normally distributed with mean 2.4 and standard deviation 0.8:
a) fraction of the students will possess a GPS is 0.4648.
b) probability that all three will possess a gpa in excess of 3.0 is 0.2266.
c) percentage of the students will be dropped is 19.08%.
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.
Probability is a way to gauge how likely something is to happen. Several things are difficult to forecast with absolute confidence. With it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
we have, μ = 2.4, σ = 0.8
(a) z1 = (x1 - μ)/σ = (2 - 2.4)/0.8 = -0.5
z2 = (x2 - μ)/σ = (3 - 2.4)/0.8 = 0.75
P(2 < x < 3) = P(-0.5 < z < 0.75) = 0.4648
(b) P(x > 3) = P(z > 0.75) = 0.2266
(c) z = (1.7 - 2.4)/0.8 = -0.875
P(x < 1.7) = P(z < -0.875) = 0.1908, which is 19.08%.
Learn more about Probability:
https://brainly.com/question/15106212
#SPJ4
Complete question:
The grade point averages (GPAs) of a large population of college students are approximately normally distributed with mean 2.4 and standard deviation 0.8. What fraction of the students will have GPAs between 2.0 and 3.0? What fraction of students will possess a GPA in excess of 3.0? If students possessing a GPA less than 1.7 are dropped from college, what percentage of the students will be dropped?
T=(7,−11)
Explanation:
let the midpoint be
M(4,−3)
since M is the midpoint then
SM=MT
⇒m − s = t − m
⇒t = 2m - s
⇒t = 2(4/−3)−(1/5)
⇒t = (8 /− 6)−(1/5
=(7−11)
⇒coordinates of T =(7,−11)
HOPE IT HELPS
PLEASE MARK AS BRAINLIEST
Answers
The coordinate of point S given the midpoint is 1, 5)
Calculating the coordinate of point STo find the coordinates of S, we first need to use the midpoint formula to find the coordinates of M.
The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
We are given that the midpoint of ST is M = (4, -3), and we know the coordinates of T are T = (7, -11).
Using the midpoint formula, we can write:
M = ((x1 + 7)/2, (y1 - 11)/2)
Solving for x1 and y1, we get:
x1 + 7 = 2 * 4 = 8
y1 - 11 = 2 * (-3) = -6
x1 = 8 - 7 = 1
y1 = -6 + 11 = 5
Therefore, the coordinates of S are S = (1, 5).
Read more about midpoint at
https://brainly.com/question/25886396
#SPJ1
Add the rational expressions and type your answers in simplest form. 4/x+10/y
Answers
Therefore , the solution of the given problem of expressions comes out to be 4/x + 10/y can be expressed as 2(2y + 5x)/xy.
What is an expression?It is preferable to make use of shifting integer values that can be increasing, reducing, or blocking rather than approximations generated at random. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. A declaration of truth equation may include the justifications, components, and mathematical.
Here,
We need to determine a common denominator for the two fractions in order to combine the rational expressions 4/x + 10/y. Here, xy is the common factor.
As a result, 4/x can be rewritten as (4y)/xy and 10/y as (10x)/xy.
We can now combine the two fractions:
=> (10x)/xy + (4y)/xy
=> (4y + 10x)/xy
=> 2(2y + 5x)/xy
As a result, 4/x + 10/y can be expressed as 2(2y + 5x)/xy.
To know more about expressions visit :-
brainly.com/question/14083225
#SPJ1
Anyone help in number 2
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 7 , then
sum = 180° × (7 - 2) = 180° × 5 = 900°
(b)
since the polygon is regular then the 7 interior angles are congruent
each interior angle = 900° ÷ 7 ≈ 128.6° ( to 1 decimal place )
(c)
the sum of the exterior angles of a polygon is 360°
since the polygon is regular then the 7 exterior angles are congruent
each exterior angle = 360° ÷ 7 ≈ 51.4° ( to 1 decimal place )
Answer:
a) 900°
b) ≈ 128,6°
c) ≈ 51,4°
Step-by-step explanation:
a) s = (n - 2) × 180°
n - the number of sides (in this case, it's 7)
s - the sum of interior angles
s = (7 - 2) × 180° = 5 × 180° = 900°
.
b) In order to find the size of each angle, we have to divide the sum by the number of sides:
900° / 7 ≈ 128,6°
.
c) Since the sum of exterior angles of a polygon is 360°, we can find the size of one exterior angle by dividing this sum by the number of sides:
360° / 7 ≈ 51,4°
What should be subtracted from -1963 to obtain -9512
Answers
Step-by-step explanation:
no calculator at hand ?
-1963 - x = -9512
-x = -9512 + 1963 = -7549
x = 7549
so, 7549 has to be subtracted.
the basketball team sold t-shirts and hats as a fund-raiser. they sold a total of 23 23 items and made a profit of $ 246 $246. they made a profit of $ 10 $10 for every t-shirt they sold and $ 12 $12 for every hat they sold. determine the number of t-shirts and the number of hats the basketball team sold.
Answers
If basketball team sold total of 23, t-shirts and hats as a fund-raiser, then the number of hats sold is 8 and number of T-Shirts sold is 15.
Let us denote the number of t-shirts sold = "x', and
let the number of hats sold be = "y".
So, a system of two equations to represent the information is written as:
The total-items sold at fund-raiser is = 23,
So,
⇒ x + y = 23 ...equation(1),
The total profit is = $246,
So,
⇒ 10x + 12y = 246 ...equation(2)
Solving equation(1) for x,
We get,
⇒ x = 23 - y
Substituting value of "x" into equation 2,
We get,
⇒ 10 × (23 - y) + 12y = 246,
⇒ 230 - 10y + 12y = 246
⇒ 2y = 16
⇒ y = 8
So, the basketball team sold 8 hats.
Substituting this value into equation(1);
We get,
⇒ x + 8 = 23
⇒ x = 15
Therefore, the basketball team sold 15 t-shirts and 8 hats.
Learn more about Profit here
https://brainly.com/question/17047529
#SPJ4
The given question is incomplete, the complete question is
The basketball team sold t-shirts and hats as a fund-raiser. they sold a total of 23 items and made a profit of $246. they made a profit of $10 for every t-shirt they sold and $12 for every hat they sold.
Determine the number of t-shirts and the number of hats the basketball team sold.
2a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 424 gram setting. it is believed that the machine is underfilling the bags. a 25 bag sample had a mean of 415 grams with a variance of 400 . assume the population is normally distributed. a level of significance of 0.1 will be used. find the p-value of the test statistic.
Answers
If a 25 bag-sample has mean of 415 grams and variance of 400, then the p-value of test statistic is 0.0169.
To test whether the bag filling machine is working correctly at the 424 gram setting, we use one-sample t-test.
The null hypothesis is that mean weight of the bags filled by machine is 424 grams, and
The Alternative hypothesis is that the mean weight is less than 424 grams.
The test statistic "t" :
⇒ t = (415 - 424)/√(400/25)) = -2.25,
The degrees of freedom for this test is = 25-1=24.
To find the p-value of the test statistic, we need to determine the probability of observing a t-value less than or equal to -2.25,
Using a t-distribution table with 24 degrees of freedom, the p-value corresponding to t = -2.25 is approximately 0.0169.
Therefore, the p-value of the test statistic is 0.0169.
Learn more about P-Value here
https://brainly.com/question/17087896
#SPJ4
DUE TODAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!!!
Here is a wheel with radius 1 foot. List three different counterclockwise angles the wheel can rotate so that point P ends up at position Q.
Answers
The three different counterclockwise angles the wheel of radian 1 can rotate-
5π/6 , 7π/6 , 11π/6
What is a radian?Angles are measured in terms of radians. It is described as the angle subtended from a circle's center that intercepts an arc with a length equal to the circle's radius1. A radian is equivalent to roughly 57.3 degrees
Here is a wheel with a one-foot radius. There are 12 equal pie-shaped segments cut out of the circular. On the y-axis, below the origin, Point Q is located outside the circle.
The following angles, measured in radians, can be used to determine three different anticlockwise rotational angles that the wheel can take to get from point P to position Q:
- 5π/6
- 7π/6
- 11π/6
For any one of these angles, the wheel rolls a distance of /6 feet
To know more about radian visit:
brainly.com/question/7721249
#SPJ1