Answers
Step-by-step explanation:
[tex] \cos( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} } \\ = \sqrt{ \frac{1 - ( - \frac{15}{17}) }{2} } \\ = \sqrt{ \frac{32}{34} } [/tex]
Related Questions
What is the quotient of the following division problem?
97 - 9 = ?
A. 12 r7
B. 9r7
C. 10 r8
D. 107
Answers
Answer:
D. 10r7
Explaination:
9 goes into 97 10 times, and has a remainder of 7
What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary. 2, 4, 6, 9, 14
Answers
Answer:
For a data set of N elements:
{x₁, x₂, ..., xₙ}
The mean is:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
The mean absolute deviation is:
[tex]MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}[/tex]
And the population standard deviation is:
[tex]PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}[/tex]
In this case, our set has 5 elements, and the set is:
{2, 4, 6, 9, 14}
The mean of this set is:
[tex]M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7[/tex]
The mean absolute deviation is:
[tex]MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6[/tex]
And the population standard deviation is:
[tex]PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2[/tex]
Max used 12 1⁄2 pounds of deli meat in one week at his sandwich shop. If he uses 1⁄4 of a pound of meat for each sandwich, how many sandwiches did he make with the deli meat?
Answers
Answer:
[tex]12 \frac{1}{2} \div \frac{1}{4} = x \\ 12.5 \div 0.25 = x \\ x = 50[/tex]
Max made 50 sandwiches
Imagine a box with an ant at one corner. The ant wants to travel to the opposite corner by the most direct path. It must travel across the top of box at some stage. The top of the box is the light area. It cannot travel along the ground or under the box. (Hint : it does not have to travel along an edge)
Answers
The solution is Option A.
The shortest distance is given by the two hypotenuses of the triangles and the distance is X = 7.8 cm
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the shortest distance be represented as X
Let the first triangle be the first face of the rectangular box ΔABC
The length of the triangle AB = 3 cm
The height of the triangle BC = 2 cm
Now ,
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
The measure of AC = √ ( 3² + 2² )
The measure of AC = √13 cm
And , the second triangle is the second face of the rectangular box ΔDEF
The length of the triangle DE = 4 cm
The height of the triangle EF = 2 cm
The measure of DF = √ ( 4² + 2² )
The measure of DF = √18 cm
Now , the shortest distance X = The measure of AC + measure of DF
Substituting the values in the equation , we get
The shortest distance X = √13 cm + √18 cm
The shortest distance X = 3.60 + 4.24
The shortest distance X = 7.8 cm
Therefore , the value of A is 7.8 cm
Hence , the shortest distance for the ant is 7.8 cm
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the sum of two rational numbers is -2. if one of the numbers is -14/5 find the other number
Answers
The other number is 4/5
Step-by-step explanation:
let the number be x
if one of the numbers is -14/5
The sum of two rational numbers is -2.
Here, we get the equation
x + (-14/5) = -2
x - 14/5 = -2
x = 14/5 - 2
x = 14 - 2 × 5 ÷ 5
x = 14 - 10 ÷ 5
x = 4/5
Thus, The other number is 4/5
FOR VERIFICATION ONLY:x + (-14/5) = -2
4/5 + (-14/5) = -2
4/5 - 14/5 = -2
4 - 14/5 = -2
-10/5 = -2
-2 = -2
Hence, L.H.S = R.H.S
-TheUnknownScientist
Question 5
The graph of a system of two linear equations results in two parallel lines.
How many solutions are there for the system?
A
no solution
B
infinitely many solutions
С
one solution
D
two solutions
Answers
9514 1404 393
Answer:
A. no solution
Step-by-step explanation:
The solution is found where the lines meet. Parallel lines never meet, so there is no solution.
Write a system of equations for the word problem and then solve to find the answer.
At least week’s basketball game, Ben’s team scored 3 times as many points as Sam’s
team. Together, both teams scored 80 points in total. How many points did each team score?
Equation 1 __________
Equation 2 __________
Answers
Answer:
Sam's team scored 20 points. Ben's team scored 60 points
Step-by-step explanation:
b = 3s
s + b = 80
Substitute
s + 3s = 80
4s = 80
s = 20
An investment of $2,500 compounded continuously at an annual interest rate of 2.5%.
The investment is kept in the account for 25 years.
Answers
Answer:
4,670.61 Dollars
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.5/100
r = 0.025 rate per year,
Then solve the equation for A
A = Pert
A = 2,500.00(2.71828)(0.025)(25)
A = $4,670.61
Below are graphs of several functions. Which functions have the specified
domain and range? There may be more than one correct answer.
Domain: (x | x ≥ 3/2)
Range: (-00, 2)
Note: Be sure to select ALL correct answers.
B
Answers
For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.
What do you mean by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
What are domain and range of the function?A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.
domain : (x | x [tex]\geq[/tex] 3/2)
range : (-∞ , 2)
For these values, Option B , C and E holds that they exists when x [tex]\geq[/tex] 3/2 and it's output that is y exists between (-∞ , 2).
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Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why?
No, because the quotient of Fraction 3 over 4division signFraction 1 and 4 over 5 is 1 and 7 over 20
No, because the quotient of Fraction 1 and 4 over 5Division signFraction 3 over 4 is 1 and 7 over 20
Yes, because the quotient of Fraction 3 over 4division signFraction 1 and 4 over 5 is 2 and 2 over 5
Yes, because the quotient of Fraction 1 and 4 over 5Division signFraction 3 over 4 is 2 and 2 over 5
Answers
Put the quadratic
y = 3x2 + 5x + 1
into the quadratic formula: x = -b+Vb2-4ac
Enter the number that belongs in the green box
- [?]+v[ 12-40)
20
2a
X=
Answers
Answer:
y = 3x² + 5x + 1
x = -b±√b²-4ac/2a
a = 3, b = 5 c = 1
x = -5±√5²-4(3)(1)/2(3)
x = -5±√25-12/6
x = -5±√13/6
The number that belongs in the green box is -5.
Given:
Quadratic equation y = 3x² + 5x + 1 into the quadratic formula,
which is [tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex], determine the values of a, b, and c from the given equation.
Comparing the equation y = 3x² + 5x + 1 with the standard quadratic form y = ax² + bx + c
a = 3
b = 5
c = 1
Now, substitute these values into the quadratic formula:
x = (-(5) ± √((5)² - 4(3)(1))) / (2(3))
x = (-5 ± √(25 - 12)) / (6)
x = (-5 ± √(13)) / 6
Therefore, the quadratic equation y = 3x² + 5x + 1 can be expressed in the quadratic formula as: x = (-5 ± √(13)) / 6
Thus, the number is -5.
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help please!
write in terms of i
Answers
Answer:
2√10i
Step-by-step explanation:
√-40 = √40 × √-1
= √(4 × 10) × √-1
= √4 × √10 ×√-1
√-1 = i
√40 = 2√10i
Which statement about the values 0.034 and 3.40 are true
Answers
Answer:
See Explanation
Step-by-step explanation:
This question requires options.
Since none is provided, I will give a general solution.
We have: 0.034 and 3.40
Required
The relationship between them
3.40 can be expressed as:
[tex]3.40 \to 0.034 * 100[/tex]
This means that 3.40 is 100 of 0.034
Similarly, 0.034 can be expressed as:
[tex]0.034 \to 3.40 * \frac{1}{100}[/tex]
This means that 0.034 is 1/100 of 3.40
Mr. A is white, non-hispanic, 20 years old, and a high school dropout. Using the probit regression, assuming that Mr. A is not subject to a workplace smoking ban, calculate the probability that Mr. A smokes. Carry out the calculation again, assuming that he is subject to a workplace smoking ban. What is the effect of the smoking ban on the probability of smoking
Answers
Answer: Hi Your question lacks some information but i will give you a general solution with similar data found online
answer
a) 15.15%
b) The effect on The probability of smoking is that the p( smoking ) will reduce from 15.15% to 11.70%
Step-by-step explanation:
Using The probit regression
from the attached question ;
for smoking
1 = smokes , 0 = do not smoke
For Independent variable
1 = ban at workplace , 0 = not ban at workplace.
sex : male = 0 , female = 1
a) Assuming Mr. A is not subject to a workplace smoking ban
P ( Mr. A smokes ) = 15.15%
b) Assuming Mr. A is subject to a workplace smoking ban
determine effect on P ( Mr. A smokes )
The effect on The probability of smoking is that the p( smoking ) will reduce from 15.15% to 11.70%
When you sign up for dance class you have a startup fee of $75 and then a monthly fee of $54.
The dance company uses the expression 75 + 54m to find out how much it will cost to attend classes.
How much would it cost to take classes for 10 month?
Answers
Work Shown:
75+54m
75+54*10
75+540
615
Adam, Linda and Rytis share an amount of money.
Linda gets three times as much money as Rytis gets.
Linda gets half as much money as Adam gets.
What fraction of the amount of money does Linda gets
please answer for this question
Answers
Answer:
Step-by-step explanation:
Bbb
80/100 as a percentage
Answers
Answer:
80%.Step-by-step explanation:
Since,
Any number if divided by hundred then that no. is known as a percentage.
Here,
80 is divided by 100 i. e.
80 / 100
= 80% (Ans)
Answer:
[tex]80\%[/tex]Step-by-step explanation:
Write the problem as a mathematical expression.
[tex] \frac{80}{100} [/tex]Convert to decimal.
[tex]0.8[/tex]Multiply 0.8 by 100 to convert to a percentage.
[tex]0.8 \times 100[/tex] [tex]80\%[/tex]Hope it is helpful.....-50 POINTS- only answer if you know. NOT (4,7) OR (5,2).
Answers
Answer:
(8, -2)
Step-by-step explanation:
Given:
[tex]\textsf{If P = (8, 2), Find $\sf R_{x-axis}(P)$}[/tex]
[tex]\sf R_{x-axis}(P)[/tex] means to reflect the given point P in the x-axis.
When a point is reflected in the x-axis, the x-value is unchanged, but the y-value becomes negative:
(x, y) → (x, -y)Therefore:
[tex]\sf R_{x-axis}(P)=(8,-2)[/tex]
How many total people responded to the survey? And can i get the numbers that are missing that’s supposed to be place in the missing spots
Answers
Answer:
56 42 98
3 7 10
59 49 108
Step-by-step explanation:
108 people responded to the survey
what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right
Answers
Answer:
To calculate the percent of change, you will need to find the difference between the original score and the revised score and divide that by the original score. Then, multiply the result by 100 to express the answer as a percentage.
In this case, the difference between the original score (5 questions right) and the revised score (15 questions right) is 10 questions. Dividing this by the original score of 5 questions gives you a result of 2. Multiplying this by 100 gives you a percent of change of 200%. This means that your revised score is 200% higher than your original score.
Step-by-step explanation:
If a jacket is marked up 75% to be $350 and a month later is 20% off and then two weeks later is 30% off how much money did the company gain or lose
PLEEEEASE HELP!!!!!
Answers
280 AND 245 RS the company GAIN,20% OFF it is 280 rs and 30% off it is 245 rs
How to calculate discount price in rupees?For example, you may want to calculate the sale price of a shirt that regularly costs Rs 1,000. If the shirt is 20% off, you must convert 20% to a decimal (20/100 = 0.2). You have Rs 1,000 * 0.2 = Rs 200. You then subtract the discount from the original price as Rs 1,000 – Rs 200 = Rs 800.Discount is the difference between the marked price (list price) and the selling price of an article. Therefore, the formula used to calculate discount is: Discount = List price - selling price.For example, $100 invested today in a savings scheme that offers a 10% interest rate will grow to $110. In other words, $110, which is the future value (FV), when discounted by the rate of 10% is worth $100 (present value) as of todayTo learn more about discount price refers to:
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Find the greatest common factor of the
following monomials:
gh5
OOHO
Clear all
10g5h4
Enter the correct answer.
?
DONE
Answers
To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together.
What is monomial?Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial. The degree of a monomial is the sum of the exponents of all the variables. Let us consider an expression 6xy2. The variables, the coefficient, and the degree of this monomial are shown in the table given below. Observe the table to learn the various parts of the monomial 6xy2.In algebra, a monomial is an expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient. Monomials are the building blocks of polynomials and are called 'terms' when they are a part of larger polynomials. In other words, each term in a polynomial is a monomial.To learn more about coefficients refer to:
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If 1 summon cost 80 gold and each summon gives you 20 points how much points will 10 summons give you?
Answers
Answer:
200
Step-by-step explanation:
cause 10 x 20=200
Answer:
100
Step-by-step explanation:
The first part is useless, so let it go
The second is exactly what we need
1 : 20
10 : 200
Those are the ratios and the other answer explains it easily
Answer only if you know if you put links I will report
Answers
Answer: Reflection of the x axis.
Step-by-step explanation: This didn't rotate because the coordinates were reflected this isn't a translation because you didn't translate anything. Reflection, the coordinates are just still the same distance from the other coordinates.
In Exercises 10-11, find the range of the function.
10. k(x) = x² + 9
11. f(x) = (x + 5)² +3
Answers
As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).
What is function?Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.
Here,
The formula is presented as
k(x) = x² + 9
The aforementioned equation is linear.
the range is (-∝, ∝) and the domain is(-∝, ∝)
Formula 2
The formula is presented as
y = (x + 5)² +3
The aforementioned equation is linear.
The range is (-∝, ∝), and the domain is (-∝, ∝).
As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).
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What is the y intercept of the graph of the equation y=3(2)^x
Answers
Answer:
y-int. is (0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
The population of a high school is 51% male. Of those who attend a school’s inaugural concert, 45% are male. Are gender and concert attendance dependent or independent events?
Answers
9514 1404 393
Answer:
dependent
Step-by-step explanation:
The percentage of males depends on whether they attend the concert. The events are dependent.
If the events were independent, the percentage would remain the same regardless of concert attendance.
Use what you know about decomposing fractions to write 11/10 as a mixed number
Answers
Answer:
11/10 as a mixed number is 1 and 1/10
Step-by-step explanation:
10 out of 10 is 1 but there is still another tenth that needs to be added so it is 1 and one tenth.
There is a safety fence around a circular pool with a gate. The gate is 150 cm wide.
an image
What is the length of the fence not including the gate?
m
Use π
= 3.14
Answers
Length of fence = Circumference of the pool – width of the gate. Length of fence = 6.28x – 150 cm.
What is the length of the fence?Let the circular pool has the radius (r ) = x cm.Since the pool is in a circular shape so the circumference will be the length of the fence. Moreover, there is a 150cm wide so we have to subtract the 150 cm from the value of circumference in order to get the actual length of the fence.Length of fence = Circumference of the pool – width of the gate.Length of fence = 2 π r – 150Length of fence = 2 × 3.14 × x – 150Length of fence = 6.28x – 150 cm.a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the latin radius.To learn more about length of the fence refers to:
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
Answers
The equations that are true for x = –2 and x = 2 are:
x^2-4=0 and 4x^2 = 16
How can the equation be known?We can determine the equations that are true for x = –2 and x = 2 by testing the given options:
After testing the options option 1 ; x^2-4=0 putting x = 2 or -2 into the equation will give zero.
(2^)2-4=0
(-2)^2-4=0
Then option 4: 4x^2 = 16
4(2)^2 = 16
4(-2)^2 = 16
Therefore, option 1st and 4th are correct.
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