Answers
Answer:
42°
Step-by-step explanation:
AD bisects ∠CAB, which means it splits ∠CAB into two equal parts. ∠CAB equals 84°. 84° ÷ 2 = 42°.
Related Questions
How would 7/2 be written as a complex number
Answers
Answer:
We could rewrite 7/2 as 7a + 2
Step-by-step explanation:
Complex numbers is when real numbers [i.e: 1, 1/2, 200, 5/7, etc..) and an imaginary numbers [numbers that give a negative result when squared] are combine together.
Which list is in order from least to greatest
Answers
The correct answer to this question is A. 9.4 x [tex]10^{-8}[/tex], 9.25 x [tex]10^{-6}[/tex], 2.5 x [tex]10^{3}[/tex], 7 x
Explanation:
These numbers are written in scientific notation. In this system, the exponent shows the number of spaces the period has been moved to make the number shorter. Additionally, a positive exponent shows the number has a certain number of digits to the right, while a negative exponent shows the number has digits to the left. In this way, the numbers presented can be converted as:
9.4 x [tex]10^{-8}[/tex] = 0.000000094 (Exponent indicates eight spaces to the left)
9.25 x [tex]10^{-6}[/tex] = 0.00000925 (Exponent indicates six spaces to the left)
2.5 x [tex]10^{3}[/tex] = 2500 (Exponent indicates three spaces to the right)
7 x [tex]10^{3}[/tex] = 7000 (Exponent indicates three spaces to the right)
What is the product?
(negative 3 s + 2 t)(4 s minus t)
negative 12 s squared minus 2 t squared
negative 12 s squared + 2 t squared
negative 12 s squared + 8 s t minus 2 t squared
negative 12 s squared + 11 s t minus 2 t squared
Mark
Answers
Answer:
The answer is
negative 12 s squared + 11 s t minus 2 t squared
Step-by-step explanation:
( - 3s + 2t)( 4s - t)
Expand the terms
We have
- 12s² + 3st + 8st - 2t²
Simplify
We have the final answer as
- 12s² + 11st - 2t²Hope this helps you
Answer:
D. -12s^2+11st-2t^2
Please Help! A pair of equations is shown below. x + y = 2 y = one halfx + 5 If the two equations are graphed, at what point do the lines representing the two equations intersect? (4, −2) (−2, 4) (2, 5) (5, −2)
Answers
Answer:
(-2,4)
Step-by-step explanation:
First, put x+y=2 into slope-intercept form: y=-x+2
Second, set the to equations equal to each other: -x+2=1/2x+5
Then, add x to both sides: -x+x+2=1/2x+x+5 to get: 2=3/2x+5
Next, subtract 5 from both sides: 2-5=3/2x+5-5, to get -3=3/2x
Finally, to get the x-value, divide both sides by 3/2: -3(2/3)=3/2x(2/3), to get x=-2
Lastly, substitute -2 for x into one of the equations to find y:
x+y=2
-2+y=2
add 2 to both sides: -2+2+y=2+2, to get y=4
The solution is (-2,4)
Answer:
(- 2, 4 )
Step-by-step explanation:
Given the 2 equations
x + y = 2 → (1)
y = [tex]\frac{1}{2}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)
x + [tex]\frac{1}{2}[/tex] x + 5 = 2 ( multiply through by 2 to clear the fraction )
2x + x + 10 = 4
3x + 10 = 4 ( subtract 10 from both sides )
3x = - 6 ( divide both sides by 3 )
x = - 2
Substitute x = - 2 into (1) and evaluate for y
- 2 + y = 2 ( add 2 to both sides )
y = 4
Solution is (- 2, 4 )
Help plz down below with the question
Answers
Answer:
The SAS Postulate
Step-by-step explanation:
SAS means Side-Angle-Side; that is, two sides are equal and an angle between those sides are equal. We're given two sides: TK and TL, and we're given that 1 is congruent to 2. Knowing the latter, we can conclude that the angle between them (let's call it 1.5 for our purposes) will be congruent to itself. Since 1.5 is the angle right in the middle of two congruent sides, our answer is SAS.
Evaluate ƒ(x) = –x2 + 1 for x = –3. a) 4 b) –4 C) –9 D) –8
Answers
[tex]f(x)=-x^2+1[/tex]
Plug in the value [tex]x=-3[/tex] into this function
[tex]f(-3)=-(-3)^2+1[/tex]
[tex]=-(9)+1[/tex]
[tex]=-8[/tex]
Thus, your answer will be D) -8. Let me know if you need any clarifications, thanks!
Answer:
D. -8
Step-by-step explanation:
We are given
f(x)= -x^2+1
and asked to evaluate f(x) for x= -3. Therefore, we must substitute -3 for x in the function.
f(x)= -x^2+1 for x= -3
f(-3)= -(-3^2)+1
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
First, evaluate the exponent: -3^2
-3^2= -3*-3= 9
f(-3)= -(9)+1
f(-3)=-9+1
Next, add -9 and 1
f(-3)= -8
When f(x)= -x^2+1 is evaluated for x= -3, the result is -8. Therefore, the correct answer is D. -8
Sphere A has a diameter of 6 and is dilated by a scale factor of 2 to create sphere B. What is the ratio of the volume of sphere A to sphere B?
Answers
Answer:
8 : 1
Step-by-step explanation:
From the above question, we are given the following parameters
Sphere A has a diameter of 6 and is dilated by a scale factor of 2 to create sphere B.
Volume of a sphere = 4/3πr³
For Sphere A , diameter = 6
Radius = Diameter ÷ 2 = 6÷ 2 = 3
Volume of Sphere A = 4/3 × π × 3³
= 113.09733553 cubic units
Approximately = 113.1 cubic units
We were given a scale factor (k) of 2
Because we are dealing with volume, the scale factor will be cubed
In order to find the Volume of the sphere B
k³ = Volume of Sphere A/ Volume of Sphere B
2³ = 113.1 / Volume of Sphere B
Volume of Sphere B = 113.1/ 2³
= 14.1375 cubic units.
The ration of the Volume of Sphere A to Sphere B
Sphere A: Sphere B
113.1 : 14.14
= 8: 1
Answer:
1:8
Step-by-step explanation:
Took the test and got it right trust
Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. The table shows her data. A 2-row table with 10 columns. The first row is labeled number of coin flips with entries 0, 10, 20, 30 ,40, 50, 60, 70, 80, 90. The second row is labeled number of heads up with entries 0, 7, 12, 18, 23, 30, 35, 38, 42, 45. According to the line of best fit, about how many times would the coin land heads up in 100 flips? 48 50 51 53
Answers
Answer:
b is the right option
Step-by-step explanation:
According to the line of best fit, the coin would land heads up about 52.73 times in 100 flips, which we can round to 53.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We can use linear regression to find the line of best fit for the given data, which will give us a linear equation that models the relationship between the number of coin flips and the number of times the coin lands heads up.
Using a calculator or statistical software, we can find that the line of best fit for the given data is:
y = 0.4975x + 2.9825
where y is the number of times the coin lands heads up, and x is the number of coin flips.
To find how many times the coin would land heads up in 100 flips, we can substitute x = 100 into the equation and solve for y:
y = 0.4975(100) + 2.9825
y = 49.75 + 2.9825
y ≈ 52.73
Therefore,
According to the line of best fit, the coin would land heads up about 52.73 times in 100 flips, which we can round to 53.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ7
Find an exact value. tangent of seven pi divided by twelve
Answers
(
7
π
12
)
=
−
(
2
+
√
3
)
Explanation:
tan
(
7
π
12
)
=
tan
(
π
−
5
π
12
)
= #-tan((5pi)/12)
=
−
tan
(
3
π
12
+
2
π
12
)
=
−
tan
(
π
4
+
π
6
)
Now using
tan
(
A
+
B
)
=
tan
A
+
tan
B
1
−
tan
A
tan
B
=
−
tan
(
π
4
)
+
tan
(
π
6
)
1
−
tan
(
π
4
)
tan
(
π
6
)
=
−
1
+
1
√
3
1
−
1
×
1
√
3
Multiplying numerator and denominator by
√
3
=
−
√
3
+
1
√
3
−
1
=
−
(
√
3
+
1
)
2
(
√
3
−
1
)
(
√
3
+
1
)
=
−
3
+
1
+
2
√
3
3
−
1
=
−
(
2
+
√
3
Answer: negative 2 minus radical 3
Step-by-step explanation:
We can use the tangent half-angle formula to find the exact value of tangent of 7π/12:
tan(θ/2) = ±√[(1-cosθ)/1+cosθ)]
Here, θ = 7π/6, and cos(7π/6) = -sqrt(3)/2.
Substituting these values, we get:
tan(7π/12) = ±√[(1-(-sqrt(3)/2))/(1+(-sqrt(3)/2))]
= ±√[(2+sqrt(3))/(2-sqrt(3))]
Multiplying the numerator and denominator by (2+sqrt(3)), we get:
= ±√[(2+sqrt(3))^2/(4-3)]
= ±√[(2+sqrt(3))^2]
= ±(2+sqrt(3))
Since 7π/12 lies in the second quadrant, and tangent is negative in the second quadrant, the exact value of tangent of 7π/12 is - (2+√3)
please i need this answer in two minutes
1. Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20 an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah’s annual gross income and annual net income.
Answers
Answer: $55,489.20
Step-by-step explanation:
Given the following information :
Base salary = $10.20 per hour
Overtime pay = $10.20 * 1.5 = $15.3
Average sale per hour = $60
Tips = 20% of sale
Regular shift hour = 8hours
Work week:
3 10-hour shift = 24hrs regular (6 hrs overtime)
1 11 - hour shift = 8hrs regular (3 hrs overtime)
1 5 - hour shift = 5 hours
Total hours per week = 37hrs regular, 9hrs overtime
WEEKLY :
Income from tips = $60 * 46 * 0.2 = $552
Regular pay: 37 * 10.20 = $377.40
Overtime: 9 * $15.30 = $137.70
Total = $(137.70 + 377.40 + 552) = $1067.10
Number of weeks in a year = 52
Annual gross = $1067.10 * 52 = $55,489.20
The amount that two groups of students spent on snacks in one day is shown in the dot plots below. Which statements about the measures of center are true? Select three choices. The mean for Group A is less than the mean for Group B. The median for Group A is less than the median for Group B. The mode for Group A is less than the mode for Group B. The median for Group A is 2. The median for Group B is 3.
Answers
Answer:
The mean for Group A is less than the mean for Group B. The median for Group A is less than the median for Group B.The mode for Group A is less than the mode for Group B.Step-by-step explanation:
First, we can find the measures of center for each group.
Group A
Mode: 1
Median: (1 + 2) / 2 = 3 / 2 = 1.5
Mean: (1 * 5 + 2 * 4 + 3) / 10 = (5 + 8 + 3) / 10 = 16 / 10 = 1.6
Group B
Mode: 3
Median: 92 + 3) / 2 = 5 / 2 = 2.5
Mean: (1 * 3 + 2 * 2 + 3 * 4 + 5) / 10 = (3 + 4 + 12 + 5) / 10 = 24 / 10 = 2.4
From here, we can see that...
The mean for Group A is less than the mean for Group B. The median for Group A is less than the median for Group B.The mode for Group A is less than the mode for Group B.Hope this helps!
Answer:
ABC
Step-by-step explanation:
pls help me I will give BRANLIEST!!!and follow you back (ー_ー゛)its due in 5minutes
Answers
Answer:
$186.89
Step-by-step explanation:
Let's start by finding the area of the floor.
Area of a trapezium can be found with the formula:
A=(a+b)/2*h
Let's plug our values in.
A=(10+16)/2*7.6
Simplify.
A=26/2*7.6
A=13*7.6
A=98.8
The area of the floor is 98.8 square meters.
Find how many litres of paint are needed.
98.8/1.9=52
He needs 52 liters of paint.
52/5=10.4
He needs 11 5 liter cans of paint.
Each one costs %16.99.
16.99*11=186.89
It would cost $186.89 to buy all the paint he needs.
The ratio of George's money and Tia's
money was 9 : 4. After George spent
$24 and Tia collected $11, the amounts
money they had are the same. How
much
money
did Tia have at first?
Answers
===================================================
Explanation:
G = amount of money George starts with
T = amount of money Tia starts with
Initially the ratio of their money is 9:4 so G/T = 9/4. Solve for G to get G = (9/4)T.
--------
After George spends 24 dollars he's left with (G-24) dollars. Tia gains 11 dollars so she has (T+11) dollars. They have the same amount of money after these two events occur, so G-24 = T+11.
Plug in G = (9/4)T and solve for T
G-24 = T+11
(9/4)T-24 = T+11 ... replace G with (9/4)T
4*[ (9/4)T-24 ] = 4*[ T+11 ] ... multiply both sides by 4 to clear out fraction
9T - 96 = 4T + 44 ... distribute
9T - 4T = 44 + 96
5T = 140
T = 140/5
T = 28
Tia started off with 28 dollars. We could stop here because your teacher is only asking about Tia's initial amount.
----------
If you want to find how much George started with, then plug T = 28 into G = (9/4)T to get...
G = (9/4)T
G = (9/4)*28
G = 2.25*28
G = 63
George started off with 63 dollars
The ratio of 63:28 reduces to 9:4 after dividing both parts by the GCF 7. This confirms the first fact we're given.
Notice how 63 drops to 63-24 = 39 after George spends $24. At the same time, Tia's amount increases to 28+11 = 39, which is the same as George's updated amount. Both facts match the description, so we have confirmed the answer.
Answer:
$28
Step-by-step explanation:
What is the solution to the equation ? 5{n-1 over 10}= 1 over 2
Answers
Answer:
n = 2
Step-by-step explanation:
Given
5( [tex]\frac{n-1}{10}[/tex] ) = [tex]\frac{1}{2}[/tex] ← distribute parenthesis on left side
[tex]\frac{n-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
Since denominators are both 2 then equate numerators
n - 1 = 1 ( add 1 to both sides )
n = 2
Using the order of operations, what should be done first to evaluate 6 squared + 10 divided by (negative 5) (3) minus 5?
A.Subtract 5 from 3.
B.Divide 10 by –5.
C.Add 6 and 10.
D.Evaluate 6 squared.
Answers
Answer:
apply the BODMAS concept
brackets, off, division, multiplication, addition, subtraction
Step-by-step explanation:
(6²+10)÷(-5×3)-5
in this case the answer is D
Clarise evaluated this expression.
(66.3 – 14.62) ÷ 0.6 – 0.22
(51.68) ÷ 0.6 – 0.22
(51.68) ÷ 0.42
51.68 ÷ 0.16
32.3
Which errors did Clarise make?
Answers
Answer:
(66.3-14.62)/0.6-0.22
(51.68)/0.6-0.22
(51.68/0.6)-0.22
(86.14667)-0.22
85.92667
Determine whether the function shown in the graph is even or odd. The graph starts at the top left, continues down through the x axis at negative two to a minimum around y equals negative five, goes up to a maximum on the x axis at y equals negative one, goes back down to a minimum around y equals negative five, and goes back up through the x axis at two.
Answers
Answer:
Might be D
Step-by-step explanation:
took the test and that was the other one i was thinking
Answer: D: The function is odd because it is symmetric with respect to the origin.
Step-by-step explanation:
The area of circle Z is 64 ft^2.
What is the value of r?
Or= 4 ft
O r= 8 ft
O r= 16 ft
O = 32 ft
Answers
Answer:
The answer is
r =4 ftStep-by-step explanation:
Area of a circle is given by πr²
Where r is the radius
From the question
Area = 64 ft²
So the radius is
64 = πr²
Divide both sides by π
[tex] {r}^{2} = \frac{64}{\pi} [/tex]
Find the square root of both sides
[tex]r = \sqrt{ \frac{64}{\pi} } [/tex]
r = 4 ft
Hope this helps you
The answer is 8 not 4.5 or 4!!!!!!!!
Step-by-step explanation: It's not just "64" its 64pi. when you posted the question your device could not put the pi symbol so people were thinking that it was just 64.
the figure is cut into 8 equal pieces shade 3/4 of the figure
Answers
Answer:
You have to shade 6 pieces.
Step-by-step explanation:
Hope it helps!
Sandra y Roberto, cada uno de ellos con una copia del libro, deciden que ellos pueden ganar tiempo "leyendo en equipo" la novela. En este esquema, Sandra leerá desde la página 1 hasta una cierta página y Roberto leerá desde la página siguiente hasta la pagina 760. Cuando ellos hayan terminado cada uno contará la parte que leyó al otro. ¿Cuál es la última página que Sandra debería leer de tal manera que ella y Roberto pasen la misma cantidad de tiempo leyendo la novela?
Answers
Answer:
La última página que Sandra deberá leer es la página 380.
Step-by-step explanation:
Sandra y Roberto tienen un libro de 760 páginas y se lo dividen, la pregunta es ¿Cuál es la última página que debería leer Sandra de tal manera que ella y Roberto pasen la misma cantidad de tiempo leyendo la novela?
Para que ambos pasen la misma cantidad de tiempo leyendo la novela, tendrían que dividirse el libro a la mitad, por lo que cada uno debería leer 760 ÷ 2 = 380 páginas.
Por lo que Sandra deberá leer de la página 1 a la 380 y Roberto leerá de la 381 a la 760.
Por lo tanto, la última página que Sandra deberá leer es la página 380.
Two fair dices, X and Y , are tossed separately. Let A, B and C represent the following three events. A: You got an odd number from die X. B: You got an even number from die Y . C: The sum of two dice is an odd number. Whether A, B, C are independent
Answers
Answer:
Events A and B are independent but Event C is dependent on both Event A and Event B.
Step-by-step explanation:
Find whether events A, B and C are independent.
- Events A and B are independent of each other, because the appearance of an odd number on die X does not effect or influence the appearance of an even number on die Y.
- Event C, on the other hand, is dependent on both event A and event B. How?
For Event C to take place, one die will have to show an odd number while the other shows an even number.
NOTE: The odd number must not show up on die X and the even number show up on die Y. Both number types can appear on any die.
The key is just that one number must be odd and the other even; in order for their sum to be an odd number.
. What is the solution set for
|k - 6|+17 = 30
A. (-19, 7}
B. (-7, 19)
C. (-19, 19)
D. {-41, 19)
Answers
Answer:
Hope this is correct and helpful
HAVE A GOOD DAY!
Opal is collecting data on water levels in different parts of town. She notices that her sample data has a low-value outlier. Which statement must be true?
A. Removing the outlier will not change the spread of the graph of the data set.
B. Removing the outlier will not change the variance of the data set.
C. Removing the outlier will increase the variance of the data set.
D. Removing the outlier will decrease the spread of the graph of the data set.
Answers
Answer:
D.
Step-by-step explanation:
if you remove the low value outlier, the variation from the mean will decrease therefore decreasing the varianc.
Answer:
D. Removing the outlier will decrease the spread of the graph of the data set.
Step-by-step explanation:
Outliers increase the spread of the data set.
So removing an outlier will generally decrease the spread or variance or standard deviation of a data set.
The answer is
D. Removing the outlier will decrease the spread of the graph of the data set.
Which of the following is an arithmetic sequence?
Answers
Answer:
B: 3,0,-3,-6
Step-by-step explanation:
An arithmetic sequence has constant adding or subtracting. In this case, 3 is being subtracted as a constant.
Help please!!!!!! Thank you
Answers
Answer:
1/4
Step-by-step explanation:
Well see how far each points are from each other.
Start at the red triangle and go up 1, go to the right 4.
Thus,
the rise/run is 1/4.
Hope this helps :)
Answer:
1/4
Step-by-step explanation:
To find the rise/run, you first need to pick two points from the line. You can pick whichever points you want, and you will get the right answer. I will pick (-8, -3) and (8, 1).
Divide the difference of the y's by the difference of the x's.
-3 - 1 = -4
-8 - 8 = -16
-4/-16 = 1/4
The rise/run is 1/4.
Pls help (probability)
The table below provides the drinking and smoking habits of 1200 college students surveyed. What is the
probability that someone in this group drinks, if you already know that that
person smokes?
Answers
Answer:
315/1200 = 63/240 = 21/80 = 0.2625 = 26.25%
Step-by-step explanation:
find the angle vector (9,7) makes with the x axis
Answers
Answer:
≈ 37.9°
Step-by-step explanation:
Using the tangent ratio
tanΘ = [tex]\frac{y}{x}[/tex] where (x, y ) = (9, 7 )
tanΘ = [tex]\frac{7}{9}[/tex] , thus
Θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{9}[/tex] ) ≈ 37.9° ( to the nearest tenth )
What is the answer to 85% of 62
Answers
Answer:
52.7
Step-by-step explanation:
Of means multiply
85% * 62
.85 * 62
52.7
Turn the percentage into a decimal.
85% = 0.85
Multiply.
62 * 0.85 = 52.7
So, 52.7 is 85% of 62.
Best of Luck!
please help :) Which of these numbers is the greatest? A. 1.9 x 10 to the 5 power B. 9.1 x 10 to the 2 power C. 7.9 x 10 to the 4 power D. 89,900
Answers
Answer: The answer is A.
Step-by-step explanation:
1.9x10^5= 190000
9.1x10^2= 910
7.9x10^4 =79000
Sophie is riding her bike home when she runs over a nail. It gets stuck to the tire of her bike but does not pop the tire. As she continues to cycle home the nail hits the ground every 2 seconds and reaches a maximum height of 48cm. a) Write a sinusoidal equation that models the nails height off the ground in cm, h, in terms of time,t. Sketch one full revolution of the nail, assuming that sophie first runs over the nail at 0seconds . b) Algebraically determine the height of the nail above the ground at 0.8 seconds. Round your answer to the nearest tenth of a cm
Answers
Answer:
a) The sinusoidal equation is;
The function is h = -24·cos[π(t )] + 24
The sketch of one full revolution is attached
b) The height of the nail at 0.8 seconds is 43.42 cm
Step-by-step explanation:
The sinusoidal equation that models the nails height can be given as follows;
y = A·cos[B(x - C)]+D
A = The amplitude = Half maximum height = 48/2 = 24 cm
The period = 2·π/B = Time to complete one oscillation = 2 seconds
∴ B = 2·π/2 = π
x = t = Time
C = The horizontal shift
D = the vertical shift = 24 cm
y = The height of the nail = h
We have;
h = -24·cos[π(t - C)] + 24
At t = 0, h = 0, therefore, we have;
0 = -24·cos[π(0 - C)] + 24
24·cos[π(0 - C)] = 24
∴ cos[π(0 - C)] = 24/24 = 1
π(0 - C) = 0
C = 0
The function is h = -24·cos[π(t )] + 24
b) The height of the nail at 0.8 seconds is given as follows;
h = -24×cos[π(0.8)] + 24 =
h = 19.42 + 24 = 43.42 cm.