π(5in)² * 30 over 360 can be used to determine sector area.
[tex]\sf sector \ area \ : \dfrac{\theta}{360} *\pi *radius^2[/tex]
# radius = 5 inches
# angle = 30 degrees
sector area:
[tex]\hookrightarrow \sf \dfrac{30}{360} *\pi *5^2[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{12} *\pi *25[/tex]
[tex]\hookrightarrow \sf \dfrac{25}{12}\pi[/tex]
[tex]\hookrightarrow \sf 6.54 \ inch^2[/tex]
Answer:
[tex]\pi (5\: \sf in)^2\left(\dfrac{30^{\circ}}{360^{\circ}}\right)[/tex]
π(5in)² 30 over 360
Step-by-step explanation:
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
(where [tex]\theta[/tex] is the angle and r is the radius)
Given:
[tex]\theta[/tex] = 30°r = 5 inSubstituting these values into the equation:
[tex]\begin{aligned}\implies\textsf{Area} &=\left(\dfrac{30^{\circ}}{360^{\circ}}\right) \pi \cdot (5\: \sf in)^2\\\\ & = \pi (5\: \sf in)^2\left(\dfrac{30^{\circ}}{360^{\circ}}\right)\\\\ & = \pi \cdot 25\:(\sf in^2) \cdot \dfrac{1}{12}\\\\ & = \dfrac{25}{12} \pi \:(\sf in^2) \\\\ & = 6.54\: \sf in^2\:(nearest\:hundredth) \end{aligned}[/tex]
5.
What is the area of the shaded region?
10 m
12 1
14 m2
134 m2
C
120 m-
D
106 m-
Answer:
D. 106m2
Step-by-step explanation:
The p-value is a probability that measures the support (or lack of support) for neither the null nor the alternative hypothesis. either the null or the alternative hypothesis. the alternative hypothesis. the null hypothesis.
The true statement is that the p-value is a probability that measures the support (or lack of support) for the null hypothesis.
How to determine the true statement?In a statistical test, the p-value validates or invalidates the null hypothesis
This means that
If p > α, then we accept the null hypothesisOtherwise, the null hypothesis is rejectedSo the true statement about the p value is that it measures the support (or lack of support) for the null hypothesis.
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Which graph shows a line with an x-intercept of -5?
Answer:
The answer is A.
Step-by-step explanation:
The only option is A. since an intercept of (-5,0)
Option B has y-int: (0,-5)
Option C has y-int: (0,5)
Option D has x-int(5,0)
Please let me know the answer to 6*6
Answer:
6*6=36
Step-by-step explanation:
A recipe calls for 2/5 cup of sugar for every 3/10 teaspoon of vanilla. What is the unit rate of cups per teaspoon?
Answer:
4/3 cups/tsp
Step-by-step explanation:
You want cups / tsp = 2/5 c / 3/10 tsp = 2/5 * 10/3 c/tsp = 20/15 = 4/3
In a kickball game, a ball is kicked and travels along a parabolic path. The height h, in feet, of the kickball t seconds after the kick can be modeled by the equation h(t) = −16 t2 + 24t .
a. A fielder runs a route that will allow him to catch the kickball at about 3 ft above the ground. Write an equation that can be used to find when the fielder will catch the ball.
b. Use graphing technology to find out how long the kickball has been in the air when the fielder catches it on its descent. Round to the nearest hundredth.
Answer:
(a) h(t) = 3
(b) time = 1.36 seconds
Explanation:
equation: h(t) = -16(t)² + 24t
Part AIf the fielder catches the ball at the height of about 3 ft.
equation: h(t) = 3Part Busing graphing technology, graphed below. (height, y = 3)
Additional *solving part B algebraically*
-16(t)² + 24t = 3
-16(t)² + 24t - 3 = 0
using quadratic equation
[tex]\bold{x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ when \ ax^2 + bx + c = 0}[/tex]
==================================
[tex]\sf t_{1,\:2}=\frac{-24\pm \sqrt{24^2-4\left(-16\right)\left(-3\right)}}{2\left(-16\right)}[/tex]
[tex]\sf t=\frac{3-\sqrt{6}}{4}, \ t=\frac{3+\sqrt{6}}{4}[/tex]
t = 1.36 seconds and 0.14 seconds
The fielder shall catch the ball when the ball is falling, so time : 1.36 s
Answer:
See below ~
Step-by-step explanation:
a. Equation
In place of h(t), substitute 3 in its place3 = -16t² + 24tRearrange by bringing 3 to the other side-16t² + 24t - 3 = 0b. Finding the duration of the kickball in air using graphing technology
Based on the graph (attached), the ball has been in the air for :1.5 seconds
Identify the slope and y-intercept of each of the following lines. Then graph each line.
y = 5
Answer:
Below!
Step-by-step explanation:
Since the "y" variable is on the L.H.S, we can rewrite y = 5 in slope intercept form to determine the slope and the y-intercept.
⇒ y = 5⇒ y = 0x + 5Now, let's compare the equation of the line with the formula.
⇒ y = 0x + 5 and y = mx + bThus, we will obtain the following equations:
⇒ y = y⇒ m (Slope) = 0⇒ x = x⇒ b (Y-intercept) = 5============================
Thus, the slope is 0 and the y-intercept is 5. Since the slope is 0, the line will be a horizontal line that intersects the y-intercept.
In this case, the y-intercept is 5. Thus, the line will be a horizontal line, intersecting the y-intercept (5). (Refer to graph).
If we simplify
y=0x+5Hence..
slope=m=0y inetrcept=5Graph attached
solve the volume for the triangular prism
Answer:
9.5 cubic units
Step-by-step explanation:
You need to multiply everything together and divide by 2.
5 x 2 x 1.9/2 = v
19/2 = v
9.5 cubic units
write an equation that is parallel to 2x-3y=15 that passes through the point (9,-5)
What number is a reasonable estimate for 5,664 + 8,622
Answer:
Step-by-step explanation:
A reasonable estimate could be 14,300, or 14,000, or also you could do 14,290
Please help thank you :) (30 points)
Answer:
True, Vertical, equal, equal, equal
Step-by-step explanation:
Just change only the second fill-in to "vertical angle" see image.
Solve for x . 8x-3 & 4x+3
8x-3+4x+3=180
?x+_=180
Answer:
x = 15
Step-by-step explanation:
the 2 angles are a linear pair and sum to 180° that is
8x - 3 + 4x + 3 = 180
12x = 180 ( divide both sides by 12 )
x = 15
The angles are supplementary angles. Then the value of the variable 'x' will be 15.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angles are 8x - 3 and 4x + 3. And they are supplementary angles. Then the equation is given as,
8x - 3 + 4x + 3 = 180
Simplify the equation, then we have
8x - 3 + 4x + 3 = 180
12x + 0 = 180
x = 15
The angles are supplementary angles. Then the value of the variable 'x' will be 15.
More about the angled link is given below.
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#SPJ2
p.557(3-6 all): Similar Triangles and Indirect Measurement
I need helppp :/ please
Answer:
3. 200ft
4. 21ft
5. 37.5m
6. 4.2ft
Step-by-step explanation:
3. use proportions:
[tex]\frac{h}{50} = \frac{50}{12.5}[/tex]
50(50) = 12.5h
h = 200ft
4.
[tex]\frac{h}{6} =\frac{7}{2}[/tex]
6(7) = 2h
h = 21ft
5.
[tex]\frac{25}{8} =\frac{x}{12}[/tex]
25(12) = 8x
x = 37.5m
6.
[tex]\frac{9}{15} =\frac{h}{7}[/tex]
9(7) = 15h
h = 4.2ft
There are 18 gallons of gas in a car at the
beginning of a trip. Each hour into the trip,
2.5 gallons are used. Write an equation to
represent the gas left in the car atter each
hour into the trip. Identify your variables.
Answer:
18/2.5 = 7.2
Step-by-step explanation:
Since there are 18 gallons at the beginning of the trip you divide by 2.5 to find out how much gas is left after each hour.
ok so I'm bad at Circumference and stuff can someone tell me the answer
Answer:
r=2.5
Step-by-step explanation:
with a diamter of 5 you divied it by 2 to get the answer which would be 2.5
They are ordering 120 pounds of seafood for the week. How many should be fish?
Answer: 43.2
Step-by-step explanation: 100% = 120pounds
36% = 120/100 × 36/1
A stadium cost £600 million.
13/15 of this cost was for the building.
The rest of the cost was for the land.
Work out the cost of the land
If 13/15 was building then that means 2/15 was land( 1-13/15 = 2/15)
Multiply the total cost by 2/15
600 million x 2/15 = 80 million
the land cost 80 million
Stan has a Homeowner’s Insurance policy on his house. He decides to build a garage. He needs to take out a building permit for the garage which costs $125. He also needs to update his Homeowner’s policy to include other structures on the property since he does not have any other buildings but his house currently. The cost for this is $245. Stan has $20,000 saved, and the garage price is $19,700. How much more will Stan need to cover the cost of the garage with permit and insurance included?
Answer:
$70
Step-by-step explanation:
The additional amount Stan needs will be the difference between his expected costs and the amount he has saved.
__
Costs$19,700 +125 +245 = $20,070
Needed$20,070 -20,000 = $70
Stan will need $70 more to cover the cost of the garage, permit, and insurance.
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
27:63
Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
expressing the ratio as a fraction, that is
27 : 63
= [tex]\frac{27}{63}[/tex] ( cancel numerator/ denominator by 9 )
= [tex]\frac{3}{7}[/tex] ← in simplest form
Using the minimums in the table, is the sample minimum an unbiased estimator?
Yes, 15 occurred the most in the sample minimums.
Yes, the minimum of the sampling distribution of the minimums is 15.
No, 60% of the possible minimum values of the samples is more than 15.
No, the mean of the sampling distribution of the sample minimums is 16, which is not 15.
The sample minimum isn't an unbiased estimator as D. The mean of the sampling distribution of the sample minimums is 16, which is not 15.
What is a sampling distribution?A sampling distribution simply means a probability distribution that is obtained from a larger number of samples drawn from a population.
From the complete question, the sample minimum isn't an unbiased estimator as the mean of the sampling distribution of the sample minimums is 16, which is not 15.
In this case, the minimum of the ages of the officer is 15.
Learn more about sampling on:
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What is the range of possible sizes for side x?
Ur mommy may know this
Step-by-step explanation:
she has been to school right?
813
V384
83
Can someone please help me!!!
Answer:
To find the perimeter of this triangle, we add up all the sides together.
(8 · √3) + (8 · √3) + √384
But before we add them, let's simplify them.
(8 · 1.7) + (8 · 1.7) + 19.6
13.6 + 13.6 + 19.6
27.2 + 19.6
= 46.8, is the perimeter of this triangle.
Now to find the area, we use the formula:
(formula for area of a triangle)
A = BH · 1/2
Where 'B' represents the base, 'H' stands for the height, and 1/2 means that you divide the product of the base and height by 2.
What we know:
Base = 8 · √3 which equals 13.6.Height = 8 · √3 which equals 13.6.Plug in the values into our formula:-
A = BH · 1/2
A = 13.6(13.6) · 1/2
A = 184.96 · 1/2
A = 184.96/2
A = 92.48, is the area for this triangle.
The histogram shows the distribution of heights, in inches, of 100 adult men.
6 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
Height (inches)
Based on the histogram, which of the following is closest to the interquartile range, in inches, of the distribution?
2
B
5
9
D
D
12
15
Based on the histogram, the interquartile rangle of the distribution is 5 inches.
What is the interquartile range?The interquartile range is the difference between the third quartile of a data set and the first quartile of the data set.
First quartile = 1/4 x ( n + 1)
= 101 / 4 = 25.25
25.25 on the histogram is 66
Third quartile = 3/4 x (n + 1)
303 / 4 = 75.75
75.75 on the histogram is 71
Interquartile range = 71 - 66 = 5
Please find attached the image of the histogram. To learn more about histograms, please check: https://brainly.com/question/14473126
Omar wants to simplify the following expression. What should be his first step? 6 x (3 + 9) - 5
*
1 point
Multiply 6 by 3
Subtract 5 from 9
Add 3 to 9
Subtract 5 from 6
Answer:
(c) Add 3 to 9
Step-by-step explanation:
The order of operations tells you that quantities in parentheses are evaluated first.
Here, that means the first step is finding the sum 3+9.
If 6 and 10 are factors of a number, identify four other factors of the number
Answer:
1 2 3 5
Step-by-step explanation:
1 and 2 go into 6 and 10. 3 goes into 6 and 5 goes into 10
Help me plssss!
[tex]-124x+102=-126x-90[/tex]
Answer:
x=-96
Step-by-step explanation:
isolate x by moving -124x to the other side by adding -124x to -126x = -2x
then it will look like: 102= -2x-90
add 90 to both sides: 192= -2x
divide both sides by -2 to isolate x
x= -96
Katie is selling lemonade for $1.50 per cup. She decides to put them on sale for $0.90. What percent discount did she give on her lemonade? *
Answer:
40%
Step-by-step explanation:
1.50 - 0.90 = 0.60
0.60 cents are saved.
[tex]\frac{0.60}{1.50} = 0.4[/tex]
0.4 = 40%
hope this helps :)
Taub missed 14 questions on her multiple choice math final that had a total of 200 problems. What percentage of questions did Taub answer correctly?
Answer:
81%
Step-by-step explanation:
200-38= 162
162/200= 81/100
81%
Answer:
93%
Step-by-step explanation:
100 x 186= 200 * x
18600/200 = 200x/200
93%=x
186/200 = 0.93
convert decimal to percent
0.93 x 100= 93%
One of the diagonals of a rhombus is 15 cm long. if the rhombus has an area of 60 cm², find the length of the other diagonal.
Answer:
8.5
Step-by-step explanation:
area of a rhomus = (1/2)(product of its diagonals)
let the other diagonal be a
(1/2)(15a) = 60
15a= 120
a = 8
So let's find the hypotenuse of one of the right-angled triangles formed by the intersection of its diagonals
base = 4, height = 7.5
if h is the hypotenuse,
h^2 = 4^2 + 7.5^2
h = 8.5
The table shows what 200 randomly selected customers ordered for dinner at a restraint. Based on the table, how many of the next 30 customers will probably order lobster?
It's impossible to answer this without the table...
Answer:
12
Step-by-step explanation:
set up your proportion 80/200=X/30 and cross multiply.
200X=2400 then isolate the variable by dividing 2400 by 200. This gives you 12 and that is your answer.