Answers
Answer: A: 50 ft
Step-by-step explanation:
We need to find the height of this composite figure. We can do so by using the volume formulas, (which include height).
Volume of Figure = Volume of Cylinder + Volume of Hemisphere
26,225.3 = pi r^2 h + 2/3 pi r^3
26,225.3 = pi 12^2 h + 2/3 pi 12^3
(26,225.3 - 2/3 pi 12^3)/pi 12^2 = h
this simplifies to about 50.
Hence your answer is A
Related Questions
Please answer number 3
Answers
For 3 personal training session both gym cost same.
We have,
At Silver gym, membership is $25 per month and personal training sessions are $30 each.
At Fit Factor, membership is $65 per month, the and personal training sessions are $20 each.
let the number of personal session be x.
So, 25+ 30x = 65 + 20x
30x - 20x = 65 - 25
10x = 30
x= 3 sessions
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Suppose that 4 friends are given a vintage arcade game that they want to share. If they decide to divide their time, and they decide that they have 26 hours of available time to play in a week, what is each person's fair share of the playing time?
Answers
Answer: 6.5
Step-by-step explanation:
26/4 = 6.5 hours
To calculate this, we simply divide the total available time by the number of people sharing the game:
26 hours / 4 people = 6.5 hours per person
Therefore, each person should get to play the arcade game for 6.5 hours per week if they want to divide their time equally.
Sarah is building a 10-foot-long pen for her pet rabbits. She wants to make gravel bases for two circular food containers to go inside the pen along with its width, as shown in the diagram. Let y represent the width of the pen and x represent the radii of the gravel bases and food containers. What system of inequalities can be used to determine the width of the pen, y, and the radii of the gravel bases, x?
Answers
1. The width of the pen must be greater than or equal to the sum of the diameters of the two circular food containers, which is equal to 2x + 2x = 4x:
y ≥ 4x2. The width of the pen must also be less than or equal to the length of the pen, which is 10 feet:
y ≤ 103. The radii of the gravel bases must be greater than or equal to the radii of the food containers, which is equal to x:
x ≥ x4. The radii of the gravel bases must also be less than or equal to half the width of the pen, which is equal to y/2:
x ≤ y/2SYSTEM OF INEQUALITIESSystem of inequalities that can be used to determine the width of the pen, y, and the radii of the gravel bases, x, is:
y ≥ 4xy ≤ 10x ≥ 0x ≤ y/2Answer:
Step-by-step explanation:
The sum of the diameters of the gravel bases cannot exceed the width of the pen, so 2x+2x≤y. Rewrite this to get y≥4x as the first inequality in the system.Next, to write the expression for the cost of the fencing, find the perimeter of the rectangle and multiply the perimeter by the cost per foot of fencing. The pen is a rectangle, so the perimeter is 2(10)+2(y), or 20+2y. Multiply the cost ($4.00 per foot) by the perimeter to get 4(20+2y).Now write an expression for the gravel bases for the circular food containers. Because A=πr2 and the cost of the gravel is $2.00 per square foot, multiply the cost of the material by the sum of these areas to get 2(πx2)+2(πx2).The total cost must be less than or equal to $150, so we can say that 4(20+2y)+2(πx2)+2(πx2)≤150. Finally, simplify and solve for y.80+8y+2πx2+2πx2≤15080+8y+4πx2≤1508y≤70−4πx2y≤8.75−0.5πx2So, this is the system.
y≥4x
y≤8.75−0.5πx2
Four different exponential functions are represented below.
Drag the representation of each function into order from greatest y-intercept to least y-
intercept.
Answers
The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.
How to solve
We have the 4 functions as shown in the image attached.
The y - intercept is the point where the graph intercepts the y - axis.
Function [1] -
y = 4 + 2x
y - intercept is 4
Function [2] -
y = 5ˣ + 1
y - intercept is 2.
Function [3] -
the y-intercept is 1.
Function [4] -
the y - intercept is at -1.
Therefore, the greatest y-intercept is of function -
f(x) = 2x + 4
and the least y-intercept is of the function shown in graph [4] or function [4].
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Answer:
Carlos puts $3 into his bank account and it grows by 50% each year
f(x)=4^x+1
(The Table)
(The Graph)
Income 26-28 28-30 30-32 32-34 34-36
Frequency 2 11 8 5 4
The class that contains the 80th percentile is. a) 26-28 b) 28-30 c) 30-32 d) 32-34 e) 34-36
Answers
The class that contains the 80 th percentile is d) 32-34.
How to find the class ?First, find the total frequency of the income :
Total frequency = 2 + 11 + 8 + 5 + 4 = 30
The position of the number at the 80 th percentile would then be :
= 30 x 80 %
= 24 th position
The cumulative frequency of :
26 - 28 = 2
28 - 30 : 2 + 11 = 13
30 - 32 : 13 + 8 = 21
This then means that the 24 th position is in the next interval of 32 - 34.
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what is the perimeter
Answers
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
Right triangle XYZ, has vertex angles at the coordinates, X(0, 0), Y(-3, 0) and Z(-3, 4). Its Image, triangle X'Y'Z' has ve
angles at the coordinates, X(3, -5), Y(0, -5), and Z'(0, -1). Describe the horizontal and vertical translations that map
triangle XYZ onto its image, triangle X'Y'Z'.
Oright 5; down 3
Oright 3; up 5
Oright 3; down 5
O left 5; up 3
NEXT QUESTION
ASK FOR HELP
TURN
Answers
The horizontal and vertical translations that map triangle XYZ onto its image, triangle X'Y'Z' include the following: C. right 3; down 5.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.In order to map the two triangles, we would have to apply a vertical translation to f(x) by 5 units down and a horizontal translation by 3 units right.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Beatrice is standing on a cliff 70 feet above the ocean. She sees a boat in the ocean that is 600 feet from the base of the cliff. What is the angle of depression at which Beatrice sees the boat?
Answers
The angle of depression at which Beatrice sees the boat is 83.35°.
How to find the angle of depression at which Beatrice sees the boat?Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.
Check the attached image for the sketch of triangle ABC.
From the sketch, the angle of depression is represented with x:
tan x = 600/70 (tan = opposite/adjacent)
x = tan⁻¹(600/70)
x = 83.35°
Therefore, the angle of depression at which Beatrice sees the boat is 83.35°.
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Lisa decides that she wants to know the 98% confidence interval for a population mean despite originally setting out to find the 95% confidence interval. How will this affect the width and the margin of error of her confidence interval for a population mean? Assume that the population standard deviation is unknown and the population distribution is approximately normal.
Answers
The breadth and error margin of the confidence interval will rise when the confidence level is raised from 95% to 98%.
We are more certain that the genuine population mean falls inside the interval if the confidence level is larger. The range of feasible values for the population means will be broader since we need to widen the interval in order to reach this higher degree of confidence.
Since the margin of error equals half of the interval's breadth, it is directly proportional to the interval's width. The margin of error will therefore expand as the confidence level does as well.
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256 chairs in the cafeteria. this is 8 times as many chairs in the library. total chairs in the library
Answers
Answer:
32
Step-by-step explanation:
in the word problem “256 chairs in the cafeteria. this is 8 times the chairs in the library.” Which means 8 times the number of chairs in the library equals the number of chairs in the cafeteria.
L = library
8 x L = 256
to find L divided 256 by 8
256/8 = 32
L = 32
Check the answer
8 x 32 = 256
Identify the rule for the function table
y =12 - x
y = x - 12
y = x ÷ 2
y = 2 ÷ x
Answers
The rule of the function table is,
⇒ y = 1/2x
Now, We have to given that;
Table is shown in image.
Let two points on the table is, (24, 12) and (12, 6)
Hence, We get;
The equation for table is,
y - 12 = (6 - 12) / (12 - 24) (x - 24)
y - 12 = - 6/-12 (x - 24)
y - 12 = 1/2 (x - 24)
y - 12 = 1/2x - 12
y = 1/2x
Thus, The rule of the function table is,
⇒ y = 1/2x
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19. A restaurant wants to study how well its salads sell. The circle
graph shows the sales of salads during the past few days. If 5 of
the salads sold were Caesar salads, how many total salads did
the restaurant sell?
Salads Sold
56%
20%
24%
Caesar
Garden
Cobb
Answers
Answer:
56% Caesar
Step-by-step explanation:
The only salads sold were Caesar and it is majority
Mia and Lia are competing in a race. 50 people are in the race and medals are given 1st, 2nd, and 3rd place. What is the likelihood that Mia and Lia place in 1st or 2nd?
1/2450
99/2450
1/1225
1/2500
Answers
The probability that Mia and Lia place in 1st or 2nd is 99/2450. There are two possible scenarios in which Mia and Lia can place in 1st or 2nd: Mia places 1st and Lia places 2nd, or Mia places 2nd and Lia places 1st. The probability of the first scenario is (1/50) * (1/49) = 1/2450. The probability of the second scenario is also (1/50) * (1/49) = 1/2450. Since these two scenarios are mutually exclusive, we can add their probabilities to find the total probability: 1/2450 + 1/2450 = 2/2450. However, we must also account for the fact that there are 49 other people who could place in 3rd. So the final probability is (2/2450) * 49 = 98/2450. Adding the probability that neither Mia nor Lia place in 3rd (1/2450), we get 98/2450 + 1/2450 = 99/2450.
MARK ME BRAINLEISTReceived message. The probability that Mia and Lia place in 1st or 2nd is **99/2450**. There are two possible scenarios in which Mia and Lia can place in 1st or 2nd: Mia places 1st and Lia places 2nd, or Mia places 2nd and Lia places 1st. The probability of the first scenario is `(1/50) * (1/49) = 1/2450`. The probability of the second scenario is also `(1/50) * (1/49) = 1/2450`. Since these two scenarios are mutually exclusive, we can add their probabilities to find the total probability: `1/2450 + 1/2450 = 2/2450`. However, we must also account for the fact that there are `49` other people who could place in 3rd. So the final probability is `(2/2450) * 49 = 98/2450`. Adding the probability that neither Mia nor Lia place in 3rd (`1/2450`), we get `98/2450 + 1/2450 = 99/2450`.
Alan is going to eat a round lollipop that has a radius of 2 inches. What is the lollipop's circumference?
Answers
The circumference of the lollipop is 12.57 inches.
Circumference is the measurement of the distance around the outer edge of a closed curve, particularly a circle. It is the total length of the curve that makes up the boundary of the circle.
The circumference of the circle is given by the formula;
Circumference = 2 × π × radius
where π (pi) is the mathematical constant approximately equal to 3.14159265359...
Given that the radius of the round lollipop is 2 inches, we can substitute this value into the formula;
Circumference = 2 × π × 2
Using the approximate value of π as 3.14159265359..., we can calculate the circumference;
Circumference = 2 × 3.141592 × 2
Circumference ≈ 12.56
Therefore, the circumference of the lollipop is approximately 12.57 inches.
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Here is part of a field.
11m
10m
Does he have enough fence?
You must show all your working.
18m
Diagram NOT
accurately drawn
This part of the field is in the shape of a trapezium.
A farmer wants to put a fence all the way around the edge of this part of the field.
The farmer has 50m of fence.
Answers
a. A train is traveling in a circular track of 53 km radius at 44 km per hour. Find in degrees the angle through which it turns in 1 minute.
Answers
Answer:
0.38 degrees.
Step-by-step explanation:
C = 2π(53) = 106π km
The train is traveling at a speed of 44 km/h, which is equivalent to (44/60) km/min since there are 60 minutes in an hour.
d = (44/60) km/min
θ = (d / C) x 360°
θ = [(44/60) / (106π)] x 360°
θ ≈ 0.38°
Therefore, the angle through which the train turns in 1 minute is approximately 0.38 degrees.
Jacob needs to know the volume of the cylinder shown. Which expression will give him the correct volume
Answers
Answer:
3.14 (24 square) (2.5)
Step-by-step explanation:
3.14 24 square 2.5
X radius squared X height???
The total surface area of a
rectangular prism is 1,060 cm². The
prism's base has measurements 8
centimeters and 10 centimeters.
What is the height of the prism?
Answers
Answer:
The surface area of a rectangular prism is given by the formula:
SA = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the prism, respectively. We are given that the surface area of the prism is 1,060 cm², and that the base has measurements 8 cm and 10 cm.
Substituting these values into the formula, we get:
1060 = 2(8)(10) + 2(8)h + 2(10)h
Simplifying and solving for h, we get:
1060 = 160 + 16h + 20h
1060 = 160 + 36h
900 = 36h
h = 25
Therefore, the height of the prism is 25 cm.
Step-by-step explanation:
Use Heron's formula to find the area of the triangle with side lengths 6, 9, and 12, as shown below.
Answers
Answer:
√(6 + 9 +12) = √27 = 3√3
√(-6 + 9 + 12) = √15 = √3√5
√(6 - 9 + 12) = √9 = 3
√(6 + 9 - 12) = √3
(1/4)(3√3)(√3√5)(3)(√3)
= (1/4)(27√3)(√5) = (27√15)/4 = 26.1
Answer:correct answer is 26.1
Step-by-step explanation:
Heron's formula states that the area (A) of a triangle with side lengths a, b, and c is given by:
A = √(s(s-a)(s-b)(s-c))
where s is the semiperimeter, which is half the perimeter of the triangle:
s = (a + b + c) / 2
In this case, the side lengths are a = 6, b = 9, and c = 12. Therefore, the semiperimeter is:
s = (6 + 9 + 12) / 2 = 27 / 2
Using Heron's formula, we can now calculate the area of the triangle:
Zeke and his stepmother wanted to start volunteering together. They found 9 opportunities online, 7 of which involved working at an animal shelter.
If they randomly chose to apply to 6 of the opportunities, what is the probability that all of them involve working at an animal shelter?
Answers
The likelihood that they will choose to work in an animal shelter for each of the six options they choose is around 0.2214 or 22.14%
The probability is given as,
P = (Favorable event) / (Total event)
The likelihood of choosing an opportunity at an animal shelter is 7/9. If each chance is equally likely to be chosen, the likelihood of choosing six in a row from an animal shelter may be estimated by multiplying the likelihood of choosing one opportunity by itself six times:
P = (7/9) x (7/9) x (7/9) x (7/9)
P = (7/9)⁶
P = 0.2214 or 22.14%
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A
Find the approximate volume of a cylinder with a radius of 5 ft. and height of 40 ft.
Use the approximation 3.1416 or the calculator in your calculations. Round your answer to the nearest hundredth.
B
Find the approximate volume of a cylinder with a diameter of 2 ft. and height of 6 ft.
Use the approximation 3.1416 or the calculator in your calculations. Round your answer to the nearest hundredth.
Answers
Answer: Part A) 3,141.59 Part B) 75.40
Step-by-step explanation:
Sorry if this is wrong.
need help please. i don't understand
Answers
Answer:
A) oblique hexagonal prism
Step-by-step explanation:
Answer:
right hexagonal prism
Step-by-step explanation:
as seen on the Image below the left one is a right hexagonal prism and the right one is a oblique hexagonal prism.
Max made 2 gallons of lemonade. Which proportion can Max use to find how many quarts of lemonade he made? Responses 4 quarts1 quart =2 gallon? quarts 4 quarts1 quart =2 gallon? quarts 1 gallon4 quarts =2 gallons? quarts 1 gallon4 quarts =2 gallons? quarts 1 gallon2 quarts = 2 gallons? quarts 1 gallon2 quarts = 2 gallons? quarts 4 quarts1 gallon =2 gallon? quart
Answers
The proportion Max can use to find how many quarts of lemonade is 2 gallons divided by 4 quarts per gallon equals 8 quarts.
How to determine the proportion Max can use to find how many quarts of lemonadeMax can use the following proportion to calculate how many quarts of lemonade he made:
1 gallon equals 4 quarts
Max can calculate the number of quarts by multiplying 2 by 4 because he made 2 gallons of lemonade:
2 gallons divided by 4 quarts per gallon equals 8 quarts
As a result, Max created 8 pints of lemonade.
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NO LINKS!! URGENT HELP PLEASE!!!
Use a flowchart to prove the triangles below are congruent:
Answers
Answer:
- angle T is congruent to angle U (given)
- NS is congruent to SH (given)
- angle TSN is congruent to USH (vertical angles are congruent)
So triangle TNS is congruent to triangle UHS by AAS.
use the graph below to find the indicated function value
Answers
Answer:
Step-by-step explanation:
Can someone please help me with this !! i need this bad for my grade
Answers
The length of the third side of the triangle is 10.7 feet.
How to find the side of a triangle?Patricia is building a garden in her backyard that is shaped like a triangle. She has already built two sides of the garden and they have length of 6 feet and 7 feet.
She wants to find the length of the third side. The angles between the the built sides is 110 degrees.
Therefore, let's find the third sides using the included angle and the two known sides.
using cosine rules,
c² = a² + b² - 2ab cos C
c² = 6² + 7² - 2(6)(7) cos 110
c² = 36 + 49 - 84 cos 110°
c² = 85 - 84(-0.34202014332)
c² = 85 + 28.7296920394
c = √113.729
c = 10.6643799632
c = 10.7 feet
Therefore,
third side of the triangle = 10.7 feet
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lamonte car used 5 gallons to travel 125 miles.how many gallons of gas would he need to travel 400 miles
Answers
Answer:
Step-by-step explanation:
1. Get mileage per gallon by dividing miles traveled by gallons used
[tex]\frac{125}{5} = 25 mpg\\[/tex]
2. Divide miles you want to travel by the mileage per gallon you got on the first step
[tex]\frac{400}{25} = 16 gallons[/tex]
Are there any other cost students need to consider when figuring out the total cost? If so, explain the additional cost 
Answers
The equation for contribution for each student is 185.5/14 = 13.25.
Price of new easel= $129
Set of blank canvases = $ 46
Sales tax = $ 10.50
So, the total amount is
= 129 + 46 + 10.5
= 185.5
Then, each student contribute
= 185.5 / 14
= 13.25
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Use the Tree Diagram below to answer the following question.
Whats the probability that you will get a 15-inch monitor?
P(15-inch) = ?
a. 0
b. 1
c. 2/6
d. 3
50 points!
Answers
The probability that you will get a 15-inch monitor = 1/3
We know that probability of event is the ratio of number of possible outcomes of event A and the total number of outcomes.
Let us assume that event A = you will get a 15-inch monitor
The number of favourable outcomes for event A are 2
So, n(A) = 2
The sample space for this experiment would be,
n(S) = 6
Using the definition of probability, the required proabability would be,
P(A) = n(A) / n(S)
P(A) = 2/6
P(A) = 1/3
Therefore, the required probability = 1/3
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Simplify to an expression involving a single trigonometric function with no fractions.
Answers
[tex]\sin^2(\theta)+\cos^2(\theta)=1\hspace{9em} \begin{array}{llll} \textit{Symmetry Identities} \\\\ \sin(-\theta )=-\sin(\theta) \\\\ \cos(-\theta )=\cos(\theta ) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\cot(-x)\cos(-x)+\sin(-x)\implies \cfrac{\cos(-x)}{\sin(-x)}\cos(-x)+\sin(-x) \\\\\\ \cfrac{\cos(x)}{-\sin(x)}\cos(x)+[-\sin(x)]\implies \cfrac{-\cos^2(x)}{\sin(x)}-\sin(x) \\\\\\ \cfrac{-\cos^2(x)-\sin^2(x)}{\sin(x)}\implies \cfrac{-( ~~ \cos^2(x)+\sin^2(x) ~~ )}{\sin(x)} \\\\\\ \cfrac{-( ~~ 1 ~~ )}{\sin(x)}\implies -\cfrac{1}{\sin(x)}\implies -\csc(x)[/tex]