Mathematics High School

PLEASE ANSWER!! A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of
the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Complete
sentences

PLEASE ANSWER!! A Prop For The Theater Club's Play Is Constructed As A Cone Topped With A Half-sphere.

Answers

Answer 1

Answer:

Volume of prop = 706.5 in³

Step-by-step explanation:

Given:

Radius = 5 in

Height = 17 in

Find:

Volume of prop

Computation:

Volume of prop = Volume of cone + Volume of hemi-sphere

Volume of prop = 1/3(π)(r²)(h) + 2/3(π)(r)³

Volume of prop = 1/3(3.14)(5²)(17) + 2/3(3.14)(5)³

Volume of prop = 444.83 + 261.67

Volume of prop = 706.5 in³

Related Questions

Evaluate (3n + 2) – 10 when n = 3.
First, evaluate within the parentheses. Then evaluate exponents. Next multiply and divide from left to right. Then, add and subtract from left to right.
Evaluate the expression for the given value of the variable and use the drop-down menus to complete the statements.
Substitute the given value for the____ .
Use the____ to simplify.
First, complete the _____ inside the parentheses.
Next, complete the ___ inside the parentheses.
Last, complete the subtraction.
The value is ____.

Answers

Answer:

Substitute the given value for the  

✔ variable

.

Use the  

✔ order of operations

to simplify.

First, complete the  

✔ multiplication

inside the parentheses.

Next, complete the  

✔ addition

inside the parentheses.

Last, complete the subtraction.

The value is  

✔ 1

.

Step-by-step explanation:

Answer:Evaluate (3n + 2) – 10 when n = 3.

First, evaluate within the parentheses. Then evaluate exponents. Next multiply and divide from left to right. Then, add and subtract from left to right.

Evaluate the expression for the given value of the variable and use the drop-down menus to complete the statements.

Substitute the given value for the

✔ variable

.

Use the

✔ order of operations

to simplify.

First, complete the

✔ multiplication

inside the parentheses.

Next, complete the

✔ addition

inside the parentheses.

Last, complete the subtraction.

The value is

✔ 1

.

Step-by-step explanation:

What is the postulate?

Answers

Step-by-step explanation:

Blank #1 STQ

Blank #2 SSS (Side-Side-Side)

Janessa sleeps 7 1/2 hours each night. How many minutes does she sleep each night?

Answers

Answer: 450 minutes

Step-by-step explanation: First you find 7 hours to minutes by multiplying 7 by 60. You will get 420. Then, add 420 and 30 because a half of an hour is 30 minutes. Your final answer will be 420 minutes!

Your welcome!

Good night!

The altitude to the hypotenuse of a right triangle divides the hypotenuse into 15 inches and 30 inch segments. Explain or show how to find the exact length of the altitude including the correct value. Then explain or show how to find the length of each leg including the correct values.

Answers

9514 1404 393

Answer:

  CX = 15√2 inches

  BC = 15√3 inches

  AC = 15√6 inches

Step-by-step explanation:

In this geometry, all of the triangles are similar:

  ΔABC ~ ΔACX ~ ΔCBX

Corresponding segments are proportional in similar triangles, so we have ...

  AX/CX = CX/BX = (long leg)/(short leg)

Filling in the numbers, we get

  30/CX = CX/15

  CX² = 15×30

  CX = 15√2 . . . . . exact length of the altitude (inches)

__

Similarly, we can form proportions with the legs:

  AB/BC = CB/BX

  BC² = (BX)(AB) = (45)(15)

  BC = 15√3 . . . inches

and

  AC/AB = AX/AC

  AC² = (AX)(AB) = (30)(45)

  AC = 15√6 . . . inches

_____

Additional comment

You may notice that each of the segments we're interested in is the root of a product involving segments of the hypotenuse. This "root of a product" is called the geometric mean. Here, the three geometric mean relations are ...

  altitude = geometric mean of hypotenuse segments

  short side = geometric mean of short segment and whole hypotenuse

  long side = geometric mean of long segment and whole hypotenuse

__

Strictly speaking the geometric mean is the n-th root of the product of n items. Here, there are only 2 items, so it is the square root of their product.

expand and simplify 5(2-1)+2(3x-6)

Answers

Answer:

6x-7

Step-by-step explanation:

Answer:

[tex]6x - 7[/tex]

Step-by-step explanation:

1) Simplify 2-1 to 1.

[tex]5 \times 1 + 2(3x - 6)[/tex]

2) Simplify 5 × 1 to 5.

[tex]5 + 2(3x - 6)[/tex]

3) Expand by distributing terms

[tex]5 + 6x - 12[/tex]

4) Collect like terms.

[tex]6x + (5 - 12)[/tex]

5) Simplify.

[tex]6x - 7[/tex]

So, therefor, the answer is 6x - 7.

Find the sale price of the item. Round to two decimal places if necessary.


Original price: $85.00


Markdown: 34%


The sale price is

Answers

34% of 85 would be 28.9 so the price would be 56.1 :)

A side of the triangle below has been extended to form an exterior angle of 116. Find the value of x

Answers

Answer:

[tex]x=64 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that

Angle of extension [tex]y=116 \textdegree[/tex]

Generally the angle formed at x is mathematically given as

[tex]x=180-116[/tex]

[tex]x=64 \textdegree[/tex]

Answer:

26°

Step-by-step explanation:

A side of the triangle below has been extended to form an exterior angle of 116°. Find the value of xx.

The answer is 26° i tried 64 and it was incorrect.

Aaron buys a game for $25.00 and has to pay $2.00 for tax. What is sales tax rate?

Answers

Answer:

$12.50

Step-by-step explanation:

divide

Lisa works as a waitress. The data set below shows Lisa's daily gratuity income, in dollars, over 15 days of work. 90, 80, 85, 115, 55, 60, 97, 73, 70, 110, 112, 58, 92, 78, 100 Using a box plot, determine which of the following are true regarding the data set above. The data is skewed left. The data is skewed right. The data is symmetric. The IQR is 30. A. III only B. II and IV C. I and IV D. III and IV

Answers

Answer:

The data is symmetric.

The IQR is 30.

Step-by-step explanation:

Answer:

The data is symmetric.

The IQR is 30.

HELP ME!!DO NOT ANSWER JS FOR POINTS:(
Three different items price tags have fallen off.
In the table, match up the original price, the discount, and the discounted price for each item.
Then find the missing discounted price.

Answers

Answer:

Discount of Original Price = Discounted Price

20% of $30 =  $24

30% of $24 = 16.8

40% of $35 = $21

Explanation:

0.2 x 30 = 6

30 - 6 = 24

0.3 x 24 = 7.2

24 - 7.2 = 16.8

0.4 x 35 = 14

35 - 14 = 21

HELP ME PLS
i’ll mark brainlist

Answers

Answer:

14.3 yds.

Step-by-step explanation:

c=√a^2 +b^2

c=√14^2 +3^2

c=√=196+9

c=14.31782106327

c=14.3 yds.

Answer:

XZ = 14.32 yd

Step-by-step explanation:

Use the Pythagorean theorem

14^2 + 3^2 = XZ^2

196 + 9 = XZ^2

XZ^2 = 205

XZ = 14.32 yd

Find the total surface area of this cuboid 4cm 2cm 5cm

Answers

Answer:

76cm²

Step-by-step explanation:

SA=2lw+2lh+2hw

length=4cm

width=2cm

height=5cm

= 2(4×2+4×5+5×2)

=8+20+10

=2×38

=76cm²

which expression is equivalent to 3x -5?​

Answers

Answer:

3x - 5 = 3x + (-5)

Step-by-step explanation:

Help me on this problem plzz

Answers

Answer:

gggggggg

Step-by-step explanation:

i’ll give brainliest, just help me please : )

Answers

Parallelogram Area = bh = 5.5(24) = 132
Rectangle Area = lw = 24(6.5)= 156

Just add them up to get 288cm squared :)

Sarah used 2.5 cups of cheese in a dish that serves 10 people. Amyn used 1.6 cups of cheese in a dish that serves 8. How much more cheese is in one serving of Sarah's dish?

Answers


0.5 cups of cheese

Amy: 1.6 divided by 8 = 0.2 cups of cheese per serving

Sarah: 2.5 divided by 10 = 0.25 cups of cheese per serving

0.25 - 0.2 = 0.5

Ms. Lynette earns $19.50 an hour when she works overtime. She worked overtime twice this week. One day she worked 3 hours of overtime. Her total overtime pay for the week is $146.25.

Write an equation to find the number of overtime hours she worked on the second day.

Answers

(19.50*3)+(19.50*x)=146.25

Answer:

4 1/2 hours

Step-by-step explanation:

Equation(s):

--

(146.25 - (19.50 x 3)) ÷ 19.50 =

4.5 or 4 1/2 hours

--

#LFM #Brainly

Someone plz help me giving brainliest!!

Answers

Answer:

142.72

Step-by-step explanation:

In the question it states that the number in the hundreds place should be twice the number in the hundredth place.

142.72

1 is in the hundreds place. Now the value in the hundredth place should be twice the value of 1. When it say twice it says 2 times the number. 1 time 2 = 2 which would make the answer true.

Hope this helps, thank you :) !!

how to write "The product of a number and -2 increased by 10"? ​

Answers

(x•-2)+10 I’m pretty sure
Possible ways

2(x) + 10

x • 2 + 10

x(2) + 10

The diameter D of a sphere is 18.6 cm. Calculate the sphere's surface area A
Use the value 3.14 fors, and round your answer to the nearest tenth.

Answers

Answer:

1086.3 cm²

Step-by-step explanation:

surface are of sphere = πD²

SA = (3.14)(18.6 cm)^2

SA = 1086.3 cm²

Angle P and angle Q are complementary. Determine the measures of the angles if m∠P = (x + 4)° and m∠Q = (5x − 4)°. Type the number ONLY

Answers

Answer:

p = 19 and q = 71

hope it helps

thanks

1. Write the ratio of the first measurement to the second: 8 ft. 4 in. to 6 in.

Answers

Answer:

6:100 or 3:50

Step-by-step explanation:

8ft 4 in = 100 inches

Rearrange x=3g+2 to make g the subject

Answers

Step-by-step explanation:

Given

x = 3g + 2

Making g as a subject then

3g = x - 2

g = ( x - 2 ) / 3

Hope it will help :)❤

Answer:

g=(x-2)/3

Step-by-step explanation:

I HAVE 3 MINUTES LEFT!!!! URGENT PLSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPPPP
Macy described four triangles as shown below:

Triangle A: All angles measure 60°.

Triangle B: All sides have length 6 cm.

Triangle C: Two sides have length 6 cm, and the included angle measures 60°.

Triangle D: Base has length 6 cm, and base angles measure 50°.

Which triangle is not a unique triangle? (1 point)

Answers

Step-by-step explanation:

triangle c two sides measure length 6cm

High School's track team won 8 meets and lost 2. What is the ratio of wins to the total number of track meets?

PLS I NEED THIS DONE QUICK.​

Answers

8:2
Or you could also say these
8 to 2
8/2

What value of x makes this equation true? 2/3x - 5 = 1/6x + 3​

Answers

Answer:

x=16

Step-by-step explanation:

pls help need it ASAP

Answers

Answer:

D

Step-by-step explanation:

2x>7

x>7/2

x>3.5

Answer:

D

Step-by-step explanation:

Have a day as amazing as you are :D

I need the answer thank you

Answers

A membership(y) =40+2x so plug in 33 for x first
Y=40+2(33)
Y=40+66
Y=106 dollars

Next plug in 90 for y
90=40+2x
50=2x
25=x

Answer:

A. 106

B. 25

Step-by-step explanation:

A. 33 times 2 = 66

66 Plus the 40 for the membership

66 + 40 = 106

B. 90 - 40 = 50  (40 from the membership)

50 divided by 2 = 25

which is better 9.95 for 30oz of coffee or 3.50 for 12oz of coffee

Answers

Answer:

9.95 for 30oz

Step-by-step explanation:

30/9.95 = 3.02

12/3.5 = 3.43

PLEASE HELP IMMIDEATIALY BFHBGDWAHDW

Answers

Answer:

zeros and AoS

Step-by-step explanation:

zeros, x = (1 , -7)

AoS:x =-1

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