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Andrei [34K]
3 years ago
5

The company is building a scale model of the theater's main show tank for an investor's presentation. Each dimension will be mad

e 1/6 of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
Mathematics
2 answers:
soldi70 [24.7K]3 years ago
6 0

Answer:

1047.2 ft³

Step-by-step explanation:

The following information is missing:

<em>The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally)</em>

The only dimension needed for the main show tank is its radius. Then the model radius will be 1/6 * 60 = 10 feet

The volume of a sphere is:

V = 4/3 * π * r³

For a quarter sphere it is<em>:</em>

V = 4/3 * π * r³ * 1/4

V = 1/3 * π * r³

For the smaller mock-up tank:

V = 1/3 * π * 10³

V = 1047.2 ft³

Ede4ka [16]3 years ago
5 0

Answer:

This means the mock-up tank has a volume 216 times smaller than the initial tank.

Step-by-step explanation:

The ratio between volume is given by

\frac{V_2}{V_1}=\frac{(1/6)L^{3} }{L^{3}}  =\frac{1}{216}

This means the mock-up tank has a volume 216 times smaller than the initial tank.

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photoshop1234 [79]

Answer:

(1, 3)

Step-by-step explanation:

Current position (3,2)

Moving left of the x axis results in a decrease, so: 3 - 2 (As she is moving 2 units to the left)

Moving up results in a positive increase on the y axis, so: 2 + 1 (As she is moving one unit up)

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3 years ago
Mr. Hans wants to give an award to the student with the best jump rope rate. Linda can jump rope 120
Gelneren [198K]

Answer:

c)  Mike receives the award for being the best at jumping rope.

Step-by-step explanation:

Here, according to the question

Jumping rate of Linda = 120 times in 4 minute

So, number of jumps Linda does per minute = (120/4) = 30

So, Jumps per minute of Linda is 30.

Jumping rate of Carl  = 315 times in 9 minute

So, number of jumps Carl does per minute = (315/9) = 35

So, Jumps per minute of Carl is 35.

Jumping rate of Mike = 252 times in 7 minute

So, number of jumps Mike does per minute = (252/7) = 36

So, Jumps per minute of Linda is 36.

Now if we compare the <u>jumps per minute</u> of Linda , Carl and Mike, weget that Mike has the best rate of 36 jumps per minute.

Hence, Mike receives the award for being the best at jumping rope.

4 0
3 years ago
What is the area of the triangle show above
ehidna [41]

Answer:

A = 64 units²

Step-by-step explanation:

A = 1/2bh

Step 1: Define

A = ?

b = 16 units

h = 8 units

Step 2: Substitute and Evaluate

A = 1/2(16 units)(8 units)

A = (8 units)(8 units)

A = 64 units²

4 0
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The length of a rectangle is 4 cm longer than the width of the rectangle. The perimeter of the rectangle is 88 Centimeters.What
Tcecarenko [31]
Im not sure but I think the answer is 9.4cm2
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3 years ago
a taxi service charges an initial fee of $5 plus $1.80 per mile. How many miles can you travel for $12
user100 [1]
First you need to write an equation or an inequality.

5+1.80x<=12 
the x here is how many miles you are paying for, now you just solve for x. 

5+1.80x<=12
-5                 -5

1.80x<=7
/1.80         /1.80
x<=3.8

you can travel only three whole miles, you do not have enough money to go four full miles.
4 0
3 years ago
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