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3 years ago

7

A square prism has a height of 15 centimeters and a volume of 960 cubic centimeters. What is the measure of the width of the squ

are base

1 answer:

Serggg [28]3 years ago

7 0

Answer:

8

Step-by-step explanation:

Because if you do 15•8•8 then it equals 960 and the formula for volume is l•w•h

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Can someone proove it to me<br> thank you for your help

Dovator [93]

$\sin(2x + x) = \sin(2x) \cos(x) + \\ \cos(2x) \sin(x) = 2 \sin(x) { \cos(x) }^{2} \\ + \sin(x) { \cos(x) }^{2} - { \sin(x) }^{3} = \\ 3 \sin(x) { \cos(x) }^{2} - { \sin(x) }^{3} = \\ 3 \sin(x) - 3 { \sin(x) }^{3} - { \sin(x) }^{3} = \\ 3 \sin(x) - 4 { \sin(x) }^{3}$

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4 years ago

You are giving 24 linear feet of fencing all 3 feet tall you wish to make the largest rectangular enclosure possible to maximize

earnstyle [38]

Answer:

The largest area enclosed is A = xy = 6 feet $\times$ 6 feet = 36 $feet^{2}$

Step-by-step explanation:

i) The perimeter of the area is 2 $\times$ (x + y) =24 ∴ x + y = 12 ∴ y = 12 - x

ii) The area of rectangle enclosed A = xy ⇒ A = x ( 12 - x) = 12x - $x^{2}$

iii) differentiating both sides of the equation in ii) we get

$\dfrac{dA}{dx} = 12 - 2x = 0$ ⇒ x = 6 feet

iv) Differentiating both sides of equation in iii) we get $\frac{d^{2}A}{dx^{2} }$ = -2

Therefore the area enclosed is maximum as the double derivative is negative

v) therefore for largest area enclosed x = 6 feet and y = 12 - 6 = 6 feet

vi) therefore the largest area enclosed is

A = xy = 6 feet $\times$ 6 feet = 36 $feet^{2}$

7 0

3 years ago

109 2/3 divided by 1/2

Alexandra [31]

Answer:

$\large\boxed{219\dfrac{1}{3}}$

Step-by-step explanation:

$109\dfrac{2}{3}:\dfrac{1}{2}\\\\\text{Divide by a fraction is the same operation as multiply by its reciprocal}\\\\109\dfrac{2}{3}:\dfrac{1}{2}=109\dfrac{2}{3}\cdot\dfrac{2}{1}=109\dfrac{2}{3}\cdot2=\left(109+\dfrac{2}{3}\right)\cdot2\\\\\text{use distributive property}\\\\(109)(2)+\left(\dfrac{2}{3}\right)(2)=218+\dfrac{4}{3}=218+1\dfrac{1}{3}=219\dfrac{1}{3}$

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3 years ago

A survey was taken of 2000 voters before an election.1650 of the ones surveyed said they would vote for candidate A.What percent

antiseptic1488 [7]

Total of 2000 voters......1650 said they would vote for candidate A

the percent who voted for candidate A is : 1650/2000 = 0.825
multiply that by 100 to get ur percent....0.825 * 100 = 82.5% <==

6 0

3 years ago

There are 24 boys and 16 girls on a playground what is the ratio of boys to total number of children on the playground

Vinil7 [7]

Answer:

24:40 or 3:5

Step-by-step explanation:

24+16=40. 24:40 can be simplified to 3:5.

Hope this helped!

7 0

3 years ago

Read 2 more answers