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Virty [35]
3 years ago
15

What is the volume, in cubic centimeters, of a rectangular prism with a

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0

Answer:

1800 cm^3

Step-by-step explanation:

volume = L*W*H which would turn into 18*5*20. 20*5=100 and 100*18=1800

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A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
Bond [772]

The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

#SPJ1

7 0
2 years ago
Finding terms of an arithmetic sequence with a recursive formula <br><br>a1 =12 an= an-1+7
Basile [38]

Hey there!!

Recursive formula :

... a( n ) = a ( n - 1 ) + 7

The first term is 12

To find the second term, we will need to substitute 2 in place of ' n '

2 term :

... a( 2 ) = a ( 2 - 1 ) + 7

... a( 2 ) = a( 1 ) + 7

We know a( 1 ) = 12

... a( 2 ) = 12 + 7

... 19 is the second term and we will need to use this to find the other terms.

Hope my answer helps!

5 0
4 years ago
You are standing on top of a 50 foot cliff over looking a pond. The angle of depression from you to the pond is 47 degrees. How
Bingel [31]

Answer: 97

Step-by-step explanation: hope this is right.

7 0
3 years ago
If f(x) = -5, then f(-3)=
vitfil [10]

Answer:

f(-3)= <em><u>-</u></em><em><u>5</u></em>

g(4)= <em><u>7</u></em>

Step-by-step explanation:

here f(x)= -5, clearly it's not depending on 'x' ,so it will have same value,for all x

i.e, f(-3) is also -5

and, g(x)=2x-1

to get g(4) put x=4 in <u>2</u><u>x</u><u>-</u><u>1</u>

i.e, (2×4)-1 =7

✌️:)

7 0
3 years ago
A group of 85 people were asked whether or not they prefer a bagel or a muffin for breakfast and whether or not they prefer milk
gladu [14]

Answer:

The answer(s) would be WY/WZ, or WYZ (If this is multiple choice)

Step-by-step explanation:

The reasoning is that in the "IRL Equation" the polls showed that orange juice was prefered over milk, and didn't matter whether they wanted a bagel or muffin. All that matters in this equation is that it is one sided (For the 1st poll that is) and now you are able to narrow down the possibilities of the answer(s).

5 0
4 years ago
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