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Mademuasel [1]
3 years ago
15

What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)

Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

Last Option; 84 cu. mm

Step-by-step explanation:

We know that;

Volume = 1/3(Bh)

And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36

And height = 7mm

Therefore we can say;

Volume = (1/3)*(6 x 6)*(7)

Volume = (1/3)*(36)*(7)

Volume = (12)*(7)

<u>Volume = 84</u>

Hope this helps!

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A programmer wants to display how the shape of a rectangle with a fixed perimeter of 375 inches can be changed by varying the re
Nina [5.8K]

Answer:

A = 187.5L - L^2

So,

g(l) = 187.5l - l^2

Step-by-step explanation:

The perimeter of a rectangle is given by:

P = 2(L + B)

Where P = perimeter

L = Length

B = Width

Making B the subject of formula, we have;

B = P/2 - L ......1

The area of a rectangle is:

A = L × B ........2

Substituting equation 1 to 2.

A = L × (P/2 - L)

A = LP/2 - L^2 .......3

Given that the perimeter P = 375 inches

A = L(375)/2 - L^2

A = 187.5L - L^2

So,

g(l) = 187.5l - l^2

7 0
3 years ago
Need help with this
zepelin [54]

Answer:

4.2 is your answer rounded to the nearest tenth.

Step-by-step explanation:

8/17 is equal to 0.470588235294.

In order to make an equivalent fraction with 9 as the denominator, divide 9 by 17 to get 0.529411764705.

Then, multiply 0.529411764705 by 8 to get 4.235294117647.

4.235294117647 is our <em>u</em><em>.</em>

Simplified to the nearest tenth it is 4.2.

we can double check our answer by taking 4.235294117647 divided by 9. You should get 0.470588235294.

Hope this helps!

5 0
3 years ago
In the following picture, (QS) ̅ and (PR) ̅ are chords of the circle. Find the length of QS. (Remember to show formulas/equation
Inessa [10]
<h3>Answer: QS is 37 units long</h3>

=========================================

Explanation:

PN = 24 and NR = 14 are pieces of the chord PR. The two pieces multiply to some value. At the same time, the other two pieces QN = 21 and NS = 2x-4 also multiply to that same value. In short, the chord pieces multiply to the same number. This is known as the intersecting chord theorem.

PN*NR = QN*NS

24*14 = 21*(2x-4)

336 = 42x-84

336+84 = 42x-84+84 .... add 84 to both sides

420 = 42x

42x = 420

42x/42 = 420/42 ...... divide both sides by 42

x = 10

We know that x = 10 so we can use it to find the length of NS

NS = 2x-4

NS = 2*10-4

NS = 20-4

NS = 16

Therefore,

QS = QN + NS

QS = 21 + 16

QS = 37

--------

note: as a check,

PN*NR = QN*NS

24*14 = 21*16

336 = 336

we get a true equation, so we have the proper values

4 0
3 years ago
A bike and skate shop rents bike for $21 per day and pairs of skates for $20 per day. To remain viable, the shop needs to make a
Leya [2.2K]
Let the number of bike be x and the number of skates be y, then
21x + 20y ≥ 362 . . . (1)
2y = x . . . (2)

Putting (2) into (1), then
21(2y) + 20y ≥ 362
42y + 20y ≥ 362
62y ≥ 362
y ≥ 5.84

The least number of pairs of skates they need to rent each day to make their minimum is 6.
7 0
3 years ago
Helppp pleasee ........
I am Lyosha [343]
Y=3
to solve this you just substitute 4 in for x into the equation and solve for y. since negative 3 plus 7 is 4, y=4
4 0
3 years ago
Read 2 more answers
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