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devlian [24]
3 years ago
9

Find the total volume of this composite figure.

Mathematics
1 answer:
UNO [17]3 years ago
3 0

Answer:

volume = 76 ft³

Step-by-step explanation:

(6 x 3 x 2) + (5 x 4 x 2) = 36 + 40 = 76 ft³

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In this diagram the big square is divided into 7 congruent small squares and two congruent triangles. The area of the shaded squ
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Since each square will have an area of 4 cm^2 because they are congruent, then let’s find the side length of them.

Square root of 4 is two

Each side is 2 cm. Since the unshaded triangle has 3 on the base and height, then it is same to assume that the triangle has a base of 6 cm (2 * 3) and a height of 6 cm.

The formula of the area of a triangle is:
1/2 ( base times height)

Let’s plug in some values

1/2(6 * 6)

Multiply

1/2 (36)

Divide

18

Since the triangles are also congruent, then the shaded side has the same area.

The shaded triangle has an area of 8 cm ^2
5 0
2 years ago
A circle has a radius of 17 mm. An arc length of the circle is 30 mm. What is the area of the sector that is bound by the arc
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Answer:

255mm squared

Step-by-step explanation:

it is true i got it wrong and found out the hard way

7 0
3 years ago
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It cost the Wilson children $55 to make lemonade. How many glasses must they sell at 75 cents each to make a profit? Write an eq
Brut [27]
To start break even they need to sell 100 but if they want to make profit they need to sell 101 because you can use the equation y = .75x - 55
7 0
3 years ago
Simplify -3x³y²(-4x²y•y•y•y•y)²
AnnZ [28]

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3 years ago
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A car's velocity is modeled by
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In accordance with the function <em>velocity</em>, the car will have a complete stop after 6 seconds.

<h3>When does the car stop?</h3>

Herein we have a function of the velocity of a car (v), in feet per second, in terms of time (t), in seconds. The car stops for t > 0 and v = 0, then we have the following expression:

0.5 · t² - 10.5 · t + 45 = 0

t² - 21 · t + 90 = 0

By the <em>quadratic</em> formula we get the following two roots: t₁ = 15, t₂ = 6. The <em>stopping</em> time is the <em>least</em> root of the <em>quadratic</em> equation, that is, the car will have a complete stop after 6 seconds.

To learn more on quadratic equations: brainly.com/question/2263981

#SPJ1

8 0
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