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saw5 [17]
3 years ago
6

Find the total volume of the composite figure, Please help out

Mathematics
1 answer:
lilavasa [31]3 years ago
6 0

Answer:

To find the volume of a three-dimensional composite figure, we split the figure up into its different parts and find the volume of each of those... See full answer ...

Step-by-step explanation:

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Consider the two triangles.
GuDViN [60]

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

Step-by-step explanation:

In Triangles WUV and XZY:

\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.

Therefore:

\triangle UWV \cong  \triangle XZY

To show that the triangles are similar by the SSS similarity theorem, we have:

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

As a check:

\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25

The correct option is A.

4 0
3 years ago
Andre and Morgan are both headed to Florida for vacation. Andre will drive 70 miles per hour. Morgan will drive 55 miles per hou
babymother [125]

Answer:

The number of hours Moran wold have driven before Andre catches up with him is 14 hours

Step-by-step explanation:

The given information are;

The speed with which Andre will drive = 70 miles per hour

The speed with which Morgan will drive = 55 miles per hour

The time of departure of Morgan = 3 hours before Andre departs

Let the time at which Andre catches up with Morgan be, t

We have, from the definition of distance traveled;

Distance traveled =Speed × Time

The distance Morgan would have driven in t hours = 55 × t

Given that to catch up with Morgan, Andre has to travel the same distance, and that Andre starts 3 hours late, we have;

The distance Andre would  drive when Morgan has driven for t hours = 70 × (t - 3)

Therefore, since the distance at the point they meet is the same distance for them both, we have;

55 × t = 70 × (t - 3)

55 × t = 70 × t - 210

210 = 70 × t - 55 × t  = 15 × t

t = 210/15 = 14 hours

Therefore, Morgan would have driven for 14 hours before Andre catches uo with him.

4 0
3 years ago
What is the correct reason for statement 2? Prove: 10(w + 6) + 4 = 10w + 64 Statements Reasons 1. 10(w + 6) + 4 1. Given 2. (10w
ira [324]
Answer is <span>A. Distributive Property
---------------------------------------------------
</span><span>Reasons 1. 10(w + 6) + 4
</span>Given 2. (10w + 60) + 4 ...this is expand the Distributive Property<span>

</span>hope that helps
7 0
3 years ago
Plzz i really need this plzz no aubsurd answers
lord [1]

Answer:

Step-by-step explanation:

7.

y= -2x+2

8.

y= -x-3

9.

y= 2/3 x + 1

10.

I'd put a point on (0, 15) , (1, 30), (2, 45) and etc....

Use a ruler to connect these points and use it to draw a straight line that hits all these points.

Good luck

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3 years ago
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Answer:

Step-by-step explanation:

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