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Natasha2012 [34]
3 years ago
12

Write the simplified form of the following expression ?. 2x^2y+3x^2+4y+3x^2y+2y

Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0
To answer the question, combine the terms having the same nature of variables in the given above,
                       (2x²y + 3x²y) + 3x² + (4y + 2y)
The simplification of the expression leads to the answer,
                                 5x²y + 3x² + 6y
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1. Find the area of the composite figure to the nearest hundredth.
Leto [7]

Answer:

#1: 751.56 mm²

#2: 477 km²

Step-by-step explanation:

First I noted the semicircle on the left, which has a radius of 12.5 mm. The formula for finding the area of a semicircle is 1/2(πr²).

1/2(3.14 * (12.5)²)

<em>12.5 squared is 156.25.</em>

1/2(3.14 * 156.25)

<em>Multiply 3.14 by 156.25 to get 490.625.</em>

1/2(490.625)

<em>Divide 490.625 by 2 to get 245.3125.</em>

245.3125 mm² for the semicircle

Then, I split the rest of into a 12.5 by 25 rectangle and a 31 by 12.5 triangle.

(12.5 * 25) + 1/2(31 * 12.5)

<em>Multiply 12.5 by 25 to get 312.5.</em>

312.5 + 1/2(31 * 12.5)

<em>Multiply 31 by 12.5 to get 387.5.</em>

312.5 + 1/2(387.5)

<em>Multiply 1/2 by 387.5 to get 193.75</em>

312.5 + 193.75

<em>Add 312.5 and 193.75 to get 506.25.</em>

506.25 mm² for the rest of the figure.

Now add the two measures, and you have your answer for #1.

245.3125 + 506.25 = 751.5625 mm², which rounds to 751.56 mm².

The area of the composite figure is 751.56 mm².

Now for #2. First, find the area of the triangle.

1/2(40 * 27)

<em>Multiply 40 by 27 to get 1080.</em>

1/2(1080)

<em>Multiply 1/2 by 1080.</em>

590 km² for the triangle.

Now find the area of the circle.

3.14 * 6²

3.14 * 36

113.04 km² for the circle.

Now subtract the area of the circle from the area of the triangle.

590 - 113.04

476.96 km², which rounds to 477.0 km².

The area of the shaded region is 477 km².

6 0
3 years ago
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20 points
g100num [7]

Answer:

the answer is 7/12 hours

Step-by-step explanation:

4 0
3 years ago
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An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object i
natima [27]

Answer:

Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.

Step-by-step explanation:

Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:

πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.

But, it is given that the circular speed of the object is 90π inches per minute. So,

90π = 15πr

r = 6 inches

Since, diameter is the double of radius, d = 2r = 12 inches.

For more explanation, refer the following link:

brainly.com/question/17978382

#SPJ10

4 0
2 years ago
William's typical running speed is 6 mi/h. The difference between his fastest speed and his typical speed is 1.5 min. The equati
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Answer:

D) 7.5 mi/h. hcbhcvu yc yv. y yv yh

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3 years ago
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A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?
jenyasd209 [6]
You can pick a symbol, maybe m or z to be the symbol.
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3 years ago
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