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Pavel [41]
3 years ago
6

3. In class, you learned how to find the area of irregular shapes by breaking into regular shapes. For the picture below, you ar

e going to calculate its area. For this problem, you must:
• Draw how you broke up the shape
• Show the work for how you found the area of each piece
• Calculate the total area from the pieces

Mathematics
1 answer:
irinina [24]3 years ago
6 0

Answer:

57.5

Step-by-step explanation:

if you break it down into smaller shapes, there's a semicircle, three triangles and a rectangle.

circle πr² = π 2² = 4π² = 39.5

triangle 1 bh = (3)(2) = 6

triangle 2 bh = (4)(1) = 4

triangle 3 bh = (2)(4) = 8

Add them all up to get total area

6 + 4 + 8 + 39.5 = 57.5

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7 0
3 years ago
2 taps A and B can fill a swimming pool in 3 hours. If turned on alone, it takes tap A 5 hours less than tap B to fill the same
vazorg [7]

Answer:

Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

Step-by-step explanation:

Let tap B fills the pool alone in the time = x hours

So in one hour part of pool will be filled = \frac{1}{x}

Another tap A when turned on, it takes time to fill the pool = x-5 hours

So in one hour part of the same pool filled = \frac{1}{x-5}

Now both the taps A and B are turned on then time taken to fill the pool = 3 hours.

Part of the pool filled in one hour by both the taps = \frac{1}{3}

Now we form an equation

Part of pool filled in one hour by tap A + Part of pool filled in one hour by tap B = Part of pool filled in one hour by both the taps when turned on

\frac{1}{(x-5)}+\frac{1}{x}=\frac{1}{3}

\frac{x-5+1}{x(x-5)}=\frac{1}{3}

\frac{x-4}{x(x-5)}=\frac{1}{3}

3(x - 4) = x(x - 5)

x² -5x = 3x - 12

x² - 8x + 12 = 0

x² - 6x - 2x + 12 = 0

x(x - 6) - 2(x - 6) = 0

(x -2)(x - 6) = 0

x = 2, 6 hours

We will take higher value of x as x = 6 hours for tap B.

Time taken by tap A = 6 - 4 = 2 hours.

Therefore, Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

4 0
4 years ago
Anita can skate 3 1/3 miles in 1 hour. How far can she skate in 2 1/2 hours?
irga5000 [103]
3 1/3 times 2 1/2 =3 2/6 times 2 3/6 =6 15/6=8 3/6



8 3/6 I THINK

7 0
4 years ago
The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 a equals 60 left-parenthes
Marina CMI [18]

Answer:

Option 1 - \frac{At}{60}=g

Step-by-step explanation:

Given : The goals against average (A) for a professional hockey goalie is determined using the formula A=60(\frac{g}{t} ). In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes.

To find : Which is an equivalent equation solved for g?

Solution :

Solve the formula in terms of g,

A=60(\frac{g}{t})

Multiply both side by t,

At=60g

Divide both side by 60,

\frac{At}{60}=\frac{60g}{60}

\frac{At}{60}=g

Therefore, option 1 is correct.

4 0
3 years ago
Read 2 more answers
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Savatey [412]
5 | 8 |12
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5 0
3 years ago
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