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BartSMP [9]
3 years ago
14

Identify the area of the figure rounded to the nearest tenth. HELP?!! I don't understand!! Please help and show your work!!

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

67.5\ cm^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle (figure 1) plus the area of trapezoid (figure 2)

see the attached figure to better understand the problem

The area of the rectangle is

A=15*3=45\ cm^{2}

The area of the trapezoid is

A=\frac{1}{2}[(15-9)+3)](8-3)

A=\frac{1}{2}[6+3)](5)=22.5\ cm^{2}

The area of the figure is

45\ cm^{2}+22.5\ cm^{2}=67.5\ cm^{2}

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Step-by-step explanation:

Let the number of singing act be x

Let the number of comedy act be y

If the total act is 14, then;

x+y = 14..... 1

If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:

4.5x + 3.5y = 59 .......... 2

Solve both equation simultaneously for x and y

x+y = 14

45x+35y = 590

.................................

x+y = 14......... *9

9x+7y = 118....... 1

...............................

9x+9y = 126

9x+7y = 118

Subtract both equations

9y-7y = 126-118

2y = 8

y = 8/2

y = 4

Substitute y = 4 into equation 1;

From 1: x+y = 14

x+4 = 14

x = 14-4

x =10

Hence there are 10 singing acts and 4 comedy acts in the show

7 0
3 years ago
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The solution is in the attached file

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2 years ago
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5 0
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Use the following data set to answer numbers 1 - 4.
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Answer:

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Step-by-step explanation:

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∠x and ∠y are supplementary angles. ∠y measures 97੦ What is the measure of ∠x?
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Answer:

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Step-by-step explanation:

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180 - 97 = 83 degrees

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