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3 years ago

Find the area, seventh grade math problem please help

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

6 0

Answer:

78 ft²

Step-by-step explanation:

$A=\frac{a+b}{2} h$

$A=\frac{11+15}{2}6$

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in a change jar, tom has nickels and dimes. the number of nickels is two times the number of dimes and the total amount of money

AleksAgata [21]

N=number of nickles
d=number of dimes

n is 2 times d
n=2d
total money is 1.20
convert to cens
120 cetns

5n+10d=120
n=2d
5(2d)+10d=120
10d+10d=120
20d=120
divide both sides by 120
d=6
6 dimes is answer

answer is A, 6 dimes

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3 years ago

Find the central angle of a sector of a circle of the area of the sector and the area of the circle are in the proportion of 3:5

abruzzese [7]

Answer:

$\theta = 216$

Step-by-step explanation:

Given

Area of Sector : Area of Circle = 3 : 5

Required

Determine the central angle

The question implies that

$\frac{Area_{sector}}{Area_{circle}} = \frac{3}{5}$

Multiply both sides by 5

$5 * \frac{Area_{sector}}{Area_{circle}} = \frac{3}{5} * 5$

$5 * \frac{Area_{sector}}{Area_{circle}} = 3$

Multiply both sides by Area{circle}

$5 * \frac{Area_{sector}}{Area_{circle}} * Area_{circle} = 3 * Area_{circle}$

$5 * {Area_{sector} = 3 * Area_{circle}$

Substitute the areas of sector and circle with their respective formulas;

$Area_{sector} =\frac{\theta}{360} * \pi r^2$

$Area_{circle} = \pi r^2$

So, we have

$5 * \frac{\theta}{360} * \pi r^2 = 3 * \pi r^2$

Divide both sides by $\pi r^2$

$5 * \frac{\theta}{360} * \frac{ \pi r^2}{\pi r^2} = 3 * \frac{\pi r^2}{\pi r^2}$

$5 * \frac{\theta}{360} = 3$

Multiply both sides by 360

$360 * 5 * \frac{\theta}{360} = 3 * 360$

$5 * \theta = 3 * 360$

Divide both sides by 5

$\frac{5 * \theta}{5} = \frac{3 * 360}{5}$

$\theta = \frac{3 * 360}{5}$

$\theta = \frac{1080}{5}$

$\theta = 216$

Hence, the central angle is 216 degrees

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3 years ago

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Rasek [7]

Answer:

Round out to the nearest 10th say 5 it would stay 5 unlike 8 would round to 10

Step-by-step explanation:

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Answer:

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cupoosta [38]

Answer:

8/9 8 to 9

Step-by-step explanation:

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