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marusya05 [52]
2 years ago
13

The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π.

Mathematics
1 answer:
ryzh [129]2 years ago
4 0

Answer:

Option (2). 14 m

Step-by-step explanation:

Formula to get the area of a circle 'A' = \pi r^{2}

where r = radius of the circle

Given in the question,

Area of the circle = 153.86 square meters

By putting the values in the formula,

153.86 = πr²

r = \sqrt{\frac{153.86}{\pi } }

r = \sqrt{49}

r = 7 meters

Diameter of circle = 2 × (radius of the circle)

                              = 2 × 7

                              = 14 meters

Therefore, diameter of the circle is 14 meters.

Option (2) is the answer.

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The path of the ball is an illustration of absolute equation.

The equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

The given parameters are:

(h,k) = (4.8,6.4) --- the vertex (i.e. the point where the ball hits the wall)

(x_1,y_1) = (2,1.6)

(x_2,y_2) = (7.6,1.6)

An absolute function is represented as:

y = a |x - h| + k

Substitute (h,k) = (4.8,6.4)

y = a |x - 4.8| + 6.4

Substitute (x_1,y_1) = (2,1.6) for x and y

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1.6 = a|- 2.8| + 6.4

Remove absolute bracket

1.6 = 2.8a + 6.4

Collect like terms

2.8a = -6.4+1.6

2.8a =- 4.8

Solve for a

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a =-\frac{12}{7}

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y =- \frac{12}7|x- 4.8| + 6.4

Hence, the equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

See attachment for graph that models the path

Read more about absolute equations at:

brainly.com/question/2166748

5 0
2 years ago
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tiny-mole [99]

Answer:

Car: 18.4% Other: 4.9%

Step-by-step explanation:

Glenn family yearly total expenses are

\$8,600+\$4,800+\$5,400+\$2,400+\$7,000+\$1,800=\$30,000

Other expenses are $7,000.

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Now, the expenses for the following two categories are

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Car:

\dfrac{5,520}{30,000}\cdot 100\%=18.4\%

Other

\dfrac{1,480}{30,000}\cdot 100\%\approx 4.93\%

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