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3 years ago

Given that the measurement is in centimeters, find the area of the circle to the nearest tenth. (Use 3.14 for π)

Mathematics

1 answer:

kvv77 [185]3 years ago

7 0

Answer:

Option D) 254.3 cm2

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=9\ cm$

substitute

$A=(3.14)(9)^{2}=254.3\ cm^2$

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Follow the directions to solve the system of equations by elimination. 8x + 7y=39 4x – 14y = -68

harina [27]

Step-by-step explanation:

Hey there!

Here;

The equations are;

$8x + 7y = 39.......(i)$

$4x - 14y = - 68..........(ii)$

Multiplying equation (i) by 2.

16x + 14y = 78

4x - 14y = -68

20x = 10

$x = \frac{10}{20}$

x = 1/2.

Putting value of 'x' in equation (i).

$8 \times \frac{1}{2} + 7y = 39$

$4 + 7y = 39$

$7y = 3 9 - 4$

$y = \frac{35}{7}$

Therefore the value of y is 5.

Check:

Put value of x and y in equation (i).

8x + 7y = 39

$8 \times \frac{1}{2} + 7 \times 5 = 39$

$4 + 35 = 39$

$39 = 39$

(True).

Therefore, the solution is ; (1/2,5).

Hope it helps...

8 0

3 years ago

What is 41/6 simplified into 12

FrozenT [24]

41/6 = - 41/6 = - 6 5/6 = - 6.833333333333; Result written as a negative improper fraction, a mixed number (also called a mixed fraction) and a decimal number. Ordinary (simple, common) math fraction reducing to lowest terms (simplifying), answer with explanations below.

3 0

2 years ago

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The diagram shows a triangle.The sizes of the angles, in degrees, arex 30Work out the value ofx.Diagram NOTaccurately drawn

Korvikt [17]

X=25 degrees

2x+3x+x+30 = 180
6x+30 = 180
180 - 30 = 150
6x = 150
150/6 = 25
X = 25

4 0

3 years ago

A 15-foot ladder is leaning against a house. The bottom of the ladder is 9 feet away from the base of the house. How far up the

vitfil [10]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

h = √144 = 12 feet

7 0

3 years ago

The area of a rectangle is 30 square feet. The base of the rectangle is 7.5

BigorU [14]

Answer:

4 ft

Step-by-step explanation:

<h3>Area of rectangle:</h3>

Area = 30 square ft

base = 7.5 ft

$\sf \boxed{height \ of \ rectangle = \dfrac{Area}{base}}$

$\sf =\dfrac{30}{7.5}\\\\=\dfrac{30*10}{7.5*10}\\\\=\dfrac{300}{75}\\\\= 4 ft$

8 0

1 year ago