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WARRIOR [948]
4 years ago
9

Find the area of the following circle. (Round answer to the nearest whole number.) Circumference = 280 cm. (Hint: Find r from C

= 2πr (round r to tenths); then find area). 1) 89 2)560 3)1,989 4)6,246
Mathematics
2 answers:
Marrrta [24]4 years ago
4 0
Find r :
C=2πr
280=2(3.14)r
r=280/2(3.14)
r=44.6cm

find area :
A=πr²
A=3.14(44.6)²
A=6246 cm²

Answer : 4)6,246
pogonyaev4 years ago
4 0

Answer:

4)6,246

Step-by-step explanation:

First we will find the value of r.

The formula for circumference is C = 2πr:

280 = 2(3.14)r

280 = 6.28r

Divide each side by 6.28:

280/6.28 = 6.28r/6.28

44.6 ≈ r

The formula for the area of a circle is

A = πr²

Using our value for r, we have

A = 3.14(44.6)² = 6245.9624 ≈ 6246

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Step-by-step explanation:

By the Intersecting Secants Theorem, we know that:

(5)(x+5)=(6)(6+4)

Having this, we can find the value of "x" by solving for "x":

Applying Distributive property:

(5)(x+5)=(6)(24)\\5x+25=60

Subtract 25 from both sides of the equation:

5x+25-25=60-25\\5x=35

And finally dviding both sides of the equation by 5, we get:

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7 0
3 years ago
Write the equation for the line whose slope is -1/4 and goes through the point (-2,6)​
Kryger [21]

Answer:

y = -\frac{1}{4} + \frac{11}{2}

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

6 = -\frac{1}{4}(-2) + b               multiply -\frac{1}{4} and 2

6 = \frac{1}{2} + b                         subtract \frac{1}{2} from both sides

b = \frac{11}{2}

now we plug m and b into the equation and leave x and y as variables to get the final equation:

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Answer:

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Step-by-step explanation:

0.89898989.... is the correct answer because it can be written as \frac{89}{99} in the simplest form. and 0.89898989.... is rational because it is a repeating number.

Any rational number is a number that can be written as a fraction, a repeating decimal, a whole number, an integer, etc. As long as the number is a number with infinite digits like π.

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What are the solutions of the quadratic equation (x + 3)2 = 49? A. O x = 2 and x = - 10 B.O.x = 4 and x = -10 C.O x=-2 and x = -
tatyana61 [14]

Answer:

B. x = 4 and x = -10

Step-by-step explanation:

First, expand the equation

(x + 3)² = 49

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Subtract 49 from both sides

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