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3 years ago

What is the approximate area of the circle shown below?

Mathematics

2 answers:

creativ13 [48]3 years ago

4 0

Area = pi * radius²
Area = 3.14159 * 9²
Area = 3.14159 * 81
Area = 254.46879 
answer is D

mixas84 [53]3 years ago

4 0

Answer: The correct option is D.

Explanation:

From the given figure it is noticed that the point C is the center of the circle and the length of the diameter is 18 cm.

We know the diameter is twice of the radius,

$2r=d$

$2r=18$

$r=9$

Therefore, the radius of the circle is 9 cm.

The formula to find the area of the circle is,

$A=\pi r^2$

$A=\pi (9)^2$

$A=\pi (81)$

$A=254.469\approx 254$

Therefore, the D is the correct option. The area of the circle is 254 cm square.

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The graph is shown for the equation y = –x + 4.

ivann1987 [24]

Answer:

Option C. $y=-\frac{1}{2}(2x-8)$

Step-by-step explanation:

we know that

If a system of two linear equations has an infinite number of solutions, then both equations must be identical

The given equation is

$y=-x+4$

Verify each case

Option A. we have

$y=-4(x+1)$

apply distributive property

$y=-4x-4$

Compare with the given equation

$-x+4 \neq -4x-4$

Option B. we have

$y=-(x+4)$

remove the parenthesis

$y=-x-4$

Compare with the given equation

$-x+4 \neq -x-4$

Option C. we have

$y=-\frac{1}{2}(2x-8)$

apply distributive property

$y=-x+4$

Compare with the given equation

$-x+4=-x+4$

therefore

This equation with the given equation form a system that has an infinite number of solutions

Option D. we have

$y=x+4$

Compare with the given equation

$-x+4 \neq x+4$

7 0

3 years ago

Exponents with decimal and fractional base: Evaluate (0.5)2=

Leokris [45]

Answer: Your Answer is 1

Step-by-step explanation: (0.5) (2) Imagine your trying to get to the number 1 0.5 is half of one 0.5 x 2 = 1 Hope I helped!!!! (:

8 0

3 years ago

Application

user100 [1]

He needs to run with approximately 6429 for a distance of 9 km

<h3>How to determine the number of strides?</h3>

The given parameters are:

Length of stride = 1.4 m

Distance for marathon = 9 km

The number of strides needed is then calculated as:

Number of stride = Distance for marathon/Length of stride

Substitute the known values in the above equation

Number of stride = 9km/1.4m

Convert km to m

Number of stride = 9000m/1.4m

Evaluate the quotient

Number of stride = 6428.57143

Approximate the estimate

Number of stride = 6429

Hence, he needs to run with approximately 6429 for a distance of 9 km

Read more about quotients at:

brainly.com/question/8952483

#SPJ1

6 0

2 years ago

HELP PLEASE! I will rate 5 stars and give brainliest!!!

larisa86 [58]

Answer:

see explanation

Step-by-step explanation:

The n th term ( explicit formula ) of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = - 95 and a₃₇ = - 270 , then

a₁ + 11d = - 95 → (1)

a₁ + 36d = - 270 → (2)

Subtract (1) from (2) term by term to eliminate a₁

25d = - 175 ( divide both sides by 25 )

d = - 7

Substitute d = - 7 into (1) and solve for a₁

a₁ + 11(- 7) = - 95

a₁ - 77 = - 95 ( add 77 to both sides )

a₁ = - 18 , thus

$a_{n}$ = - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11

$a_{n}$ = - 7n - 11 ← explicit formula

--------------------------------------------------------------

The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus

$a_{n}$ = $a_{n-1}$ - 7 with a₁ = - 18 ← recursive formula

5 0

3 years ago

In circle P, chord AB is 3 inches from the center and chord CD is 5 inches from the center. Chord CD is ____ than chord AB.

Leno4ka [110]

The chord that goes through the center of a circle, the diameter, is the longest chord in a circle. Any other chord will be shorter than this. The farther a chord is away from the circle, the shorter it will be. This means that chord CD is shorter than chord AB.

5 0

3 years ago

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