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Kazeer [188]
3 years ago
15

Find the area of a circle which has a diameter of 26 centimeters.Round to the nearest hundredth (2 spaces beyond the decimal)

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

531 cm^2  approx

Step-by-step explanation:

Given data

Diameter= 26 cm

radius= d/2= 26/2= 13 cm

Area= πr^2

substitute

A= 3.142*13^2

A= 3.142*169

A= 530.998

A= 531 cm^2  approx

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1.) -2(6 - 2x) = 4(-3 + x)<br> 2.) 5 - 1(2x + 3) = -2(4 + x)
Scrat [10]

Let's solve your equation step-by-step.

Question 1:   −2(6−2x) =4(−3+x)

 

Step 1: Simplify both sides of the equation.

−2(6−2x) =4(−3+x)

(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)

−12+4x=−12+4x

4x−12=4x−12

 

Step 2: Subtract 4x from both sides.

4x−12−4x=4x−12−4x

−12=−12

 

Step 3: Add 12 to both sides.

−12+12=−12+12

0=0

Answer: All real numbers are solutions.

Question 2:  

Let's solve your equation step-by-step.

5−1(2x+3) =−2(4+x)

 

Step 1: Simplify both sides of the equation.

5−1(2x+3) =−2(4+x)

5+(−1) (2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)

5+−2x+−3=−8+−2x

(−2x) +(5+−3) =−2x−8(Combine Like Terms)

−2x+2=−2x−8

−2x+2=−2x−8

 

Step 2: Add 2x to both sides.

−2x+2+2x=−2x−8+2x

2=−8

 

Step 3: Subtract 2 from both sides.

2−2=−8−2

0=−10

 

Answer: There are no solutions.

 

8 0
3 years ago
Identify the coefficient of -z
harina [27]

Answer:

-1

Step-by-step explanation:

Your welcome back to the inputs is

6 0
3 years ago
Round 0.868 to the nearest tenth.
Anna11 [10]

Answer: 0.9

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.
7nadin3 [17]

Answer:

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

Step-by-step explanation:

Antiderivative F(x)

This is the integral of F^{\prime}(x)

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

F(x) = \int (6 + 24x^3 + 18x^5) dx

F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K

F(x) = 6x + 6x^4 + 3x^6 + K

F(1)=0

F(X) = 0 when x = 1. We use this to find K.

F(x) = 6x + 6x^4 + 3x^6 + K

0 = 6 + 6 + 3 + K

K = -15

Thus

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

7 0
3 years ago
Question 2
Tasya [4]

Answer:

24x+48  using the <u>distributive property.</u>

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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