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Svetlanka [38]
3 years ago
11

Find the area of a circle with a circumference of 6.28 unitesz

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

3.14 square units

Step-by-step explanation:

Circumference of a circle = 2πr

2πr = 6.28

r = 6.28/2π

r = 3.142/π

Area of a circle = πr^2

slot in the value of r

Area of the circle = π( 3.142/π)^2

               "              = π(9.87/ π^2)

                "             = 9.87/π

π = 3.14

Area of a circle = 9.867/ (3.14)

              "            = 3.14 square units

                     

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The point P(5, −4) lies on the curve y = 4/(4 − x).
dalvyx [7]

Answer:

4

Step-by-step explanation:

Slope refers to the steepness of the line.

Slope is equal to change in value of y divided by change in value of x.

The slope of the secant line is given by \frac{f(x)-f(a)}{x-a}.

Given points are P\left ( 5,-4 \right )\,,\,Q\left ( x,\frac{4}{4-x} \right )

So, slope of the secant line is \frac{\frac{4}{4-x}+4}{x-5}=\frac{4+4(4-x)}{(x-5)(4-x)}=\frac{20-4x}{(x-5)(4-x)}=\frac{-4(x-5)}{(x-5)(4-x)}=\frac{-4}{4-x}=\frac{4}{x-4}

(i) At x = 4.9,

\frac{4}{4.9-4}=\frac{4}{0.9}=4.444444

(ii) At x = 4.99,

\frac{4}{4.99-4}=\frac{4}{0.99}=4.040404

(iii) At x = 4.999,

\frac{4}{4.999-4}=\frac{4}{0.999}=4.004004

(iv) At x = 4.9999,

\frac{4}{4.9999-4}=\frac{4}{0.9999}=4.0004

(v) At x =5.1,

\frac{4}{5.1-4}=\frac{4}{1.1}=3.636364

(vi)

At x = 5.01,

\frac{4}{5.01-4}=\frac{4}{1.01}=3.960396

(vii) At x = 5.001,

\frac{4}{5.001-4}=\frac{4}{1.001}=3.996004

(viii) At x = 5.0001,

\frac{4}{5.0001-4}=\frac{4}{1.0001}=3.9996

(b)

Slope of the tangent line is 4.

5 0
3 years ago
What is the volume of the prism below?
Fudgin [204]

Answer: A) 150 cubic units

V = area of the base <u>times</u> the height of the prism.

(5)(6) = 30

30/2 =15

V = (15)(10)

V = 150 cubic units

5 0
2 years ago
A square piece of tissue paper has sides that are 12 centimeters long. What is the tissue
slega [8]

Answer:

48

Step-by-step explanation:

A square has 4 sides of equal length. 12 x 4=48

7 0
3 years ago
Read 2 more answers
M is the midpoint of PQ, N is the midpoint of MQ, and L is the midpoint of MN. IfPQ = 64, find LN.
alisha [4.7K]
LN=8 because every time there is a midpoint you have to divide it in half. So 64,32,16,8
7 0
3 years ago
9) Is 0 a solution to 3x + 8 = 5x + 8? Explain or show your reasoning .​
alex41 [277]

Answer:

x=0, yes.

Step-by-step explanation:

3x+8=5x+8

5x-3x+8=8

2x+8=8

2x=8-8

2x=0

x=0/2

x=0

4 0
3 years ago
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