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just olya [345]
3 years ago
6

the area of a circle is 60 π sq.cm. find the radius of the radius of the circle to the nearest tenth step-by-step

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

Answer:

r = 7.7

Step-by-step explanation:

A = πr²

60π = πr²

r² = 60π/π

r² = 60

\sqrt{r^2} =\sqrt{60}

r = 7.746

Rounded to tenths:

7.7

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Kim drew the diagram below to find x, the length of the pole holding up the stop sign that is at an angle with the ground as sho
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Answer:

the length of the pole is 9.90 feet.

Step-by-step explanation:

7 0
3 years ago
Which calculation should be used to calculate s9 for the arithmetic sequence an=3n-1
Ganezh [65]

Answer: Choice A

S9 = (9/2)*(2+26)

===============================================

The formula is

Sn = (n/2)*(a1+an)

where

Sn = sum of the first n terms (nth partial sum)

n = number of terms

a1 = first term

an = nth term

In this case,

n = 9

a1 = 2 (plug in n = 1 into the formula an = 3n-1 and simplify)

an = a9 = 26 (plug n = 9 into the formula an = 3n-1 and simplify)

So,

Sn = (n/2)*(a1+an)

S9 = (9/2)*(2+26)

will help us find the sum of the first 9 terms of this arithmetic sequence

7 0
3 years ago
Read 2 more answers
Keisha solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 2x + 8 = 6(x + 4) Combine like terms 2 2x
kolbaska11 [484]

4x - 2x + 8 = 6(x + 4)   Given

(4x - 2x) + 8 = 6(x + 4)

2x + 8 = 6(x + 4)     Combine like terms

2x + 8 = (6)(x) + (6)(4)

2x + 8 = 6x + 24    Distributive Property

2x - 6x + 8 = 6x - 6x + 24

-4x + 8 = 24      Subtraction Property of Equality

-4x + 8 - 8 = 24 - 8

-4x = 16    Subtraction Property of Equality

-4x : (-4) = 16 : (-4)

x = -4       Division Property of Equality

4 0
3 years ago
Explain the distance formula. Then use it to calculate the
Alex777 [14]

Answer:

dAB=10\ units

Step-by-step explanation:

we know that

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The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}

dAB=\sqrt{(-8)^{2}+(6)^{2}}

dAB=\sqrt{64+36}

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6 0
3 years ago
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What is a six sided shape called?
adell [148]

Answer:

hexagon

Step-by-step explanation:

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3 years ago
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