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Yanka [14]
3 years ago
7

Find the diameter of a circle with an area of 226.98

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0
Remember the formula of the area of a circle is:
V =  \pi * r^{2}
SO given that
V = 226.98
and \pi = 3.14
Plug in a chug
226.98 = 3.14 * r^{2}
r^{2}=  72.287
r = 8.50

Remember that d = 2 * r
d = 2 * 8.5 = 17
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I need to find the value of x and the measure of the exterior angle
adell [148]

Given:

In a right angle triangle, the measure of exterior angle is (9x+16)^\circ.

The measure of opposite interior angle is (5x-14)^\circ.

To find:

The value of x.

Solution:

Exterior angle theorem: In a triangle the measure of an exterior angle is equal to the measure of sum of two interior angles.

Using exterior angle theorem, we get

(9x+16)^\circ=90^\circ+(5x-14)^\circ

(9x+16)^\circ=(5x+76)^\circ

9x+16=5x+76

Isolate the variable x.

9x-5x=-16+76

4x=60

x=\dfrac{60}{4}

x=15

The value of x is 15. So, the measure of the exterior angle is:

(9x+16)^\circ=(9(15)+16)^\circ

(9x+16)^\circ=(135+16)^\circ

(9x+16)^\circ=151^\circ

Therefore, the value of x is 15 and the measure of the exterior angle is 151 degrees.

7 0
3 years ago
Express p= k/v as a proportion.
Mandarinka [93]
<span>(p/1) = (k/v) is you Answer.</span>
7 0
3 years ago
Read 2 more answers
A barrel contained 70 gallons of water. Water leaked out of the barrel at a rate of 5 gallons every 3 days.
Ainat [17]

Answer:

42 days

Step-by-step explanation:

Given

Gallons = 70

Leakage = 5 gallons in 3 days

Required

Determine the number of days it finish leaking out

The scenario can be represented as:

5 gallons = 3 days

and

70 gallons = x

Where x represents the number of days to leak out 70 gallons

Cross Multiply:

5 * x = 3 * 70

5 x = 210

Divide both sides by 5

x = \frac{210}{5}

x = 42

<em>Hence, it'll take 42 days</em>

3 0
2 years ago
In 1992, South Dakota's population was 10 million. Since then, the population has grown by 1.4% each year. Based on this, when w
ella [17]

Answer:

  • 49.9 years or 50 years later.
  • At year : 2042

Explanation:

use compound interest formula:  \sf \boxed{ \sf P ( \sf 1 + \dfrac{r}{100} )^n}

\rightarrow \s \sf 10( 1 + \dfrac{1.4}{100} )^n = 20

\rightarrow \sf ( 1.014) ^n = 2

\rightarrow \sf n( ln( 1.014) ) = ln(2)

\rightarrow\sf n = \dfrac{ln(2)}{ln( 1.014)}

\rightarrow\sf n = 49.8563 \ years

8 0
2 years ago
Read 2 more answers
Guys I really need help with these too thanks u before!!!!
Natali5045456 [20]
Hey!!

here is your answer >>>

1) 3x - 10 > 11

let's take this as 3x - 10 = 11

3x = 21

x = 7
So, The numbers of X are always more than 7

2) 9x + 2 < 5

9x + 2 = 5

9x = 3

x = 1÷2

The numbers of X are always less than 1 ÷ 2

3) 2x + 8 < 6

2x + 8 = 6

2x = 2

x = 1

The numbers of X are less than 1

4) 4x - 3 < 12

4x - 3 = 12

4x = 15

x = 15 ÷ 4

The numbers of X are less than 15 ÷ 4

5) 2 ( 9 + x ) > 20

2 ( 9 + x ) = 20

9 + x = 10

x = 1

The numbers of X are more than 1

We can solve the rest using this

Hope my answer helps!
5 0
3 years ago
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