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Roman55 [17]
3 years ago
11

The area of a circle is approximately 379.94 square inches. What is the diameter of the circle? [Use 3.14 as an approximation fo

r pi.] a0 inches

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0
The diameter would be 21.99. 

avanturin [10]3 years ago
4 0

Answer:

Diameter=22 inches

Step-by-step explanation:

It is given that The area of a circle is approximately 379.94 square inches, then using the formula for the area of the circle, we get

A={\pi}r^2

Substituting the given values, we have

379.94={\pi}r^2

⇒379.94=3.14r^2

⇒\frac{379.94}{3.14}=r^2

⇒r^2=121

⇒r=11

Now, the diameter of the circle is given as:

D=2r

Putting the value of r, we have

D=2(11)

⇒D=22 inches

Thus, the diameter of the circle is 22 inches.

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dybincka [34]

Answer:

4

Step-by-step explanation:

H (height the 2x4 contact the fence)

sin 30° = H / 8

1 /2 = H / 8

H = 1/2 * 8 = 4

3 0
3 years ago
Is 2.6 bigger than 2.661
Sauron [17]
2.6 = 2.600
So, 2.6 is not bigger than 2.661
3 0
4 years ago
Read 2 more answers
PLEASE HELP ME SO I CAN GRADUATE!!!!!
Aleks04 [339]

Answer:

A: -41/9

Step-by-step explanation:

Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.

-5 = -1/9(4) + b

-5 = -4/9 + b

Solve for b:

b = -41/9

Our equation: y = -1/9(x) - 41/9

7 0
3 years ago
(x7) - 3 = 4
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Answer:

detailed one

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7 0
3 years ago
Lizzie rolls two dice. What is the probability that the sum of the dice is:
zhenek [66]

Answer:

A.\ \dfrac{1}{3}\\B.\ \dfrac{5}{12}\\C.\ \dfrac{7}{36}\\

Step-by-step explanation:

Total outcomes possible: 36

A. Divisible by 3

Possible options are:

3, 6, 9 and 12.

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Possible outcomes for 9 are: {(3,6), (4,5), (5,4),(6,3)} Count 4

Possible outcomes for 12 are: {(6,6)} Count 1

Total count = 2 + 5 + 4 + 1 = 12

Probability of an event E can be formulated as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A)  = \dfrac{12}{36} = \dfrac{1}{3}

B. Less than 7:

Possible sum can be 2, 3, 4, 5, 6

Possible cases for sum 2: {(1,1)}  Count 1

Possible cases for sum 3: {(1,2), (2,1)}  Count 2

Possible cases for sum 4: {(1,3), (3,1), (2,2)}  Count 3

Possible cases for sum 5: {(1,4), (2,3), (3,2),(4,1)}  Count 4

Possible cases for sum 6: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Total count = 1 + 2 + 3 + 4 + 5 = 15

P(B)  = \dfrac{15}{36} = \dfrac{5}{12}

C. Divisible by 3 and less than 7:

P(A \cap B) = \dfrac{n(A\cap B)}{\text{Total Possible outcomes}}

Here, common cases are:

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

P(A \cap B) = \dfrac{7}{\text{36}}

5 0
3 years ago
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