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Molodets [167]
2 years ago
13

The radius of a circle is 2 yards. What is the circle's area? r=2 yd Use 3.14 for ​.

Mathematics
1 answer:
MaRussiya [10]2 years ago
7 0

Answer:

12.56

Step-by-step explanation:

pi(r)^2

3.14(2)^2

12.56

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Please help me simplified this
Lera25 [3.4K]

For this case we have that by definition, the perimeter of the quadrilateral shown is given by the sum of its sides:

Let "p" be the perimeter of the quadrilateral, then:

p = 7 + y + 7 + x\\p = 7 + 7 + x + y\\p = 14 + x + y

So, the perimeter of the figure is: 14 + x + y

Answer:

p = 14 + x + y

7 0
3 years ago
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A ladder leans against the side of a house. The angle of elevation of the ladder is 62 degrees and the top of the ladder is 14 f
marysya [2.9K]

Answer:

7.4 feets

Step-by-step explanation:

Distance from bottom of ladder to side of the house = d

θ = 62 ; height, h = 14

Using trigonometry :

Tan θ = opposite / Adjacent

Opposite = height ; adjacent = d

Tan 62° = 14 / d

1.8807264 * h = 14

d = 14 / 1.8807264

d = 7.44

5 0
3 years ago
Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam
Vlad [161]

Answer

P(A) = 0.30

P(B) = 0.77

P(A\ n\ B) = 0.22

P(A\ u\ B) = 0.85

Explanation:

Given

See attachment for proper data presentation

n = 100 --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

Yes = 22 and No = 8

n(A) = Yes + No

n(A) = 22 + 8

n(A) = 30

P(A) is then calculated as:

P(A) = \frac{n(A)}{Sample}

P(A) = \frac{30}{100}

P(A) = 0.30

Solving (b): P(B)

We only consider data in the Yes column.

Here:

(1) = 22    (2) = 25 and (3) = 30

n(B) = (1) + (2) + (3)

n(B) = 22 + 25 + 30

n(B) = 77

P(B) is then calculated as:

P(B) = \frac{n(B)}{Sample}

P(B) = \frac{77}{100}

P(B) = 0.77

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

n(A\ n\ B) = 22

The probability is then calculated as:

P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}

P(A\ n\ B) = \frac{22}{100}

P(A\ n\ B) = 0.22

Solving (d): P(A u B)

This is calculated as:

P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)

This gives:

P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}

Take LCM

P(A\ u\ B) = \frac{30+77-22}{100}

P(A\ u\ B) = \frac{85}{100}

P(A\ u\ B) = 0.85

7 0
3 years ago
You payed $54 for a game that was 10% off. What was the original price of the game?
Fittoniya [83]

Answer:

I think is is 5.4

Step-by-step explanation:

what I did is divided the problem

3 0
3 years ago
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1. What is the perimeter, and area, of a square with a side length of 3 inches?
pogonyaev

perimeter: 12 inches

area: 9 inches

8 0
3 years ago
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