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3 years ago

A round patio is 14 m in diameter. what is the distance around the patio

2 answers:

5 0

You would need to find the circumstance which the formula is pi*D. with D being the diameter. you would multiply 14 by 3.14 and get 43.96. Therefore the circumstance would be 43.96. hope this helped

mixas84 [53]3 years ago

5 0

Since it is round, it is a circle.

Distance round a circle is the perimeter. Perimeter of a circle is = πd

where d = diameter.

Perimeter = πd = π*14 = 14π

Perimeter ≈ 14 * 3.14159 ≈ 43.98226

Distance around the patio ≈ 43.98 m.

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Use the Law of Cosines to find the values of x and y. (PLEASE HELPPP!!!!)

vredina [299]

Answer:

$x = 49.8^\circ\\y = 54.6^\circ$

Step-by-step explanation:

Kindly refer to the image attached in the answer region for labeling of triangle.

AB = 16

BC = 19

AC = 15

$\angle ABC = x^\circ\\\angle ACB = y^\circ$

We have to find the angles x and y i.e. $\angle B \text{ and }\angle C$ .

Formula for cosine rule:

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Where

a is the side opposite to $\angle A$ ,

b is the side opposite to $\angle B$ and

c is the side opposite to $\angle C$ .

$\Rightarrow cos x = \dfrac{19^{2}+16^{2}-15^{2}}{2 \times 19 \times 16}\\\Rightarrow cos x = \dfrac{392}{608} \\\Rightarrow x = 49.8^\circ$

Similarly, for finding the value of y:

$cos C = \dfrac{a^{2}+b^{2}-c^{2}}{2ab}\\\Rightarrow cos y = \dfrac{19^{2}+15^{2}-16^{2}}{2 \times 19 \times 15}\\\Rightarrow cos y = \dfrac{330}{570}\\\Rightarrow y = 54.6^\circ$

Hence, the values are:

$x = 49.8^\circ\\y = 54.6^\circ$

7 0

3 years ago

X²-4x-45 I need to factor this equation

Alchen [17]

Answer:

= (x + 5)(x - 9)

Step-by-step explanation:

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3 years ago

I need help plz #12 plz I don’t understand

Trava [24]

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2 years ago

Select the best answer for the question 7/8=?/48

iris [78.8K]

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3 years ago

A cone is filled to a height of 3 inches with a liquid. The liquid is then poured into an empty cylinder with the same height an

Tasya [4]

Answer: 1 inch

Volume of the cylinder = πr²h

Volume of the cone = 1/3πr²h

If the radius are the same for both the cone and the cylinder, then the liquid will reach 1/3 of its height in the cylinder compared to the cone.

Height = 1/3 x 3 inches
Height = 1 inch

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Answer: The height of the cylinder will be 1 inch.
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3 0

2 years ago