(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°

Find all values of y such that the distance between (7,y) and (-3,8) is 18 Y=

patriot [66]

To calculate the distance between 2 points we will use the following equation:

$D=\sqrt[]{(x_2-x_1)^2-(y_2-y_1)^2}$

For this exercise we have the following data:

$\begin{gathered} D=18 \\ x_1=7 \\ x_2=-3 \\ y_1=y \\ y_2=8 \end{gathered}$

We plug the values into the distance equation and solve for the unknown Y

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7 0

1 year ago

Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to cal

Phantasy [73]

Answer:

Part A

$The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}$

Plugging in the given values we get;

$The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12$

R = 12 inches

The radius of the circumscribing circle is 12 inches

Part B

The length of each side of the hexagon, 's', is;

$s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)$

Therefore;

$s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12$

s = 12 inches

The perimeter, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon is 72 inches

Step-by-step explanation:

The given parameters of the regular hexagon are;

The length of the apothem of the regular hexagon, a = 6·√3 inches

The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;

$a = R \cdot cos \left(\dfrac{\pi}{n} \right)$

Where;

n = The number of sides of the regular polygon = 6 for a hexagon

'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;

Part A

Therefore, we have;

$The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}$

Plugging in the values gives;

$The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12$

The circumradius, R = 12 inches

Part B

The length of each side of the hexagon, 's', is given as follows;

$s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)$

Therefore, we get;

$s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12$

The length of each side of the hexagon, s = 12 inches

The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon = 72 inches

5 0

3 years ago

If hypotenuse the right angle of a triangle is 17 inches the other is 15, what is the length of the other?

IgorLugansk [536]

I think it is 75 inches

hope this help you

6 0

3 years ago

Kane is training for a marathon. He starts by running 3 miles during every training session. Each week plans to increase the dis

erastova [34]

Answer:

where is the rest of the question

Step-by-step explanation:

6 0

3 years ago

What are the x-intercepts of the graph of the function f(x)= x^2+4x-12

levacccp [35]

(2,0)
(-6,0)
I just inserted the equation into a graphing calculator. Kinda lazy tonight :/

7 0

4 years ago

(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°​

(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°