Find the sum of the interior angles of a regular 32-gon. Then find the measure of each angle.

Triangle GHI is similar to triangle JKL. If angle H measures 60 degrees and angle L measures 25 degrees, what is the measure of

In-s [12.5K]

180 - (60 +25)
= 180 - 85
= 95

m<K = 95 degrees

answer: D.) 95

7 0

4 years ago

Hyperbola Question:

AveGali [126]

Answer:

$\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600} = 1$

Step-by-step explanation:

A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.

The definition leads to the equation

$\dfrac{x^{2}}{a^{2}} - \dfrac{y^{2}}{b^{2}} = 1$

1. Calculate the value of a²

Assume the neighbours are at the foci A and B.

The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.

Then AB = 1 mi = 5280 ft

and the distance from the focus to the y-axis is

c = 2640

The vertices are (±a,0).

The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.

The distance from A to the vertex V₁ is c - a. Then

AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280

2a = 2200

a = 1100

a² = 1 210 000

2. Calculate the value of b²

$\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\1100^{2} + b^{2} & = & 2640^{2}\\b^{2} & = & 2640^{2} - 1100^{2}\\& = & 6969600 - 1210000\\& = & \mathbf{5759600}\\\end{array}$

3. Write the equation for the hyperbola

$\mathbf{\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600}} = \mathbf{1}$

5 0

4 years ago

Are all cubes similar? If so, explain why. If not, give an exapmle of two cubes that are not similar.

babunello [35]

All cubes are similar because every one of them have an equal width and length and height.

I really hope I helped

5 0

3 years ago

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I have a time limit please hurry!

kumpel [21]

The domain of the relation is 7,13 and the range of the relation is 4,20. I hope this helps.

4 0

3 years ago

Someone help :( 3333333

kkurt [141]

Answer:

Reason:

From the graph you can clearly see that the initial position of rock was 5 feet above as compared to its final position when it was thrown in water.

5 0

3 years ago

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