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GuDViN [60]
3 years ago
6

A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 50 ya

rds, which he decides will be the major axis of his elliptical chamber. He determines the best spots for his guests to stand to experience his whisper chamber will be 10 yards from the center of the warehouse space, which will act as the foci. How far out from the center, along the minor axis should he build out his whisper chamber?
53.9 yd

45.8 yd

26.9 yd

22.9 yd
Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer:

22.9 yards

Step-by-step explanation:

Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.

So, b = ±√(a² - c²)

= ±√(25² - 10²)

= ±√(625 - 100)

= ±√525

= ±22.91 yards

≅ ± 22.9 yards

Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.

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The grill was regularly priced at $58, but Jared had a coupon for 25% off. How much money did Jared save by using his coupon?
frosja888 [35]

Answer:

He saves $14.50

Step-by-step explanation:

We can find the discount by multiplying the price by the percentage off

58* .25  = 14.50

He saves $14.50


7 0
3 years ago
Read 2 more answers
A rounded scoop of ice cream<br> is put onto a cone so that half<br> of it is in the cone.
Len [333]

Answer:

If im not wrong, the correct answer is 752.4cm cube

Step-by-step explanation:

First, we find volume of hemisphere, then find the volume of the cone, once we get those, we add them together and find our final answer. I hope this helps :)

7 0
1 year ago
Is (1, 4) a solution to the equation y = 7x?
olga nikolaevna [1]

Answer:

not a solution

Step-by-step explanation:

Substitute the point into the equation and see if it is true

y = 7x

4 = 7*1

4 = 7

This is not true so it is not a solution

8 0
2 years ago
34 in.
Troyanec [42]

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = \sqrt{1156-256}

     = \sqrt{900}

     = 30 in.

Perimeter of the triangular base = AB + BC + AC

                                                      = 16 + 30 + 34

                                                      = 80 in

Lateral surface area = 80 × 22

                                  = 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                                           = \frac{1}{2}(30)(16)

                                                           = 240 in²

Total surface area = 1760 + 2(240)

                               = 1760 + 480

                               = 2240 in²

Volume = Area of the triangular base × Height

             = 240 × 20

             = 4800 in³

6 0
2 years ago
You deposit $500 into a savings account that earns 3.2% annual interest. How much is in the savings account after 10 years?
Brilliant_brown [7]
A = P(1 +r/n)^nt
P = 500
r = 3.2% = 0.032
n = 1
t = 10

A = 500(1 + 0.032)^10
A = $685.12
7 0
2 years ago
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