Please formulas circle

Two vertical posts stand side by side. One post is 8 feet tall while the other is 17 feet tall. If a 24 foot wire is stretched b

Fofino [41]

Answer:

22 1/4 feet

Step-by-step explanation:

you can sketch this problem to be a right triangle with a hypotenuse of 24 feet and one leg of 9 feet (17 - 8).

use Pythagorean Theorem to find the base side, which represents the distance between the posts

a² + 9² = 24²

a² + 81 = 576

a² = 576 - 81

a² = 495

a = $\sqrt{495}$

a = $\sqrt{9}$ · $\sqrt{55}$ = 3 $\sqrt{55}$ , which is approx 22.25

6 0

3 years ago

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25 POINTS GUYS PLEASE HELP ME WITH THIS QUESTION WHAT IS 1+1

kirza4 [7]

Answer:

2

Step-by-step explanation:

1 + 1 = 2

5 0

3 years ago

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VGravel is being dumped from a conveyor belt at a rate of 50 ft3/min. It forms a pile in the shape of a right circular cone whos

kupik [55]

Answer:

0.325 ft/min

Step-by-step explanation:

To solve we must follow the following steps:

First, the volume of a cone is given by the equation:

Vc = (1/3) * Pi * (r ^ 2) * h

where r is the radius and h is the height.

they tell us that the height is equal to twice the radius, therefore

h = 2r; r = h / 2

replacing r in the volume of the cone:

Vc = (1/3) * Pi * ((h / 2) ^ 2) * h

solving we have:

Vc = (1/3) * Pi * (1/4) * (h ^ 2) * h

Vc = (1/12) * Pi * h ^ 3

They give us the change in volume with respect to time, that is, dV / dt = 50

It can also be expressed in the following way:

dV / dt = (dV / dh) * (dh / dt)

We know V, so we can derive with respect to h, we are like this:

dV / dh = 3 * (1/12) * Pi * h ^ 2

dV / dh = (1/4) * Pi * h ^ 2

we know that h is equal to 14, therefore:

dV / dh = (1/4) * Pi * 14 ^ 2

dV / dh = (1/4) * 3.14 * 196 = 153.86

Now if we replace

dV / dt = (dV / dh) * (dh / dt)

50 = 153.86 * (dh / dt)

(dh / dt) = 50/158.36

(dh / dt) = 0.3249

This means that the change in height with respect to time is 0.325 feet per minutes.

4 0

3 years ago

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Solve 7x – 2y = –3 14x + y = 14 a. (4,5/7) b. (4,7/5) c. (5/7,4) d. (7/5,4)

den301095 [7]

7x - 2y = -3 . . . (1)
14x + y = 14 . . . (2)
(1) x 2 => 14x - 4y = -6 . . . (3)
(2) - (3) => 5y = 20
y = 20/5 = 4
From (1); 7x - 2(4) = -3
7x - 8 = -3
7x = -3 + 8 = 5
x = 5/7

Solution = (5/7, 4)

3 0

4 years ago

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I=$24, P=$400, t=2 years The annual interest rate is %.

kolbaska11 [484]

So the right ans is 3%.

Look at the attached picture⤴

Hope it will help u...

8 0

4 years ago