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Arada [10]
3 years ago
12

PLEASE HURRY solve for x. 3(x + 5) - 2(x + 2) =20 1.) 1 2.) 9 3.) 13

Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

The answer is X=9

Step-by-step explanation:

Remove the parentheses

Collect the like terms, subtract

Move the constant to the right

Subtract the leftover numbers

X=9

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So is there 2 friend or 3

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What is -32 divided by 9
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The answer is −3.555555555555556 but you can just put -3.55
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a person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a person standing at the other
Lynna [10]

The Height of the ceiling at the center is  57.6628 feet

In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.

It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.

The General form of ellipse is \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

According to the question,

Length of whispering gallery is 130 feet

The foci are located 30feet from the center (0,0)

So, 2a = 130

=> a = 130/2

=> a = 65

and c = 30

As we know ,

=> c² = a² - b²

=> (30)² = (65)² - b²

=> 900 = 4225 - b²

=> b² = 4225 - 900

=> b² = 3325

=> b = 57.7 feet

Therefore , the height of the ceiling at the center is 57.6628 feet

To know more about Ellipse here

brainly.com/question/19507943

#SPJ4

7 0
8 months ago
Randy divides (2x4 – 3x3 – 3x2 + 7x – 3) by (x2 – 2x + 1) as shown below. What error does Randy make? x squared minus 2 x + 1 St
melomori [17]

Answer:

See attached sheet

Step-by-step explanation:

5 0
2 years ago
The surface area of a given cone is 1,885.7143 square inches. What is the slang height?
kap26 [50]

Answer:

If r >> h, the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

A = \pi \cdot r^{2} + 2\pi\cdot s

Where:

r - Base radius of the cone, measured in inches.

s - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

s = \sqrt{r^{2}+h^{2}}

Where h is the altitude of the cone, measured in inches. If r >> h, then:

s \approx r

And:

A = \pi\cdot r^{2} +2\pi\cdot r

Given that A = 1885.7143\,in^{2}, the following second-order polynomial is obtained:

\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2}  = 0

Roots can be found by the Quadratic Formula:

r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}

r_{1,2} \approx -1\,in \pm 24.521\,in

r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0
2 years ago
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