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Wittaler [7]
3 years ago
8

Hello, I'm working on a project and I've been stumped.

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

a circle has 360 degrees

 the ferris wheel has 32 cars so the circle is broken up into 32 sections

 the central angle would be the angle between 2 of the cars

 so divide 360 by 32

360/32 = 11.25 degrees



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Factor the greatest common factor out of 8x^3 + 28x^2 + 40x
Liula [17]

Answer: 4x(2x^2+7x+10)

Step-by-step explanation:

The Greatest Common Factor (GCF) of a polynomial is defined  as the largest monomial that is a factor of all the terms of the polynomial.

In this case, given this polynomial:

8x^3 + 28x^2 + 40x

You can factor out the Greatest Common Factor applying this procedure:

1. Write the terms of the polynomial in prime factor form:

8x^3=2*2*2*x*x*x\\\\28x^2=2*2*7*x*x\\\\40x=2*2*2*5*x

2. Identify the factors the terms have in common (this will be the Greatest Common Factor). In this case this is:

GCF=2*2*x=4x

3. Finally,  rewrite the expression in factor form:

4x(2x^2+7x+10)

5 0
3 years ago
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A canoe rental shop is being built near a river. An equation of the line representing the river is y=14x+8. Each unit in the coo
julsineya [31]

Answer:

412.3 feet

Step-by-step explanation:

A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).

Solution:

The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.

Given a point (x_1,y_1) and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:

d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }

Given the equation of the line y = 1/4 x + 8

y - 1/4 x - 8 = 0

Therefore A = -1/4, B = 1 and C = -8

The point is (-3,3), therefore x_1=-3,y_1=3

d=\frac{|-1/4(-3)+(1*3)+(-8)|}{\sqrt{(-1/4)^2+1^2} }\\\\d=4.123\ unit\\\\but\ 1\ unit=100\ feet\\\\ d=4.123\ unit*1\ feet=412.3\ feet

8 0
3 years ago
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Type the correct answer in each box. Use numerals instead of words.
sweet [91]
Answer: -(x + 3)^2 = 3

Explanation:

-x^2 - 6x + 6 = 0
-x^2 - 6x = -6
-x^2 - 6x + 9 = -6 + 9
-(x + 3)^2 = 3
6 0
4 years ago
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The vertex of this parabola is at (-5, 4). which of the following could be it’s equation?
Olenka [21]

Answer:

y = -(x + 5)^2 + 4

Step-by-step explanation:

I'm 8 years old and I know how to do this.

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Find the area of the figure below
Sphinxa [80]

Answer:

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Step-by-step explanation:

11 x 4 = 44

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3 years ago
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