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Alexandra [31]
3 years ago
13

Edward wants to compare slope of two wake board ramps.The first ramp has the rise of 5 feet and run of 12 feet. The second has t

he rise of 6 feet and the run of 3 feet. Find the slope of each ramp. Which ramp is steeper?
Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0

Answer:

Step-by-step explanation:

The formula for determining the slope of a ramp is expressed as

Slope = rise/run

The first ramp has the rise of 5 feet and run of 12 feet. This means that the slope of the first ramp is

Slope = 5/12 = 0.417

The second has the rise of 6 feet and the run of 3 feet. This means that the slope of the second ramp is

Slope = 6/3 = 2

The lower the run, the steeper the slope. This means that the second ramp is steeper than the first ramp.

This can be confirmed by calculating the angle formed by each ramp. To determine the angle formed by the ramp with the horizontal, we would apply we would apply

the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side.

Considering the first ramp,

Tan θ = 5/12 = 0.417

θ = Tan^-1(0.417)

θ = 22.6°

Considering the second ramp,

Tan θ = 6/3 = 2

θ = Tan^-1(2)

θ = 63.4°

The second ramp forms a greater angle. Thus, it is steeper.

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Answer:

39.2m

Step-by-step explanation:

The ratio would be 14/20 which is 0.7. So, you would take 56 and multipy it by 0.7 to get 39.2.

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2 years ago
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How do u simplify 5x^2-8x-12 subracted from -4x^2+2x-8
Nady [450]

Answer:

- 9x² + 10x + 4

Step-by-step explanation:

Calculate the subtraction as

- 4x² + 2x - 8 - (5x² - 8x - 12 ) ← distribute parenthesis by - 1

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= - 9x² + 10x + 4

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3 years ago
How many real roots and how many complex roots exist for the polynomial
Volgvan

Answer:

D. 4 real roots and 0 complex roots

Step-by-step explanation:

If I assume that the function you are saying is

F(x)=x^4+x^3-5x^2+x-6

There should be up to "4 roots," there can't be more or less than 4 total solutions. First, we need to check how many sign changes are there in this function. There are 3 positive real roots. Now lets check for negative roots.

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3 years ago
How to answer (2n + 2)(6n + 1)​
Murrr4er [49]

Answer:

Step-by-step explanation:

(2n+ 2)(6n+ 1)

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8 0
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Two cylinders are similar. The surface area of one is 49 cm ^ 2 , and the surface area of the other is 121 cm ^ 2 . Find the sca
dalvyx [7]

Answer:

7 : 17.29

Step-by-step explanation:

==>Given:

Two similar cylinders:

Surface area of Cylinder A = 49cm²

Surface area of Cylinder B = 121cm²

==>Required:

Scale factor between both cylinders

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We can easily get the scale factor between both by taking the following steps:

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Dividing the denominator and the numerator by 7, would give us,

7/17.29

= 7:17.29

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3 years ago
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