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lys-0071 [83]
3 years ago
12

What is the slope of this skateboard ramp if it rises 1.2 meters above the ground and runs 4 meters horizontally at the base?

Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0
By definition, the slope is the inclination of a line in relation to the horizontal. It can be expressed in degrees, ratios and even in percent. Therefore, you can calculate it by applying the following formula:
 
 P%=(H/L)x100
 
 P% is the slope expressed in percent.
 H is the height (H=1.2 meters).
 L is the length (L=4 meters).
 
 When you substitute these values into the formula P%=(H/L)x100, you obtain the slope of the skateboard ramp:
 
 P%=(H/L)x100
 P%=(1.2 meter/4 meters)x100
 P%=0.30x100
 P%=30%
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If you add 5 to 1/3 of a number, the result is 1/2 of the number. What is the number?
Molodets [167]

Answer:

Step-by-step explanation:

5 + x/3 = x/2

x/2 - x/3 = 5

3x/6 - 2x/6 = 5

x/6 = 5

x = 30

4 0
3 years ago
The cost of renting a canoe to use on the Humuya River is $31. The cost of renting a canoe to use on the Comayagua River is $5 p
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Answer:

 see the attachment

 7 hours

Step-by-step explanation:

The cost for River Y is a constant (not dependent upon hours), so is c = 41.

The cost for River Z is the sum of the deposit and the hourly cost, so is ...

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These equations and their graphs are shown in the attachment. The graphs cross where n=7, indicating you have to rent a canoe for 7 hours for the cost to be the same on both rivers.

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3 years ago
Y=8x+9 <br> Give slope(m)<br> Parallel slope <br> Perpendicular slope
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5 0
3 years ago
Read 2 more answers
Find the GCF of the first two terms and the GCF of the last two terms of the polynomial. 5h^3+20h^2+4h+16
Bas_tet [7]
The GCF of the first two terms: 5h²
The GCF of the last two terms: 4

5h³ and 20h² 

Both of these terms are divisible by 5. (constant)
Both of these terms also have at least 2 h's. (variable)

4h and 16

Both of these terms are divisible by 4. 
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6 0
3 years ago
Find cos 0 for 0 = 30° <br><br>The 0 has a weird line through it​
Nastasia [14]

Answer:  \frac{\sqrt{3}}{2}

======================================================

Explanation:

The symbol \theta is the greek letter theta. It's often used in trigonometry for angles.

In this case, \theta = 30^{\circ}

So,

\cos(\theta) = \cos(30^{\circ}) = \frac{\sqrt{3}}{2}

You'll need to use a reference sheet or the unit circle to determine the value of cos(30). Or you could use a 30-60-90 triangle template.

When using the unit circle, look in the upper right quadrant (which is quadrant 1). The angle 30 degrees is in this quadrant. Locate the terminal point and note how \frac{\sqrt{3}}{2} is the x coordinate of the terminal point. This is due to x = \cos(\theta)

Side note: \frac{\sqrt{3}}{2} \approx 0.866025

6 0
3 years ago
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