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nirvana33 [79]
3 years ago
5

Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe

et tall. How long will the ramp be..Please step by step explanation..Thanks

Mathematics
1 answer:
Fynjy0 [20]3 years ago
6 0

Answer: The ramp would be 15.5 feet long.

Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

SinC = opposite/hypotenuse

Sin 15 = 4/b

By cross multiplication we now have

b = 4/Sin15

b = 4/0.2588

b = 15.4599

Approximately b = 15.5

Therefore the length of the ramp would be 15.5 feet

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Answer:

Step-by-step explanation:

7259.75 - 7100 = 159.75

he earned 159.75 in interest

159.75/ 7100= .0225

and if you convert that to percentages then its 2.25%

8 0
3 years ago
WILL GIVE BRAINLIEST
sdas [7]

3. f(-6) = 12+1 =13


 f(-2) = 4+1 = 5


f(0) =1


Range {1,5,13}


4.  f(-2) = (-2)^3+1 =-7


  f(-1) = (-1)^2 +1 =0


f(3) = (3)^3 +1 = 28


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5.the sequence is arithmetic


d= -11+19 = 8


an = a1 + d(n-1)


an = -19 +8(n-1)


6.l =w+5


a =l*w


a(w) =(w+5) * w


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5 0
3 years ago
The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height.
Bumek [7]
<h2>Answer:</h2>

<em><u>The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.</u></em>

<h2>Step-by-step explanation:</h2>

In the question,

The maximum height of the vehicle which is capable of passing under the bridge is 12 feet and 5 inches.

So,

Now we know that,

1 feet = 12 inches

So,

12 feet = 12 x 12 = 144 inches

So,

Total height of the vehicle which is permissible to pass under the bridge is,

12 feet 5 inches = 144 + 5 = 149 inches

Also,

Height of the truck = 162 inches

Therefore, we can see that the permissible height is smaller than the height of the vehicle.

Height of vehicle which is more than permissible height is by,

162 - 149 = 13 inches

<em><u>Therefore, the truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.</u></em>

7 0
3 years ago
In ∆ KLM above, NO // ML and &lt; KNO = &lt; KON. Find m &lt; MNL =
4vir4ik [10]

Answer: In ∆ KLM above, NO // ML and < KNO = < KON. Find m < MNL =

Step-by-step explanation: dUNNO

6 0
2 years ago
Pls help me it's due today​
Dimas [21]

Answer:

r³ + 15r² - 10r - 4

Step-by-step explanation:

First, note you can remove the brackets, in this case they contribute nothing at all.

Then, group the like terms and add them, e.g., we have 3r³ and -2r², they add up to r³.

Finally, order them from greatest power of r to smallest power of r.

That's all!

8 0
3 years ago
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