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Rama09 [41]
3 years ago
13

for an 8 foot ramp need to be elevated at an angle measure 10 degree to level with a step approximately how far does the ramp ne

ed to be away to hit the edge of the step Search instead for an 8 foot ramp need to be elevated at an angle measure 10 dregree to level with a step approximately how far does the ramp need to be away to hit the edge of the step
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:

7.878 ft far

Step-by-step explanation:

Given:

- A ramp is to be lifted to an angle Q = 10 degrees

- The total length of the ramp L = 8 ft

Find:

- how far does the ramp need to be away to hit the edge of the step

Solution:

- The question asks in "other words" the horizontal distance (d) from the ramp pivot on the floor to the edge of the step when it is lifted 10 degrees.

- We will use trigonometry to solve a right angle triangle: The horizontal distance is a projection of Length L on to the flat ground surface. Hence, we have:

                                        cos(Q) = d / L

                                         d = L*cos(Q)

- Plug in values:

                                         d = 8*cos(10)

Answer:                            d = 7.878 ft

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Lana71 [14]

An arithmetic sequence is a sequence with a constant

<span> increase or decrease also known as the </span>constant difference

In the sequence 10, 40, 70, 100, ….

The constant difference between the terms is 30

A recursive formula for a sequence would be:

a1= first term in the sequence

an = term you are trying to find

an-1 = previous term in the sequence

d = constant difference

Explicit Formulas: 

A formula that allows you to find the nth term of the sequence by substituting known values in the expression.

Formula : an = a1 + d( n - 1)

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an = current term in the sequence

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n = term number

Solution: 

<span>Write the explicit formula of the sequence 4, 7, 10, 13, 16 ….</span>

Formula for explicit term:

an = ___ + ___( n - 1)

Simplify: an = ___ + ___n

In the sequence 4, 7, 10, 13, ….

To find the 11th<span> term explicitly, I plug in the into the formula I just made:  </span>

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Find the 15th term of the sequence using the formula: an = 1 + 3n

Write the recursive formula of the sequence 4, 7, 10, 13, ….

Recursive formula:

a1 =

an = a  n  - 1

In the sequence 4, 7, 10, 13, 16 ….

To find the 5th<span> term recursively, I plug it into the formula I just made:  </span>

<span>  a</span>n = an-1 + 3

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a5<span> = 13 + 3  </span>

a5<span> = 16   </span>

Recursive and Explicit Formulas for Arithmetic (Linear) Sequences


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