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frozen [14]
3 years ago
13

A hiking trail rises 9 feet for every horizontal change of 150 feet. What is the slope of the hiking trail?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0
For this you can use Pythagoras' Theorem. The slope is the longest side, c"2.

9squared + 150squared = 306

Square root 306 = 17.49 feet

Hope this helps! :)

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Suppose that a new company that makes yo yos made 560 yoyos the first week the company overestimated its requirements. The manag
KATRIN_1 [288]

Answer:

312 yoyos in 8th week; 3407 yoyos over 8 weeks

Step-by-step explanation:

The <em>formula for the nth term</em> of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 560 and r = 0.92.

Thus, the formula for your sequence is

aₙ = 560(0.92)ⁿ⁻¹

Eighth term

a₈ = 560(0.92)⁷ = 560 × 0.5578 = 312

The company will manufacture 312 yoyos in the eighth week.

Sum over eight weeks

The formula for <em>the sum of the first n terms</em> of a geometric series is

Sum = a₁[(1 - rⁿ)(1 - r)]

Sum = 560[(1 - 0.92⁸)/(1 - 092)]

       = 560[(1 - 0.513 22)/0.08 ]

       = 560 × (0.486 78/0.08)

       =  560 × 6.0848

       = 3407

The company will manufacture a total of 3407 yoyos over eight weeks.

4 0
3 years ago
Find the area of this triangle.
Katyanochek1 [597]

Answer:

120 ft²

Step-by-step explanation:

The formula to find the area of a triangle is :

Area = \frac{1}{2} × base × height

Given that,

base ⇒ 30 ft

height ⇒ 8 ft

<u>Let us solve it now.</u>

Area =  \frac{1}{2} × base × height

Area =  \frac{1}{2} × 30 ft × 8 ft

Area =  \frac{1}{2} × 240 ft²

Area =<u>  120 ft²</u>

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What's up? A, C, E is all the answers best of luck with your studies
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social security number contains nine digits 0 0 0 0 0 0 0 0 0 how many different Social Security numbers can be formed using in
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9 digits x 9 numbers = 81
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4 years ago
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Answer the question below
kodGreya [7K]

Answer:

C or D

Step-by-step explanation:

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