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Alenkasestr [34]
2 years ago
11

Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally o

pposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot..
Mathematics
2 answers:
EleoNora [17]2 years ago
8 0
Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft<span>. </span>
Romashka [77]2 years ago
3 0

The answer is C. 117 feet I did the test so this is correct.

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Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 4.5% interest, compound
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Answer:

$10496.77

Step-by-step explanation:

We have been given that Barbara puts $200 into an account every month that pays 4.5% interest, compounded monthly.

To find the money in the account after 4 years, we will use future value formula.  

FV=R(\frac{1+\frac{r}{n})^{nt}-1}{\frac{r}{n}}), where,

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r = Interest rate in decimal form

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4.5\%=\frac{4.5}{100}=0.045

Substitute given values:

FV=\$200(\frac{1+\frac{0.045}{12})^{12*4}-1}{\frac{0.045}{12}})

FV=\$200(\frac{1+0.00375)^{48}-1}{0.00375})

FV=\$200(\frac{1.00375)^{48}-1}{0.00375})

FV=\$200(1.1968143774194609-1}{0.00375})

FV=\$200(0.1968143774194609}{0.00375})

FV=\$200(52.4838339785229066667)

FV=\$10496.76679570458133334

FV\approx \$10496.77

Therefore, there will be an amount of $10496.77 in the account after 4 years.

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2 years ago
Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. Ho
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Answer:

17

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

 -  <u>2t + 2h = 174</u>

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Therefore, she made 17 three point shots.

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Step-by-step explanation:

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Answer:

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