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Alenkasestr [34]
3 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]3 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]3 years ago
3 0

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

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2.828

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5. Use the Pythagorean theorem to estimate the length of the unknown side of the right triangle. Explain why
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Step-by-step explanation:

a^2 + b^2 = c^2

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a ^2 = 64-32

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3 0
3 years ago
What is the length of DE?
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Answer:

Step-by-step explanation:

Yes

Theorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.

∠A and ∠B are complementary, and ∠C and ∠B are complementary.

Given: ∠A and ∠B are complementary, and ∠C and ∠B are complementary.

Prove: ∠A ~= ∠C.

 Statements Reasons

1. ∠A and ∠B are complementary, and ∠C and ∠B are complementary. Given

2. m∠A + m∠B = 90º , m∠C + m∠B = 90º Definition of complementary

3. m∠A = 90 º - m∠B, m∠C = 90º - m∠B Subtraction property of equality

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6 0
3 years ago
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hope this helps :)

5 0
3 years ago
How much interest will she earn in 3 years?
alekssr [168]
For this, the equation is 
90× 1.13³=y
X was replaced with y. Since she is gaining, you have to remember she is going to have 100 percent of what he had before, she will not lose any.
90× 1.13= 129.86
Now, we need to find the amount of interest she gained, so we have to subtract 90 from the total.
129.86-90=39.86
We can also find the answer by completing a small chart.
The first column will be the year. The second will be the amount. The third will be the interest for the year.
1                                                90                                                11.7
2                                                101.7                                           13.22
3                                                 114.92                                        14.94
The total would round to 39.86, so her interest for the 3 year would be 39.86, with her having 129.86 altogether.




7 0
3 years ago
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