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sergiy2304 [10]
3 years ago
10

Given: The streets form a rectangle with a diagonal. Casey is traveling from the grocery store to the bank. There are two possib

le routes she can take, marked yellow and green in the diagram. Which statement is true? A) The yellow path is 1 mile longer than the green path. B) The yellow path and green path are the same distance. C) The green path is 2 miles shorter than the yellow path. D)
Mathematics
2 answers:
Naya [18.7K]3 years ago
6 0

Answer:

The answer is "C"

Step-by-step explanation:

We can use the Pythagorean Theorem to solve for the distance of the green path. The path is 5 miles long. Therefore, the green path is 2 miles shorter than the yellow path.

Hope this helped you guys. Let's get this up to 5 stars and can someone make this the brainliest answer?

suter [353]3 years ago
4 0

Answer:

C. The green path is 2 miles shorter than the yellow path.

Step-by-step explanation:

By using the Pythagorean Theorem in this situation, you will be able to find the distance of the green path. The path's length is 5 miles long, meaning the green path is 2 miles shorter than the yellow path!

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4. A rock is thrown with a height equation of h = -16t2 + 64t + 5 (where h is the height of the rock in feet at any given time o
boyakko [2]

Answer:

Yes,  see below.

Step-by-step explanation:

Convert the equation to vertex form to find the maximum height:

h = -16t2 + 64t + 5

= -16(t^2 - 4t) + 5

= -16 [(t - 2)^2 - 4] + 5

= -16( t - 2)^2  + 64 + 6

= -16(t - 2)^2 + 69.

So the maximum height the rock reaches is 69 feet.

This height is reached at 2 time seconds.

6 0
3 years ago
Answer Part A and Part B for the triangle shown
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Answer:

for Part A

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Step-by-step explanation:

\tan(a)  =  \frac{opposite}{adjacent }  \\

Here the angle, a is 60°, Opposite is 20 and adjacent is x.

Therefore we have,

\tan(60 )  =  \frac{20}{x}

Making x the subject gives us

x =  \frac{20}{ \tan(60) }

Part B

Value of x to the nearest tenth

x = 11.547 \\ to \: the \: nearest \: tenth \\ x = 12

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