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Lina20 [59]
3 years ago
5

Linnea is renting a bike. It costs $4.50 per hour plus a $5 deposit​

Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:4.50h+5

Step-by-step explanation:

It $4.50 times how many hours you rent plus the $5 deposit

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Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le
Helen [10]

Answer: \overline{AC}= 12.5

Step-by-step explanation: The triangle ABC and its altitude \overline{BD} is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of \overline{BD}, now we have two similar triangles, which means that ratios of corresponding sides are equal:

\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}

\overline{BD}^{2}=\overline{BC}.\overline{AD} (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}

\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2} (2)

Substituting (2) into (1):

\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}

We want to find f, so:

\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}

f=\frac{10^{2}-5^{2}}{10}

f = 7.5

The length of \overline{AC} is

\overline{AC}=f+5

\overline{AC}=7.5+5

\overline{AC}=12.5

The length of the hypotenuse of triangle ABC is 12.5 units.

5 0
3 years ago
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Can someone PLEASE help me out w this?!?!?????
sasho [114]

Hi!

Here's your answer:

x=3 and y=0

I hope this helps!

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5 0
2 years ago
A student takes 1/6 hour to paint a picture frame. How many picture frames can the student paint in 4 hours
Sergeeva-Olga [200]

Answer:

24 picture frames

Step-by-step explanation:

Since a student takes 1/6 hour to paint a picture frame, so in an hour, the student will paint a total of 6 picture frames. So to find the number of picture frames in 4 hours, you just need to multiply 4*6 to get 24 picture frames.

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4 years ago
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There are four cups of cocoa three friends share them evenly how much does each friend get
tino4ka555 [31]

There are three friends and 4 cups. Each friend can have a whole cup each and need to split the last cup 3 ways (1/3)

Each friend would get 1 cup and 1/3 of a cup

(I hope I’m right~)

4 0
3 years ago
What is the total surface area??
uysha [10]

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

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