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3 years ago

13

If it takes Matthew an hour to get to his friend’s house, and two hours if he drives 25 mph slower, how far away does Matthew’s

friend live?

2 answers:

pishuonlain [190]3 years ago

6 0

Answer:

he lives 50 miles away

Step-by-step explanation:

if he was driving 50 mph the first time he would take an hour.

the second time he goes half the speed so it takes double the time. 50/2=25

vodka [1.7K]3 years ago

3 0

50 miles hope this helped :)

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If you have 470 apples and the price is 67 apples how much is each apple

EleoNora [17]

Answer:

Each apples cost about $0.14

Step-by-step explanation:

cost / amount = price per piece

67 / 470 = 0.14

So every apple costs about $0.14

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3 years ago

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

2 years ago

Read 2 more answers

Naomi made a triangular pyramid from cardboard. The triangular base has a height of 4 inches and a base length of 15 inches. The

Thepotemich [5.8K]

Answer:

She can double the base length of the base so that the new volume is 120 cubic inches

Step-by-step explanation:

3 0

3 years ago

Simply.<br><br> -2/5 + 4/3<br><br> Show work.

mixer [17]

Answer:

14/15

Step-by-step explanation:

Find common denominators. Note that what you do to the denominator, you do to the numerator.

Use 15 as the common denominator:

(-2/5)(3/3) = (-6/15)

(4/3)(5/5) = (20/15)

Combine like terms:

-6/15 + 20/15 = (20 - 6)/15 = 14/15

14/15 is your answer.

~

8 0

2 years ago

Read 2 more answers

Can someone please help me, I will mark the correct answer brainlest!

34kurt

Answer:

i think c

Step-by-step explanation:

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3 years ago