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2 years ago

What is the rate of change (2,20) and (5,47) ?

Mathematics

1 answer:

ipn [44]2 years ago

3 0

Answer:

3,27

Step-by-step explanation:

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A class of 40 students visits a farm . they tour the farm in groups of 5 . how many groups of 5 can they make?

Leya [2.2K]

Eight groups of five

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2 years ago

At a state park, an average of 126 bicycles per day are rented in October. This number is 10% less than the average number of bi

polet [3.4K]

Answer: 139

Step-by-step explanation:

100% + 10% = 110%

110/100 x 126 = 138.6 ≈ 139

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2 years ago

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alexandr1967 [171]

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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

If there was an online shopping site was selling about 420 items per second. At this rate, how many items would it sell in 30 mi

Evgen [1.6K]

Answer:

756000

Step-by-step explanation:

You will multiply 30x60(There are 60 seconds in a min)=1800

Then Multiple 420x1800=756000

6 0

2 years ago