3 years ago

Explain: Number of solutions: ANSWER BOTH PLEASE

Mathematics

1 answer:

KIM [24]3 years ago

4 0

There’s only one solution bc the variables are different

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The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible length

Mademuasel [1]

Answer:

10.2 inches

Step-by-step explanation:

we know that

In this problem we have two cases

First case

The given lengths are two legs of the right triangle

$a=12\ in, b=15\ in$

Applying the Pythagoras Theorem

Find the length of the hypotenuse

$c^{2}=a^{2} +b^{2}$

substitute

$c^{2}=12^{2} +15^{2}$

$c^{2}=369$

$c=19.2\ in$

Second case

The given lengths are one leg and the hypotenuse

$a=12\ in, c=15\ in$

Applying the Pythagoras Theorem

Find the length of the other leg

$b^{2}=c^{2} - a^{2}$

substitute

$b^{2}=15^{2} - 12^{2}$

$b^{2}=81$

$b=9\ in$

Find the difference between the two possible lengths of the third side of the triangle

$19.2-9=10.2\ in$

3 0

4 years ago

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The sum of the first 21 terms of the progression, - 18, - 15,-12.....is?

katovenus [111]

You can just use the tn formula to solve this tn= t1 + (n-1)d

8 0

3 years ago

Can someone help me please

zavuch27 [327]

Answer:

$\: \\ diameter = 4ft \\ \: raduis \: = \frac{diameter}{2} \\ raduis = \frac{4ft}{2} = 2ft \\ c = 2\pi \: r \\ c = 2\pi2ft \\ c = 4\pi \: ft \\ c = 4 \times 3.14 = 12.56ft$

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3 years ago

Write the percent of free space on the computer as a decimal.

Nataly [62]

Answer:

It would be .75

Step-by-step explanation:

75% as a decimal would be .75

so .75 would be your answer

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3 years ago

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A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents

rjkz [21]

Answer:

Step-by-step explanation:

76/29 $9/77$

4 0

3 years ago