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3 years ago

AABC is a right triangle. If AC = 15 and BC = 17, find AB.

Mathematics

1 answer:

Schach [20]3 years ago

4 0

Answer:

AC=15

BC=17

AB=?

According to Pythagore's Theorem: AB² + AC² = BC².

AB² = BC² - AC²

= (17)² - (15)²

= 289 - 225

AB² = 64

AB = √(64)

= 8.

So AB = 8.

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Dmitrij [34]

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3 years ago

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I NEED HELP PLEASE, THANKS.

saveliy_v [14]

Answer:

B. $33.7 mm; 54mm^2$

Step-by-step explanation:

To find the perimeter, use the formula:

P = a + b + c

P = 12 + 12 + 9.7

P = 33.7

To find area, use the formula:

A = $\frac{1}{2} bh$

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2 years ago

What is the value of the expression |a + b| + |c| when a = –3, b = 7, and c = –15?

nikdorinn [45]

We know:
$|a|= \left\{\begin{array}{ccc}a&if\ a \ \textgreater \ 0\\0&if\ a=0\\-a&if\ a \ \textless \ 0\end{array}\right\\\\|2|=2\\|0|=0\\|-3|=3$

$|a+b|+|c|$
substitute a = -3; b = 7; c = -15
$|-3+7|+|-15|=|4|+15=4+15=19$

3 0

2 years ago

Mrs. Lin is sewing costumes for her grandchildren. She is making three lion costumes, one zebra costume, and two bear costumes.

stepladder [879]

Answer:

$12\frac{1}{8}\ yd$

Step-by-step explanation:

we know that

The total fabric that Mrs. Lin needs is equal to

$3(1\frac{2}{3})+2\frac{5}{8}+2(2\frac{1}{4})$

Convert mixed number to an improper fraction

$1\frac{2}{3}=1+\frac{2}{3}=\frac{5}{3}$

$2\frac{5}{8}=2+\frac{5}{8}=\frac{21}{8}$

$2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}$

substitute

$3(\frac{5}{3})+\frac{21}{8}+2(\frac{9}{4})$

$5+\frac{21}{8}+\frac{9}{2}$

$\frac{40+21+36}{8}=\frac{97}{8}\ yd$

Convert to mixed number

$\frac{97}{8}\ yd= \frac{96}{8}+\frac{1}{8}=12\frac{1}{8}\ yd$

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3 years ago

Are all vertical lines parallel?

BartSMP [9]

Answer: Yes

Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.

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3 years ago