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damaskus [11]
3 years ago
15

Find the length of the hypotenuse.​

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer:

6

Step-by-step explanation:

Using the sine ratio in the right triangle

let x = hypotenuse and sin45° = \frac{\sqrt{2} }{2}, then

sin45° = \frac{opposite}{hypotenuse} = \frac{3\sqrt{2} }{x}

and

\frac{3\sqrt{2} }{x} = \frac{\sqrt{2} }{2} ( cross- multiply )

\sqrt{2} × x = 6\sqrt{2}

Divide both sides by \sqrt{2}

x = 6

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In ΔNOP, m∠N = 110° and m∠O = 38°. Which list has the sides of ΔNOP in order from longest to shortest?
fredd [130]

Answer:

The largest side is OP.

Step-by-step explanation:

ΔNOP, m∠N = 110° and m∠O = 38°

According to he property of the triangle, the sum of all the angles of the triangle is 180°,  

So,

m∠N +  m∠O + m∠P = 180°

110° + 38° + m∠P = 180°

m∠P  =  32°

The side opposite to the largest angle is largest.

Here the largest angle is m∠N  so the largest side is OP.

8 0
2 years ago
In 1999 bus fare in atlanta was 4.70.In 1979 the fare was 2/5 of the fare in 1999 what was the fare in 1979
Gennadij [26K]

Answer : 1.96 was the fare in 1979.

Explanation :

Bus fare in Atlanta in 1999 =4.70

\text{As we have given that in 1979 the fare was } \frac{2}{5} \text{ of the fare in 1999.}

\text{Bus fare in Atlanta in 1979=} \frac{2}{5}\times 4.70

Bus fare in Atlanta in 1979 is given by

\frac{2\times 4.70}{5}\\\\=\frac{9.80}{5}\\\\=1.96

∴ 1.96 was the fare in 1979.




3 0
2 years ago
Read 2 more answers
Please help me somebody!​
Oksanka [162]

Answer:

Blonde: 54 for mountains

Brunette: 100 for total

Red: 70 for total

Black: 41 for beach

Total: 162 for beach, 197 for mountains, 360 for total

Step-by-step explanation:

add and subtract as needed

6 0
3 years ago
Please someone help its a test
tino4ka555 [31]

Answer:

just choose E if you dont get it

Step-by-step explanation:

3 0
2 years ago
the slope of line ab = 3x - 4/ 2x + 16 and the slope of cd = 2/1. f ab is perpendicular to cd l, determine the value of x.
ziro4ka [17]

Answer:

the answer is that

Step-by-step explanation:

because i know

8 0
2 years ago
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