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Gemiola [76]
3 years ago
14

6.Find the missing value. Show your work. Round to the nearest hundredth. a. b. c.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

Here the base angle given is 51°.

The side opposite to 51° is y

The hypotenuse is given as 12.

The trigonometric ratio associating opposite & hypotenuse is sin

We know sin = Opposite/ Hypotenuse

Substituting the values   of angle , opposite & hypotenuse

We have

y/12 = sin 51°

Multiplying both sides by 12 we get

y=12 × sin 51°

y = 9.326

Rounding to the nearest hundredths we get

y = 9.33

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spayn [35]
So remember that percent means parts out of 100 so
52%=52/100=0.52

26%=26/100=0.26
'of' means multily

0.52 times x=65
divide both sides by 00.52
x=125




26% of a number is 39
0.26 times y=39
divide both sides by 0.26
y=150


x=125
y=150
y is greater


you know that becuase we know that 52% is exatly twice of 26% so therefor, if x=y then 52% of x is half of 26% of y so to compare them, we just divide the 65 number by 2 to find 26% of that number to get 65/2=32.5
32.5<39 so x is smaller number
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1/5 x 100/1=20
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