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3 years ago

A right triangle has an angle with a sine of 0.6. What is the cosine of the angle?

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

D 0.8

sin^2(x)+cos^2(x)-1

if x=0.6

then 0.6^2+cos(x)=1

cos^2=1-0.36=0.64

cos(x)=±0.8

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3 years ago

Coefficient of b in expansion of (3+b)^4

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2 years ago

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2 years ago

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balu736 [363]

Answer:

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2 years ago

The weights of a certain dog breed are approximately normally distributed with a mean of μ = 55 pounds, and a standard deviation

weqwewe [10]

Answer:

(a)z=-1

(b)48.5 pounds

Step-by-step explanation:

$z-score=\dfrac{x-\mu}{\sigma}$

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(a)For a dog that weighs 49 pounds.

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$=\dfrac{49-55}{6}\\=\dfrac{-6}{6}\\\\=-1$

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$-1.09=\dfrac{x-55}{6}\\x-55=-6.54\\x=55-6.54\\x=48.46 \approx 48.5$ pounds (to the nearest tenth)$

The weight of a dog with a z-score of -1.09 is 48.5 pounds.

(c)When a dog has a z-score of 1.09

$1.09=\dfrac{x-55}{6}\\x-55=6.54\\x=55+6.54\\x=61.54 \approx 61.5$ pounds (to the nearest tenth)$

The weight of a dog with a z-score of 1.09 is 61.5 pounds.

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2 years ago