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GuDViN [60]
3 years ago
8

Someone please help me! Studying for finals and don’t understand how to complete problems like this! Thank you!

Mathematics
1 answer:
Drupady [299]3 years ago
6 0

Answer:

(d). \frac{152}{377}

Step-by-step explanation:

sin² β + cos² β = 1

cos (α + β) = cos α cos β - sin α sin β

cos α = √(1 - \frac{400}{841} ) = 21 / 29

cos β = 12 / 13

sin β = √(1 - \frac{144}{169} ) = 5 / 13

sin α = 20 / 29

cos (α + β) = \frac{21}{29} × \frac{12}{13} - \frac{20}{29} × \frac{5}{13} = \frac{152}{377}

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What property is -3(m+8)=-3m-24
Damm [24]

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3(m+8)=−3m−24

(−3)(m)+(−3)(8)=−3m+−24(Distribute)

−3m+−24=−3m+−24

−3m−24=−3m−24

Step 2: Add 3m to both sides.

−3m−24+3m=−3m−24+3m

−24=−24

Step 3: Add 24 to both sides.

−24+24=−24+24

0=0

Answer:

All real numbers are solutions.

8 0
2 years ago
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andre [41]

Answer:

True

Step-by-step explanation:

7 0
3 years ago
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Kisachek [45]

Answer:

y = 2.5x

Step-by-step explanation:

y = mx + b

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coordinate : (2,5) 2 is the x coordinate, 5 is the y coordinate

to Find b, input the coordinate --> 5 = 2.5(2) + b

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This is only since it asked to solve using the point. If you look at the graph, the line intercepts the y-axis at (0,0) so b=0.

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2 years ago
Human heights are one of many biological random variables that can be modeled by the normal distribution. a 2002 study in the us
Rama09 [41]
To answer this item, find first the z-score of the given data.

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Substituting the given values,

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This translates to a percentage of 87.29%. 

Because we are asked of the percentage of those with height greater than this, that would be,
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Answer: 12.71%
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3 years ago
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Romashka [77]

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3 years ago
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