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2 years ago

Consider the right angle shown below

Mathematics

1 answer:

atroni [7]2 years ago

8 0

Answer:

Part A:

given that cos β = 3/5

that means the base line is 3 and the hypotenuse is 5

Note that, The base line 3 is adjacent to β and opposite to α.

Sin α = opposite / adjacent

sin α = 3 /5

Part B:

α and β are complementary angles

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What is the least common denominator of the fraction 2 over x plus the fraction x over x plus 1 plus the fraction x plus 1 over

Anna71 [15]

3x is the least common denominators because you need to be able to make sure all other denominators can go multiple into it. Since the rest are just x, the largest number of 3x would be the denominator you want.

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3 years ago

This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was tha

Pie

Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = 83.9≅ 84 percentage

Step-by-step explanation:

Step(i):-

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

Let X = 6.8

$Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3$

Let X = 8.8

$Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1$

The probability that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = P(-3≤Z≤1)

= P(Z≤1)- P(Z≤-3)

= 0.5 + A(1) - ( 0.5 -A(-3))

= A(1) + A(3) (∵A(-3)=A(3)

= 0.3413 +0.4986 (∵ From Normal table)

= 0.8399

Conclusion:-

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = 83.9≅ 84 percentage

4 0

2 years ago

Which changes in surface water movement are likely to occur when

Digiron [165]

Answer:

my best answer is D

Step-by-step explanation: plant keep the soil in place to decrease runoff and infiltration

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2 years ago

You buy 4.5 pounds of bananas at $0.49 a pound. You hand the cashier a $20 bill. How much change will you get back

VARVARA [1.3K]

Answer:

You get 17.80 cents back

Step-by-step explanation:

4.5 times 0.49 is 2.20 cents

20 minus 2.20 is 17.80 dollars

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2 years ago

To get to his parents’ house, Ruben would have to drive due north 12 miles. To get to his grandparents’ house, he would have to

Nata [24]

Answer:

d = 15 miles

Step-by-step explanation:

To get to his parents’ house, Ruben would have to drive due north 12 miles.

To get to his grandparents’ house, he would have to drive due east 9 miles.

It is required to find the distance between the parents’ and grandparents’ houses.

First distance is 12 miles and second distance is 9 miles.

So,

$d=\sqrt{12^2+9^2} \\\\d=15\ \text{miles}$

So, the distance between the parents’ and grandparents’ houses is 15 miles.

6 0

3 years ago