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kati45 [8]
3 years ago
13

Mackenzie investigated the relationship between the number of hours studying and the test score for some of the students in her

class. She constructed the scatterplot below.
Mathematics
2 answers:
son4ous [18]3 years ago
6 0

Answer:There is a relationship between study hours and test score. As the hours of studying increase, the test scores increase.

Step-by-step explanation:

From the given scatterplot in which Mackenzie investigated the relationship between the number of hours studying and the test score for some of the students in her class.

We can see that the dots are increasing in the right and go upward with respect to time.

It shows there is a relationship between the test score and hours of studying.

As the hours of studying increase, the test scores increase .

SVETLANKA909090 [29]3 years ago
5 0

Answer:

its letter C.

Step-by-step explanation:

The letter choices "A", "B", "D" do not make sense and they're incorrect!

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let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)
statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

\sin (\theta)=\frac{3}{5}

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

x^2+3^2=5^2

Solving for x, we have

\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

\tan (y)=\frac{12}{5}

Describes the following triangle

Using the Pythagorean Theorem again, we have

5^2+12^2=h^2

Solving for h, we have

\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}

To calculate the sine and cosine of the sum

\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}

We can use the following identities

\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}

Using those identities in our problem, we're going to have

\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}

4 0
11 months ago
What is cos 16........
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The cos of 16 degrees is 0.96
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Answer:

Step-by-step explanation:

11=4(8)+b

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i think

4 0
2 years ago
I need help tried to solve it, but can't....
fiasKO [112]

Answer:

B

Step-by-step explanation:

I would say B because if only 30 people said water and there is 65 that said something then it would almost be half of what you started with

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A,B,D

Step-by-step explanation:

JUST TOOK THE QUIZ

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