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bixtya [17]
3 years ago
7

Colton wrote a ratio comparing the number of sports video games that he owns to the number of driving video games that he owns a

s 4:3. Which ratio is equivalent to Colton’s ratio?
A. 3/7
B. 4/7
C. 3 to 4
D. 4 to 3
Mathematics
1 answer:
nordsb [41]3 years ago
6 0

D. If you were to say the given ratio aloud, it would go something like this: 4 to 3, 4,3 or 4 sports video games to 3 driving ones. So, the answer is 4 to 3, or answer D.

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Assume that the terminal side of thetaθ passes through the point (negative 12 comma 5 )(−12,5) and find the values of trigonomet
zmey [24]

Answer:

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

Step-by-step explanation:

Assume that the terminal side of thetaθ passes through the point (−12,5).

In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.

Using Pythagoras theorem:

hypotenuse^2=perpendicular^2+base^2

hypotenuse^2=(5)^2+(12)^2

hypotenuse^2=25+144

hypotenuse^2=169

Taking square root on both sides.

hypotenuse=13

In a right angled triangle

\sin \theta = \dfrac{opposite}{hypotenuse}

\sin \theta = \dfrac{5}{13}

\sec \theta = \dfrac{hypotenuse}{adjacent}

\sec \theta = \dfrac{13}{12}

In second quadrant only sine and cosecant are positive.

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

6 0
3 years ago
Mrs. Trout estimated her math class next year would include 28 students. The actual size of the class turned out to be 32 studen
Alja [10]
The answer she has is not correct.
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The correct answer should be 0.125 * 100 = 12.5%
7 0
2 years ago
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I need help with 10 math questions I will say it in chat​
Harrizon [31]

if I'm just good at math I might be able to help you

4 0
2 years ago
For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard
stich3 [128]

Answer:

4.53

Step-by-step explanation:

Given the data :

4, 5, 10, 11, 15

The mean = 9

The standard deviation of a sample :

s = √[Σ(x - mean)²/(n-1)]

s = √[((4-9)² + (5-9)²+(10-9)² + (11-9)² + (15-9)²) / (5-1)]

s = √(25+16+1+4+36)/4

s = √20.5

s = 4.527

s = 4.53

5 0
2 years ago
Assume a program has the following variable defenition: int a, b =2; float c = 4.2; and the following statement: a = b * c; What
Vladimir [108]

Answer:

The correct option is B.

Step-by-step explanation:

In a program the variables are defined as

int a, b =2;

float c = 4.2;

The given statement is

a = b * c

a = 2 * 4.2

a = 8.4

It is given that variable a is an integer. So, only integer value can be stored in a.

a ≈ 8

It means 8 will be stored in a. Therefore the correct option is B.

5 0
3 years ago
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