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3 years ago

Given that cos theta = -12/13 and theta is in the second quadrant, find this function. sin theta=

1 answer:

3 0

5/13

The x value is negative (second quadrant). 13 is the hypotenuse. So the missing side is 13^2 = (-12)^2 + y^2.

Sin theta is the opposite (5) over hypotenuse (13).

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Drag each figure to show if it is similar to the figure shown or why it is not similar

Margarita [4]

Answer:

Step-by-step explanation:

The given figure is a rectangle having length = 9 yd and width = 3 yd

Now we will check each figure

Figure one- rectangle with length = 18 yd and width = 9 yd

For similarity of both rectangles ratio of length should be equal to ratio of widths.

$\frac{3}{9}\neq\frac{9}{18}$

So rectangles are not similar.

Figure 2- rectangle with length = 3 yd and width = 6 yd

$\frac{9}{3}\neq \frac{3}{6}$

So figures are not similar.

Figure 3 - rectangle with length = 3 yd and width = 1 yd

$\frac{9}{3}=\frac{3}{1}$

Therefore, figures are similar.

Figure 4 -rectangle with length = 8 yd and width = 2 yd

$\frac{3}{2}\neq \frac{9}{8}$

So given rectangles are not similar.

Figure 5 - rectangle with length = 18 yd and width = 6 yd

$\frac{9}{18}=\frac{3}{6}$

So rectangles are similar.

Figure 6 - trapezoid with larger base = 18 yd and height = 6 yd

Since shapes of the given figures are not same so they are not similar.

8 0

3 years ago

Classify each of the following random variables as either discrete or continuous: a. The fuel efficiency (mpg) of an automobile

MrRissso [65]

Answer:

a. The fuel efficiency (mpg) of an automobile is a continuous variable

b. The amount of rainfall at a particular location during the next year is a continuous variable

c. The distance that a person throws a baseball is a continuous variable

d. The number of questions asked during a 1-hr lecture is a discrete variable

e. The tension (in pounds per square inch) at which a tennis racket is strung is a continuous variable

f. The amount of water used by a household during a given month is a continuous variable

g. The number of traffic citations issued by the high- way patrol in a particular county on a given day is a discrete variable

Step-by-step explanation:

Continuous variables assign values in a range of infinitely many values, while discrete variables are countable.

Continuous variables in the above can assume real numbers and there are infinitely many real numbers between any two real numbers.

Discrete variables above can be counted in the given time interval.

6 0

3 years ago

Write your answer in the form y=mx+b

zaharov [31]

Answer:

y = 9x-8

Step-by-step explanation:

Find y values for x= -3 and x = 3. These will come out to -35 and 19 respectively.

Plug these numbers into the rise/run equation for slope m (y2-y1)/ (x2-x1). Plugging values in and simplifying you will get 54/6, which reduces to 9. This is your m value.

Apply your m value to x = 3 going backwards (x = 2 gives a y value of 10, 1 gives 1, and 0 gives -8). This will give you a y intercept of -8. This is your b value.

Plug the slope and y intercept into the mx + b equation. This will give you y = 9x-8.

There you go!

3 0

3 years ago

Nigel borrows $250 and pays 5.5% simple interest each year.If he pays back the money in on year what is the total amount that he

noname [10]

He pays about 45$ per year

5 0

3 years ago

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!

77julia77 [94]

Answer:

$125

Step-by-step explanation:

To solve this, we need to find 2.5% of 5,000. To do this, we multiply 5,000 by .025. This gets us 125. That means you earn $125 worth of interest in one year.

7 0

3 years ago

Read 2 more answers

Given that cos theta = -12/13 and theta is in the second quadrant, find this function. sin theta=​

Given that cos theta = -12/13 and theta is in the second quadrant, find this function. sin theta=