The answer would be, y=-x+2
Answer:
84 cookies
Step-by-step explanation:
First, find the amount she bakes per minute. It is given that Marissa bakes 30 cookies every 15 minutes, or:
30 cookies/15 minutes = 2 cookies/minute.
Marissa bakes 2 cookies per minute. Multiply 2 with 42 minutes to find the total cookies baked in 42 minutes:
42 x 2 = 84
84 cookies is your answer.
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Answer:
length = 20m
width = 16m
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
Firstly, I would assume that you made a unit error for the perimeter, which I would believe is meters.
With that, we can now make these statements:
Perimeter = 72m
Perimeter = 2l + 2w
therefore,
2l + 2w = 72
Since the question states the width is 4 meters less than the length, we can make this statement,
w = l - 4
We can now substitute this into the first statement we made, 2l + 2w = 72
2l + 2(l - 4) = 72
2l + 2l - 8 = 72
4l - 8 = 72
4l = 80
l = 20m
Using the second statement, w = l - 4, we can now find w,
w = 20 - 4
w = 16m
Therefore, the length is 20m and the width is 16m
Answer:
1) 51
2) 0.8
3) cosecant
Step-by-step explanation:
Question 1
The image for this scenario is attached below. Note that base of the television tower forms the side adjacent to the angle and the length of the tower forms the side opposite to the angle. The two angles marked in image are equal because of the property of Alternate Interior Angles.
So,
Adjacent side = 120 feet
Opposite side = 150 feet
Tangent of an angle is defined as:

Using the values, we get:

Rounded to the nearest degree, the angle of depression would be 51 degrees.
Question 2)
We have to find the cosine of angle Z. cos is defined as:

The side adjacent to angle Z is 24 and the hypotenuse is 30. So cos(Z) would be:

Therefore, value of cos(Z) for given triangle would be 0.8
Question 3
The opposite of sine ratio is known as cosecant which is abbreviated as csc
Since it is the opposite of sine ratio, it would be calculated as:

sine of angle is the ratio of opposite and hypotenuse, so csc would be ratio of hypotenuse to opposite side i.e.
