Answer:
The area of the deck after she doubles the length and width will be of 384 square feet.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle of length l and width w is given by:
Doubling length and width:
If we double the length and the width, the dimensions are 2l and 2w. Thus, the area will be of:
That is, if both dimensions are doubled, the area is multiplied by 4.
What will the area of the deck be after she doubles the length and width?
Was 96. Then, both dimensions were doubled, and the area has to be multiplied by 4.
96*4 = 384
The area of the deck after she doubles the length and width will be of 384 square feet.
Answer:
f'(x)= 2x - 14
Step-by-step explanation:
change f(x) to y y = 1/2x + 7
switch x and y x = 1/2y + 7
multiply everything by 2 to cancel the denominator 2x = y + 14
solve for y 2x - 14 = y
then change y to f'(x) f'(x) = 2x - 14
The first one is the correct answer
Angle 6 and Angle 7 are each 90° since they’re on a straight line and are both equal.
180-90= 90
*you subtract from 180 because that’s how many degrees are in a straight line*
Angle 7 and Angle 1 are alternate exterior angles so that makes them congruent by definition.
Answer:
C
Step-by-step explanation:
Remember the mnemonic: SohCahToa, where:
Let's determine our side lengths first.
Note that our angle is A. So, we have to determine the sides with respect to A.
The opposite side to A is 16.
The adjacent side is 12.
And the hypotenuse is 20.
With this, we can find our trig ratios:
Sine:
Substitute 16 for the opposite and 20 for the hypotenuse. This yields:
Reduce:
Cosine:
Substitute 12 for the adjacent and 20 for the hypotenuse. This yields:
Reduce:
Tangent:
Substitute 16 for the opposite and 12 for the adjacent. This yields:
Reduce:
So, our answers are:
Out of the answer choices, the choice that represents this is C.
So, our correct answer is C.
And we're done!
