Step-by-step explanation:
120 ÷ 1.6 = 75.
so 75 miles per hour.
75 × 2 = 150
therefore 150 miles in 2 hours
Hi Student!
This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression. So let's plug in the values and solve.
<u>Plug in the values</u>
<u>Factor out the exponent</u>
<u>Combine</u>
Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.
<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).
</span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).
</span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.
</span>
<span>I hope this helps! </span>
The dimension of the parallelogram ABCD will be 14 inches, 48 inches, 14 inches and 48 inches.
<h3>What is a parallelogram?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
The perimeter of a parallelogram is 76 inches.0
And one side measure is 14 inches.
Then the rest of the sides will be
We know that opposite sides are prallel and equal.
Let ABCD is a parallelogram.
AB = CD = 14 inches
BC = AD = x
Then the value of x will be
We know
P = 2(AB + BC)
76 = 2(14 + x)
x = 48
More about the parallelogram link is given below.
brainly.com/question/1563728
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