Answer:
<em>B. 25,636 feet</em>
Step-by-step explanation:
sin(55) = h/x
h = 21,000
sin(55) = 21,000/x
x = 21,000/sin(55)
x = 25636.27 ≈ 25,636 feet
Hope this helped! :)
Answer:
y = 5 and slope = -1/3
Step-by-step explanation:
See pictures for full explanation.
Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Answer:
5-3x
Step-by-step explanation:
To expand this, we start with the distribution of -3 into the parentheses containing x+2
This leaves us with
11-3x-6
From here, simplifying involves combining like terms. The only like terms we have are the constant values 11 and -6
We combine them by subtracting 11-6 to get 5.
This leaves us with our answer,
11-6-3x
<u>5-3x</u>
An alternate way of writing this would be
<u>-3x+5</u>
But this would only be required if we were asked to express the answer in decreasing degree, so don't worry about that for now
