9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Divide by 2, subtract 8 ...
2(4/x +8) = 18
4/x +8 = 9
4/x = 1
4 = x . . . . . multiply by x
Draw a diagram to illustrate the problem as shown in the figure below.
Let h the height of the hill. =
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x h = x tan40 = 0.8391x
(1)
At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is
40 + 18 = 58°.
By definition, tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)
Equate (1) and (2).
1.6003x - 720.135 = 0.8391x 0.7612x = 720.135
x = 946.0523
From (1), obtain
h = 0.8391*946.0523 = 793.8 ft
Answer: The height of the hill is approximately 794 ft (nearest integer)
Answer:
350 girls
Step-by-step explanation:
So,
The secret to solving problems with ratios is to find the value of one unit.
5:7 = 12 units total
To find one unit, divide the total number of students by the total number of units.
600/12 = a
Simplify
50/1 = a
50 = a
The value of each unit is 50.
Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys
50(7) = x
350 = x
There are 350 girls.
Answer: The graph is shifted 2 units to the right.
Step-by-step explanation:
Given a function f(x), we know that one transformation rule is:
If
then the function is shifted "k" units to the right.
Therefore, for the function
, when we subtract 2 from the input, then we get the function g(x) in the form:

We can conclude that subtracting 2 from the input of the function
, then the graph is shifted 2 units to the right.
You can cross multiply and the answer would be 100/9
9/10=10/k
100=9k
k=100/9