Answer:
Step-by-step explanation:
The idea here is to find the value for x and y, then add them together. See the pic I attached below. We will solve for side x first.
Side s is across from the reference angle of 48 degrees; side measuring 50 m is adjacent to the reference angle 48 degrees. Therefore, we will use the tangent ratio to solve for x:
and
50tan(48) = x so
x = 55.53m
Now we will do the same and solve for y. This time the reference angle is 28 degrees. Side y is opposite the reference angle and the side measuring 50 is adjacent to the reference angle, so we will use the tangent ratio again:
and
50tan(28) = y so
y = 26.59. Therefore,
x + y = 55.53 + 26.59 and
the height of the taller building is
82.1 m
Answer:
30 inches
Step-by-step explanation:
The circumference of a circle can be found by using 2
r, or
* d.
Since we are given the circumference of the circle, 30
, you can find the diameter by solving for the diameter (after substituting in the circumference) in the formula for circumference.

To cancel out
you can divide both sides of the equation by pi. Now you have:
30 = d
Therefore the diameter of the circle is 30 inches.
Given:
The equation is:

To find:
The missing value.
Solution:
We have,
...(i)
Taking left hand side, we get

Taking 3 common, we get
...(ii)
On comparing (i) and (ii), we get
Missing value = 3
Therefore, the missing value in the given equation is 3.
Answer:
The score on the next test must be between 86 and 98, inclusive
Step-by-step explanation:
Write an inequality using the average:
86 ≤
≤ 90
Solve for x:
multiply everything by 3:
258 ≤ x + 83 + 89 ≤ 270
258 ≤ x + 172 ≤ 270
subtract 172 from everything:
86 ≤ x ≤ 98
The score on the next test must be between 86 and 98, inclusive