Step-by-step explanation:
x + 107 + 34 = 180
x + 141 = 180
x. = 180 - 141
x = 39
the above method can be used if the angles are the interior angles of triangle or for all angles in a straight line .
Answer:
from what we're given on the drawing, ac and pt are congruent
and from the question format, ab is equal to pq, ac is equal to pr
First, let's find what √14 equals.
√14 ≈ 3.74
Now, we can solve for all the answer choices.
Option A:
19/6 = 3.1666...
22/7 = 3.1428...
Option B:
Doesn't need to be solved.
3.17
3.71
Option C:
√4 = 2
√9 = 3
Option D:
Doesn't need to be solved.
3.70
3.75
The only option that contains √14 between it, is Option D.
Hope This Helped! Good Luck!
You can draw a diagram of the situation, representing it by a right triuangle.
In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.
The opposed leg to 41° is the height of the ballon.
Then you can use the sine trigonometric function.
sine (41°) = opposed leg / hypotenuse = x / 1503 m => x = 1503m * sine(41°)
=> x = 986m.
Answer: 986m
Answer: The surface area of the planter will be 120.5 square feet.
In our shape, we will have 5 sides. The base and the four sides going up from each edge of the base.
The base will be 7 x 5 = 35 square feet.
The front and back side will each be 7 x 0.75 = 5.25 square feet.
The left and right side will each be 5 x 0.75 = 3.75 square feet.
If we add up the 5 faces we get:
35 + 5.25 + 5.25 + 3.75 + 3.75 = 120.5 square feet