Based on the calculations, the length of side AB is equal to 13.93 units.
<h3>How to find the length of AB?</h3>
Since the points of tangency are at A and B, we would determine the side length of the point lying between side A and D as follows:
AM = AD - BC
AM = 7 - 2
AM = 5 units.
Now, we can determine the length of side AB by applying Pythagorean's Theorem:
AB² = BM² + AM²
AB² = 13² + 5²
AB² = 169 + 25
AB = √194
AB = 13.93 units.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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Answer:
11.3°
Step-by-step explanation:
Refer the attached figure .
Height of building i.e. AB = 160 feet.
A helicopter takes off from the ground 800 feet from the base of a building i.e. BC = 800 ft.
We are required to find what angle did the helicopter take off from i.e. ∠ACB
We will use trigonometric ratio .
Thus the angle at which the helicopter take off from is 11.3°
Answer:
x = 37
Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.
Answer: 
, Required equation
The number of people Mark invited to the party = 13
Step-by-step explanation:
According to the question,
Total amount spent = (Price of bunch of ballons)+(cost per gift) x (Number of persons)
Given: Total amount spent =$72.95 , Price of bunch of ballons =$6.00 ,
cost per gift =$5.15
thus,
, Required equation
To solve , first
subtract 6 from both sides, we get
The number of people Mark invited to the party = 13
The answer is V= 12315.04
Volume of cylinder is V=πr2h
Radius is 14, 28/2 =14
Plug into the equation,
π(14)^2 (20)
14^2 = 196(20) = 3920
3920*3.14(pi) = 12315.04
