Answer:
Step-by-step explanation:
Split the trapezoid as pictured below
Find its height and the upper base, then find the area of the trapezoid.
There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles
- The ratio of sides of a 30°×60°×90° triangle is 1 : √3 : 2
- The legs of a 45x45 triangle are equal
<u>The above mentioned properties give us:</u>
- h = 16/2 = 8 m
- b = 8√3 ≈ 13.85 m
- a = h = 8 m
<u>Now find the area:</u>
- A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²
Correct choice is B
The next three terms are: -3, 6, and 15
To get each new term, we simply add 9 to the last term. So we add 9 to -12 to get -3. Then we add 9 to -3 to get 6. Finally we add 9 to 6 to get 15
In other words,
first term = -12
second term = first term+9 = -12+9 = -3
third term = second term + 9 = -3+9 = 6
fourth term = third term + 9 = 6+9 = 15
This process repeats forever though we only need three terms in this case.
So that's why the answer is the three values -3, 6 and 15
The height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Angle = 71 degree
Distance between A and B = 20 meters
Let's suppose the height of the building is x meters.
From the right angle triangle applying the tan ratio:
tan71 = x/20
x = 58.08 meter
Thus, the height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ1
You move the decimal point forward until it reaches the one so it looks like this:
1.4 x 10⁵
the exponent, 5, just tells you how many spaces the decimal point moved.
