The area of the trapezoid is given by:
A = (1/2) * (b1 + b2) * (h)
Where,
b1, b2: bases of the trapezoid
h: height
Substituting values we have:
91 = (1/2) * ((2 * 7) + b2) * (7)
Rewriting we have:
91 = (1/2) * (14 + b2) * (7)
(2/7) * 91 = 14 + b2
b2 = (2/7) * 91 - 14
b2 = 12 m
Answer:
The measure of the other base of the trapezoid is:
b2 = 12 m
Answer:
Step-by-step explanation:
The first thing we have to do is find the measure of angle A using the fact that the csc A = 2.5.
Csc is the inverse of sin. So we could rewrite as
or more easy to work with is this:
and cross multiply to get
2.5 sinA = 1 and
which simplifies to
sin A = .4
Using the 2nd and sin keys on your calculator, you'll get that the measure of angle A is 23.58 degrees.
We can find angle B now using the Triangle Angle-Sum Theorem that says that all the angles of a triangle have to add up to equal 180. Therefore,
angle B = 180 - 23.58 - 90 so
angle B = 66.42
The area of a triangle is
where h is the height of the triangle, namely side AC; and b is the base of the triangle, namely side BC. To find first the height, use the fact that angle B, the angle across from the height, is 66.42, and the hypotenuse is 3.9. Right triangle trig applies:
and
3.9 sin(66.42) = h so
h = 3.57
Now for the base. Use the fact that angle A, the angle across from the base, measures 23.58 degrees and the hypotenuse is 3.9. Right triangle trig again:
and
3.9 sin(23.58) = b so
b = 1.56
Now we can find the area:
so
A = 2.8 cm squared
Just go to were the line intercepts the y axis so -2 and rise over run so 2 up and 2 over but its negative so C should be correct.
Hi!
<h3>An irrational number is a number that cannot be written as a ratio or a fraction. </h3><h3>Let's go through each answer. </h3>
= 0.18973666...
<u>This is irrational, because it repeats forever.</u>
<u>This is rational, because 2525 repeats in a pattern.</u>
= 1
<u>This is rational. (1/1)</u>
<u>This is rational (10/1)</u>
<h2>The answer is A. √0.036.</h2>
Hope this helps! :)
-Peredhel
$25! Think about it, to get $15.90 as your discounted price, the unknown number must be multiplied by 60% to get $15.90. If you wanna find the original price, do the opposite! What is $15.90 divided by .6? $25!
