Please help me with this math problem!! NO LINKS PLEASE!! Will give brainliest if correct!! :) (Picture attached below)
1 answer:
You might be interested in
Answer:
Give me a heart and 5 stars
Step-by-step explanation:
DEF is shown in the attachment.
Answer: x = 36.08
Step-by-step explanation: We can use <u>Law</u> <u>of</u> <u>Sines</u> to determine x, which is written as:
where
F is the angle at vertex F
The angle is calculated knowing that the sum of all internal angles of a triangle is 180°:
F + 49 + 90 = 180
F + 139 = 180
F = 180 - 139
F = 41
Then, Law of Sines will be:
Sin(90) = 1
sin (41) = 0.6560
Substituing and rearraging:
x = 36.08
<u>The value of x is 36.08 units</u>
The length of the longer base is 41 ft.
<u><em>Explanation</em></u>
Lets assume, length of one base is ft.
As, another base is 19 less than five times the length of this base, so the length of another base
The trapezoid has a height of 18 ft and area of 477 ft²
Formula for Area of trapezoid, , where
= Two bases of trapezoid and
= height of the trapezoid.
Given in the question: and
We have also two bases as: and
So, according to the above formula...
So, length of one base is and another base
That means, the length of the longer base is 41 ft.