Part A: Square cross-section
Part B: Rectangle cross-section
Answer:
h = 20 cm
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
where b1 and b2 are the two bases
We are given a =400 and b1 =27 and b2 =13
400 = 1/2 (27+13) *h
400 = 1/2 (40) *h
400 = 20h
Divide each side by 20
400/20 = 20h/20
20 =h
Since B and C are congruent, that means that 4x+10=x+34. Using the addition property of equality, I challenge you to solve for x! After you do that, you can note that all the angles in a triangle add up to 180, so 4x+10+x+34+angleA=180. When you find x, you can substitute that in.
If you need help with the addition property of equality for variables, here's an example - 5x+23=4x+3. Subtracting 3 from both sides, we get 5x+20=4x. Next, we can subtract 5x from both sides to get -x=20 and divide both sides by -1 to get x=-20.
Good luck, and feel free to ask with any questions!
Answer:
Sine Formula or Sine Rule :
BC / sinA = AC / sinB
60 / sinA = 84.95 / sin(115°)
60 / sinA = 84.95 / 0.91
60 / sinA = 93.7
sinA = 60 / 93.7
sinA = 0.64
A = arc(sin0.64)
A = 39°48'30"
A ≈ 40°
Hence, the value of angle BAC is <u>40°</u>
- <u>40°</u> is the right answer.
