The surface area of it is 164 because you multiply each side by the length of the height and width and then add them all together
Remark
You need to do some trig to get the final answer. There is no way around it. You can however, solve the first part with the Pythagorean Theorem.
Step One
Find AB
AB^2 = DB^2 + AD^2
AB^2 = 7.5^2 + 4.9^2
AB^2 = 56.25 + 24.01
AB^2 = 80.26
AB = sqrt(80.26)
AB = 8.9588
Step Two
Move to the triangle on your right. Find x
Tan(C)= opposite / adjacent
Tan(55.8) = AB/adjacent
Tan(55.8) = 8.9588/ x Multiply both sides by x
x * tan(55.8) = 8.9588 Divide by tan(55.8)
x = 8.9588/tan(55.8)
x = 6.09
Answer: A
Answer:
m∠1 = 60°
m∠2 = m∠4 = 39°
m∠3 = m∠5 = 21°
Step-by-step explanation:
ΔWXY is a equilateral angle,
Therefore, all angles of the the triangle are equal in measure.
m∠W + m∠X + m∠Y = 180°
3m∠W = 180°
m∠W = 60°
Since, ΔWZY is an isosceles triangle,
m∠3 = m∠5
m∠3 + m∠Z + m∠5 = 180°
m∠3 + 138° + m∠3 = 180°
2m∠3 = 180 - 138
m∠3 = 21°
Therefore, m∠3 = m∠5 = 21°
Since, m∠2 + m∠3 = 60°
m∠2 = 60 - 21
= 39°
Since, m∠4 + m∠5 = 60°
m∠4 = 60 - 21
= 39°
m∠1 = 60°
150 divided by 25 equals 6. 6 times 3 equals 18. This means that you will spend $18 on gas each week.
