Answer:
=468 m^2
Step-by-step explanation:
Surface area of a prism is
SA = 2 (lw + wh + hl) where l is length, w is width and h is height
SA = 2 ( 12*6 + 6*9 + 9*12)
= 2 ( 72+54+108)
= 2(234)
=468 m^2
Answer: $91
Step-by-step explanation:
If a set of 4 tires costs $364, 1 tire cost 364/4 = $91
Answer:
x = tan⁻¹(⅘)
Step-by-step explanation:
We can solve for x by using trigonometric ratios (sin, cos, and tan)
We need to apply the appropriate ratio that uses the two sides 8 and 10 from the perspective of x. See attached image for information about ratios. (Source: Math is Fun)
The tangent ratio is opposite divided by adjacent. It will relate x to the two sides. So we would write
tan(x) = ⁸⁄₁₀
Then we simplify and move the tan to the other side by multiplying both sides by the inverse of tan (since you cannot divide by tan)
tan(x) = ⅘
x = tan⁻¹(⅘)
Then we can use a calculator to evaluate x
If you want to find y, now that you have two angles of the triangle, you can find the sum of 90 + x and subtract that from 180 (since all angles of a triangle add up to 180) to find y.
B. parallelogram , rhombus , and rectangle