Answer:
168 ft²
Step-by-step explanation:
The area of the two triangular bases is ...
total base area = 2×(triangle area) = 2×(1/2)bh = (6 ft)(4 ft) = 24 ft²
The lateral area of the prism is the product of the triangle perimeter and the height of the prism.
lateral area = (6 ft + 5 ft + 5 ft)(9 ft) = 144 ft²
The surface area is the sum of the base area and the lateral area:
surface area = base area + lateral area
surface area = 24 ft² +144 ft² = 168 ft²
The surface area of the prism is 168 square feet.
50^2 = 50 to the power of 2 = 2.5 × 10^3
Explanation:
(50) to the 2nd power or simply '50 to the 2nd' is obtained by multiplying 2 times the base 50 by itself. So,
50^2 = 50 × 50 = 2.5 × 10^3
Note: We say that 50 is the base, 2 is the exponent, and the whole thing or the result is a power of 50.
= 7.348469228
this is irrational, because it cannot be written in the form
2. Irrational
You have to find the cos of angle A, so use the Pythagorean equation and trig laws to find the other side of the triangle created by angle A. 3^2 + x^2 = 5^2. x=4. This means cos(A) = 4/5). Make both cos (A) and cos (B) have equal denominators, and add. 148/185 + 60/185 = 208/185. This answer is correct, though it doesn’t appear to be any of the answers you wrote, so either those answers are wrong or you wrote something incorrectly in the problem.
Next time, please include the instructions.
This inequality could be broken into two parts:
4m
m + 9 AND m + 9 > -9 + 4m
Focus first on the inequality m + 9 > -9 + 4m. subtract m from both sides, obtaining:
9 > -9 + 3m. Next, add 9 to both sides, obtaining: 18>3m, or m<6
Last step: Determine whether the inequality <span>4m≥m+9 is true if m<6.</span>
