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.
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Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
Answer:
*The bar is supposed to go on top of the number, but I will put it at the bottom because I don't know how to do it at the top*
a) 0.<u>5</u>
b) 0.<u>13456</u>
Step-by-step explanation:
a) The 5 is repeating so you put the bar on top of the 5
b) The number 13456 is repeated so you put the bar on top of the 13456