Answer:
a. 96 in²
Step-by-step explanation:
The surface area of the prism = the sum of the area of each part of the net shown
✔️Area of the 2 equal triangles = 2(½*b*h)
b = 4 in
h = 3 in
Area of the two triangles = 2(½*4*3) = 12 in²
✔️Area of the rectangle 1 with the following dimensions:
L = 7 in
W = 3 in
Area = L*W = 7*3 = 21 in²
✔️Area of the rectangle 2 with the following dimensions:
L = 7 in
W = 4 in
Area = L*W = 7*4 = 28 in²
✔️Area of the rectangle 3 with the following dimensions:
L = 7 in
W = 5 in
Area = L*W = 7*5 = 35 in²
✅Surface area of the prism = 12 + 21 + 28 + 35 = 96 in²
Answer:
\frac{x^3+2x^2-16-2x}{x}
Step-by-step explanation:
\frac{x^3+2x^2-16-2x}{x}
When solved using the distributive property, it will equal 2b+6c
Let width be “w", length = “l" and perimeter = p
Then l = 3w-4
Perimeter = 2(w+l)
p = 2(w+3w-4) = 2w+6w-8 = 8w-8
Perimeter is 32…
8w-8 = 32
8w = 32+8
8w = 40
w = 5
l = (3×5)-4 = 11
Check… p = 2(5+11) = 2 × 16 = 32
Ans = length is 11
Hope it helps!
Answer:
21
Step-by-step explanation:
7/8 = x/24
Cross multiply.
8x = 24 × 7
8x = 168
x = 168/8
x = 21
