Challenge Question Sally's bank account balance was $50 on Monday. On Tuesday, she bought a new pair of shoes for $45. On Thursd
1 answer:
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Answer:
152
Step-by-step explanation:
Hello there!
The prism shown is a triangular prism
There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one
Formula: SA = bh + L(s1 + s2 + s3) (found in the image)
b = base length
h = height
L = length
s1 = (same thing as the base length)
s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)
The triangular prism has the following dimensions
b = 6
h = 4
L = 8
s2 and s3 = 5
Now that we have identified each dimension we plug in the values into the formula
SA = 6*4 + 8(6+5+5)
6*4=24
8*6=48
8*5=40
40*2=80
80+48=128
128 + 24 = 152 so the surface area of the triangular prism is 152 cm²
Answer:
x =
Step-by-step explanation:
7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6
Multiply both sides by 10:
7.4x×10+4.1(2x-4)×10=-2.3(x-6)×10-21.6×10
Refine:
74x+41(2x-4)=-23(x-6)-216
Distributive Property:
74x+82x-164=-23(x-6)-216
Combine like terms:
156x-164=-23(x-6)-216
Distributive Property:
156x-164=-23x+138-216
Combine like terms:
156x-164=-23x-78
Add 164 to both sides:
156x-164+164=-23x-78+164
Simplify:
156x=-23x+86
Add 23x to both sides:
156x+23x=-23x+86+23x
Simplify:
179x=86
Divide both sides by 179:
=
Simplify:
x =