Answer:
C. 
Step-by-step explanation:
We have been given a diagram of an oblique prism and we are asked to choose the expression that represents the volume of the prism.
Since we know that an oblique prism is a prism in which the bases are parallel, but the faces are not directly one over the other.
The volume of an oblique prism is base area multiplied by the height.
We can see from our diagram that our prism has an square base as each side of base equals x units.
We can also see from our given diagram that it has a height of (x-2) units and slant height of (x+1) units.
Since volume of oblique prism is base area times by the height (not slant height). So upon substituting the height and base area of our given prism in volume formula we will get,
Therefore, the volume of our given prism is and option C is the correct choice.
Answer:
so your answer is 52!!!
Step-by-step explanation:
Surface area is 2*l*h+2*l*w+2*w*h
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Answer:
The cost of the $0.5 per cookies and $1.25 per brownie.
Option (A) is correct.
Step-by-step explanation:
Let us assume that the cost of the cookies =x
Let us assume that the cost of the brownie = y
As given
Sara is selling cookies and brownies as a fundraiser for the school band.
She charges $2.25 for two cookies and one brownie.
Than the equation becomes
2x + y = 2.25
She charges $5.75 for four cookies and three brownies.
4x + 3y = 5.75
Than two equation are
2x + y = 2.25 and 4x + 3y = 5.75
Multiply 2x + y = 2.25 by 3 and subtracted from 4x + 3y = 5.75
4x - 6x + 3y - 3y = 5.75 - 6.75
-2x = - 1
2x = 1
x = $0.5
Put in the equation 2x + y = 2.25
2 × 0.5 + y = 2.25
1 + y = 2.25
y = 2.25 - 1
y = $1.25
Therefore the cost of the $0.5 per cookies and $1.25 per brownie.
Option (A) is correct.
Answer:
156
Step-by-step explanation:
Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be (n-2) 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.
Switch\:sides
-9s<-72
\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}
\left(-9s\right)\left(-1\right)>\left(-72\right)\left(-1\right)
\mathrm{Simplify}
9s>72
\mathrm{Divide\:both\:sides\:by\:}9
\frac{9s}{9}>\frac{72}{9}
Simplify
s > 8
