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natka813 [3]
3 years ago
10

What is the surface area and volume? PLEASE EXPLAIN IN DETAIL HOW TO SOLVE.

Mathematics
1 answer:
Maslowich3 years ago
7 0

The surface area is the sum of the area of all the faces of an object.

Area of bottom face: 4×2.5=10

Area of right and left sides: 2(2.5×2)=10

Area of front and back sides: 2(4×2)=16

Area of the rectangular sides of the roof: 2(2.5×2.5)=12.5

Area of the triangle sides of the roof: 2(1/2(4×1.5))=6

Add up all of these to get 54.5 yd^2

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tigry1 [53]

Answer:

C) -\frac{47}{49}

Step-by-step explanation:

By the cos double angle formula, we know \cos(2\theta)=2\cos^2\theta-1. Substituting \cos \theta into the formula, we get

\cos(2\theta)=2(-\frac{1}{7})^2-1\\~~~~~~~~~~=\frac{2}{49}-1\\~~~~~~~~~~=\boxed{-\frac{47}{49}}.

The answer is C.

5 0
2 years ago
( x + 3 )( y + 2 ) = xy - 5<br> ( x + 2 )( y - 3 ) = xy
Paraphin [41]

Answer:

xy+2x+3y+6=xy-5 .............(1)

xy-3x+2y-6=xy.....,.,(2)

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(2)*(2x+3y)=-11

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4 0
3 years ago
Please help.............
natta225 [31]

Answer:

...........

2(x + 2) + 2x = 20

6 0
3 years ago
Read 2 more answers
What is the vertex of the quadratic function f(x)=(x-8)(x-2)?
7nadin3 [17]
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)

another way to do it: 
f(x)=x²-10x+16
the vertex is when x=-\frac{b}{2a}, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
4 0
3 years ago
Jason has a bag of tiles with the letters from the word IMPOSSIBLE. He pulls a random tile out of the bag. Which outcomes are mo
Evgen [1.6K]

Answer:

The letters I and S are more likely to come out of the bag because they are   repeated twice in the word.

7 0
3 years ago
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