Answer:
Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by
surface area of prism = 2 * area of base + perimeter of base * H
So for the rectangular prism in your example..
surface area = 2LW + 2(L+W)H
= 2 * 7 * 4 + 2*(7+4)*5
= 56 + 2 * 11 * 5
= 56 +110
= 166 sq cm
Hope this helps
Answer:
Step-by-step explanation:
Use the fact that C + 118 = 180 Subtract 118 from both sides
C + 118 - 118 = 180 - 118
C = 62
C + 57 = B C and A are remote interior angles. They equal the exterior angles that are not supplementary to B.
62 + 57 = B
B = 119
Answer:
32 lb
Step-by-step explanation:
Let a = number of pounds of type A coffee used.
Let b = number of pounds of type B coffee used.
From the statement:
"This month's blend used three times as many pounds of type B coffee as type A"
we get this equation:
b = 3a
"Type A coffee costs Karen $5.50 per pound, and type B coffee costs $4.25 per pound."
She spend (in dollars) 5.50a + 4.25b, but since b = 3a, we get
5.5a + 4.25(3a) = 5.5a + 12.75a.
She spent $584, so
5.5a + 12.75a = 584
18.25a = 584
a = 32
She used 32 lb of type A coffee.
Answer: The correct answer is: [A]: " x = - 1/2 " .
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Step-by-step explanation:
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Given:
4x − 6 = 10x − 3 ; Solve for "x" ;
Let us add "3" to each side of the equation;
and subtract "4x" from each side of the equation:
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4x − 6 + 3 − 4x = 10x − 3 + 3 − 4x ;
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to get:
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-3 = 6x ;
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↔ 6x = -3 ;
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Now, divide Each Side of the equation by "6" ;
to isolate "x" on one side of the equation;
and to solve for "x" ;
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6x / 6 = - 3 / 6 ;
to get:
x = - 3/ 6 ;
.
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→ which is: Answer choice: [A]: " 
" .
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Hope this helps!
Wishing you well in your academic endeavors!
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Answer:530,000
Step-by-step explanation:
First you look at the hundrends if it is greater or the same as 500 than it rounds up if not round down
