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madreJ [45]
3 years ago
6

A slice is made parallel to the base of a right rectangular pyramid, as shown. What is the area of the resulting two-dimensional

cross-section? Enter your answer in the box.
Rectangular pyramid intersected horizontally by a rectangle. The front edge of the base of the pyramid is labeled 7 millimeters, and the right edge is labeled 4 millimeters. The height of the pyramid is labeled 5 millimeters. The part of the larger rectangle that intersects the pyramid is a smaller gray rectangle. The front side of the smaller rectangle is labeled 3.5 millimeters, and the right side is labeled 2 millimeters.
Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

Answer:

  7 mm²

Step-by-step explanation:

The area of any rectangle is the product of its side lengths. The area of the cross section is the product of its dimensions:

  (3.5 mm)·(2 mm) = 7 mm²

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What is the quotient 4-x/x^2+5x-6 divided by x^2-11x+28/x^2+7x+6 in simplified form?
sashaice [31]
\dfrac{4-x}{x^2+5x-6}:\dfrac{x^2-11x+28}{x^2+7x+6}=(*)

4-x=-(x-4)\\\\x^2+5x-6=x^2+6x-x-6=x(x+6)-1(x+6)=(x+6)(x-1)\\\\x^2-11x+28=x^2-7x-4x+28=x(x-7)-4(x-7)\\=(x-7)(x-4)\\\\x^2+7x+6=x^2+6x+x+6=x(x+6)+1(x+6)=(x+6)(x+1)\\\\(*)=\dfrac{-(x-4)}{(x+6)(x-1)}:\dfrac{(x-7)(x-4)}{(x+6)(x+1)}
=\dfrac{-(x-4)}{(x+6)(x-1)}\cdot\dfrac{(x+6)(x+1)}{(x-7)(x-4)}=\dfrac{-1}{x-1}\cdot\dfrac{x+1}{x-7}\\\\=-\dfrac{x+1}{x^2-7x-x+7}=-\dfrac{x+1}{x^2-8x+7}
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How do I find the answer for 1/2 of 3/5
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7 0
4 years ago
Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for $2.50 and a large mug that she se
IrinaVladis [17]

Mary McDonald sold 11 small mugs and 10 large mugs.

Step-by-step explanation:

Given,

Total cost of sold cups = $85

Cost of one small cup = $2.50

Cost of one large cup = $5.75

Cups at the start of day = 215

Cups at the end of day = 194

Cups sold = Cups at the start of day - Cups at end of day

Cups sold = 215 - 194 = 21

Let,

x represents the number of small cups.

y represents the number of large cups.

According to given statement;

x+y=21    Eqn 1

2.50x+5.75y=85    Eqn 2

Multiplying Eqn 1 by 2.50

2.50(x+y=21)\\2.50x+2.50y=52.50\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(2.50x+5.75y)-(2.50x+2.50y)=85-52.50\\2.50x+5.75y-2.50x-2.50y=32.50\\3.25y=32.50

Dividing both sides by 3.25

\frac{3.25y}{3.25}=\frac{32.50}{3.25}\\y=10

Putting in Eqn 1

x+10=21\\x=21-10\\x=11

Mary McDonald sold 11 small mugs and 10 large mugs.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/12905000
  • brainly.com/question/12918501

#LearnwithBrainly

7 0
3 years ago
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