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xeze [42]
3 years ago
15

A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is c

onstructing a second square pyramid with the same size base, but the lateral faces of her pyramid have a slant height twice as long, 2x. Which statement best describes how the surface area of Sydney’s pyramid compares to the surface area of the original pyramid?
Sydney’s pyramid will have the same surface area because the One-half in the expression for the area of the triangular faces will make up for the slant height being doubled.
Sydney’s pyramid will have the same surface area because the slant height is not used when finding surface area.
Sydney’s pyramid will have a surface area that is exactly double the original pyramid’s because the slant height is used when finding the area of every lateral face.
Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.
Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

1. Consider the pyramid ABCDE in the figure 1 attached:

Each side of the square base equals  (units)

Area of 1 lateral side of pyramid ABCDE is

so the total lateral area is  (units squared)

and the total surface area is  (units squared)

2. Now consider the second figure KLMNP, Sydney's pyramid:

The lateral area is

so the total area of the second pyramid is

So 2 things can be said about the areas:

i) the lateral area of Sydney's pyramid is times larger than the lateral area of the original pyramid.

ii) The total area of Sydney's pyramid is units squared larger than the total area of the original pyramid.

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Well if you were to draw a number line from 0 to 2, 9/10 will be placed right before 1. 10/9 will be placed after one. Wendy jumped the shorter distance.
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Marina86 [1]

Answer:

4y = 6x + 40

Step-by-step explanation:

The general equation of a straight line is y = mx + b

m is the slope and b is the y-intercept

let us write both equations in this form;

we have this as;

6y = -4x + 1

y = -4x/6 + 1/6

and;

2x + 3y = 18

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So firstly we want to find an equation that is perpendicular to the first

When two lines are perpendicular, their slopes has a product of -1

The slope of the first line is -4/6

let the slope of the line we want be m

As per they are perpendicular;

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So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6

we can choose 10

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7 0
3 years ago
Eric is looking to go shopping, as he knows he needs more ties and shirts. Eric is looking for his ties and discovers that he cu
mars1129 [50]
<h2>1 way</h2>

For 20 shirts Eric has

20×2=40 ties

After shopping Eric has 50 shirts

So

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40 ties x ties

\frac{20}{40}  =  \frac{50}{x} \\ x =  \frac{50 \times 40}{20}  \\ x = 100

Answer: He would have 100 ties

<h2>2 way</h2>

If he has 2 ties for 1 shirt he will have

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50×2=100 ties

Answer: He would have 100 ties

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Answer:

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