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2 years ago

Identify the cross section that results from slicing the three-dimensional figure.

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

4 0

<h3>Answer: C) Square </h3>

Explanation:

You have the correct answer. The blue plane is basically a knife that cuts the pyramid into two pieces. The top portion is a smaller similar pyramid (same shape, smaller size). The bottom portion is a pyramidal frustum.

Where the cut happens in the blue plane, a square forms. This square is the base of the upper pyramid and the roof of the frustum.

We can think of the blue stuff like water. Then allow that water to freeze to form a block of ice. Then carefully slide the block of ice upward and there should be a square hole in the center. So this is another way to see how we have a square cross section. The square cross section is due to the pyramid's base being a square. This means that if we had say a hexagonal base, then the cross section would be hexagonal.

All of this only applies if the cutting plane is parallel to the base of the pyramid.

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A particular computer takes 11 minutes to download a 33-minute TV show. How long will it take the computer to download a 2.5-h

zhenek [66]

First off.. we need to get the units the same. All in hours,

or all in minutes. 36 minutes = 36/60 hours = 3/5 hours = 0.6 hours.

12 minutes = 12/60 hours = 1/5 hours = 0.2 hours

Set up a proportion:

0.2 is to 0.6 as x is to 22.5

x/22.5 = 0.2/0.6

x = 0.2(22.5)/0.6

x = 7.5 hours

thanx

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8 0

3 years ago

The thickness of each type of coin is shown in the table. How much thicker is stack of dollars worth of nickels than a dollars w

Lilit [14]

Let our basis be worth 1 dollar. A nickel's worth is $0.05. In order to come up with $1, the number of nickels should be:

Number of nickels = $1 * 1 nickel/$0.05 = 20 nickels
Thickness of 20 nickels = 20 nickels * 1.95 mm = 39 mm

Let's do the same for the quarters. Each quarter is worth $0.25.

Number of quarters = $1 * 1 quarter/$0.25 = 4 quarters
Thickness of 4 quarters = 4 quarters * 1.75 mm = 7 mm

Find the ratio of the two:
39 mm/7 mm = 5.57

Therefore, a stack of nickels is 5.57 times thicker than a stack of quarters worth one dollar.

7 0

4 years ago

(High points) please solve with explanation

AysviL [449]

Answer:

The area and the perimeter of the picture are:

Area = 160 cm^2
Perimeter = 67.31 cm

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

Area of a rectangle = 16 cm * 12 cm
Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

Area of a triangle = (8 cm * 8 cm) / 2
Area of a triangle = (64 cm^2) / 2
Area of a triangle = 32 cm^2

We subtract to the found area:

Area of the picture = 192 cm^2 - 32 cm^2
Area of the picture = 160 cm^2

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

$a^{2}+b^{2}=c^{2}$

Where:

a = Opposite leg (8 cm)
b = Adjacent leg (8 cm)

So, we replace in the theorem:

$a^{2}+b^{2}=c^{2}$

$(8 cm)^{2}+(8cm)^{2}=c^{2}$ (and we clear c)
$\sqrt{(8 cm)^{2}+(8cm)^{2}} =c$
$\sqrt{64 cm^{2}+64cm^{2}} =c$
$\sqrt{128cm^{2}} =c$
c = 11.3137085 cm
c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
Perimeter of the picture = 67.31 cm approximately.

7 0

3 years ago

BRAINIEST AND 30 POINTS Please solve these all for me i really need them

Ivanshal [37]

Oh my, ummm if u go on slander and search that book name then type that page number it will give u all the answers, and the answers are probably at the back of the book <3

6 0

3 years ago

Read 2 more answers

If you are paid $5.50/hour for mowing yards, and you take 1 3 3 hours to mow a yard, how much money are you owed

mamaluj [8]

The correct question is
If you are paid $5.50/hour for mowing yards, and you take 3 1/3 hours to mow a yard, how much money are you owed
see the attached figure

we know that
3 1/3 hours-----> (3*3+1)/3----> 10/3 hours
Multiply $5.50/hour by (10/3) hour
so
5.5*10/3----> $18.33

the answer is
$18.33

6 0

3 years ago