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3 years ago

5. Write two inequalities to compare -17 and -22.

Mathematics

1 answer:

galina1969 [7]3 years ago

8 0

Answer:

-17>-22

-22<-17

Negative seventeen is closer to zero, therefore it is always larger than negative twenty-two.

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A circle has a circumference of 113.04. What is the diameter of the circle?

Alekssandra [29.7K]

Answer:

56.52

Step-by-step explanation:

because the circumference is double the diameter and the circumference is 113.04 so half of that is 56.52

8 0

3 years ago

Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

Which number is in the solution set of the inequality x > 25?

irina1246 [14]

Step-by-step explanation:

D) 28 big mouth eat bigger number

8 0

3 years ago

Read 2 more answers

A pilot flew a 400 mile flight in 2.5 hours flying into the wind. Flying the same rate and with the same wind speed the return t

eduard

Answer: 20 mph

Explanation:

Speed is a physical quantity which is equal to the ratio between the distance covered (d) and the time taken (t):

$v=\frac{d}{t}$

In the first part of the problem, the plane flew a distance of d=400 mi in a time of t=2.5 h. The speed of the plane in this case was the difference between the proper speed of the plane, v, and the speed of the wind, w, since the plane flew opposite to the wind. So we can write:

$v-w=\frac{400mi}{2.5h}=160 mph$ (1)

During the return trip, the plane flew with a speed (v+w), since the wind was on the tail, and it took 2 hours to cover the same distance:

$v+w=\frac{400 mi}{2 h}=200 mph$ (2)

So we have two equations with two unknown variables. From (1), we get

$v=160+w$

Substituting into eq.(2)

$(160+w)+w=200\\160+2w=200\\2w=40\\w=20 mph$

So, the speed of the wind was 20 mph.

3 0

3 years ago

Read 2 more answers

Please answer correctly!

Zanzabum

Answer:

B. 1296 m^3

Step-by-step explanation:

To find the volume of a square pyramid, multiply the base by itself twice, then divide the height by 3. After getting both answers, multiply the answers.

In this case, the base is 18.

The height is 12.

First, we must multiply the base by itself twice.

18⋅18 = 324.

Next, divide the height by 3.

12/3 = 4.

Now that we have both answers, we multiply them.

324 ⋅ 4 = 1,296.

Therefore, 1,296 cm^3 is the volume of the square pyramid.

7 0

3 years ago