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3 years ago

What is the area of the trapezoid? A. 24 mm2 B. 26 mm2 C. 32 mm2 D. 40 mm2

Mathematics

1 answer:

miss Akunina [59]3 years ago

6 0

Answer:

A= 24 m

Step-by-step explanation:

The formula for the area of a trapezoid is A= $\frac{a+b}{2}$ x h.

Using the formula you plug in the values:

A= $\frac{4 + 12} 2}$ x 3

2. Now you simplify the equation and solve

A = $\frac{16}{2}$ x 3

A = 8 x 3

A = 24

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The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

Fynjy0 [20]

Answer:

The volume of a single tennis ball is $14.14\ in^{3}$

The volume of three tennis balls is $42.42\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

case A) The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

case B) The volume of the can is $56.55\ in^{3}$

The statement is false

The volume of the can is $59.38\ in^{3}$ --> see the procedure Step 2

case C) The empty space inside the can is $14.13\ in^{3}$

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

$59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}$

case D) The volume of three tennis balls is $42.42\ in^{3}$

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

$14.14*3=42.42\ in^{3}$

8 0

3 years ago

I NEED HELP ASAP

SVEN [57.7K]

Alright, lets get started.

If the polygon measures 45 degree exterior angle and we are asked to find number of sides, there is a formula for that.

$\frac{360}{n}$ = value of exterior angle

Where n is number of sides of ploygon

$\frac{360}{n} = 45$

Multiplying n into both sides

$\frac{360}{n} * n = 45 n$

$360 = 45 n$

Now divide 45 in both sides

$\frac{360}{45} = \frac{45n}{n} = n = 8$

n = 8

Means number of sides of polygon is 8, hence its Octagon. Answer

Now we have given 45 exterior angle hence interior angle would be

180 - 45 = 135°

So, sum of all interior angles would be = number of sides * interior angle

sum of all interior angles would be = $8 * 135 = 1080$

Hence sum of all interior angles would be 1080°. Answer

Hope it will help :)

7 0

3 years ago

Which figure represents the image of trapezoid LMNP after a reflection across the x-axis?

Naddika [18.5K]

Answer:

Step-by-step explanation:

Imagine folding the graph in half on the x-axis and tracing the shape on the other side.

Ps. x-axis is horizontal (left-right), y-axis is vertical (up-down)

3 0

3 years ago

Read 2 more answers

EASY QUESTION. HELP NEED PLZ.

Setler79 [48]

Answer:

1: 30 degrees

Step-by-step explanation:

In Physics, we have the law of reflection. This law states that when light rays hit the smooth surface of mirror or any smooth polished surface, the angle of incidence is equivalent to the angle of reflection.

Mathematically:

Angle of incidence = Angle of reflection

From the above question, the angle of incidence is on a smooth plane mirror = 30°

Since:

Angle of incidence = Angle of reflection

30° = 30°

Therefore, based on the law of reflection, the Angle of reflection = 30°

3 0

3 years ago

A soda factory packages 10 soda cans per box. How many boxes are needed to ship 120,450 soda cans?

tamaranim1 [39]

Answer: 12,045 boxes

Step-by-step explanation:

120,450 divided by 10

= 12,045

6 0

3 years ago

Read 2 more answers