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loris [4]
3 years ago
7

Write an expression in simplest form for the perimeter of each figure

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0
QUESTION 12

The given figure has five unequal sides.

The perimeter is the distance around the figure.

So we add all the lengths of the sides of the rectangle to get,

Perimeter = 5x + 4x + 2.8y + 2x + 2.2y

We regroup the like terms to obtain,

Perimeter = 5x + 4x +2x + 2.8y + 2.2y

This will simplify to give us,

Perimeter = 11x + 5.0y

Perimeter = 11x + 5y

QUESTION 13

The given figure has two pairs of sides that are equal in length and three unequal sides.

The perimeter can be found by adding all the lengths of the sides of the of the figure.

This will give us

Perimeter = 6b + 5a + 3b + 4 + 3a + 2b + 5a

We regroup like terms to obtain,

Perimeter = 6b + 2b+ + 3b + 5a + 5a +3a + 4 +

This finally simplifies to ,

.
Perimeter = 11b + 13a + 4 +

QUESTION 14

This plane figure has four sides that are equal to 4j and two sides that are equal to 2h.

We add all the lengths of the sides of the plane figure to get,

Perimeter =4j + 4j+ 4j+ 4j + 2h + 2h

This will simplify to give us,

Perimeter =16j + 4h
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Can you help me find the volume base area latera area and total area please to this problem
krek1111 [17]

Answer:

BA = 25π,

LA = 25√2π,

TA = 25π + 25√2π,

V = 41 and 2 / 3π

Step-by-step explanation:

We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

( Height = 5 inches = Radius

______

Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "

\pi r^2\\= \pi ( 5 )^2\\= 25\pi - Base Area = 25π

______

The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, l= \sqrt{r^2+h^2} -

\pi r( \sqrt{r^2+h^2} )\\= \pi( 5 )( \sqrt{5^2 + 5^2} )\\= 25\sqrt{2} \pi- Lateral Area = 25√2π

______

And the surface area is the base area + lateral area -

25\pi + 25\sqrt{2} \pi - Surface Area

______

The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -

1 / 3( 25\pi )( 5 )\\= 25 / 3( 5 )( \pi )\\= 41 \frac{2}{3}\pi- Volume = 41 and 2 / 3π

8 0
3 years ago
The population of a country divided by its area determines its birth/death rate birth/death rate NIR. NIR. arithmetic density ar
ioda

Answer:

Arithmetic density.

Step-by-step explanation:

The correct answer is arithmetic density. This is because for a country, it is also known as real density and it's defined as the number of people per unit area of total land in that country.

Thus, the population of a country divided by its area determines its arithmetic density

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describe the steps you would take to determine the distance in miles between two towns that are 200 kilometers apart
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It will be -200 kilometers because you gotta get a ruler
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write an expression that describes the number of points scored on touchdowns t and points after touchdowns p by one team in a ga
Len [333]
A touchdown is scored 6 points for each touchdown and the points made after a touchdown is scored 2 points each. We are given the following variables:

t = number of touchdowns
p = number of points after a touchdown

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