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2 years ago

Find the area of the shape shown below. 7 3 3

Mathematics

2 answers:

kumpel [21]2 years ago

4 0

Split it into two shapes a square and a triangle.

Square = 3 x 3 = 9

Triangle = 1/2 x base x height

The height would be the side of the square = 3

The base would be the length of the top line minus the length of the side of the square = 7-3 = 4

1/2 x 4 x 3 = 6

Total area = 6 + 9 = 15 square units.

AfilCa [17]2 years ago

3 0

Answer:

<h2>15 sq. units</h2>

Step-by-step explanation:

<u>area of a trapezoid = (a + b) * h/2</u>

where a = 3, b = 7, h = 3

plugin values into the formula:

A = (3 + 7) * (3/2)

A = 15 sq. units.

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The lateral area of a cylinder is 100pi in^2. If its dimensions are reduced to one-fifth their original length, what would its n

Tamiku [17]

Answer:

4pi in^2

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

π = pi

r = radius

h = height

Let me illustrate with an example

A cylinder has the following dimensions

r = radius = 20

h = height = 10

lateral area = 2 x π x 20 x 10 = 400π

If dimensions are reduced to one-fifth their original length, new dimensions are

r = radius = 20 x 1/5 = 4

h = height = 10 x 1/5 = 2

New lateral area = 2 x 4 x 2 x π = 16π

change in lateral area = 400π / 16π = 25

If dimensions are reduced by 1/5, lateral area would reduce by 25

100 pi / 25 = 4

4 0

2 years ago

Suppose the radius of a circle is 8. What is its circumference? Enter either an exact answer or use pi or use 3.14 for pi and en

GrogVix [38]

8*3.14= 25.12 * 2=
Circumference= 50.24

4 0

3 years ago

Read 2 more answers

Amy runs 5 miles in 38 minutes how many miles would she run in 57 minutes?

Len [333]

Amy runs 1 mile in 7.6 minutes so in 57 minutes she will have run 7.5 miles

5 0

3 years ago

How would you solve this? help.

Eddi Din [679]

Answer:

<em>Center: (3,3)</em>

<em>Radius: </em> $2\sqrt{5}$ <em />

Step-by-step explanation:

<u>Midpoint and Distance Between two Points</u>

Given two points A(x1,y1) and B(x2,y2), the midpoint M(xm,ym) between A and B has the following coordinates:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The distance between both points is given by:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Point (5,7) is the center of circle A, and point (1,-1) is the center of the circle B. Given both points belong to circle C, the center of C must be the midpoint from A to B:

$\displaystyle x_m=\frac{5+1}{2}=\frac{6}{2}=3$

$\displaystyle y_m=\frac{7-1}{2}=\frac{6}{2}=3$

Center of circle C: (3,3)

The radius of C is half the distance between A and B:

$d=\sqrt{(1-5)^2+(-1-7)^2}$

$d=\sqrt{16+64}=\sqrt{80}=\sqrt{16*5}=4\sqrt{5}$

The radius of C is d/2:

$r =4\sqrt{5}/2 = 2\sqrt{5}$

Center: (3,3)

Radius: $2\sqrt{5}$

8 0

3 years ago

you deposit $700 in an account with an annual interest rate of 4%. calculate the amount of money you will have in that account a

vlabodo [156]

Answer:1872

Step-by-step explanation:

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2 years ago