Find the area of the figure

Answers

Answer 1

Answer: So it's best in this case to separate both shapes so you have a rectangle and a triangle so to solve the area of a rectangle you do
The following ( picture )
So I hope this helps

Answer 2

Answer:

144.5 cm

Step-by-step explanation:

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Is it necessary to add a zero after 1.08 to find the sum

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brian has 9 14 ounce bags of popcorn to repack and sell at the school fair. a small bag holds 3 ounces.how many small bags can he make

What is a mixed number that is equivalent to 16/3

Answers

5 1/3 is the answer. hope it helps

I'm going to say 5 1/3 long division

An animal gained 4 pounds steadily over 16 years what is the unit of rate of pounds per year?

Answers

Think about it... If it gains 4 pounds in 16 years, how many does it grow in 1 year? :) See the relation? If not...

a) How would you express it growing per year? 4 pounds in 16 years... It must be 4/16!
b) To find the unit rate, the numerator MUST BE 1. What can you do to 4 to get to 1? You can divide by 4!
c) Of course, whatever you do to one side of the fraction, you HAVE to do to the other. That means you have to divide the 4 in the equation by 4 AND the 16 in the equation by 4. You should get 1/4, because 4/4 is 1 and 16/4 is 4.
d) Wow! That means your unit rate is 1 pound per 4 years, or 1/4!

TIP:
Try thinking of the division sign / as 'per'. Instead of the unit rate being thought of as 1/4, think of it as 1 per 4 years. :)

Ms. White has 15 students in her first grade class. Troy is the line leader for the week, and Mackenzie is last because she was the line leader last week. In how many different ways can Ms. Whites class line up for lunch?

Answers

The first place and 15th place are already decided, so we have to find the number of
different ways that the other 13 students can line up, in the places from #2 to #14.

2nd place can be any one of 13 people. For each of those . . .
3rd place can be any one of 12 people. For each of those . . .
4th place can be any one of 11 people. For each of those . . .
.
.
.
13th place can be any one of 2 people. For each of those . . .
14th place has to be the one student who is left.

Total number of ways that 13 students can line up in places #2 through #14 is

(13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

That number is called "thirteen factorial". The number is 6,227,020,800 .

When you write it in math, you write it like this: 13!

Complete the equations of the system in slope intercept form use a decimal for the slope if nessisary Line 1 line 2
X y. X y
0 3. -1 1
1. 5. -2-1
Line 1:y=____x+____
Line 2:y=____x+____

Answers

$m=(y_1-y_2)/(x_1-x_2)$

Line 1:
$m=(5-3)/(1-0)\n m=(2)/(1)\n m=2\n\n\hbox{Point (0,3) is y-intercept so } b=3\n\n y=2x+3$

Line 2:
$m=(1-(-1))/(-1-(-2))\nm=(2)/(1)\nm=2\n\n1=2\cdot(-1)+b\n1=-2+b\nb=3\n\ny=2x+3$

Tim is designing a logo. The logo is a polygon. Whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle. The square and equilateral have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.7 cm. Find the area of the logo.

Answers

Given:
2 shapes : square and equilateral triangle
side length = 2 cm
height of equilateral triangle = 1.7 cm

Equilateral triangle means that all sides are of equal measurement.

Area of a Square = a² ⇒ (2cm)² = 4cm²
Area of an equilateral triangle = √3/4 * a²
Area of an equilateral triangle = √3/4 * (2cm)² = 0.43 * 4cm² = 1.72 cm²

Area of the logo = 4 cm² + 1.72 cm² = 5.72 cm²

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