Mathematics High School

What’s the area of the polygon?

Answers

Answer 1

Answer:

[tex]108 in^{2}[/tex]

Step-by-step explanation:

Separate it into 2 parts:

The first would be that the length and width of the smaller rectangle would be, 7 in. and 6 in.

7 x 6 = 42 in^2

The second would be that the length and width of the larger rectangle would be, 11 in. and 6 in.

11 x 6 = 66 in^2

Total:

66 + 42 = 108 in^2

Answer 2

Answer:

108 [tex]in ^2[/tex]

Step-by-step explanation:

This polygon consists of two rectangles, one in the top-right hand corner and another in the bottom. To divide these two rectangles, imagine a line extended from the central horizontal line in the polygon. As I work the problem, remember that the formula for the area of a rectangle is [tex]A=l * h[/tex], where A is the area of the rectangle, l the length of the rectangle (one of the sides), and h is the height of the rectangle (the length of a side perpendicular to l).

Starting with the top-right rectangle:

We already know one of the sides of the rectangle is 4 in, so let's imagine this to be h, because it is the height of the rectangle. Finding l is more complicated. We know the length of the larger rectangle is 12 in (more on that later) and the 6 in length is the part of the length that is not a part of the top-right rectangle. This, since the vertical line all the way to the right is straight, the length is the difference between these two lengths, or:

[tex]l=12-6=6[/tex] in

Now that we know l and h, we can evaluate the area of the first rectangle, which is

[tex]A= 6 *4= 24[/tex] in^2

Now for the bottom rectangle:

We know both l and h for this rectangle, which are 12 in and 7 in respectively. Using the area formula for a rectangle above:

[tex]A=12*7=84[/tex] in^2

Since the polygon contains both rectangles, its area is the sum of the areas of the two rectangles. Thus,

[tex]A=24+84=108[/tex] in^2

QED

Related Questions

Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be at
least 10 feet longer than the width. If he builds his fence according to these limits, which would be the maximum possible width of
the fence?

Answers

Answer:

Step-by-step explanation:

Let the length be l and width be w.

The perimeter will be 2 lengths + 2 widths = 2l+2w

2l+2w cannot be more than 100ft

[tex]21+2w \leq 100[/tex]

Also, the length has to be at least 10ft longer than the width.

[tex]l\geq w+10[/tex]

If we substitute w=20, l=30. 2l+2w can be equal to 100 but not over it.

If w=20 and l=30, 2w+2l = 40+60 = 100.

Hence the maximum length of the width of the fence is 20 ft. C

What is the area of the figure below? Please help me urgent 30 points!!!

Answers

Answer:

Step-by-step explanation:

[tex]5 \times 10 = 50[/tex]

[tex]5 \times 10 \div 2 = 25[/tex]

[tex]50 + 25 = 75[/tex]

You ask learners to select their course section number for your survey. For example, (1) 101, (2) 102, (3) 103. What type of variable is course section in this example?

Answers

Answer:

The variable is a nominal categorical variable

Step-by-step explanation:

As the 3 options are available and the survey taker is required to select from these options, this indicates that the variable is of categorical nature, where only a fixed number of options are available. As the order is not important thus the variable is a nominal categorical variable.

PLSSS HELP (What are the square roots of 121?)

Answers

Answer:

Step-by-step explanation:

Answer: The square root of 121 is 11!

Step-by-step explanation:

11x11= 121

Another example:

9x9=81

So, 9 is the square root of 81

Another example:

8x8=64

so, 8 is the square root of 64!

please help giving brainliest!

Answers

Answer:

0.20

Step-by-step explanation:

total of marbles

= 6 + 4 + 3 + 2

= 15

the probability of blue

= 3/15 × 100%

= 20%

= 0.20

What is the integer that is closer to the square root of 35

Answers

Here’s your answer get the app socratic

use distributive property to rewrite 8(x+3)

Answers

Answer:

8x + 24

Step-by-step explanation:

1. 8(x + 3) - Distribute

2. 8x + 24 - Answer

8x+24.....................;)

SOMEBODY HELP PLSS I DONT GET IT

Answers

25 is the answer

23+25+27+29+31

What is the perimeter of this

Answers

26ft+17ft+25ft

=68ft

The perimeter is 68 ft

Answer:sorry I don’t know

Step-by-step explanation:

Hi!pls can u help me factorise this

Answers

50d^2 - 98e^2

Factor out 2.

2(25d^2 - 49e^2)

We now factor the difference of two perfect squares within the parentheses.

2(5d - 7e)(5d + 7e)

This is as far as we can factor.

Done!

The factor of the expression into an equivalent form 50d²- 98e² would be; 2(5d - 7e)(5d + 7e)

What is factorization?

Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

We are given that expression is given that 50d²- 98e².

We have to Factorise .

Factor out 2.

2(25d² - 49e²)

We have to factor the difference of two perfect squares within the parentheses.

2(5d - 7e)(5d + 7e)

Learn more about factorization here:

https://brainly.com/question/10454590

#SPJ2

Monica goes to a stationery shop to buy pens and pencils. She has $35 in pocket change, and she's looking to buy pens for $7 each and pencils for $2 each.
Write an inequality to describe the possible number of pens and pencils that Monica can buy. If Monica buys 3 pens, what is the maximum number of pencils she
can buy?

Answers

Answer:

7 pencils

Step-by-step explanation:

Let x equal the number of pencils Monica buys and y equal the number of pens.

The expression would then be 2x + 7y ≤ 35. Plugging in 3 for y:

2x + 7(3) ≤35

2x +21 ≤ 35

2x ≤ 14

x≤ 7

HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex] or [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]

Step-by-step explanation:

[tex] 5x^2 - 2 = 4x [/tex]

[tex] 5x^2 - 4x - 2 = 0 [/tex]

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)} [/tex]

[tex] x = \dfrac{4 \pm \sqrt{16 + 40}}{10} [/tex]

[tex] x = \dfrac{4 \pm 2\sqrt{14}}{10} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{14}}{5} [/tex]

[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex] or [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]

Answer:

Answer:

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

−

Step-by-step explanation:

5x^2 - 2 = 4x5x

−2=4x

5x^2 - 4x - 2 = 05x

−4x−2=0

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=

−b±

−4ac

x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)}x=

2(5)

−(−4)±

(−4)

−4(5)(−2)

x = \dfrac{4 \pm \sqrt{16 + 40}}{10}x=

4±

16+40

x = \dfrac{4 \pm 2\sqrt{14}}{10}x=

4±2

x = \dfrac{2 \pm \sqrt{14}}{5}x=

2±

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

−

An ice machine uses 3 gallons of water every 9 hours How many gallons of water does it use each hour? How many hours does it
take to use one gallon?
A)gallon per hour, 1 hour
B)gallon per hour; 3 hours
C)3 gallons per hour, 1/9 hour
D) 1/3 gallon per hour
1/3 hour

Answers

Answer:

1/3 gallon per hour, and it takes 3 hours to use one gallon

Step-by-step explanation:

Simplify the ratio

3-9

Which simplifies to

1-3

———————————————

A scientist keeps track of bacteria cells. She starts with 1 cell. After one hour, there are 2 cells. The number of cells continues to double in each of the following hours

Answers

Answer:

the number of cells increases by a factor of 2.

Explanation:

the number of cells doubles with each hour, which means that they are multiplied by 2. thus, the number of cells increases by a factor of 2.

i hope this helps! :D

Answer: The number of cells increases by a factor of 2.

After four hours, the number 2 is used as a factor 4 times.

Step-by-step explanation: The cells multiply by 2, and make double the amount of cells.

The number 2 is used 4 times after 4 hours to make 16 cells.

What is the mean of the data set?

{21, 23, 25, 25, 26, 28, 28, 28, 31, 33}

A.26.8

B.27

C.27.8

D.28

Answers

Answer:

A. 26.8

Step-by-step explanation:

268/10

the answers is A. 26.8 ... you add all the numbers and then divide the sum by the amount of numbers there is

Find the surface area of the cone. Round your answer to the nearest tenth..

Answers

Answer:

S.A. = 15.7

Step-by-step explanation:

S. A. = [tex]\pi r^{2} + \pi rl[/tex]

1 x 1 x 3.14 = 3.14

3.14 x 1 x 4 = 12.56

12.56 + 3.14 = 15.7

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.

Answers

hhh

Step-by-step explanation:

The answer is 1.5. This is because we know since the shapes are similar you are going from 6 to 9 since they are on the same side. Thus, you have the equation 6y = 9 where y is the scaling factor. Solving for y, you get y=1.5

an angle inscribed in the same os equal arc are equal?

Answers

Answer:

yes

Step-by-step explanation:

Write the equation of the line in slope- intercept form

Answers

Answer:

y=8x+1

Step-by-step explanation:

y=mx+b

m=rise/run=(8)/(1)=8

y=8x+b

b is the y-intercept

y=8x+1

Please help me. I will marks as Brainly if correct

Answers

Your answer would be 12 because the green is half of the red in which it is now 2, 5, and 1.5 we multiply these numbers together and get the volume in which the answer is 12 (: hope I could help, if you could make me brainalist that would amazing!

How much sales tax would you pay for a $55 pair of roller blades if the tax rate is 6.625%?

Answers

you would pay $3.64 in sales tax

55 x 0.06625 = 3.64

Answer:

≈ 3.64 sales tax

Step-by-step explanation:

55 × 0.06625 = 3.64375

what is the answer to this?

Answers

Answer:

5 inches

Step-by-step explanation:

Since the length irl is 60 yards you should divide 60 by 3.

60/3=20

Then convert 1/4 to a decimal.

1/4=0.25

Finally multiply 20 and 0.25 to get the length of the park on the map.

20x0.25=5

your answer is Option F 5 inches

A right triangle is displayed.

The area of the right triangle is

A. 24 in ^2
B. 48 in ^2
C. 432 in ^2
D. 864 in ^2

Answers

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

what is the slope of the graph??? (hint: it’s either 4 or 0) or if u get another answer pls tell me.

Answers

Answer:

The slope is 4

Step-by-step explanation:

rise is 4, run is 1

4/1=4

Which representation shows a translation three units to the left and one unit up?

(x + 3, y + 1)

B.
(x - 3, y + 1)

C.
(x + 3, y - 1)

D.
(x - 3, y - 1)

Answers

Answer:

B. (x-3,y+1)

Step-by-step explanation:

because they are integars

brainlyyest pls

A diagonal of a square is 20cm long. How long is each side

Answers

Answer:

Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm

Step-by-step explanation:

Answer:3

Step-by-step explanation:divide

what is 34 divided by 5

Answers

Answer:

6.8

Step-by-step explanation:

The solution is : 6.8 is the decimal when 34 divided by 5.

Here, we have,

given that,

34 divided by 5

Given the following mathematical expression;

34 / 5

We would apply the law of division for fractions.

34 / 5

= 34 ÷ 5

= 6.8

the decimal form.

Hence, The solution is : 6.8 is the decimal when 34 divided by 5.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

Find the area of the composite figure

Answers

Answer:

The answer is 180ft

Step-by-step explanation:

The reason the answer is 180ft is because your using area which means your are multiplying all your answers.

180ft is your answer

6xy+4x-3y-2=0 solve the equation

Answers

Answer: this equation couldn't be determined

Step-by-step explanation:

The solution couldn't be determined as all the variables are different (it should have at least two variables should be same to be added or subtracted)

please answer fast however answer i will make brainilest

Answers

Answer:
y=x+1

aka
B

explanation:
ok

Other Questions