Find the area of the polygon . :)

Find The Area Of The Polygon . :)

Answers

Answer 1

Answer:

41 square units

Step-by-step explanation:

this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.

for me this split would be

1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.

2. a right-angled triangle ABF (the same F as for 1.).

the area of a square is the square of a side length.

the side length in 1. is 4.

so, its area is 4×4 = 16 square units.

the area of a right-angled triangle is

a×b/2

with a and b being the sides enclosing the 90 degree angle.

in our case here a = BF = 10, b = FA = 5

so the area of the triangle is 10×5/2 = 25 square units.

so, the total area is 16 + 25 = 41 square units.


Related Questions

evaluate the expression 4(n+5)-8 when n =1/4 and m=0.5

Answers

Answer:

17

Step-by-step explanation:

Given

4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression

= 4(0.25 + 5) - 8(0.5)

= 4(5.25) - 4

= 21 - 4

= 17

For a rollerblading party there are 50 tickets available. Jason buys 6 tickets and Heather buys three times as many as Jason bought. How many tickets are left to be sold?


Show your work

Answers

Answer:

There are 26 tickets left to be sold.

Step-by-step explanation:

Jason - 6 tickets

Heather - 6(3) = 18 tickets

6+18 = 24 tickets

50-24 = 26 tickets

the difference of two numbers is 13/24. if 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other, what are the 2 numbers?

Answers

Answer:

The two numbers are 11/8 and 5/6

Step-by-step explanation:

Let the unknown numbers be x and y

Given that the difference of two numbers is 13/24

x - y = 13/24

and  that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other

11/12 * 1/x = 5/9 * 1/y

11/12x = 5/9y

cross multiply

12x * 5 = 11* 9y

60x = 99y

x = 99y/60

= 33y/20

substitute into x - y = 13/24

33y/20 - y = 13/24

13y/20 = 13/24

24y = 20

y = 20/24

= 5/6

x = 33y/20

= 33 *5/20*6

= 11/8

Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?

Answers

$540
Explanation:
7.5% of 1800 is 135
135 • 4 = 540

plzz help me with the correct ans find x ​

Answers

Answer:

15

Step-by-step explanation:

Since, triangle ABC is the enlargement of triangle XYZ.

[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]

So, corresponding sides of both the triangles would be in proportion.

[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]

[tex] \therefore x= \frac{6\times 25}{10}[/tex]

[tex] \therefore x =\frac{150}{10}[/tex]

[tex] \therefore x = 15[/tex]

The answer is 15. Because yes

to the girl who helped me <3 please help me again.

Answers

Answer:

x = 11

Step-by-step explanation:

<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel

<4 = <5

7x+5 = 5x+27

Subtract 5x from each side

7x+5-5x = 5x+27-5x

2x+5 = 27

Subtract 5 from each side

2x+5-5=27-5

2x =22

Divide by 2

2x/2 =22/2

x =11

Find the perimeter of the window to the nearest hundredth perimeter: about ft

Answers

Answer:

I would answer but I have no numbers to give the answer

Is this a function?
{(2, 9),(5, 8),(19, 9)}


Answers

Answer:

Yes

Step-by-step explanation:

As long as no x values repeat it is considered a function

In the given set no x values repeat therefore it is a function

Answer:

Yes.

Step-by-step explanation:

Each input has exactly one output. Therefore, this is indeed a function.

On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?
1:64
1:5
1:32
1:12

Answers

Answer:

1 : 64

Step-by-step explanation:

We require the dimensions to be the same units

1 foot = 12 inches , then

85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches

Scale is then

16 in : 1024 in ( divide both parts by 16 )

= 1 : 64

What is The answer , what goes in the QR

Answers

may be QR also equal to 34

20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5

Answers

Cono Bueno no entiendo

On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons of gas with us the average gas mileage for Stephanie car?

Answers

Answer:

0.0428 miles per gallon

Step-by-step explanation:

On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons

Given data

Distance driven = 280miles

Fuel used= 12 gallons

Hence the gas per mile is expressed as

Gas per mile= 12/280

Gas per mile= 0.0428 miles per gallon

Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error

Answers

Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.

How many feet is it from goal line to goal line on a regulation football field
that is 100 yards long? It is measured in the

A. tens
B. thousands
C. millions
D. hundreds

Answers

Answer:

D. hundreds

Step-by-step explanation:

if a football field is 100 yards long then it is 300 feet long and that is in the hundreds

22 dividido en 3 es?

Answers

Answer:

Step-by-step explanation:

7.3

Answer:

7.3

Step-by-step explanation:

22/3 = 22/3

(Decimal: 7.333333)

Simplify (6x^2 − 8x) ÷ (2x) step by step
a. 2x − 3
b. 2x + 3
c. 3x − 4
d. 3x − 8

Answers

Answer:

3x - 4

Step-by-step explanation:

(6x^2 − 8x) ÷ (2x) =

(6x^2)/2x - 8x/2x =                 

3x - 4

Answer:

(C). 3x - 4

Step-by-step explanation:

It will be easily to break this down so,

6/2=3

x^2/x=x

therefore, 6x^2/2x = 3x

Minus stay minus

8/2 = 4

x/x=1

therefore, 8x/2x=4

If we put it all together,

3x - 4

if this helps you, please give brainliest!

15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.

Answers

Answer:

221cm squre

Step-by-step explanation:

which veal represents the functions ?
A. graph A only
B. graph D only
C. graph B and graph D
D. graph C and graph D

Answers

hola quien habla español bueno ya no Adios :)

Answer:

C.(B and D

Step-by-step explanation:

A table tennis ball has a radius of 2 cm. There are 3 table tennis balls stacked on top of one another in a cylinder that has the same diameter as the table tennis balls. The table tennis balls reach the top and bottom of the cylinder. How much volume is left inside the cylinder when the container is full?

Answers

Answer:

Volume left = 16π cm³ or 50.265 cm³

Step-by-step explanation:

Let's first find the surface area of the tennis ball.

S.A = (4/3)πr³

Radius of a ball = 2 cm

Thus;

S.A = (4/3)π(2)³

S.A = 32π/3

Since there are 3 radius balls that will make the cylinder full, then;

Surface area of 3 balls = 3 × 32π/3 = 32π

Now, formula for volume of cylinder is;

V = πr²h

r = 2 cm

h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)

Thus;

V = π × 2² × 12

V = 48π

Thus;

Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³

15 POINTS FOR WHO WILL ANSWER


You are going on a road trip with your family in the winter break, like you did last year .Your family is wondering which car you used for the trip was faster, your mother’s sedan car or your father’s car SUV

Last year, when your father filled the tank, he recorded the miles on the SUV as 24,033 miles. He paid 83.53$ to fill up the empty gas tank of the SUV. This year, You’ve decided to take your mother’s sedan car. When she filled the tank, it recorded the miles as 15,004. It took 71.98$ to fill up the vehicle’s empty gas tank



Which car is faster? And use the graph

Answers

Answer:

The 24,003 is the fastest

SUV would be faster

The distance around a circular park is 176 yards. What is the area of the park? Use 22/7 for π.

Answers

Answer:

2464 yd²

Step-by-step explanation:

Use the circle circumference formula: 2πr

2·[tex]\frac{22}{7}[/tex]·r=176

[tex]\frac{44}{7}[/tex]r=176

r=176·[tex]\frac{7}{44}[/tex]

r=28

Area of circle formula: πr²

[tex]\frac{22}{7}[/tex]·r²

[tex]\frac{22}{7}[/tex]·28²

[tex]\frac{22}{7}[/tex]·784

=2464 yd²

In circle F with mEHG = 42, find the mEFG.

Answers

Answer:

∠EFG=2×∠EHG

∠EFG=2×42

∠EFG=84°

so,m∠EFG=84°

------------------------

hope it helps...

have a nice day!!

Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

x = 135°

Step-by-step explanation:

4 sides and the diagonal are the same.

Therefore, it is square with each interior angle = 90°

The diagonal bisects the interior angle to 45° , 45°

x + 45° = 180°                [ straight line angle ]

x = 180 - 45 = 135°

Help please help 50 points!!!!! no links or i will report if you know how to solve just answeer pllllease !!

Answers

Answer:

39.6 degrees

Step-by-step explanation:

There are 176 baseball answers out of 1600

There are 360 degrees in a circle

Multiply the fraction of baseball responses by the degrees in a circle

176/1600 * 360

198/5

39.6 degrees

work out the m and c for the line: y=x-7

Answers

Answer:

Step-by-step explanation:

Compare the given y = x - 7 to the general slope-intercept formula

                                 y = mx + b

Here the slope is 1 and the y-intercept, b, is -7.

Answer:

Step-by-step explanation:

Slope - y intercept form : y = mx +c

y = x - 7

m = 1

c = -7

Please help (add work/reasoning if you can)

Answers

Answer:

A

[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]

A is the right answer

What is the value of y?
O A. 36°
O B. 72°
C. 54°
O D. 1080

Answers

sorry but can u show a picture of y?

Answer:

but where is que plz show your que

Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth.

Answers

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

----------------------------------

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

find the area of the irregular figure. 2in. 5in. 2in. 4in. 4in. 3in. 3in.​

Answers

The shape can be split into 3 separate shapes:

On the left side a square 3 x 3 = 9 square inches.

The middle rectangle that is 2 x 5 = 10 square inches

The bottom rectangle which is 4 x 4 = 16 square inches

Total area = 9 + 10 + 16 = 35 square inches

Add.
3 7/11 + 9 6/11
Write your answer as a mixed number in simplest form.

Help

Answers

Answer:

13 2/11

Step-by-step explanation:

40/11+105/11

145/11

13 2/11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]

[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]

[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]

[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]

[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]

[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]

[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]

[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]

[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]

[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]

[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]

[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

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