What is the area of the figure?

What Is The Area Of The Figure?

Answers

Answer 1

Answer:

58.5 ft²

Step-by-step explanation:

The figure is made up of a square, triangle and rectangle. Thus, the area of the figure is the sum of the areas of the square, triangle and rectangle.

Let's find the area of each!

Square

Area of square= side ×side

Area

= 3(3)

= 9 ft²

Triangle

Area of triangle= ½ ×base ×height

Base= 11 ft

Height= 3 ft

Area

= ½(11)(3)

= 16.5 ft²

Rectangle

Area of rectangle= length ×breadth

Area

= 3(11)

= 33 ft²

Area of figure

= 9 +16.5 +33

= [tex]\textcolor{red}{58.5 \: {\text{ft}} {}^{2} }[/tex]


Related Questions

Select all the shapes that are cross sections of a cylinder.


A line
B oval
C triangle
D rectangle
E circle

Answers

Step-by-step explanation:

only the circle

as cylinder is neither oval nor triangle not a rectangle..

so cylinder has circle as the cross section

Answer:

This is for a different question but hope this helps too!

Step-by-step explanation:

if 60% of class is girls, and there are 30 students in the class. How many boys are in class?

Answers

Answer:

12

Step-by-step explanation:

60% of 30 is 18 (girls)

40% of 30 is 12  (boys)

Answer:

12 boys

Step-by-step explanation:

60% is the same as 6/10, and if you make the denominator 30, you must make the denominator multiply by three as well as the numerator.  this makes the number 18/30 girls in a class. if you subtract the girls from the total number of people, you get 12 boys, or 40% of the class.

you can also find that 100% - 60% = 40%, which is equal is equal to 4/10. After it's multiplied by 3 again, it becomes 12/30 or 12 boys.

Help picture below problem 13

Answers

Answer:

the measure of 3 is 80 because its l is parlell to r so 80 will be vertical with 3

Step-by-step explanation:

A group of researchers wants to estimate the difference in time it takes to heal enough to return to work after knee replacement surgery using two different physical therapy plans. They plan to use the data in the following table to construct a two-sample t interval.

Therapy plan A B
Mean healing time (weeks) 8.2 6.8
Standard deviation (weeks) 1.5 0.9
Number of participants 45 60

Which of the following are conditions for this type of interval?

Choose all answers that apply:


A. The times for each participant are independent of each other.


B. The distributions of times in the population are approximately normal.


C. Each sample includes equal numbers of men and women.

Answers

Answer:

A

Step-by-step explanation:

Got it right on Khan Academy.

Hope this helps!

Please mark as brainliest!

Use a net to find the area of the entire surface of the solid.​


A rectangular prism made of unit cubes. The length is 5 unit cubes, width 4 unit cubes, height 3 unit cubes.


The surface area of the prism is

square units.

Answers

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2(5\cdot 3)}~~ + ~~\stackrel{\textit{left and right}}{2(3\cdot 4)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5\cdot 4)}}\implies 30+24+40\implies 94[/tex]

The area of the entire surface of the solid given is 94 units².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a rectangular prism.

It consists of 3 pairs of identical rectangular sides.

Area of a rectangle = length × width

Find the area of each rectangular sides to find the total area.

Total area = (5 × 3) + (5 × 3) + (5 × 4) + (5 × 4) + (4 × 3) + (4 × 3)

                 = 15 + 15 + 20 + 20 + 12 + 12

                 = 94 units²

Hence the area of the prism given is 94 units².

Learn more about Surface Area here :

https://brainly.com/question/2835293

#SPJ2

Find the sum of the arithmetic sequence 1, 4, 7, 10, ...,94; n=32

Answers

Answer:

Step-by-step explanation:

hello :

the sum is : Sn = n/2(U1 + Un )     and U n = U1+(n-1)r    

given :    U1 = 1      r=4-1=7-4=...= 3      n= 32

so :  U 32 = 1+(32-1)3= 94

S32 = 32/2 (1+94) = 1520

3.
Find c when a = -4 and b = 2
a-7
C=-
b

Answers

Answer:

[tex]c = 15[/tex]

Step-by-step explanation:

[tex]b = 2a - 7[/tex]

[tex]b = 2(-4) -7[/tex]

[tex]b = (-8)-7[/tex]

[tex]b = (-15)[/tex]

[tex]c = -(-15)[/tex]

[tex]c = 15[/tex]

$5000 principal earning 4% compounded annually, 4 years

Answers

Answer: $7401.22

Step-by-step explanation: it’s right just trust me

What is the rate of change for the equation x+0.5y=5

Answers

Answer:

Step-by-step explanation:

The rate of change can be found by using the difference quotient formula and in this case it would be -0.5

┍━━━━━»•» «•«━━━━━━»•» «•«━┑

[tex]f (x)= x^{2},(2, 3) -2[/tex]

The gneral rate of change can be found by using the difference quitieont formula. To find the average rate of change over an interval, enter a function with an interval: f (x)= x^{2},(2, 3) -2

┍━━━━━»•» «•«━━━━━━»•» «•«━┑

HOPE THIS HELPS

Write an equation for a perpendicular to y = - 2 x 2 and passing through the point (-4,-5)
Y=

Answers

Hello!

[tex]======================================[/tex]

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

So the slope of the given line is -2

Flop it over:

-1/2

Change its sign:

1/2

Now, let's write the equation in point-slope form:

y-y1=m(x-x1)

y-(-5)=1/2(x-(-4)

y+5=1/2(x+4)

y+5=1/2x+2

y=1/2x+2-5

[tex]\bold{y=\displaystyle\frac{1}{2} x-3}}[/tex]

[tex]==========================================[/tex]

Notes:-Hope everything's clear.Let me know if you have any questions!Enjoy your Day!Answered by:-

~DnomaiD

;)

Help help help help

Answers

Step-by-step explanation:

can you tell me what you don't understand about this ?

because it is really simple, once you understand the transformations of equations.

remember, whatever we do to one side. we have to do also to the other side, so that the information in general stays the same.

(7 - 3x)/2 = 8 multiply both sides by 2

7 - 3x = 16 subtract 7 from both sides

-3x = 9 divide both sides by 3

-x = 3 multiply both sides by -1

x = -3

and that's the whole "secret" about solving an equation.

Answer:

x = -3

Step-by-step explanation:

In the question we are given with an equation that is ( 7 - 3x ) / 2 = 8 . And we have asked to find the value of x .

Solution : -

[tex] \longrightarrow \qquad \: \dfrac{7 - 3x}{2} = 8[/tex]

Step 1 : Multiplying both sides by 2 :

[tex] \longrightarrow \qquad \: \dfrac{7 - 3x}{ \cancel{2} }\times \cancel{2 }= 8 \times 2 [/tex]

On further calculations, We get :

[tex] \longrightarrow \qquad \: 7 - 3x = 16[/tex]

Step 2 : Subtracting with 7 on both sides :

[tex] \longrightarrow \qquad \: \cancel{ 7 }- 3x - \cancel{ 7 }= 16 - 7[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: - 3x = 9[/tex]

Step 3 : Dividing with -3 on both sides :

[tex] \longrightarrow \qquad \: \dfrac{ \cancel{ - 3}x}{ \cancel{-3}} = \cancel{\dfrac{9}{ - 3} }[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 3}}}}[/tex]

Therefore, value of x is -3 .

Verifying : -

Now , we are verifying our answer by substituting value of x in given equation . So ,

( 7 - 3x ) / 2 = 8

[ 7 - 3 ( -3 ) ] / 2 = 8

( 7 + 9 ) / 2 = 8

16 / 2 = 8

8 = 8

L.H.S = R.H.S

Hence, Verified .

Therefore , our answer is valid .

#Keep Learning

Which expression has a value 48?
.A) (4 + 5): 32-9 +3
.B) 4+ 5 • (32 - 9) + 3
.C) 4+ 5.3?(-9+3)
.D) 4+5•3²-9= 3


20 brainly points asap​

Answers

Hey there!

Option A.

(4 + 5) * 3^2 - 9 ÷ 3^2

= 9 * 9 - 9 ÷ 9

= 81 - 1
= 80


Thus, that answer is: [incorrect]

Option B.
4 + 5 * (3^2 - 9) + 3^2

= 4 + 5 * (9 - 9) + 9

= 4 + 5 * (0) + 9

= 4 + 5(0) + 9

= 4 + 0 + 9

= 4 + 9

= 13

Thus, that answer is also [incorrect]

Option C.

4 + 5 * 3^2(-9 ÷ 3^2)

= 4 + 5 * 3^2(-9 ÷ 9)

= 4 + 5 * 3^2(-1)

= 4 + 5 * 9(-9)

= 4 + 5(9) * -1

= 4 + 45 * -1

= 4 - 45

= -41

Thus, that answer is also [incorrect]


Option D.
4 + 5 * 3^2 - 9 ÷ 3^2

= 4 + 5(9) - 9 ÷ 9

= 4 + 45 - 9 ÷ 9

= 49 - 9 ÷ 9

= 49 - 1

= 48

Therefore, your answer is: Option D.

Good luck on your assignment & enjoy your day l!


~Amphitrite1040:)

Answer:

Option D

Step-by-step explanation:

To find out which expression has a value of 48, we need to recall the PEMDAS (where: P = Parenthesis, E = Exponents, M/D = Multiplication or Division, A/S = Addition or Subtraction).

A) [4 + 5] × 3² - 9 ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS

⇒ [9] × 3² - 9 ÷ 3²

Pull the "9" out of the parenthesis

⇒ 9 × 3² - 9 ÷ 3²

Simplify the exponents as PEMDAS

⇒ 9 × 9 - 9 ÷ 9

Multiply the first two terms in the expression as PEMDAS

⇒ 81 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 81 - 1

Finally, simplify the expression.

⇒ 80

⇒ 48 ≠ 80

B) 4 + 5 × (3² - 9) ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS.

We can see here that the expression in the parenthesis includes a constant with a negative sign and an exponent. To simplify the expression, we need to simplify the exponent. Once the exponent is simplified, we can simplify the expression in the parenthesis.

4 + 5 × (3² - 9) ÷ 3²

4 + 5 × (9 - 9) ÷ 3²

4 + 5 × (0) ÷ 3²

Pull the "0" out of the parenthesis

4 + 5 × 0 ÷ 3²

Simplify the exponent as PEMDAS

4 + 5 × 0 ÷ 9

Multiply the middle two terms as PEMDAS

4 + 0 ÷ 9

Divide the last two terms as PEMDAS

4 + 0

Add the two terms in the expression as PEMDAS

4

4 ≠ 48

C) 4 + 5 × 3²(-9 ÷ 3²)

First, simplify the expression in the parenthesis as PEMDAS

⇒ 4 + 5 × 3²(-9 ÷ 3²)

⇒ 4 + 5 × 3²(-9 ÷ 9)

⇒ 4 + 5 × 3²(-1)

*3²(-1) can also be written as 3² × -1*

⇒ 4 + 5 × 3² × -1

Simplify the exponent as PEMDAS

⇒ 4 + 5 × 9 × -1

Multiply the last three terms as PEMDAS

⇒ 4 + 5 × 9 × -1

⇒ 4 + (-45)

Add/Subtract the last two terms as PEMDAS

⇒ 4 - 45

⇒ -41

D) 4 + 5 × 3² - 9 ÷ 3²

Since there are no parenthesis in the expression, we can start simplifying this expression by simplifying the exponents.

⇒ 4 + 5 × 3² - 9 ÷ 3²

⇒ 4 + 5 × 9 - 9 ÷ 9

⇒ 4 + 5 × 9 - 9 ÷ 9

Multiply the second and the third terms as PEMDAS

⇒ 4 + 45 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 4 + 45 - 1

Add/Subtract the terms as PEMDAS

⇒ 4 + 44

⇒ 48

⇒ 48 = 48 ✔✔

In conclusion, we can say that option D is correct because the expression of Option D has a value of 48.

10+500000000 wats the answer

Answers

Answer:

500,000,010

Step-by-step explanation:

The 10 would be added to the last 2 digits (00) of the number. Therefore, the last 2 digits (00) plus 10 would be 10. The remainder of the number would remain the same, making the answer: 500,000,010

3/5 + 1/4 = ?
Anyone know what the answer is?

Answers

17/20


you want to get the bottom numbers the same by multiplying:)
5x4= 20 , 4x5= 20
since you multiplied the fraction with the denominator 5 by 4 , you also multiply the number on top by 4
3x4= 12
and since the other fraction with the denominator 4 was multiplied by 5 , you multiply the number on top by 5
1x5= 5
now you add those 2 numbers up
5+12= 17
you put that number on top of the fraction: 17
and take the number you ————
got from the first step and
put it on the bottom: 20

and you get 17/20 or .85

Given ∠4≅∠14, which lines, if any, must be parallel based on the given information? Justify your conclusion. a∥b, Converse of the Same-Side Interior Angles Theorem a∥b, Converse of the Alternate Interior Angles Theorem a∥b, Converse of the Corresponding Angles Theorem not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.

Answers

Answer:

a∥b, Converse of the Alternate Interior Angles Theorem

A college is building a new basketball court that is 88 feet long and 40 feet wide, but the wood for the court comes only in 8-meter planks that are 10 centimeters wide. How many planks are needed to surface the court?​

Answers

Answer:

2816

Step-by-step explanation:

Cm to m is divide by 100

10 / 100 = 0.1.

0.1 x 8 = 0.8

40 x 88 = 3520

3520 / 0.8 = 2816

Round each amount to the nearest hundred to find an estimate of:

3891 ÷ 289

Answers

Answer:

  13

Step-by-step explanation:

Estimates are often made by rounding the operands to 1 or 2 significant digits. Here, that is accomplished by rounding each number to the nearest hundred.

__

Rounded to hundreds, the problem becomes ...

  3900 ÷ 300

  = 39/3 = 13

An estimate of the quotient is 13.

Help picture below problem 11

Answers

The sum of all the angles of any triangle is 180 degrees

     -->  Therefore the missing angle is:

                  x = 180 - 60 - 75 = 45

Hope that helps!

The sum of the angles of a triangle is 180 degrees

   --> to put that into mathematical terms

               

                       Angle O + Angle K + Angle C = 180

                                 60 + 75 + Angle C = 180

                                         Angle C = 45 degrees

Therefore the missing angles' measure is 45 degrees

Hope that helps!

In a town of 117 000 people, 14000 like to
Watch hockey. What percent of the town's
Populations like to watch hockey?

Answers

Divide number that like hockey by population then multiply by 100:


14,000 / 117,000 = 0.11965

0.11965 x 100 = 11.965%

Round up to 12%

Can somebody please help me thank you

Answers

Answer: <

Step-by-step explanation:

53688 < 53689

< means less than
Hence it is read as 53688 is less than 53689

If x = 12 cm, what is the volume of the prism?

cm3

Answers

Answer:

4320

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Given the equation, what is the center and radius of the circle?

(x-7) ^2 + (Y-4) ^2= 64 ^2

Answers

We are given the equation of circle (x - 7)² + (y - 3)² = 64² , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;

So, consider the equation of circle ;

[tex]{:\implies \quad \sf (x-7)^{2}+(y-4)^{2}=(64)^{2}}[/tex]

On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows

Centre = (7, 4)Radius = 64 units

a football player can run 13.5 yards in 4.5 seconds. which equation is used to find r, the number of yards he can run in 1 second

Answers

Answer:

3

Step-by-step explanation:

You just divide 13.5 by 4.5, and you get 3 yards per second.

Find the domain & range of the relation

{(-5,13), (6,18), (2,-7), (1,4), (-3,-1)}

Answers

Answer:

Domain: -5,6,2,1,-3

Range: 13,18,-7,4,-1

Step-by-step explanation:

Domain is the independent value/ x / input

Range is the dependent value/ y / output

Someone help me ASAP !!!!

Answers

Answer:

ok sure wait

Step-by-step explanation:

100 points and Brainliest for whoever answers this question correctly first.

No, this is not a test.
Yes, I would appreciate the quickest answer possible.

Answers

Answer:

[tex]\dfrac{1}{102}[/tex]

Step-by-step explanation:

Average rate of change of function [tex]f(x)[/tex] over the interval [tex]a \leq x \leq b[/tex] is:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given function:

[tex]f(x)=\dfrac{2x-2}{5x-6}[/tex]

Given interval [tex]0\leq x\leq 8[/tex] :

when [tex]x=0[/tex]:

[tex]f(0)=\dfrac{2(0)-2}{5(0)-6}=\dfrac13[/tex]

when [tex]x=8[/tex]:

[tex]f(8)=\dfrac{2(8)-2}{5(8)-6}=\dfrac{7}{17}[/tex]

Therefore, average rate of change:

[tex]\dfrac{f(8)-f(0)}{8-0}=\dfrac{\frac{7}{17}-\frac13}{8}=\dfrac{1}{102}[/tex]

When asked to factor the trinomial x^2 - 18x + 81, a student gives the answer (x - 9)(x + 9). Which of the following statements is true?

A. The answer is incorrect; the trinomial cannot be factored.

B. The answer is incorrect; the plus sign should be a minus sign.

C. The answer is incorrect; the minus sign should be a plus sign.

D. The answer is correct.

Answers

Answer:

B.The answer is incorrect; the plus sign should be a minus sign.

Step-by-step explanation:

[tex]x^2-18x+81\\\\=x^2-2\cdot 9x +9^2\\\\=(x-9)^2\\\\=(x-9)(x-9)[/tex]

Pls help im struggling :p

Answers

When creating a histogram it is best to create a range for the different variables that are available.

So for the sake of covering all the possible ranges from 1 - 22, let's divide it into 5 categories.

0 - 5        6 - 10   11 - 15   16 - 20   21 - 25

Now that we have set ranges for the different variables, we then find the frequencies.

0 - 5  : 3 

6 - 10 : 2

11 - 15 : 3

16 - 20 : 1

21 - 25 : 3

Now that we have all the values we can then create our histogram.

Taken from https://brainly.com/question/12197869

All rights reserved.

What fraction is equivalent to six tenths and has a denominator of 100?

Answers

Answer:

6 = 6/10

Step-by-step explanation:

.6 = 6/10 , by definition. = 3/5 (reduced -- divide numerator and denominator by 2.

Answer:

[tex]\dfrac{60}{100}[/tex]

Step-by-step explanation:

Six tenths:

[tex]\dfrac{6}{10}[/tex]

where 6 is the numerator and 10 is the denominator

We want the denominator to be 100, so how do we convert 10 into 100?

We multiply by 10, since 10 x 10 = 100

When working out equivalent fractions, we must remember to do the same operation to both the numerator and denominator.  Therefore, we should multiply both by 10:

[tex]\dfrac{6 \times 10}{10 \times 10}=\dfrac{60}{100}[/tex]

Therefore, the fraction that is equivalent to six tenths and has a denominator of 100 is:

[tex]\dfrac{60}{100}[/tex]

(sixty hundredths)

If the diameter of a circle is 10 inches, what is the area of a circle?

Answers

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

because area is pi r^2

Answer:

78.54 or 25π (if in terms of pi)

Step-by-step explanation:

A = πr² = π*5² ≈ 78.53982

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