What is the area, in square feet, of the shaded part of the rectangle below?

What Is The Area, In Square Feet, Of The Shaded Part Of The Rectangle Below?

Answers

Answer 1
Answer:  208

===============================================

Work Shown:

A = area of the rectangle

A = length*width

A = 16*17

A = 272 sq ft

B = area of triangle

B = base*height/2

B = 16*8/2    ..... note that 17-9 = 8

B = 16*4

B = 64 sq ft

C = area of shaded trapezoid

C = A - B

C = 272 - 64

C = 208 sq ft

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

Alternative Method:

Apply the trapezoid area formula

b1 = 17 and b2 = 9 are the parallel bases

h = 16 is the height perpendicular to either base

A = h*(b1+b2)/2

A = 16*(17+9)/2

A = 16*(26)/2

A = 16*13

A = 208 sq ft


Related Questions

The price of a new home is $350,000. The value of the home appreciates 2% each year. How much will the home be worth in 10 years?

Exponential function

Answers

Answer:

$420,000 would be your answer

Step-by-step explanation:

What is the quotient of 1.888\times 10^91.888×10 9 and 5.9 \times 10^65.9×10 6 expressed in scientific notation?

Answers

Given:

The expressions are [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex].

To find:

The quotient of [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex] expressed in scientific notation.

Solution:

Quotient of [tex]1.888\times 10^9[/tex] and [tex]5.9\times 10^6[/tex] is:

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=\dfrac{1.888}{5.9}\times \dfrac{10^9}{10^6}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=0.32\times 10^{9-6}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=0.32\times 10^{3}[/tex]

In the scientific notation, the first number is between 1 to 10. So, 0.32 can be written as [tex]\dfrac{3.2}{10}[/tex].

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=\dfrac{3.2}{10}\times 10^{3}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=3.2\times 10^{3-1}[/tex]

[tex]\dfrac{1.888\times 10^9}{5.9\times 10^6}=3.2\times 10^{2}[/tex]

Therefore, the value of the quotient is [tex]3.2\times 10^{2}[/tex].

HELP FOR BRAQINLIETS
T

Answers

Answer:

A -3-[tex]\sqrt{5\\} \\[/tex]

Step-by-step explanation:

I use the quadratic formula to solve

Answer:

D. -6 + 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The answer is D because to solve for X you use the quadratic formula which is...

-b±[tex]\sqrt{b^{2} - 4ac}[/tex]

now just plug in which would be

-6±[tex]\sqrt{6^{2} - 4(1)(4) }[/tex]

then solve and the final answer would be

-6 ± 2[tex]\sqrt{5}[/tex] but there is only one answer for this which is a positive that is how I got  

-6 + 2[tex]\sqrt{5}[/tex]

HELP ILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

1 whole is same as 100%

1/2 a half is the same 50%

1/4 is the same as 25%

1/8 is the same as 12.5%

Answer:

1.) 50

2.)25

3.) 1/8

Step-by-step explanation:

divide everything

Fernando cleans pools for the summer for $25 an hour plus a supply fee of $15.

Which equation models the cost for having Fernando clean a pool for x hours and how much will a 3-hour cleaning cost?

A
y=(25+15)+x;43

B
y=15x+25;70

C
y=25x+15;90

D
y=(25+15)x;120

Answers

Answer:

So, the required option is (B) 15x+25 ; 70

Step-by-step explanation:

grandfath
3. My sister is 12 years older than lam Our combined age is half the age of our
grandfather. Our grandfather is 68 years old. How old am​

Answers

Answer:

11

Step-by-step explanation:

First, write an equation to represent the situation.

34 = 2a + 12

This equation works because your combined age is half of 68, so 34. If your age is a, then yours sister's age is a + 12. if you add your age to your sister's, you get 2a + 12.

Now just solve for a.

34 = 2a + 12

First, subtract 12 from both sides.

22 = 2a

Then divide both sides by 2.

11 = a

So you are 11 years old. If you need to check your work, your age (11) plus your sister's age (11 + 12, which is 23) is 34, which is half of your grandfather's age.

PLEASE ANSWERRR ONE OR MORE OF THE QUESTIONS, MORE OR ONLY ONE IS FINE

Answers

Answer:

b

Step-by-step explanation:

I dunno how to explain bdjwnfjrndisnf

Answer:

First problem: sorry I dont know.

Second problem: C. 384 square inches

Third Problem: B. 215 cm2

Fourth Problem: C. 60 cubic units

Hope this helps!

I need help with please​

Answers

Answer:

ask your mom or dad buddy

Step-by-step explanation:

Roger is buying a new pair of shoes for 25% off. If the original price of the shoes was $80.00, how much money is Roger saving on the shoes? A. $2.00
B. $20.00
C. $6.00
D. $60.00​

Answers

The answer is D :) hope this helps

Kendall is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is
12 meters and the diagonal from one corner to the opposite corner is 15 meters.
How much garland will Kendall need for the length of the ceiling?


Answers

Step-by-step explanation:

g(x) is a polynomial that has a leading coefficient of 3, and the following roots -1,1,2. Write g(x) in standard form

Answers

The standard form of the polynomial is written as:

p(x) = 3*x^3 - 6*x^2 - 3x + 6

How to write the polynomial in standard form?

We know that a polynomial of degree N is with the zeros {x₁, x₂, ...} and a leading coefficient a can be written as:

p(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we know that the leading coefficient is 3, and the zeros of the polynomial are {-1, 1, 2}

Then we can write:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

Now we need to expand that, we will get:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

p(x) = 3*(x^2 + 1*x + x*(-1) + 1*(-1))*(x - 2)

p(x) = 3*(x^2 - 1)*(x - 2)

p(x) = 3*(x^3 + x^2*(-2) - x + 2)

p(x) = 3*x^3 - 6*x^2 - 3x + 6

That is the polynomial in standard form.

Learn more about polynomials:

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Someone please help will mark as brainliest

Answers

The answer is D lolllll

Answer: the answer is C.

Which equation has these ordered pairs as solutions?
(1,7), (3,9), (5,11)

Answers

I haven’t don’t these in a while but I think it’s (3,9)

can someone help me pleaseeee? whoever answers first gets the brainliest

Answers

Yeah the answer is y =5

Find the surface area of the triangular prism shown below. 5ft 5ft 3ft 7ft 8ft .

Answers

Answer:

30ft

Step-by-step explanation:

help me with this math question please I'm giving away brainliests​

Answers

Answer:

Horiz asym y=-4/5

Vertical asym x=0

x intercept (5,0)

y intercept : none

Step-by-step explanation:

Help!!!! No links PLEASE!!!

Answers

Answer:

1. R

2. K

3. (3,4)

4. (0,0)

If x = 36 when y = 40 and x varies directly as y, what is x when y = 80?

Answers

Since y = 80, 80/40 = 2 so 36 x 2 = 72

x = 72

TRUE OR FALSE?
All square roots can be simplified to a decimal answer and still be equivalent.

Answers

THE ANSWER IS TRUE :P

Step-by-step explanation:

All the square roots can be simplified to a decimal answer and still be equivalent.

What is Square Root?

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

We know that every number has a square root.

All the numbers does not have a perfect square root.

The perfect square roots does exists for numbers 1, 4, 9, 16, 25, .......

All the other numbers in between has the square roots which are decimal numbers.

Hence, all square roots can be simplified to a decimal answer and still be equivalent.

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I need help on this angles on a straight line problem, it involves algebra. I don't need an explanation just the answer please.

Answers

Answer:

m<COD = 46°

Step-by-step explanation:

All the angles are supplementary to each other, so we can combine them and set them equal to 180° to solve for x:

(3x+88)°+(x+36)°+(2x-4)°=180°

3x+88+x+36+2x-4=180

6x+120=180

6x=60

x=10

Since we know x=10, then <COD is 10+36 = 46°

Answer:

∠COD = 46°

Step-by-step explanation:

∠AOB (or straight line) = 180°

3x + 88° + x + 36° + 2x - 4° = 180°

combine like terms:

6x + 120° = 180°

subtract 120° from both sides of the equation:

6x = 60°

divide both sides by 6:

x = 10°

∠COD = 10° + 36° = 46°

The median of a data set is 100. Which statement about the data set must be true? A. The data set has an average of 100. Ов. B. Half the data values are greater than 100. O C. The minimum value is 80 and the maximum value is 120. . OD. Only one of the data points in the data set has a value of 100.​

Answers

Answer:

Step-by-step explanation:

A. The data set has an average of 100.  There's nothing to indicate this.  F

**B. Half the data values are greater than 100.  T:  Definition

C. The minimum value is 80 and the maximum value is 120.  There's nothing to indicate that this is true.  F

D. Only one of the data points in the data set has a value of 100.  There's nothing to indicate this.  F

What is the radius of a circle whose area is 36 π cm squared?

Answers

Answer: 3.39

Step-by-step explanation: maybe

The frequency of a male cricket’s chirp is related to the outdoor temperature. The relationship is expressed by the graph, where y is the temperature in degrees Fahrenheit and x is the number of chirps the cricket makes in 14 seconds. Write an equation for the line in point-slope form.

Answers

y−60=1(x−20)
y−40=x
y−50=1(x−10)
y−45=1(x−5)
or
y−55=1(x−15)

A data set is made up of the values 6, 6, 8, 12, and 18.
The table shows the distance between each value and the mean of 10.

What is the mean absolute deviation (MAD) of the data set?

Answers

Answer: The answer would be B which is 4

Step-by-step explanation:

I took the quiz and got it right.

Solve the quadratic equation by completing the square.
x^2+2x+5=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Form:

Solution:

Answers

Answer:

[tex] x = - 1 + 2i, \: \: - 1 - 2i[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 2x + 5 = 0 \\ \\ {x}^{2} + 2x + 1 + 4 = 0 \\ \\ {x}^{2} + 2x + 1 = - 4 \\ \\ {(x + 1)}^{2} = - 4 \\ \\ (x + 1) = \pm \sqrt{ - 4} \\ \\ x + 1 = \pm 2i \\ \\ x = - 1\pm 2i \\ \\ x = - 1 + 2i, \: \: x = - 1 - 2i \\ \\ x = - 1 + 2i, \: \: - 1 - 2i[/tex]

When rolling a 12-sided number cube, find the probability of
Rolling a 12.

Answers

Answer:

umm...1/12 of a chance

Step-by-step explanation:

Are you sure there isnt a graph that goes along with this?

The histogram shows the weights, in pounds, of checked luggage on a flight.

A graph shows weight of a bag (pounds) labeled 12 to 64 on the horizontal axis and number of bags on the vertical axis. 1 bag weighs 12 to 16 pounds. 4 bags weigh 16 to 20 pounds. 5 bags weigh 20 to 24 pounds. 6 bags weigh 24 to 28 pounds. 5 bags weigh 28 to 32 pounds. 4 bags weigh 32 to 36 pounds. 3 bags weigh 36 to 40 pounds. 1 bag weighs 40 to 44 pounds. 0 bags weigh 44 to 48 pounds. 1 bag weighs 48 to 52 pounds. 1 bag weighs 52 to 56 pounds. 1 bag weighs 56 to 60 pounds. 0 bags weigh 60 to 64 pounds.
The median weight of a checked bag is 27.5 pounds. How does the mean of the data most likely compare to the median?

The mean is most likely less than 27 pounds.
The mean is most likely exactly 27.5 pounds.
The mean is most likely about 28 pounds.
The mean is most likely more than 28 pounds.

Answers

Answer:

C, the mean is most likely about 28 lbs.

Step-by-step explanation:

The histogram shows the weights, in pounds, of checked luggage on a flight. The median weight of a checked bag is 27.5 pounds.

thats the answer because you are rounding 27.5

Hope this is helpful! :)

Have a nice day!

Answer:

c give the other person branlist

Step-by-step explanation:

Find the length of LA
Triangle proportionality

Answers

Answer:

15

Step-by-step explanation:

4 x __ = 12

the blank would be 3, once you did it on one side you have to do it on the other side too

5 x 3 = 15

Another way you can do it is by...

[tex]\frac{4}{12}[/tex] = [tex]\frac{5}{x}[/tex]

solve for x (cross multiply)

Answer:

15

Step-by-step explanation:

CO : CL = OR : LA

* substitute the side letters with the given side lengths *

( let AL = x )

4 : 5 = 12 : x or

[tex]\frac{4}{5} =\frac{12}{x}[/tex]

now we solve for x by cross multiplying

4 * x = 4x

12 * 5 = 60

now we have 4x = 60

step 2 divide each side by 4

4x / 4 = x

60 / 4 = 15

we're left with x = 15

hence LA = 15

A number has a remainder of 1 when divided by 4 a remainder of 2 when divided by 5 and a remainder of 3 when divided by 6. What is the smallest number that has the above properties?

Answers

Answer:

Smallest number with the properties in the question = 57

Step-by-step explanation:

Let's first find the LCM of the three numbers which it is divided by which are 4,5,6.

LCM of 4,5 and 6 is 60.

We are told that;

The number has a remainder of 1 when divided by 4

The number has a remainder of 2 when divided by 5

The number has a remainder of 3 when divided by 6

In all 3 cases, the difference between the divisor and the remainder is 3.

This means that the smallest number in that has the properties in the question must be; 60 - 3 = 57


Which representation shows y as a function of x?

Answers

Ur right it’s B you’re smart
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