ABCD is a rectangle, with M the midpoint or BC and N the midpoint of CD. If CM=4 and NC=5, what percent of the area of the rectangle is shaded

Answers

Answer 1

Answer:

87.5%

Step-by-step explanation:

Given:

⇒ ABCD is a rectangle, with M the midpoint of BC and N the midpoint of CD.⇒ CM = 4 and NC = 5.

Area of triangle NCM

⇒ 1/2 × base × height

⇒ 1/2 × CN × CM

⇒ 1/2 × 5 × 4

⇒ 10cm²

Length of rectangle ⇒ 10

Breadth of the rectangle ⇒ 8

Area of rectangle ⇒ Length × Breadth

Area of rectangle ⇒ 10 × 8 = 80cm²

Area of shaded region ⇒ Area of rectangle  -  Area of triangle

Area of shaded region ⇒ 80 - 10 = 80cm²

Percentage of the shaded region = Shaded/complete rectangle × 100

⇒ 70/80 × 100 = 87.5

The percent of the area of the rectangle shaded is therefore 87.5%.


Related Questions

Find the GCE.
10rs, 35rst

Answers

The GCE of 10 and 35 is 5

six times the sum of a number and 8 equals 2

Answers

Answer:

24

Step-by-step explanation:

6*8x:2

48x:2

x:48/2

x:24

David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?
A. $30
B.$45
C$60

Answers

Answer:

$60

Step-by-step explanation:

3x20=60

It’s 60 because 20x3 is 60

what is 4½ pls anwser​

Answers

Answer:

9/2

Step-by-step explanation:

Answer:

4.5 or 9/2

Step-by-step explanation:

HELP ME!!!!!!!!!!!!!!

Answers

Answer:

i wanna say it would be 1,735-3%y

What is the x- value of the midpoint between A (-8,-6) and B (0, 6)?

Answers

Answer:

Step-by-step explanation:

Take average of the x-coordinates of A and B.

(-8+0)/2 = -4

x-coordinate of midpoint = -4

The required x value of the midpoint between A(-8, -6) and B (0, 6) is -4.

Given that,
To determine the x value for the midpoint between A (-8,-6) and B (0, 6).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. Where x coordinate of the graph is called an abscissa and y coordinate of the graph is called ordinate.

What is the midpoint?

The midpoint is that point of the line which has an equal distance from both ends of the line.

the x  value of the midpoint between A(-8, -6) and B (0, 6) is given by,
x = ( x1 + x 2) / 2
x = ( - 8 + 0 ) / 2
x = - 8 / 2
x = -  4

Thus, the required x value of the midpoint between A(-8, -6) and B (0, 6) is - 4.

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2


Find the slope of the line passing through the points (-2,3) a
and
(-9,6).

Answers

Answer:   Slope = -3/7

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

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (6-3)/(-9-(-2))

m = (6-3)/(-9+2)

m = 3/(-7)

m = -3/7

This means each time you go down 3 units, you go to the right 7 units.

Slope = rise/run = -3/7

rise = -3 and run = 7

For the past three years, Nigel has grown 1 1/5 inches each year. How many total inches has he grown in the past three years?

Answers

Answer: 3.6? I believe is the right answer.

:D

Step-by-step explanation: 1 1/5 times 3 is how I got 3.6

Answer:

3 3/5

Step-by-step explanation:

Nigel would have grown 3 3/5 inches in the past 3 years

( 6/5 x 3/1 )

( =18/5 )

and then you would be simplifying 18/5

and that's how you would get your answer 3 3/5

.......Can I please be marked Brainliest

please thank you:)

Joseph invested $6,700 in an account paying an interest rate of 5.2% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,950?

Answers

Answer:

Step-by-step explanation:

A=P(1+r/c)^(ct), where a is final value, P is the initial value or principle, r is the interest rate, and c is the number of compounding periods in a year.

ln(A/P)/ln(1+r/c)=ct so

t =(ln(A/P)/(cln(1+r/c)), given A=13950, P=6700, r=0.052, c=4

t=(ln(13950/6700))/(4ln(1.013))

t=14 years

Answer:

14  

Step-by-step explanation:

The local news is conducting a poll of the residents' opinions regarding a new traffic law that is being proposed. At the end of a news segment, viewers had the opportunity to dial in or use social media to choose whether they agree or disagree with the law. A large sample size was represented, and this poll was repeated again one week later with similar results. When working with this data, what best applies?

Answers

Options :

a. The surveys are biased because people chose to respond or not.

b. Because of the large sample size, the results are most accurate of all members of the community.

c. The same sampling methods were used for both polls, demonstrating reliability.

Answer:

a. The surveys are biased because people chose to respond or not

Step-by-step explanation:

When surveys incorporates a large number of people of a whole population, coupled with the fact that subjects of the survey or research are not compelled to make a choice or air their opinion. In the scenario above, opinion about the new policy is to be expressed by a large audience whereby there is a high tendency that some will no interest in the news nor its content. Leaving only those audience who are more interested and likely the most affected by the policy to respond. This way there will be no distinction between those who disagree and those who fail to respond. It would be more advisable to employ a sample audience who are interested and woykd give a verdict on the policy.

Chris received $50,000 from his grandparents as a graduation gift. So, he has decided to invest the money
to pay his living cost at a college, which is $3,000 a year. There are two options: a bond that pays 12% and
a CD that pays 5%. How much should he invest in the bond? [Please round your answer to 2 decimal places.]

Answers

Answer: $7142.86

Step-by-step explanation:

Let the amount to be invested in the bond be represented by y.

Based on this, the amount to be invested in the CD will be: = 50000 - y.

From the information given, yearly interest on bond is 12%, this will be:

= 12% × y = 0.12 × y = 0.12y

Also, interest on CD will be:

= 5% × (50000 - y)

= 0.05(50000 - y)

Then, the equation to get the amount to be invested in bond will be:

0.12y + 0.05(50000 - y) = 3000

0.12y + 2500 - 0.05y = 3000

0.12y - 0.05y = 3000 - 2500

0.07y = 500

y = 500/0.07

y = 7142.8571

y = 7142.86

The amount to be invested in bond will be $7142.86

Find an equation of a line with slope -4 and y-intercept 9. y =

Answers

Answer:

Y= -4X+9

Step-by-step explanation:

solve the equation by the help of the standard equation Y = MX + C

where M is the slope and C is the Y intercept

The independent variable is represented by the symbol(s)
1. Y
2. xy
3. Both A and B
4. X
5. None of the above​

Answers

Answer:

4

Step-by-step explanation:

because variable is independent

Perform the operation.
(9x2 + 6x – 7) + (-9x - 5)

PLS HELP ASAP PLS

Answers

Answer:

21

Step-by-step explanation:

(9x2 + 6x – 7) + (-9x - 5) = 21

Answer:

The answer is 21

Step-by-step explanation:

I searched it up.


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

The change in y over the change in x between points is the slope. 53-29 over 3-2 is the slope. 24/1 is 24. You need the equation in y=mc+b form. b is the y intercept. (0, -19) is the point from the table containing the y int.. b=-19. Plug 24 and -19 into mc+b. To get y=24x-19

These are 2 questions please help me​

Answers

Answer:

Step-by-step explanation:23

A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?

Answers

Answer:

Number of children in theater   = 94

Number of students   = 46

Number of adults in theater= 47

Step-by-step explanation:

Total seating capacity in the theater = 187

Let us assume the number of students in the theater = m

and assume  the number of children in the theater = 2k

So, the number of adults in theater = Half of number of children = 2k/2 = k

⇒ Number of ( Adults + Children + students) = 187

⇒ k  + 2k + m =  187, or 3k + m = 187

Step-by-step explanation:

the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help ​

Answers

Answer:

3

Step-by-step explanation:

9 divide by 3 is 3 itself so the answer is 3

Answer:
The price one drink is $3.

Explanation:

Let $x be the price of one drink.

10 + 3x = 19

3x = 19 - 10

3x = 9

x = 9/3

x = 3

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4 a pan

Step-by-step explanation:

2 - 1 1/4 = 3/4

two seperated into fourths would look like this

1/4 1/4 1/4 1/4

1/4 1/4 1/4 1/4

one seperated into fourths would look like this

1/4 1/4 1/4 1/4

so take one and one extra fourth away from two and you're left with

1/4 1/4 1/4

add that together and you have 3/4

HELP ASAP PLS!!!

Marsha recorded the time it took six children of different ages to run one lap around the track. Using the line of best fit, what is closest to the length of time it should take Marsha's 8 year old son to run one lap? Write the equation that represents the situation in slope-intercept form.

Answers

Answer:

176 seconds

Step-by-step explanation:

By using regression line calculator,

Equation of the line of best fit will be,

T = -12.55x + 276.52

Here , T = time taken to cover one lap

x = Age

If the age of Marsha's son is 8 years then expected time taken by her son to cover one lap will be,

T = -12.55(8) + 276.52

T = -100.4 + 276.52

T = 176.12 seconds

Therefore, approximate time taken by Marta's son will be 176 seconds.

expression equivalent to 3(7x + 9)

Answers

Answer:

21x + 27

Step-by-step explanation:

3(7x + 9)

21x+27is your answer

what is the value of c?

Answers

Answer: C= 26

Step-by-step explanation:

24^2+10^2=26^2

ROBERT bought 2 packages of cookies for $6.00. How much would 3 packages of cookies cost?

Answers

Answer:

9.00$

Step-by-step explanation:

6 divided by 2 = 3 so each pakage cost 3$ so it would be 9.00$

Please help this is due today!

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

perdita is correct

Step-by-step explanation:

perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin

1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1​

Answers

Answer:

The answer is 5/2X - 1/4. The remainder is 23/4.

On Monday morning, Mr. Descartes asked his Algebra II students whether they had gone to the carnival in town over the weekend.

"I did," said Kristen. "I went on the Teacups ride twice, the rollercoaster twice, and the Spinning Vortex once. I had a lot of fun for only $20."

"I went on those rides, too!" exclaimed Jorge. "Just once each on the Teacups and rollercoaster, but three times on the Spinning Vortex, all for $25."

"I did five Teacup rides," said Lakesha. "And two rollercoaster rides, and one Spinning Vortex. I spent $29."

Marc listed off the same rides. "Three Teacups for me, plus two rollercoasters, plus two rides on the Spinning Vortex, all for – "

"You don't need to say," interrupted Mr. Descartes. "I know how much you spent."

How much are the rides? How much did Marc spend

Answers

Answer:

Cost of one Teacup =  $3

Cost of one Roller coaster =  $4

Cost of one Spinning Vortex = $6

Marc spent = 3x + 2y + 2z = $29

Step-by-step explanation:

Let

Cost of one Teacup = x

Cost of one Roller coaster = y

Cost of one Spinning Vortex = z

In Kristen case -

2x + 2y + z = $20

In Jorge case -

x + y + 3z = $25

In Lakesha case -

5x + 2y + z = $29

In Marc case -

3x + 2y + 2z = ?

Now, we have

2x + 2y + z = $20       ......(1)

x + y + 3z = $25         ........(2)

5x + 2y + z = $29      .........(3)

Now,

Subtract equation (1) from equation (3), we get

5x + 2y + z - ( 2x + 2y + z ) = $29 - 20

⇒5x + 2y + z - 2x - 2y - z  = $9

⇒3x = $9

⇒x = $3

Now,

Multiply be 2 in equation (2) , we get

2x + 2y + 6z = $50        ........(4)

Now,

Subtract equation (1) from equation (4), we get

2x + 2y + 6z - ( 2x + 2y + z ) = $50 - 20

⇒2x + 2y + 6z - 2x - 2y - z  = $30

⇒5z = $30

⇒z = $6

Now,

Put the values of x and z in equation (2) , we get

$3 + y + 3($6) = $25

⇒$3 + y + $18 = $25

⇒y + $21 = $25

⇒y = $25 - 21

⇒y = $4

∴ we get

Cost of one Teacup = x = $3

Cost of one Roller coaster = y = $4

Cost of one Spinning Vortex = z = $6

Marc spent = 3x + 2y + 2z = 3($3) + 2($4) + 2($6) = $9 + $8 + $12 = $29

What is the volume of the prism?

Answers

Answer:

Step-by-step explanation:

Joe and his friend are going hiking they bring with them a container that holds 1/2 of gallons of water if they share the water equally will fraction of a gallon would each friend get?

A. 1/3
B. 3/2
C. 1/4
D. 1/6

Answers

Answer
C. 1/4
I hope this helps!

i) Coordinates of point P

a) (1,1) b) (1,2) c) (2,1) d) (1,0)

ii) Coordinates of point Q

a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)

iii) Coordinates of point T

a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)

iv) (Ordinate of T) – (Abscissa of R)

a) -4 b) 4 c) 0 d) -2

v) (Abscissa of Q) – (Ordinate of S)

a) -4 b) 4 c) 2 d) -2

Answers

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

help pls will give brainiest

Answers

Answer:

A= (3,3)

B= (4,1)

C= ( 1,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A 2, -1

B 1, -3

C 4, -4

Hope this helps!

Thanks for Brainliest!

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