Mathematics College

Problem 2
Find the area of each shaded region. Show or explain your reasoning.
A
2 cm
B
2 cm
2cm
6 cm
5 cm
3 cm
6 cm
8 cm
C С
D
15 cm
8 cm
8 cm
15 cm
9 cm
6 cm
10 cm

Problem 2Find The Area Of Each Shaded Region. Show Or Explain Your Reasoning.A2 CmB2 Cm2cm6 Cm5 Cm3 Cm6

Answers

Answer 1

Step-by-step explanation:

A

this is the combination of a 4×6 rectangle and a 2×2 square. nothing is excluded.

so, the area is

(6-2)×6 + 2×2 = 4×6 + 4 = 24 + 4 = 28 cm²

B

this is the area of the large 8×5 rectangle minus the area of the small 2×3 rectangle.

so the area is

8×5 - 3×2 = 40 - 6 = 34 cm²

C

Basically the same thing as for B. large rectangle minus smaller rectangle.

so, the area is

15×10 - 9×6 = 150 - 54 = 96 cm²

D

the area of a triangle is

baseline × height / 2

or baseline here is 2×8, and the height is 5

so we get the area

2×8 × 5 / 2 = 8×5 = 40 cm²

Related Questions

Which of the following is the best example of kinetic energy?

A book sitting on a bookshelf
A golfer preparing to putt the ball
A race car in position at the start line
A satellite orbiting the Earth

Answers

Answer:

i had this question a little while back and the right answer was

d. a satellite orbiting the Earth.

(:

Alec wants to purchase a new phone that costs $159.00. His current average net pay is $167.91 each week. What percent of his weekly net pay does Alec need to save each week, for the next six weeks, to reach his goal? Round to the nearest hundredth. (1 point)
1.58%
9.09%
15.78%

Answers

9514 1404 393

Answer:

  15.78%

Step-by-step explanation:

Let x represent the fraction of pay that Alec needs to save each week. Then at the end of 6 weeks, he will have ...

  159.00 = 6(x(167.91))

  x = 159.00/(6·167.91) ≈ 0.157823 ≈ 15.78%

Alec will need to save 15.78% of his pay.

_____

Additional comment

We recognize that $159 is almost a whole paycheck of $168, so Alec needs to save approximately 1/6 of his paycheck each week. We know that 1/6 = 16.67%, so the nearest reasonable answer choice is 15.78%.

find the distance between each pair of points if necessary round to the nearest tenth.
17. A(6,7),B(-1,7)
18. C(5,-5),D(5,3)
19. E(-1,0),F(12,0)
20. Q(2,-6),T(10,0)
21. H(20,-4),I(-4,3)
22. J(-5,5),K(-3,-2)
I will give brainliest please help and show work

Answers

Step-by-step explanation:

q17

[tex]d = \sqrt{ {(7 - 7)}^{2} + {(6 - ( - 1))}^{2} } = 7[/tex]

q18

[tex]d = \sqrt{ {(5 - 5)}^{2} + {(3 - ( - 5))}^{2} } = 8[/tex]

q19

[tex]d = \sqrt{ {(12 - ( - 1))}^{2} + {(0 - 0)}^{2} } = 12[/tex]

q20

[tex]d = \sqrt{ {(10 - 2)}^{2} + {(0 - ( - 6))}^{2} } = 10[/tex]

q21

[tex]d = \sqrt{ {(3 - ( - 4))}^{2} + {(( - 4) - 20)}^{2} } = 25[/tex]

q22

[tex]d = \sqrt{ {(( - 3) - ( - 5))}^{2} + {(( - 2) - 5)}^{2} } = 7.1[/tex]

One positive number is 2 more than twice another. If their product is 1012, find the numbers.

Answers

Answer:

46 and 22

Step-by-step explanation:

22 x 2 = 44

44 is 2 less than 46

46 x 22 = 1012

Help!!!!! Pleaseee I don’t understand

Answers

Answer:

Question 22: x = 3Question 23: AB = 10Question 24: BD = 14Question 25: CE = 17

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, you may tell me or refer to the attachment below for a graphical explanation.

Solve:

Question 22. If AC = 16, what is x?

Given information

AC = 16

AB = x + 7

BC = 2x

Given expression deducted from the segment addition postulate

AB + BC = AC

Substitute values into the expression

x + 7 + 2x = 16

Combine like terms

x + 2x + 7 = 16

3x + 7 = 16

Subtract 7 on both sides

3x + 7 - 7 = 16 - 7

3x = 9

Divide 3 on both sides

3x / 3 = 9 / 3

[tex]\boxed {x=3}[/tex]

Question 23. What is AB?

Given information

x = 3

Given expression deducted from the segment addition postulate

AB = x + 7

Substitute values into the expression

AB = (3) + 7

[tex]\boxed {AB=10}[/tex]

Question 24. What is BD?

Given information

BC = 2x

CD = 3x - 1

x = 3

Given expression deducted from the segment addition postulate

BD = BC + CD

Substitute values into the expression

BD = 2x + 3x - 1

BD = 2(3) + 3(3) - 1

BD = 6 + 9 - 1

BD = 15 - 1

[tex]\boxed {BD=14}[/tex]

Question 25. What is CE?

Given information

CD = 3x - 1

DE = 2x + 3

x = 3

Given expression deducted from the segment addition postulate

CE = CD + DE

Substitute values into the expression

CE = 3x - 1 + 2x + 3

CE = 3(3) - 1 + 2(3) + 3

CE = 9 - 1 + 6 + 3

CE = 8 + 6 + 3

CE = 14 + 3

[tex]\boxed {CE=17}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

1109,1116,1123 what’s next

Answers

Answer:

C. 1130

BRAINLIEST, PLEASE!

Step-by-step explanation:

1109 + 7 = 1116

1116 + 7 = 1123

1123 + 7 = 1130

The value of the missing number is 1130.

Missing number

The missing number in the series can be determined by finding the common difference or pattern of the numbers.

let the common difference = d

1109 + 7 = 1116

1116 + 7 = 1123

1123 + 7 = 1130

Thus, the value of the missing number is 1130.

Learn more about missing numbers here: https://brainly.com/question/1241542

|72| ÷ |-12| =
?????????

Answers

Answer:

6

Step-by-step explanation:

|72| ÷ |-12|

Absolute value of 72 = 72

Absolute value of -12 = 12

72 ÷ 12 = 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Solve for x: 5x + 2 = 4x − 9.

7
−7
11
−11

Answers

Answer:

x= -11

Step-by-step explanation:

5x+2=4x-9 subtract 2 from both sides

5x+2-2=4x-9-2

5x=4x-11 subtract 4x from both sides

5x-4x=4x-4x-11

x= -11

hope that helps>3

formula if cos2A in terms of multiple angle ​

Answers

Answer:

1/sec is rhe answer of 2 cos A

Emily Bought the Following items for Christmas gifts for her Friends: 5 Hannah Montana calendars, 3 DVDs, 2 books, 1 Monopoly game, 8 CDs, 1 Box of Candy, and 2 gift Cards to Walmart.What is the Ratio of DVDs to the total number of Gifts.​

Answers

Answer:

Ig its 22:3

Step-by-step explanation:

First we add all the gifts and put it in the ratio and the other is 3 dvds

Simplify

5(x + 8) - 2x = 7(x + 10)

Answers

Answer:

-15/2

Step-by-step explanation:

5(x + 8) - 2x = 7(x + 10)

=> 5x + 40 - 2x = 7x + 70

=> 3x + 40 = 7x + 70

=> 3x - 7x = 30

=> -4x = 30

=> x = -30/4

=> x = -15/2

Answer : 3x+40=7x+70
Explanation : 5(x) + 5(8) = 5x+40, 5x+40-2x= 3x+40 , 7(x)+7(10)=7x+70
3x+40=7x+70

Help!!!!!!!!!!!!!!

2x+3=x-7

Answers

Answer:

x = - 10

Step-by-step explanation:

2x+3=x-7

=> 2x - x = - 7 - 3

=> x = -10 (Ans)

Add the Following Fractions:

\large \frac{3}{8}+\frac{2}{8}=?

a. 5/16
:b. 5/8
c. 6/8
d. 1/8

Answers

Answer:

B. [tex]\frac{5}{8}[/tex]

Explanation:

Because the denominators (bottom numbers) of both fractions are the same, we simply just add the numerators (top numbers) and keep 8 as the denominator.

Complete the equation. (x-2)(x^2 + 2x + 4) = ( , )

Answers

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

26) Using the formula I = PRN, calculate the simple interest (I) on $1500 at 3% p.a. for 8 years. Show working i.e. P = 1500, R = 3% , N= 8​

Answers

Answer:

I = $360

Step-by-step explanation:

Calculate the interest I using

I = PRN

with P = 1500, R = 3% = [tex]\frac{3}{100}[/tex] = 0.03 , N = 8 , then

I = $1500 × 0.03 × 8 = $360

Please help and please give explanation

Answers

Answer: -5 i guess i might b wrong i dont know -5

Step-by-step explanation:

what is the answer to this problem (40+35+2(30+25))/5

Answers

Answer:

37

Step-by-step explanation:

Answ 925

Step-by-step explanation:

You are wrapping a gift box that is 16 inches long,
7 inches wide, and 9 inches tall. Find the amount of
wrapping paper you need to wrap the gift box to the
nearest square inch.

Answers

Answer:

1008 inches

Step-by-step explanation:

i need help this question?
5x2 + 7% -2x2 - 10x + 5​

Answers

Answer:

[tex] \frac{1107}{100} - 10x[/tex]

Step-by-step explanation:

[tex]5x2 + 7\% - 2 \times 2 - 10x + 5[/tex]

➡️ [tex]10 + 7\% - 2 \times 2 - 10x + 5[/tex]

➡️ [tex]10 + \frac{7}{100} - 2 \times 2 - 10x + 5[/tex]

➡️ [tex]10 + \frac{7}{100} - 4 - 10x + 5[/tex]

➡️ [tex]11 + \frac{7}{100} - 10x[/tex]

➡️ [tex] \frac{1107}{100} - 10x[/tex]

Which statement is true regarding the graphed functions?
euf
12
40
B
4
914
2
1 2
3
4.
5
B
X
I f 5 4 3 2 12)
-4
B
be
10
2
141
f(4) = g(4)
f44) = (1-2)

Answers

Is there more option choices since the ones that are visible rent correct
Maybe upload an image of the choice rather than text since it’s unreadable

what is 6% of 3125 ​

Answers

Answer:

187.5

Step-by-step explanation:

6% of 3125 ​

=> 6/100 x 3125

=> 18750/100

=> 187.5

Evaluate:
45
O 256
O 625
0 1024
o I don't know

Answers

Answer:

A. 256

Step-by-step explanation:

4×4×4×4=256

I hope this helps!

pls ❤ and mark brainliest pls!

answer : 1024

100% correct ;)

Over a period of 1 1/4
-
years
5/
16
in. of tread has worn off a tire. What was the average tread wear per year?

Answers

1.25/16 in of a tire is worn out

Determine a quadratic equation that has 7 and -4 as solutions.

Answers

Answer:

(x+x1)(x-x2)

let x1=7 and x2=-4

(x+7)(x-(-4))

(x+7)(x+4)

x^2+4x+7x+28

x^2+11x+28

Which of the following is a true statement of the figure

Answers

Answer:

The last one

Step-by-step explanation:


0.2 kg
2m
9.8g
Pls help quick

Answers

I think it’s 9.8g for the answer

Which represents a function?​

Answers

Answer:

B

Step-by-step explanation:

For a function to be a function, every x value can only equal a single y value. A has two y values for one x value, and so does C and D. This leaves only B.

1. Which is an example of an algebraic expression?

Answers

Answer:

3-a

Step-by-step explanation:

it involves variables like x, y, z

in this case a

What is the equation of the line that passes through the point (8,−3) and has an undefined slope?

Answers

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Recall that horizontal lines have a slope of zero, while vertical lines have an undefined slope.

Therefore, the line must be vertical.

And since it is vertical, we will only need to consider the x-coordinate of our point.

The x-coordinate of (8, -3) is 8.

Hence, the equation of the line that passes through (8, -3) with an undefined slope is:

[tex]x = 8[/tex]

Answer: x= 8

Step-by-step explanation:

It is a vertical line that passes through point 8 on the x axis.

Show Work! There are 380 students, teachers, and chaperones going on school buses for a field trip. Each school bus can hold 68 passengers. Everyone will ride on a school bus. How many school buses does this group need?

Answers

Answer:

6 buses

Step-by-step explanation:

i believe you just have to divide 380/68

then it'll give you 5.5 and then have to round to the nearest integer

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