A sheet of 8-inch by 10-inch paper is placed on top of a sheet of 8 1/2-inch by 11-inch paper, as shown. What is the area of the region of overlap in square inches?

Answer:

a. (5x+75)°

b. x = 21

c. X° = 21° and (4x+75)°= 159°

Step-by-step explanation:

A. Combine like integers.

B. (5x+75)°=180° Because they are suplementary angles.

   5x°= 105°

   5x ÷5 = 105 ÷ 5

   x = 21

C. (4x + 75)°

   4(21) + 75

   84 + 75 = 159°

Step-by-step explanation:

The value of x and y based on the percentages that are given will be 11 and 7.

How to calculate the percentage

Since x is 110% of 10. This will be;

= 110% × 10

x = 11

Since y% of 50 is 3.5. This will be:

y% × 50 = 3.5

y% = 3.5/50

0.01y = 3.5/50

y = 7

Therefore, it can be seen that value of x and y based on the percentages that are given will be 11 and 7.

Answer: 27

Step-by-step explanation: I know bc I am doing the test

Answer:

Answer is A.

Step-by-step explanation:

Answer:

6.43 yards

Step-by-step explanation:

a²+b²=c²

x²+5.4²=8.4²

x²+29.16=70.56

-29.16 -29.16

x²=41.4

x=6.43

Answer:

calorie, gram, 1

Step-by-step explanation:

this is what I know, good luck:)

Answer:

9 laps or 3600 meters.

Step-by-step explanation:

First you want to find who has ran the furthest and the least distance.

So we have Rory ran the most with 14 laps or 5600 meters and Daniel who ran the least with 5 laps or 2000 meters.Next we subtract becuase when you say to "find the difference" it means to subtract.We subtract  if you want to find the laps we do 14-5 and if you want to find the number of meters we do 5600-2000.

Answer:

Step-by-step explanation:

40+3+7=50

50x2=100

40x2=80

3x2=6

7x2=14

80% on side

6% with open side up

3 percent with closed side up

Answer:

80% on side

6% with open side up

3 percent with closed side up

Please give brainliest!!

Answer:

3.5

Step-by-step explanation:

2 5/8 mi=21/8mi 3/12min=7/2min 7/2 as a decimal is 3.5

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, We have

We know that,

Area of rectangle

[tex]\bold{\red{ = Length {\times} Breath }}[/tex]

Subsitute the required values,

Area of large rectangle

[tex]\sf{ = 12 {\times} 8 }[/tex]

[tex]\sf{ = 96 \:units^{2}}[/tex]

Thus, The area of large rectangle is 96 units² .

Area of non - shaded rectangle

[tex]\sf{ = 9 {\times} 4 }[/tex]

[tex]\sf{ = 36\: units^{2}}[/tex]

Thus, The area of non shaded rectangle is 36 units² .

Area of shaded region

= Area of large rectangle - Area of non shaded rectangle

Subsitute the required values,

[tex]\sf{ = 96 - 36}[/tex]

[tex]\sf{ = 60\: units^{2}}[/tex]

Hence, The total area of shaded region is 60 sq.units.

➾Length(L) of bigger rectangle = [tex]\sf{9+3\: =\:12}[/tex]units.

➾Length(l) of smaller rectangle = 9units.

➾Breadth (B) of bigger rectangle = [tex]\sf{4+4 \:=\: 8}[/tex]units.

➾Breadth(b) of smaller rectangle = 4 units.

➾Area of the shaded region.

➾We can find the area of shaded region by subtracting area of smaller rectangle from area of bigger rectangle(that is whole rectangle including shaded and non shaded region).

So,

➾Area of bigger rectangle = [tex]\sf{L×B}[/tex](putting the value of L and B from the above given)

= [tex]\sf{8×12}[/tex]

= [tex]\sf{96unit^2}[/tex]

Similarly,

➾Area of smaller rectangle = [tex]\sf{l×b}[/tex](putting the value of l and b from the above given)

= [tex]\sf{9×4}[/tex]

= [tex]\sf{36unit^2}[/tex]

Now,

➾Area of shaded region = Area of bigger rectangle - Area of smaller rectangle.

[tex]\sf{= 96-36}[/tex]

[tex]\sf{= 60unit^2.}[/tex]

Therefore, area of shaded region[tex]\sf{= 60unit^2.}[/tex]

__________________________________

Hope it helps you:)

Answer:

Explanation:

11x5=55

11x13=143

5x13/2=32.5

55+32.5+143=230.5

230x185 5/8 m²=42 693.75 m2

230x219 3/8 m²=50 456.25 m2

230x247 1/2 m²=56 925 m2

230x292 1/2 m²=67 275 m2

I DO NOT 100% KNOW IF THESE ARE CORRECT

Answer:

247 1/2 m 2

Step-by-step explanation:

have  a good day

Answer:

-20x - 24

you just multiply the factor on the outside by each on the inside.

Answer:

-3

Step-by-step explanation:

5(y+2/5)=-13

5(y+0.4)

5y + 2 =-13

5y=-13+2

5y=-15

y=-15/5

y=-3

5(-3+2/5)=-13

Answer:

0.30

Step-by-step explanation:

Each marker costs 30 cents each (0.30$)

you have to divide the amount of money (6) by the amount of markers (20)

6 ÷ 20= 0.30

Answer:

The area of the square is x^2

The area of the triangle is x*height/2

The area of the rectangle is x*height of rectangle

X is the length of the square named C

You need to measure these yourself because we don't know whether these are to scale or not.

Step-by-step explanation:

Answer: :-p(x) = x⁴ - ax³ -3x² + 2x + bWe have to find the values of "a" and "b"Given :-(x+1) and (x-1)

Answer:

C. $5 for 40 ounces

Step-by-step explanation:

First, we need to find the unit rate for each deal.

To do this, we divide the price of the cereal box by the unit (ounces):

1. $3.20 for 20 ounces

3.20/20 = $0.16 for each ounce

2. $4.50 for 25 ounces

4.50/25 = 0.18 for each ounce

3. $5 for 40 ounces

5/40 = 0.13 for each ounce

4. $6.50 for 20 ounces

6.50/20 = 0.33 for each ounce

As you can see, the third one is the best deal, as it is the least expensive.

Hope this helps!

Answer: 20.48

Step-by-step explanation:

use the pythagorean theorem for the diagnal sides

3^2+3^2=c^2

9+9=c^2

18=c^2

[tex]\sqrt{18}[/tex]

this gives you 4.24

now add 6+6+4.24+4.24 to get 20.48

Answer:

Part A: impossible

Part B: Either equal or blue

Part C: 9 green and 2 blue were added

Step-by-step explanation:

Part A:

The only colors included in this problem are red, blue, and green. There is no black colored pencil, therefore, it is impossible to get one from the box.

Part B:

I'm not sure what you're asking in this question, but I will give you the two choices. If it is before the additional 11 colored pencils are added to the box, the chance of drawing a red and the chance of drawing a blue will be equal, because both of them have 11 of each color. If it is after the additional 11 colored pencils are added to the box, then the chance of drawing a blue colored pencil will be greater than the chance of drawing a red colored pencil. After the 11 colored pencils are added, there are 13 blue and 11 red. The blue is greater.

Part C:

The least number of green colored pencils added has to be 9, because the chance of drawing a green pencil is now greater than the chance of drawing a red pencil. If we add 8 more green pencils, the likelihood would be the same. Therefore, the number of green colored pencils added has to be at least 9. If we have the last 2 colored pencils be blue, then there would be 11 red, 13 blue, and 12 green. This fits all the conditions, therefore, adding 9 green colored pencils and 2 blue colored pencils is the answer.

I hope this helps and please mark me as brainliest!

Answer:

just adding an answer so u can give the other person brainliest x btw thanks to the other person sm!

Step-by-step explanation:

Answer: 326

The blank space equals 326, 326 times 15 is 4890 as you’d start by multiplying 326 times 10 then multiply 326 times five then add the two sums and get your answer.

We can use inverse operations to find this question by dividing 4890 by 15. We can check our answer by multiplying 326 by 15.

Answer:

326

Step-by-step explanation:

We can use inverse operations to find this question by dividing 4890 by 15. We can check our answer by multiplying 326 by 15.

Hope this helps :)

Answer:

Step-by-step explanation:

20 hm = 2000 m

3,412 mm = 0.003412 km

0.25 m = 250 mm

590 mg = 0.59 g

75cm = 0.75 m

12.5 m = 0.0125 km

8,808 cm = 0.08808 km

20 hm = 2000000 mm

1,235g = 1.235 kg

12 decimeters = 0.12 dam

20 L = 20000 mL

13.6 mL = 0.0136 L

Hope this helps :)

Answer:

See below.

Step-by-step explanation:

Let's review the metric prefixes used in this problem:

m = 1/1000

h = 100

c = 1/100

k = 1000

da (deca) = 10

20 hm = 20 × 100 m = 2,000 m

3,412 mm = 3412/1000 m × 1 km/(1000 m) = 0.003412 km

0.25 m = 0.25 m × 1000 mm/m = 250 mm

590 mg = 590 mg × 1 g / (1000 mg) = 0.59 g

75 cm = 75 × m/100 = 0.75 m

12.5 m = 12.5 m × 1 km / 1000 m = 0.0125 km

8,808 cm = 8,808 cm × 1 m / 100 cm × 1 km / 1000 m = 0.08808 km

20 hm = 20 × 100 m × 1000 mm/m = 2,000,000 mm

1,235 g = 1,235 g × kg/(1000 g) = 1.235 kg

12 dm = 12 dm × 1 m / 10 dm × 1 dam / 10 m = 0.12 dam

20 L = 20 L × 1000 mL/L = 20,000 mL

13.6 mL = 13.6 mL × 1 L /  1000 mL = 0.0136 L

Answer:

given - circumference of the coin = 122 inches.

______________________________________

[tex]\fbox\pink{Solution -}[/tex]

[tex]circumference = 2\pi \: r \\ \\ r = \frac{circumference}{2\pi} \\ \\r = \frac{\cancel{122}}{\cancel2 \times \frac{22}{7} } \\ \\ r = \frac{61}{ \frac{22}{7} } \\ \\ r = 61 \times \frac{7}{22} \\ \\ r = \frac{427}{22} \\ \\ r = 19.41 \: inches \: (approx.)[/tex]

hope helpful :D

Answer :

⠀

Step-by-step explanation :

⠀

We know that,

[tex]{\longrightarrow \qquad \frak {\pmb{ 2 \pi r = Circumference_{(circle)} }}}[/tex]

⠀

Here,

⠀

Now, substituting the values :

⠀

[tex]{\longrightarrow \qquad \sf{ 2 \times 3.14 \times r = 122}}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ 6.28 \times r = 122}}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ r = \dfrac{122}{6.28} }}[/tex]

⠀

[tex]{\longrightarrow \qquad \frak{\pmb{ r = 19.42}}}[/tex]

⠀

Therefore,

⠀

Answer:

A: 4

Step-by-step explanation:

So first you can move the 2^-5 to the denominator, making the equation (2^2) (4^3) / (2^5) (2)

Then simplify the terms so you end up with (4)(64) / (32) (2)

Then multiply the denominator so you end up with (4) (64) / (64)

Since both the denominator and numerator have 64, those cancel out leaving you with 4

If you need more clarification feel free to ask

Answer:

A) 4

Step-by-step explanation:

Evaluating

Answer:

B C

Step-by-step explanation:

not gonna bother, by examination

Answer:

The circumference appears four times larger.

Step-by-step explanation:

C=2πr

So if we are multiplying the radius (r) by 4 then that would most definitely increase the outcome (circumference) by 4

here's why:

C=2πr

C=2π(4r)

C=8πr

So,

8πr/2πr = 8/2 = 4

Hope this helps! ;)

Answer:

80

Step-by-step explanation:

For these types of counting problems, just multiply all of the levels.

For example, this would be

4 choices

5 choices

4 choices

Multiply 4*5*4, and you get 80.

Total number of ways of combining one level from each of the growth factors is equals to 80.

" As per fundamental principle of counting if first event has 'm' number of possible outcomes , second has 'n' number of possible outcomes then total number of ways are m× n ."

According to the question,

Number of growth factors =3

First growth factor: Lightening

Second growth factor: Age

Third growth factor : Temperature

As per the data given we have,

Number of levels in lightening 'm'= 4

Number of levels in age 'n'= 5

Number of levels in temperature 'p' =4

Substitute the value as per the definition of fundamental principle of counting

Total number of ways = m × n × p

                                     = 4 × 5 × 4

                                     = 80 ways

Hence, total number of ways of combining one level from each of the growth factors is equals to 80ways.

Learn more about fundamental principle of counting here

https://brainly.com/question/23905307

#SPJ2

Answer:

297

Step-by-step explanation:

3*3*3*11=297

How you find the area is by multiplying all of the sides

With one dice the chance of rolling a one is 1/6.

With two you have twice the probability, so its 1/3.

This is because there are 6 sides on a dice.

Please mark brainliest if this helped!

Answer:

The probability of rolling at least one 1 is 1/3

Step-by-step explanation:

When there is one dice the probability of rolling a '1' is 1/6

When you roll two dice, the probability of rolling a '1' increases, making it a 1/3 of rolling a one.

-I hope this helps!