List all the elements NOT in Set M.

tekilochka [14]

Answer:

C. 469 in²

Step-by-step explanation:

The net of the object is a rectangle that is 28 inches long and 14 inches wide. Its area is 392 square inches.

In addition, there are two triangles with base 11 inches and height 7 inches. Together, they have the area of a rectangle 7 by 11, or 77 square inches.

The total surface area of the prism is then ...

(392 + 77) in² = 469 in²

_____

The area of a rectangle is the product of its length and width.

The area of a triangle is half the product of its base and height. So, the area of two identical triangles is the product of their base and height.

_____

Comment on the geometry

This geometry cannot exist as shown. The height of the triangular face is closer to 6.454 inches than to 7 inches.

6 0

4 years ago

Read 2 more answers

A furnace repair person charges an initial fee of $80 plus $30 per hour to do repairs.

Svetlanka [38]

Answer:

A) The repair bill would be at least $320 after 8 hours

B) The repairman would have worked for 5 hours

Step-by-step explanation:

A) Set up your equation with x equaling hours

30x + 80 = 320

subtract 80 to the opposite side of the equation

30x = 240

divide by 30

30x/30 = 240/30

x = 8

B) Set up your equation with x equaling hours

30x + 80 = 230

subtract 80 to the opposite side of the equation

30x = 150

divide by 30

30x/30 = 150/30

x = 5

7 0

3 years ago

What is 9.27 million in scientific notation

ehidna [41]

⇔⇔⇔⇔⇔⇔⇔⇔⇔9.27*106 ⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔

3 0

4 years ago

Read 2 more answers

Insert two rational number between 1.3 bar and 1.4 bar

jok3333 [9.3K]

General method:

Given numbers are 1.3 bar and 1.4 bar

1.3 bar = 1.333...
1.4 bar = 1.444...

Two rational numbers between them

= 1.3222... and 1.43333...

Mean Method:

Let X = 1.333... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.333...×10

⇛10X = 13.333... → → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 13.333...

X = 1.333...

(-)

____________

9X = 12.000...

____________

⇛9X = 12

⇛X = 12/9

⇛X = 4/3

and

Let X = 1.444... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.444...×10

⇛10X = 14.444...→ → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 14.444...

X = 1.444...

(-)

____________

9X = 13.000...

____________

⇛9X = 13

⇛X = 13/9

Now we have 12/9 and 13/9

The rational number between them by mean method (a+b)/2

⇛{(12/9)+(13/9)}/2

⇛(25/9)/2

⇛25/18

and Second rational number

⇛{(12/9)+(25/18)}/2

⇛{(24+25)/18}/2

⇛(49/18)/2

⇛49/36

Answer: The two rational numbers between them are 25/18 and 49/36.

also read similar questions: INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?

brainly.com/question/85169?referrer

8 0

3 years ago

A supermarket increases the prices of some grocery items by 10%.

Juli2301 [7.4K]

Answer:

(a) $1.98

(b) $6.30

Step-by-step explanation:

(a)

The new value =

1.80 + The value of the percentage increase =

1.80 + (10% × 1.80) =

1.80 + 10% × 1.80 =

(1 + 10%) × 1.80 =

(100% + 10%) × 1.80 =

110% × 1.80 =

110 ÷ 100 × 1.80 =

110 × 1.80 ÷ 100 =

198 ÷ 100 =

1.98

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 1.80 =

1.98 - 1.80 =

0.18

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

10% × 1.80 =

10 ÷ 100 × 1.80 =

10 × 1.80 ÷ 100 =

18 ÷ 100 =

0.18

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

1.80 increased by 10% = 1.98

The actual change:

1.98 - 1.80 = 0.18

(b)

Calculate the New value
The new value =

42.0 + The value of the percentage increase =

4.20 + (50% × 4.20) =

4.20 + 50% × 4.20 =

(1 + 50%) × 4.20 =

(100% + 50%) × 4.20 =

150% × 4.20 =

150 ÷ 100 × 4.20 =

150 × 4.20 ÷ 100 =

63,000 ÷ 100 =

630

(but its as a dollar so its 6.30)

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 4.20 =

6.30 - 4.20 =

2.10

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

50% × 4.20 =

50 ÷ 100 × 4.20 =

50 × 4.20 ÷ 100 =

21,000 ÷ 100 =

210

(but its as a dollar so its 2.10)

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

4.20 increased by 50% = 6.30

The actual change:

6.30 - 4.20 = 2.10

6 0

2 years ago