Mr. Cole made this diagram of his bedroom. Which is the area of Mr. Cole’s bedroom? 90 square feet 82 square feet 72 square feet 36 square feet

Answers

Answer 1

Answer:

The area of Mr. Cole’s bedroom is82 square feet. Therefore, the correct answer is option B.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The given figure can be divided into two rectangles.

One with the dimensions 10 ft by 5 ft.

Other with the dimensions 8 ft by 4t.

We know that, the area of a rectangle is Length×Width.

Here, area of a rectangle with the dimensions 10 ft by 5 ft is

$10*5=50$ square feet

Area of a rectangle with the dimensions 8 ft by 4 ft is

$8*4=32$ square feet

Now, area = 50+32

= 82 square feet

Therefore, the correct answer is option B.

Learn more about the area here:

brainly.com/question/27683633.

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Answer 2

Answer:

Answer:

The answer is 82 square feet

Step-by-step explanation:

An easy way to do this is to split it into two rectanlges. You can do 10*5 and 8*4 as the dimensions to the two rectangles or you can do 2*4 and 9*8.

I am going to do the first option.

The area of a rectangle is length times width.

Rectangle one can be the one with the dimensions 10 and 5 and the length and width.

Rectangle two can be the one with the dimensions 8 and 4 and the length and width.

Area of rectangle one = 50 feet^2

Area of rectangle two = 32 feet^2

Since we split a large irregular shape into two bits, we must add them together, which results in 82 feet^2.

Solution :

Let's solve by using Pythagoras theorem,

$\hookrightarrow \: (10) {}^(2) = {(x})^(2) + (x + 2) {}^(2)$

$\hookrightarrow \: 100 = {x}^(2) + {x}^(2) + 4x + 4$

$\hookrightarrow \: 100 - 4 = 2 {x}^(2) + 4x$

$\hookrightarrow \: 96 = 2 {x}^(2) + 4x$

$\hookrightarrow \: 2 {x}^(2) + 4x - 96 = 0$

$\hookrightarrow \: 2( {x}^(2) + 2x - 48) = 0$

$\hookrightarrow \: {x}^(2) + 2x - 48 = 0$

$\hookrightarrow \: {x}^(2) + 8x - 6x - 48 = 0$

$\hookrightarrow \: x(x + 8) - 6(x + 8) = 0$

$\hookrightarrow \: (x + 8)(x - 6) = 0$

now there are two cases

Case 1 : when (x + 8) = 0

$\hookrightarrow \: x + 8 = 0$

$\hookrightarrow \: x = - 8$

but the value of x can't be negative, since side of a triangle isn't a negative value .

Case 2 : when (x - 6) = 0

$\hookrightarrow \: x - 6 = 0$

$\hookrightarrow \: x = 6$

therefore the measure of other two sides are :

$\hookrightarrow \: x = 6 \: units$

$\hookrightarrow \: x + 2 = 6 + 2 = 8 \: units$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \mathrm{TeeNForeveR }$

Each side of a square is increasing at a rate of 4 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2

Answers

Answer:

The area of the square is increasing at a rate of 40 square centimeters per second.

Step-by-step explanation:

The area of the square ( $A$ ), in square centimeters, is represented by the following function:

$A = l^(2)$ (1)

Where $l$ is the side length, in centimeters.

Then, we derive (1) in time to calculate the rate of change of the area of the square ( $(dA)/(dt)$ ), in square centimeters per second:

$(dA)/(dt) = 2\cdot l \cdot (dl)/(dt)$

$(dA)/(dt) = 2\cdot √(A)\cdot (dl)/(dt)$ (2)

Where $(dl)/(dt)$ is the rate of change of the side length, in centimeters per second.

If we know that $A = 25\,cm^(2)$ and $(dl)/(dt) = 4\,(cm)/(s)$ , then the rate of change of the area of the square is:

$(dA)/(dt) = 2\cdot \sqrt{25\,cm^(2)}\cdot \left(4\,(cm)/(s) \right)$

$(dA)/(dt) = 40\,(cm^(2))/(s)$

The area of the square is increasing at a rate of 40 square centimeters per second.

a patrolman gives a speeding ticket 15% over the posted speed the speed limit is 40 miles per hour a driver can go without receiving a ticket

Answers

0.15 x 40 = 6 and 40+6 = 46
So you can drive below 46 miles per hour without getting a ticket
Hope this helps!

Which of the following scatterplots would have a trend line with a positive slope?

Answers

the first one will be positive!

Answer:

It's the first answer.

Step-by-step explanation:

As demonstrated through the image, the slope increases. Thus making it a positive slope.

16 is what percent of 20?

Answers

Answer:

3.2

Step-by-step explanation:

16/20 = 0.8
0.8 * 100 = 80
Solution: 80%

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Mr. Cole made this diagram of his bedroom. Which is the area of Mr. Cole’s bedroom? 90 square feet 82 square feet 72 square feet 36 square feet

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