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A room is 20 feet by 25 feet with a 10-foot ceiling. If Mickey paints the walls and the ceiling, how much surface area will he c

Svetradugi [14.3K]

Answer:

1400ft²

Step-by-step explanation:

Given

Room Dimension: 20 ft by 25 ft by 10 ft

Where Length = 20 ft

Width = 25 ft

Height = 10 ft

Required

Surface area of painted walls and ceiling

We'll assume that the room is rectangular in shape and all 4 sides are covered.

<em>This means that Mickey will paint 4 walls and 1 ceiling.</em>

The dimension of the 2 of the 4 walls is as follows;

20ft by 10ft, 25ft by 10ft,

Because opposite sides of a rectangle are equal, the dimension of the remaining 2 walls is: 20ft by 10ft, 25ft by 10ft

Calculating the area of the 4 walls;

$Area = 20ft * 10ft + 25ft * 10ft + 20ft * 10ft + 25ft * 10ft$

$Area = 200ft^2 + 250ft^2 + 200ft^2 + 250ft^2$

$Area = 900ft^2$

The dimension of the ceiling is as follows:

20ft by 25ft

Calculating the area of the ceiling

$Area = 20ft * 25ft$

$Area = 500ft^2$

So, the area Micky will cover = Area of 4 walls + Area of ceiling

Total Surface Area $= 900ft^2 +500ft^2$

Total Surface Area = $1400ft^2$

Hence, Micky will cover 1400ft²

6 0

3 years ago

Which fraction is larger 10/13 or 11/14

dem82 [27]

10/13 would be the larger number and here is why

10/13

10/13 x 3780/3780

37800/49140

so your answer is 10/13

5 0

3 years ago

Read 2 more answers

Convert the circle to standard form.<br><img src="https://tex.z-dn.net/?f=%20%7B9x%7D%5E%7B2%7D%20%20%2B%20%20%7B9y%7D%5E%7B2%7D

lara31 [8.8K]

Answer:

(x + 1)² + (y + 1)² = (√6)²

Step-by-step explanation:

Group the x- and y- terms together:

9x^2 + 18x + 9y^2 + 9y = 36

Factor out the coefficient 9:

x^2 + 2x + y^2 + y = 4

Complete the square of x^2 + 2x and then do the same for y^2 + 2y:

x^2 + 2x + 1 - 1 + y^2 + 2y + 1 - 1 = 4

Rewrite x^2 + 2x + 1 as the square of the binomial x + 1:

(x + 1)^2 + (y + 1)^2 - 2 = 4

Collect the constant terms on the right side:

(x + 1)^2 + (y + 1)^2 = 6

Rewrite 6 as (√6)^2:

(x + 1)² + (y + 1)² = (√6)² is the equation in standard form (x - h)² + (y - k)² = r²

Completing the square is done as follows: x^2 + 2x

Start with x^2 + 2x

1. Take half of the coefficient of x, which results in 2/2, or 1

2. Square this result and add it to, and subtract it from x^2 + 2x

x^2 + 2x + 1 - 1

3. Rewrite the first three terms as the square of a binomial:

x^2 + 2x + 1 - 1 = (x + 1)² - 1.

Do the same for y² + 2y.

7 0

2 years ago

A line passes through the point (4,7) and has a slope of -5/2.

pshichka [43]

Answer:

$y=-\frac{5}{2} x+17$

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th his check book shows a balance of

kakasveta [241]

Answer:

$48.87

Step-by-step explanation:

Let the deposited amount between the March 15th and the March 20th be x

Balance on 15th march = $56.75

The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25

And he also deposited x amount

After deposits and deductions

So, balance = 56.75 +x - (13.25+5)

The new balance on 20th march = $87.37

⇒ $56.75 +x - (13.25+5)=87.37$

⇒ $56.75 +x - 18.25=87.37$

⇒ $38.5 +x =87.37$

⇒ $x =87.37-38.5$

⇒ $x =48.87$

Hence Carlos deposited $48.87 in his account between the March 15th and the March 20th.

6 0

3 years ago

Read 2 more answers