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3 years ago

PLEASE EXPLAIN YOUR ANSWER

Mathematics

1 answer:

umka21 [38]3 years ago

7 0

Answer:

equivalent to 58/100

and 58%

Step-by-step explanation:

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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

Suppose T is a transformation from ℝ2 to ℝ2. Find the matrix A that induces T if T is reflection over the line y=1/2x

trapecia [35]

Answer:

$A = \left[\begin{array}{cc}1&\frac{4}{5}\\\frac{4}{3}&-\frac{3}{5}\end{array}\right]$

Step-by-step explanation:

We have to see how the canonical vectors are transformed throught T. Lets first define T in any basis.

Since T is a reflection, then any element of the line y = x/2 if fixed by T. Therefore T(2,1) = (2,1).

On the other hand, any vector perpendicular to the line direction should be sent to its opposite value. We can take, for example, (-1,2) (note that the scalar product (2,1) * (-1,2) = -2+2 = 0). As a consecuence T(-1,2) = (1,-2). We have

T(2,1) = (2,1)
T(-1,2) = (1,-2)

By summing the first vector with the double of the second one we get, using linearity

T(0,5) = T( (2,1) + 2(-1,2)) = T(2,1) + 2T(-1,2) = (2,1) + 2(1,-2) = (4,-3)

Hence, T(0,1) = (4/5,-3/5)

Now, we take the second vector and substract it the double of the first one (to kill the second variable)

T(-3,0) = T( (-1,2) - 2*(2,1) ) = T(-1,2) -2T(2,1) = (1,-2)-2(2,1) = (-3,-4)

Therefore, T(1,0) = (1,4/3)

The matrix A induced by T has in its first column T(1,0) and in its second column T(0,1). We conclude that

$A = \left[\begin{array}{cc}1&\frac{4}{5}\\\frac{4}{3}&-\frac{3}{5}\end{array}\right]$

3 0

3 years ago

A car travles 75 miles on 3 gallons of gasoline how much gasoline will it need to go 342 miles

PolarNik [594]

If u find how many miles for 1 gallon, there are 25 miles so then divide 342 by 25 and u get 13.68 gallons

8 0

3 years ago

Find the slope and the y intercept<br> Y=1/3x + 2

Andrej [43]

Answer:

m = 1/3, b = 2

Step-by-step explanation:

The equation is already written is slope-intercept form, y = m x + b.

7 0

2 years ago

HELP HELP PLEEEAASSSEE!

Nitella [24]

Answer:

What's the question?

Step-by-step explanation:

3 0

3 years ago

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