All categories

3 years ago

The room itself measures 64 feet by 48 feet. The carpet is 9 feet by 13 feet. Find the area of floor outside the carpet

Mathematics

1 answer:

Anna [14]3 years ago

6 0

Answer: 2,955 feet squared.

Step-by-step explanation: The area is the width times the height. The area of the whole room is 64*48=3,072 and when excluding the area of the carpet which is 9*13=117 you get 3,072-117=2,955 feet squared.

You might be interested in

Triangle ABC has vertices ofA(–6, 7), B(4, –1), and C(–2, –9).Find the length of the median from

Svetradugi [14.3K]

We know that in geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side. So, in a triangle there are three medians. We will find them.

As shown in the figure below, we have the medians:

P1C
P2A
P3B

We need to find P1, P2 and P3. The midpoint of the segment (x1, y1) to (x2, y2) is:

$(\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2})$

Therefore:

For the segment AB:

$P_{1} = ( \frac{4-6}{2}, \frac{7-1}{2})$
$P_{1} = (-1,3)$

For the segment BC:
$P_{2} = ( \frac{4-2}{2}, \frac{-1-9}{2})$
$P_{2} = (1,-5)$

For the segment CA:
$P_{3} = ( \frac{-6-2}{2}, \frac{7-9}{2})$
$P_{3} = (-4,-1)$

We know that the distance d between two points P1(x1,y1) and P2(x2,y2) is given by the formula:

$d = \sqrt{(x_{2}- x_{1})^{2}+(y_{2}- y_{1})^{2} }$

Then of each median is:

Median P1C:

$d_{1} = \sqrt{(-9-3)^{2}+(-2-(-1))^{2}} = \sqrt{145}$

Median P2A:

$d_{2} = \sqrt{(7-(-5))^{2}+(-6-1)^{2}} = \sqrt{193}$

Median P3B:

$d_{3} = \sqrt{(-1-(-1))^{2}+(4-(-4))^{2} } = 8$

3 0

3 years ago

Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?

Illusion [34]

Answer:

A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.

Step-by-step explanation:

We have the equation:

|8 - 2*p| = 6

Remember that the equation:

|f(x)| = A

with A > 0

means that:

f(x) = A

f(x) = -A

Then for our case, we can rewrite:

|8 - 2*p| = 6

as:

(8 - 2*p) = 6

(8 - 2*p) = -6

Now we can solve these two equations to find the two possible values of p.

From the first one, we get:

8 - 2*p = 6

8 - 6 = 2*p

2 = 2*p

2/2 = p = 1

so one solution is p = 1

Now from the other equation, we can get the other solution:

(8 -2*p) = -6

8 - 2*p = -6

8 + 6 = 2*p

14 = 2*p

14/2 = p = 7

So the two solutions are p = 1 and p = 7

Then the correct option is:

"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."

5 0

2 years ago

What is 33(4/6)+43/4

Dennis_Churaev [7]

(132 + 198) + 10.75
how i got my answer:
33 x 4 = 132
33 x 6 = 198
and 43 divided by 4 = 10.75
i hope this helps! (if not lmk and i’ll help more)

3 0

2 years ago

Which ratios approximate pi ()?

kramer

9514 1404 393

Answer:

A: 66/21

E: 22/7

Step-by-step explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

A: 66/21 = 22/7 = 3 1/7

B: 60/20 = 3

C: 21/7 = 3

D: 45/15 = 3

E: 22/7 = 3 1/7

___

Comment on pi approximations

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.

5 0

3 years ago

% of 50 shirts is 35 shirts

Nitella [24]

the answer is 70% your welcome

4 0

3 years ago