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Citrus2011 [14]
2 years ago
10

A worker is handling the four of a rectangle room that is 12 feet by 15 feet.The tiles are square with side lengths 1 1/3 feet.

How many tiles are needed to cover the entire floor? Show your reasoning.Show your reasoning
Mathematics
1 answer:
Anon25 [30]2 years ago
3 0

Answer:

Step-by-step explanation:

The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as

Area = length × width

Area of the rectangular room would be

12 × 15 = 180 feet²

The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet

Area if each tile is

4/3 × 4/3 = 16/9 ft²

The number of tiles needed to cover the entire floor is

180/(16/9) = 180 × 9/16

= 101.25

102 tiles would be needed because the tiles must be whole numbers.

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(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
7 0
3 years ago
Find the range. Write your answer in algebraic notation (with the inequalities).
Svet_ta [14]

Answer:

(-3, infinity)

Step-by-step explanation:

Range the y values, meaning up and down. The highest point is neverending therefore, infinity. The lowest point is -3.

I'm pretty sure this is correct.

4 0
2 years ago
In a survey, 540 people, or 80%, said they attended a movie at least once a month. How many people were surveyed?
Deffense [45]
X = total amount of people

80% of x = 540
.8x = 540
x = 675

There were 675 people
8 0
3 years ago
The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value o
Yuki888 [10]

If the exponential function y=ab^x passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

y=ab^x

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function y=ab^x

25=ab^3............................(1)

Substitute x = 8 and y = 10 into the function y=ab^x

10=ab^8.............................(2)

Divide equation (2) by equation (1)

\frac{10}{25}=\frac{ab^8}{ab^3}  \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833

Therefore, if the exponential function y=ab^x passes through the points (3,25) and (8,10), the value of b is 0.833

Learn more on exponential functions here: brainly.com/question/12940982

6 0
2 years ago
In APRT, PS = 12 cm, UV = 2 cm, and ST = 7 cm. What is the measure of RV?​
Bezzdna [24]

Answer:

Which real-world situation involves division with a negative number?

splitting a $22.5 million company debt evenly among 2.4 million shareholders

converting 29.21 centimeters to inches by dividing by 2.54

calculating how much a 6.3 inch plant grew each day, on average

calculating the price of one pound of bananas if 3.9 pounds costs $2.34

Step-by-step explanation:

5 0
2 years ago
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