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Sever21 [200]
3 years ago
11

zoes living room rug is 3 feet wide and 7 feet long she will cover the rug with 6 inch cardboard pieces for a painting project h

ow many cardboard pieces will zoe need
Mathematics
2 answers:
Alexxandr [17]3 years ago
5 0

Zoe will need 84 pieces if they are 6” by 6”

aleksley [76]3 years ago
5 0

For this case we have that by definition, 1 foot equals 12 inches.

So:

3 \ ft = 36 \ in\\7 \ ft = 84 \ in

So, the area of the Zoes carpet is:

A = 36 * 84 = 3024 \ in ^ 2

If the cardboard pieces are6 \ in\ by\ 6 \ in, then the area is:

36 \ in ^ 2

To indicate the number of necessary pieces we divide:

\frac {3024} {36} = 84

Thus, 84 pieces of cardboard are needed

Answer:

84

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Which of the following congruency statements is correct?
xxMikexx [17]
I don’t think any of them are correct .. but I may be wrong
3 0
3 years ago
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A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square ce
never [62]

Answer:

The probability that the dart lands inside the triangle is 0.25

Step-by-step explanation:

* Lets explain how to find the probability of an event

- The probability of an Event = Number of favorable outcomes ÷ Total

  number of possible outcomes

- P(A) = n(E) ÷ n(S) , where

# P(A) means finding the probability of an event A

# n(E) means the number of favorable outcomes of an event

# n(S) means set of all possible outcomes of an event

- P(A) < 1

* Lets solve the problem

- A rectangular dartboard has an area of 648 cm²

- The triangular part of the dartboard has an area of 162 cm²

- A dart is randomly thrown at the dartboard

- The dart lands in the rectangle

∴ The area of the rectangle is the set of all possible outcomes n(S)

- The probability P(A) that the dart lands inside the triangle

∴ The area of the triangle is set of favorable outcomes of an

   event n(E)

∵ P(A) = n(E) ÷ n(S)

∴ P(T) = area of the triangle ÷ area of the rectangle

∵ Area of the rectangle is 648 cm²

∴ n(S) = 648

∵ The area of the triangle is 162 cm²

∴ n(E) = 162

∴ P(T) = 162 ÷ 648 = 1/4 = 0.25

* The probability that the dart lands inside the triangle is 0.25

5 0
3 years ago
You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost
vova2212 [387]

Answer:

$11 and $16

Step-by-step explanation:

let x be the cost of a student ticket then an adult ticket is x + 5 , then

3x + 7(x + 5) = 145 , that is

3x + 7x + 35 = 145

10x + 35 = 145 ( subtract 35 from both sides )

10x = 110 ( divide both sides by 10 )

x = 11

Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16

3 0
2 years ago
PLZZZZ HELP! BRAINLIEST :)
alisha [4.7K]

Answer: An exponential function

Step-by-step explanation:

The data curves upward, slowly becoming closer and closer to a vertical line.

Hope it helps <3

5 0
3 years ago
Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is in the shape of a square pyramid and
Zina [86]

Answer:

56√93 ≈ 540 ft²

Step-by-step explanation:

The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.

Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height / other leg is:

\sqrt{17^2-14^2} =\sqrt{289-196} =\sqrt{93}

We now have the dimensions of each triangle: the height is √93 and the base is 28. The area of a triangle is: A = (1/2) * b * h, so we have the following.

A = (1/2) * b * h

A = (1/2) * 28 * √93 = 14√93

Multiply this by 4:

14√93 * 4 = 56√93

The total surface area is 56√93 ≈ 540 ft².

4 0
3 years ago
Read 2 more answers
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