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agasfer [191]
4 years ago
8

A house has 3 rectangular countertops. Each countertop is 4 3/8 by 2 2/5 feet. How many square feet of tile is needed to cover a

ll of the countertops?
Mathematics
1 answer:
Oksana_A [137]4 years ago
8 0

Answer:

31\frac{1}{2}ft^2

Step-by-step explanation:

From the information given each of the three rectangular countertops has dimension 4\frac{3}{8} by  2\frac{2}{5} feet.

The area of a rectangular shapes is the product of the dimensions.

Each rectangular countertop has area;

4\frac{3}{8}\times 2\frac{2}{5}=\frac{35}{8}\times \frac{12}{5} =10\frac{1}{2}ft^2

Therefore the number of square feet tiles needed to cover all the countertops is =3\times 10\frac{1}{2}=31\frac{1}{2}ft^2

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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7 − x 2 y=7-x2. what are the dime
slega [8]
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7 − x 2 y=7-x2. what are the dimensions of such a rectangle with the greatest possible area?

5 0
4 years ago
An isosceles triangle whose equal sides measure 8 and whose altitude drawn to the base measures 8
viva [34]

The question is incomplete, the complete question is here

Find the measures of the angles of an isosceles triangle whose equal sides measure 8 and whose altitude drawn to the base measures 4

Answer:

The measures of the angles of the isosceles triangle are 30°, 30° and 120°

Step-by-step explanation:

In a triangle whose sides a, b, c and angles A, B and C, where a is opposite to ∠A, b is opposite to ∠B, and c is opposite to ∠C, the given is

  • a = c
  • m∠A = m∠C

The height from ∠B to side b is 4 units

That means the length of the height is half the length of each equal sides, then there is a right triangle its hypotenuse is 8 and the side opposite to the base angle is 4, so we can find the measure of the base angle by using the rule sin(base angle) = \frac{altitude}{a}

∵ The base angles are ∠A and ∠C

∵ a = c = 8

∵ The altitude to b is 4

∵ sin(A)=\frac{4}{8}=\frac{1}{2}

- By using  sin^{-1}

∴ m∠A = sin^{-1}(\frac{1}{2})

∴ m∠A = 30°

∵ m∠A = m∠C

∴ m∠C = 30°  

Use the rule of the sum of the measures of the interior angle of a Δ is 180° to find m∠B

∵ m∠A + m∠C + m∠B = 180

∵ m∠A = m∠C = 30° 

∴ 30° + 30° + m∠B = 180°

∴ 60 + m∠B = 180

- Subtract 60 from both sides

∴ m∠B = 120°

The measures of the angles of the isosceles triangle are 30°, 30° and 120°

5 0
3 years ago
The difference between 4,632 and 20,000 is what number
vlabodo [156]
4.632-20'000=(5'000-368)-20'000=(-15'000)-328=-15328
7 0
3 years ago
My question is 4318 divided by 7 please tell me
Vikki [24]
<span>1.You should set up the long division.
</span>


2 <span>Calculate 43 ÷ 7, which is 6 with a remainder of 1.
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3 <span>Bring down 1, so that 11 is large enough to be divided by 7.
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4 <span>Calculate 11 ÷ 7, which is 1 with a remainder of 4.
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5 <span>Bring down 8, so that 48 is large enough to be divided by 7.
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6 <span>Calculate 48 ÷ 7, which is 6 with a remainder of 6.
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5 0
3 years ago
Read 2 more answers
Harpreet, Sukhpreet and Komalpreet are three sisters. Sukhpreet is x years old. Harpreet is 3 years older than Sukhpreet. Komalp
Ira Lisetskai [31]

Answer:

12

Step-by-step explanation:

Givens

Harpreet        = x + 3

Sukhpreet     = x

Komalpreet   = 2*(x + 3)

Average Age = 15

Equation

[(x + 3) + x + 2*(x + 3) ] / 3 = 15                  Multiply both sides by 3

Solution

3 [(x + 3) + x + 2*(x + 3) ] / 3 = 15 * 3         Combine

 [(x + 3) + x + 2*(x + 3) ]       =   45             Remove the brackets

x + 3 + x + 2x + 6                 =   45             Combine like terms

4x + 9 = 45                                                 Subtract 9 from both sides

4x + 9 - 9 = 45 - 9                                       Combine

4x = 36                                                         Divide by 4

4x/4 = 36/4

x = 9

Answer

Harpreet is  x+ 3 = 9 + 3 = 12

3 0
3 years ago
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