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Lesechka [4]
3 years ago
8

James has 3 blueberry pies. He cuts each pie into twelfths. How many pieces will he have?

Mathematics
1 answer:
kondaur [170]3 years ago
5 0

Answer: 36 pieces


Step-by-step explanation:

3/(1/12)=36

3*12+36


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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
3241004551 [841]

Answer:

Step-by-step explanation:

The shape of the cottage is cube

The edge of the cube is of length is 26ft

L_1 = 26ft.

The roof is in form of a square with with length 17ft.

L_2 = 17ft.

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.

L_2 = 28 ft

Then, area of the roof is

A = 28²

A = 784 ft²

The triangular pyramid.

The triangular has four sides

Then,

Each of the area can be calculated using

A = ½ × b × h

Then, the four area of the triangular pyramid

A_total = 4 × ½ × b × h

A_total = 2 × b × h

The base of the triangle is 28ft.

The calculate the height of the triangle

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 is using Pythagoras theorem

a² = b² + c²

17² = 14² + h²

17² - 14² = h²

h² = 93

h = √93

Then, the area of the triangular pyramid is

A = 2 × b × h

A = 2 × 28 × √93

A = 540.04 ft²

Then, the area of the pyramid is approximately 540 ft², since the base of the pyramid cannot be seen.

But if we include the base, then, the total surface area is

A_t = A_triangular + A_base

A_t = 540 + 784

A_t = 1324 ft²

4 0
3 years ago
In a shortage caused by a hurricane gas prices rose 15% it is now $2.80/gallon what was the price before
mash [69]

2.80*.15=.42

2.80-.42= 2.38

the answer is $2.38 (this was the price before)

8 0
3 years ago
Two stores have competing back-to-school sale. Which store offers the better price per T-shirt? What is the price? Explain.
kiruha [24]
The store that is larger sells shirts at a better price because they have greater supply in comparison to the demand of shirts. The price is $2.99 because the larger store offers a discount of 10%.
5 0
2 years ago
ANSWER THIS CORRECTLY FOR BRAINLIEST (ALGEBRA)
Ronch [10]

Answer:

33.49 cubic inches

Step-by-step explanation:

8 0
2 years ago
What is 8(3+a)? Please answer
alisha [4.7K]

The Answer is

<h2>24 + 8a</h2>

or, 8a + 24

To get the answer we have to distribute the 8, which means we have to multiply both terms in the parentheses by 8.

8 x 3 = 24

8 x a = 8a

So the answer is 24 + 8a

<h3><u></u></h3>
7 0
2 years ago
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