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djverab [1.8K]
3 years ago
9

Ashley has a rectangle made out of paper that is 8 cm by12 cm. She folds it in half twice, first vertically and then horizontall

y. The new rectangle looks just like the original rectangle but smaller. What is the area of the new smaller rectangle in square cm
Mathematics
1 answer:
Svetach [21]3 years ago
8 0

Answer:

Area =24cm^2

Step-by-step explanation:

Given

L = 8cm

W = 12cm

r = 2 -- folded twice

Required

The area of the new rectangle

When the length was folder, the new length is:

l = L/2 = 8cm/2 = 4cm

When the width was folder, the new width is:

w = W/2 = 12cm/2 = 6cm

So, the new area is:

Area =l * w

Area =4cm * 6cm

Area =24cm^2

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D. He needs 6 cups of flour for 3 batches

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Cylinder has a height of 15 centimeters and a radius of 10 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer t
tatuchka [14]

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3 years ago
Consider a steel ball floating on the surface of mercury in a half-filled container. What happens when the rest of the container
Helen [10]

Answer

The steel ball will be caught up in between the mercury and water medium.

Step-by-step explanation:

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  • water with a density of 1000 kg/m^3
  • Steel with a density of 8050 kg/m^3

From the factual density of both substances given above ,it shows that mercury is more heavier than water. In that case mercury will be at the lower layer when mixed with water.

The steel ball will be caught in between both mixtures as the density of  steel is 8050 kg/m^3.Which  is more than Water but less than Mercury.

8 0
3 years ago
the eccentricity of a hyperbola is defined as e=c/a. find an equation with vertices (1,-3) and (-3,-3) and e=5/2
Ksivusya [100]

Answer:

\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1.

Step-by-step explanation:

If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is \frac{(x - \alpha )^{2} }{a^{2} } - \frac{(y - \beta )^{2} }{b^{2} } = 1.

Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)

Hence, β = - 3 and α + a = 1 and α - a = -3

Now, solving those two equations of α and a we get,  

2α = - 2, ⇒ α = -1 and

a = 1 - α = 2.

Now, eccentricity of the hyperbola is given by b^{2} = a^{2}(e^{2}  - 1) = 4[(\frac{5}{2} )^{2} -1] = 21 {Since e = \frac{5}{2} given}

Therefore, the equation of the given hyperbola will be  

\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1. (Answer)

6 0
3 years ago
The ages, in years, of children at a birthday party, are 4, 7, 8, 2, 9, 6, 5, 5, 9, 7, 8. What is the median age?
sveticcg [70]

Answer:

The median age is 7.

Step-by-step explanation:

2, 4, 5, 5, 6, <u>7</u>, 7, 8, 8, 9, 9,

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Hope you found this helpful! :)

6 0
3 years ago
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