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3 years ago

©Peter, Bridget and Caroline share some sweets in the ratio 2:5:2. Peter gets 14 sweets. How

Mathematics

1 answer:

andre [41]3 years ago

6 0

Answer: 35 sweets

Step-by-step explanation:

2:5:2= 9

peter= 2/9 x a= 14

it then turns to

9/2 x 14= 63

so bridget will get:

5/9 x 63

35 sweets

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18 * 16 = 288 combinations

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A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as the cylinder.

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The formula of a volume of a cylinder:

$V_{cylinder}=\pi r^2H$

The formula of a volume of a cone:

$V_{cone}=\dfrac{1}{3}\pi r^2H$

If a cone and a cylinder have the same radius and the same height, then a volume of a cylinder is three times greater than a volume of a cone.

$V_{cylinder}=3V_{cone}\\\\V_{cone}=\dfrac{1}{3}V_{cylinder}$

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3 years ago

If one batch needs 3/4 cups of oil. and she want to make 5 batches. how much would she need?

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Answer:

3.75 cups of oil or 3 and 3/4 cups of oil

Step-by-step explanation:

Simple

1 batch=0.75 cups of oil(3/4)

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Do all triangles have a hypotenuse, or only right triangles have a hypotenuse?

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Only Right triangles

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Consider triangle ABC. The legs have a length of 5 units each. What is the length of the hypotenuse of the triangle?

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Answer:

$5\sqrt{2}$ units.

Step-by-step explanation:

We have been given that two legs of triangle ABC measures 5 units each. We are asked to find the length of the hypotenuse.

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$\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2$

Substituting our given values in above equation we will get,

$\text{Hypotenuse}^2=5^2+5^2$

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Upon taking square root of both sides of our equation we will get,

$\text{Hypotenuse}=\sqrt{50}$

$\text{Hypotenuse}=\sqrt{25*2}$

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Therefore, the length of hypotenuse of triangle ABC is $5\sqrt{2}$ units.

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