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2 years ago

A farm has 8 cows, 28 chickens, 4 pigs, and 12 goats. which ratio is the

Mathematics

1 answer:

QveST [7]2 years ago

3 0

Answer:

Step-by-step explanation:

ratio of pigs to chickens = 4/28, which simplifies to 1/12

ratio of goats to chickens = 12/28, which simplifies to 3/7

ratio of cows to goats = 8/12, which simplifies to 2/3

ratio of pigs to cows = 4/8, which simplifies to 1/2

since 2/3 is the largest, the answer is C

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The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the

Naily [24]

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be $1.5r$ .

We will use lateral surface area of pyramid to solve our given problem.

$LSA=2\pi r h$ , where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

$LSA=2\pi r\cdot (1.5)r$

Now we will find the total surface area of cylinder.

$TSA=2\pi r(r+h)$

$TSA=2\pi r(r+1.5r)$

$TSA=2\pi r(2.5r)$

$\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}$

$\frac{TSA}{LSA}=\frac{2.5r}{1.5r}$

$\frac{TSA}{LSA}=\frac{25}{15}$

$\frac{TSA}{LSA}=\frac{5}{3}$

Therefore, the ratio of total surface area to lateral surface area is $5:3$ .

4 0

2 years ago

The perimeter of an isosceles triangle is 7.5m, and the length of a leg is 2m. Find the length of the base.

seraphim [82]

The legs of an isosceles triangle are congruent; they have the same length, so if one leg measures 2 m, the other leg also measures 2 m.

2m + 2m + b = 7.5 m

b + 4 m = 7.5 m

b = 3.5 m

The length of the base is 3.5 m.

5 0

2 years ago

The ratio of the ages of three children is 2:4:5. The sum of their ages is 33. What is the age of each child?

sdas [7]

We can represent this situation by the equation 2x+4x+5x=33.

Then 11x=33, and x = 3.

Then the children's ages are in the ratio 2x:4x:5x, or 2(3):4(3):5(3), or

6:12:15.

Do these 3 ages add up to 33? 6 + 12 + 15 = 33? YES!

The children's ages are 6, 12 and 15 years respectively.

4 0

3 years ago

Read 2 more answers

Jakes phone will play music for 12 hours on a full charge . He has been using it for 3 hours . What percent of a full charge is

iogann1982 [59]

Answer:

75%

Step-by-step explanation:

3/12 =1/4

so 1/4 of 100% = 75%

3 0

2 years ago