I need help with this

Mathematics

1 answer:

Mama L [17]2 years ago

3 0

Volume formula: 1/3pir^2h

From this, 1/3(pi)(8^2)(15)= 1005.3

This is not a answer choice but… 1004.8 is the best choice they might have used 3.14 instead of the full pi

Hope this helps

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One-sixth the sum of eight and a number

Aleks04 [339]

Step-by-step explanation:

Let the number be x.

1 =8 + x

6×1=6×8+6×x

1=48+6x

1-48=6x

-47=6x

6. 6 x = -7 5

x is equal to minus seven whole number five divided by six.

7 0

3 years ago

A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to

tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

From the problem statement, we can formulate the following equations:

1. y + z = 30 ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120 ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90 ---> each animal has 2 eyes only

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

3 0

3 years ago

A cone has a diameter of 3 inches the cone holds 12 cubic inches of water to the nearest in what is the height

LUCKY_DIMON [66]

Answer:

5 inches

Step-by-step explanation:

A cone's volume can be found using the formula $V = \frac{1}{3} \pi r^2 h$ . If the cone has a diameter of 3 inches then its radius is half r= 1.5 inches. Substitute r = 1.5 and V = 12 cubic inches.