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3 years ago

Mike has a recipe that feeds one person that calls for 3/8 teaspoon

Mathematics

1 answer:

dangina [55]3 years ago

7 0

It is A the answer is A it is A

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Cube A is inscribed in sphere B, which is inscribed in cube C. If the sides of cube A have length 4, what is the volume of cube

Aleks04 [339]

Answer:

The volume of cube C is

$V=192\sqrt{3}\ units^3$

Step-by-step explanation:

step 1

Find the diameter of sphere B

we know that

When a cube is inscribed in a sphere, the long diagonal of the cube is a diameter of the sphere

Let

L ----> the length side of cube A

d ----> the diagonal of the base of cube A

D ---> the long diagonal of cube A

Find the diagonal of the base of cube A

Applying the Pythagorean Theorem

$d^2=L^2+L^2$

we have

$L=4\ units$

substitute

$d^2=4^2+4^2\\d^2=32\\d=4\sqrt{2}\ units$

Find the long diagonal of cube A

Applying the Pythagorean Theorem

$D^2=d^2+L^2$

substitute

$D^2=32+4^2\\D^2=48\\D=4\sqrt{3}\ units$

step 2

we know that

If sphere B is inscribed in cube C, then the length side of cube C is equal to the diameter of sphere B

Let

c ----> the length side of cube C

we have that

$c=4\sqrt{3}\ units$

The volume of cube C is equal to

$V=c^3$

substitute

$V=(4\sqrt{3})^3$

$V=192\sqrt{3}\ units^3$

4 0

3 years ago

PLEASE HELP 10 POINTS

Westkost [7]

1/28. The probability that both songs are rock songs is 1/28.

The easiest way to solve this problem is using probability.

This is a example of probability without replacement, using the probability property of P(A∩B) = P(A)*P(B).

The probability of choose a rock song is P(A) = 2/8, and the probability to choose the second song from the 7 songs remaining and be rock song assuming that the first song that she picked was rock song is P(B) = 1/7.

The probability that both songs are rock song is:

P(A∩B) = P(A)*P(B)

P(A∩B) = (2/8)(1/7) = 2/56

P(A∩B) = 1/28

8 0

3 years ago

Level

Dafna1 [17]

Answer:

113.04 ft²

Step-by-step explanation:

a=pi(r)²=pi(6)²=36pi or 113

5 0

2 years ago

Read 2 more answers

Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each

liubo4ka [24]

Answer:

C. Greg weighs 180 pounds, and Justin weighs 165 pounds

Step-by-step explanation:

let G be the weight of Greg and J be the weight of Justin

G -15=J

G/2 +75=J

G =J+15 (1)

G+150=2J. (2)

If We substitute G by J+15 in equation (2) we will get:

G =J+15

J+15+150=2J

G =J+15

J+15+150=2J

G =J+15

J+165=2J

then J=165 and G=165+15=180

6 0

3 years ago

What do in this problem?:

IgorC [24]

Answer:

After day 223,

Step-by-step explanation:

On day 223, both plants will be equal.

8 0

3 years ago