7. What is the volume of the rectangular prism? 4.8 mm 6.4 mm 14.2 mm

0.34 x ? =3.4 what is the value of the missing number

Serggg [28]

Answer:

10

Step-by-step explanation:

0.34 * 10 = 3.4

3 0

3 years ago

luvenia can row 4mph in still water. She takes as long to row 7 mi upstream as 21 mi downstream. how

xeze [42]

Answer:

The speed of the river is 2mph.

Step-by-step explanation:

I guess that we want to find the speed of the river.

First, remember the relation: speed*time = distance

If the speed of the river is Sr, when Luvenia moves downstream (in the same direction that the flow of the water) the total speed will be equal to the speed of Luvenia in still water plus the speed of the water:

Sd = 4mph + Sr

and at this speed, in a time T, she can move 21 miles, so we have:

Sd*T = (4mph + Sr)*T = 21 mi

When moving upstream, the speed will be:

Su = (4mph - Sr)

and in the same time T as before, she moves 7 miles, so we have the equation:

Su*T = (4mph - Sr)*T = 7 mi

Then we have two equations:

(4mph + Sr)*T = 21 mi

(4mph - Sr)*T = 7 mi

Now we can take the quotient of those two equations and get:

((4mph + Sr)*T)/((4mph - Sr)*T) = 21/7

The time T vanishes, and we can solve it for Sr.

(4mph + Sr)/(4mph - Sr) = 3

4mph + Sr = 3*(4mph - Sr) = 12mph - 3*Sr

4*Sr = 12mph - 4mph = 8mph

Sr = 8mph/4 = 2mph.

7 0

4 years ago

Yeah another one ha ha

boyakko [2]

Answer:

16.75 cubic inches

Step-by-step explanation:

Key skills needed: Volume of a cylinder, Volume of a sphere

1) To get the answer to this problem, you need to understand two formulas: The volume of a sphere, and The volume of a cylinder.

Volume of a sphere --> $V= \frac{4}{3}\pi r^3$ (V = volume, and r = radius)
Volume of a cylinder --> $V = \pi r^2h$ (V = volume, r = radius,h = height)

These formulas will be needed.

2) In order to solve this problem, we need to find the volumes of both, and the subtract them from one another to find the difference.

3) Let's start by finding the volumes:

Cylinder --> $V = \pi r^2h$

We have the radius (which is 2) and the height (which is 4)

This means we can solve --> $V = \pi(2^2)(4)$

2 squared is 4, so then it would be --> $V = \pi (4)(4)$
4 times 4 is 16 so $V = 16\pi$ ---> 16 pi is the same as 50.24 cubic inches (if you use 3.14 as pi).
Next is the Sphere--> $V = \frac{4}{3}\pi r^3$

We have the radius (which is 2) so we can solve

$V = \frac{4}{3}\pi (2^3)$
2 cubed is 8, so it would be --> $V = \frac{4}{3}\pi (8)$
8 times 4/3 is 32/3 so --> $V = \frac{32}{3}\pi$ --> which is Around 33.51 cubic inches