Answer:
About 90.73 meters/min.
Step-by-step explanation:
Dimensional analysis is done by multiplying the wanted unit over the current unit in equal measure, or the other way around.
First, we will convert feet to meters, using that 1 ft = .4048 m.
32ft/6.45sec * .3048m/1ft = 32/6.45sec * .3048m = 9.7536m/6.45 sec.
Second, we convert seconds to minutes, using that 60 sec = 1 min.
9.7536m/6.45sec * 60sec/1min = 9.7536*60m/6.45min ≈ 90.7311627m/min.
By using the base change formula, which states
The given equation is 
By substituting the values of log 5 and log 3.
= 1.46
Answer:
69.73 (units)
Step-by-step explanation:
Let's find the volume of the prism first.
Prism:
The dimensions of this prism are 6 x 5 x 4.
The formula to calculate the volume of this prism is b * h
b = 24 (6*4)
h = 5
V = 24 * 5
V = 120
Now we need to find the volume of the hole so that we can subtract it from the volume of the prism.
Cylinder:
The hole is a cylinder, with a height of 4 and a radius of 2.
The formula for finding the volume of a cylinder is πr^2 * h
r = 2
h = 4
V = (π * 2^2) * 4
V = 50.27
Now, subtract the volume of the cylinder from the volume of the prism:
120 - 50.27 = 69.73
And that is your answer!
Hope this helps!
A whole number is a number that has no fractional representation.
Let's test all the options for the value of x.
When dividing a fraction by another fraction, the divisor will be in its reciprocal form.
1. 3/4 × 2/3
= 6/12 = 1/2
1/2 isn't a whole number.
2. 3/4 × 2/1
= 6/4 = 3/2
3/2 isn't a whole number.
3. 3/4 × 6/1
= 18/4 = 9/2
9/2 isn't a whole number.
4. 3/4 × 8/1
= 24/4 = 6
6 is a whole number.
Hence the answer is 1/8.
Hope it helps. :)
Answer:
c. 7/10
Step-by-step explanation:
there are only 3 numbers from 1 to 10 which are multiples of 3. So you just subtract 3 from 10 to find those which are not multiples of 3.
So u get 7/10
Uh i dunno if i explained enough though
