Answer:
Vp = 1 / 24 miles/min the speed in still water
Step-by-step explanation:
Lets call Vp speed of swimmer and Vw speed of water then:
Downstream Vp + Vw
Swimmer does 2 miles in 40 minutes then he does
1 mile in 20 minutes
Upstream Vp - Vw
Swimmer does 2 miles in 60 minutes then he does
1 mile in 30 minutes
We get the following system:
(Vp + Vw )* 20 = 1 (1) and
( Vp - Vw )* 30 = 1 (2)
Solving the system
From equation (1)
20*Vp + 20* Vw = 1 ⇒ Vw = ( 1 - 20*Vp ) /20
Plugging that value in the second equation
(Vp - Vw )* 30 = 1 ⇒ [ Vp - ( 1 - 20*Vp )/20 ] * 30 = 1
[20*Vp - 1 + 20*Vp ] * 30/20 = 1 ⇒ [ 40*Vp - 1 ] *30 = 20 or
[ 40*Vp - 1 ] *3 = 2
120* Vp - 3 = 2 ⇒ 120*Vp = 5 and Vw = 1 /120 miles/min
Vp = 5 / 120 miles/min or
Vp = 1 / 24 miles/min
and speed of water Vw = 1 / 120
Answer:
oI know that for a they are pretty much the same shape im not sure how else to desribe it sorry
Step-by-step explanation:
1. Approximate the measure of your angle. Angles can be categorized in three ways: acute, obtuse, and right. Acute angles are less than 90 degrees, obtuse angles are greater than 90 degrees, and right angles are exactly 90 degrees.
2. Place the origin over the center point, or vertex, of the angle you want to measure. The small hole in the middle of the protractor is the origin. Put the vertex of the angle with the center of the cross in the origin.
3. Rotate the protractor to line up one leg of the angle with the baseline. Maintain the vertex of the angle in the origin and rotate the protractor so that one of the legs of the angle falls on the baseline of the protractor.<span>The baseline is even to the edge, but is not the flat edge of the protractor. It is lined up with the center of the origin and the line projects to the start of the scale on either side.
</span>4. Follow the opposite leg of the angle up to the measurements on the protractor's arc. If the line does not pass through the protractor’s arc, make the angle's line longer until it does. You can align the edge of a piece of paper with the angle’s leg to pass beyond the edge of the protractor, continuing the line of the angle. The number the line passes through is the angle's measurement in degrees. <span><span>
</span></span>
Given:
The expression is
To find:
The error in Frankie's work.
Solution:
We need to simplify , so
and,
Now,
Therefore, there is error in Frankie's last step. In that step, he did not subtract the mixed fraction correctly.
Answer:
16 runner
Step-by-step explanation:
It is given that,
Each group will need to run a race that is 1/2 of a mile long. Each runner has to run 1/8 of a mile in the race.
Let there are x no of runners. ATQ,
So, there are 16 runner that are needed for each relay race group.
