Answer:
15 miles
Step-by-step explanation:
Let 
be the miles in the circular park path, 
the time Louisa takes to finish and 
the time Calvin takes to finish both in hours.
Then , the longitude is equal to the velocity times the time used to finish. So
And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:
Three equations, three unknowns, the system can be solved.
Equalizing the equation with x :
In this last equation replace with the other equation and solve:
With Louisa's time find x:
Answer:
He would need 58 yards of material.
Step-by-step explanation:
If there are 4 sets of pillows and comfoters, that means there are 8 pillows and 4 comfoters.
If each pillow uses 0.75 yards of material, 8x0.75= 6
If each comfoters uses 13 yards of material, 4x13= 52
6+52= 58 yards of material.
It's obviously none of the above because the true area will have a square root of 3 in it because of the equilateral triangle. They want us to find the approximate area. When I was in school the difference between an approximation and the exact answer was greatly stressed but that seems to be fading of late.
That's a rectangle less an equilateral triangle. The area of an equilateral triangle is 
which is easily derived but I won't bother here.
Answer: b
Answer:
Step-by-step explanation:
We have been given that Juan cuts a piece of rope that is 16 meter long into 2 equal pieces. We are asked to find the length of each shorter piece of rope.
To find length of each shorter piece of rope, we will divide total length of rope by 2 because Juan cuts the rope into two equal pieces.
Therefore, the length of each shorter piece of rope would be 8 inches.
Answer:
0.9325
Step-by-step explanation:
Given
n = sample size = 80
p = probability = 0.4
q = 1 – p = 0..6
standard deviation for the proportion = √ (p * q) /n = √(0.4*0.6)/80 = 0.0547
for the proportion mean is 0.4
now we can find z and the probability
P (0.3<mean<0.5) = P((0.3– 0.4)/0.0547 < z < (0.5– 0.4)/0.0547)
P (0.3<mean<0.5) = P(-1.828< z < 1.828)
Using a z table
P (0.3<mean<0.5) = 0.9325
