From my research, the image attached supports the problem. Since only the outer curve is to be solved for, the formula for arcs can be used.

s = theta*radius

where s = arc length = outer curve

theta = 70 (pi/180)
radius = 70

s = 70 * (70*pi/180)
s = 85.52 feet

Therefore, the outer curve is 85.52 feet long

6 0

2 years ago

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The frequency distribution below represents the rents of 250 randomly selected federally subsidized apartments in Washington D.C

Naily [24]

Answer:

92%

Step-by-step explanation:

The percentage of apartments rented for less than $600 is given by the sum of all of the apartments in the 300 to 400, 400 to 500 and 500 to 600 intervals divided by the total number of apartments sampled (250).

$P(X$

92% of the apartments rented for less than $600.

5 0

2 years ago

If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to

Fudgin [204]

Answer:

<em>55mph . None of the options are correct </em>

Step-by-step explanation:

If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;

v is the speed

t is the time taken

Hence;

v = k/t with k being the constant of proportionality.

Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:

55 = k/5

Cross multiply

k = 55*5

k = 275

Hence, to calculate the speed it will Martin to drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t as shownl

v = 275/5

v = 55 mph

<em>Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.</em>

3 0

2 years ago