Solve z=2/11c for c

The measure of an obtuse angle is 5y + 45 what are the restrictions on y?

Allushta [10]

5y+45=180
5y=135
y=135/5
y=27

6 0

4 years ago

Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that? ___minutes How many laps per minute is that? ___

snow_lady [41]

Answer:

a. 1.2 minutes

b. 0.83 laps

c. 25.2 minutes

Step-by-step explanation:

Lin runs 5 laps around a track in 6 minutes.

a. How many minutes per lap is that?

5 laps = 6 minutes

1 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 1 laps

x minute = 6 minutes × 1 laps/5 laps

x laps = 1.2 minutes

Hence, it is 1.2 minutes per lap

b. How many laps per minute is that?

6 minutes = 5 laps

1 minute = x laps

Cross Multiply

6 minutes × x laps = 1 minute × 5 laps

x laps = 1 minute × 5 laps/6 minutes

x laps = 0.8333333333 laps

Hence, it is 0.83 laps per minute.

c. If Lin runs 21 laps at the same rate,

5 laps = 6 minutes

21 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 21 laps

x minute = 6 minutes × 21 laps/5 laps

x laps = 25.2 minutes

Hence, it takes her 25.2 minutes

3 0

3 years ago

In a city of 64,000 people, there are 20,000 people under 25 years of age. What percent of the population is under 25 years of a

tatiyna

31.25% of the population is under 25 years of age. To figure this out, divide 20,000 by 64,000. Then, multiply that answer by 100 to get a percentage. Hope this helps!!

6 0

3 years ago

If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b

strojnjashka [21]

Surface area of box=1200 cm²
Volume of box=s²h 
s = side of square base 
h = height of box 
S.A. = s² + 4sh 
S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. 
1200 = s² + 4sh 
1200 - s² = 4sh 
(1200 - s²)/(4s) = h 

v(s) = s²((1200 - s²)/(4s)) 
v(s) = s(1200 - s²)/4 . 
v(s) = 300s - (1/4)s^3

by derivating
v'(s) = 300 - (3/4)s² 
0 = 300 - (3/4)s² 
-300 = (-3/4)s² 
400 = s² 
s = -20 and 20. 
again derivating
v"(s) = -(3/2)s 
v"(-20) = -(3/2)(-20) 
v"(-20) = 30 
v"(20) = -(3/2)(20) 
v"(20) = -30 

v(s) = 300s - (1/4)s^3 
v(s) = 300(20) - (1/4)(20)^3 
v(s) = 6000 - (1/4)(8000) 
v = 6000 - 2000
v=4000

4 0

3 years ago

Find the midpoint of points A (5,-6) and B(2,0) graphically

netineya [11]

I think its (3.5, -3)

8 0

3 years ago