Answer:
1386 square units
Step-by-step explanation:
Area of a cirlce = Pi x r^2 [ Pi is 22/7 as stated in question]
22/7 x 21^2 = 1386 sq. units
Answer:
overs the 'slope-intercept', or 'y = mx + b', form of straight-line equations. ... of information about a line, and you will have to come up with the equation of the line. ... Now I need to pick one of the points (it doesn't matter which one), and use it ...
Step-by-step explanation:
(2,7)
Answer:

Step-by-step explanation:
Let
be the volumes of the smaller and bigger cylinder.
The formula for the volume of a cylinder is given by :

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

So, the volume of the smaller cylinder is equal to
.
Answer:
x=3
Step-by-step explanation:
put the value of y=20 in equation
20=2(x+7)
20=2x+14
20-14=2x
6=2x
6/2=x
x=3
The answer is <span>The liquid must be in the cooler fewer than 10 minutes.
</span>
Let:
m - the number of minutes the liquid is in the cooler.
a - the starting temperature
The function is:
f(m) = a - 3 * m (Since the temperature decreases by 3°F each minute m, it has a negative sign)
Let:
m - <span>the number of minutes the liquid is in the cooler.
a - the starting temperature
</span>a = 90<span>°F
</span>
<span>The temperature of a liquid must stay above 60°F:
f(m) > 60
Thus:
</span>f(m) = a - 3 * m
f(m) > 60
a - 3 * m > 60
90 - 3m > 60
90 - 60 > 3m
30 > 3 m
30/3 > m
10 > m
Or m < 10. So the correct answer is The liquid must be in the cooler fewer than 10 minutes.