Answer:

Step-by-step explanation:
We have been given the equation

Take square root both sides. When ever we take square root, we include plus minus sign

Now, subtract 6 to both sides of the equation

Divide both sides by 5


In decimal we have

Answer:
Explanation:
A. The minimum possible length of the rug is 1.
B. The maximum area of the rug is 2m^2
Step-by-step explanation:
the members of B are 4,8,12
the members of C are 0 2 3
Answer:
We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.
If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D
We know that the area of the larger circle is:
A = 100*pi cm^2.
And the area of a circle of diameter d, is:
a = pi*(d/2)^2
knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.
A = pi*( (5/3)*D/2)^2 = 100*pi cm^2
let's solve this for D:
pi*( (5/3)*D/2)^2 = 100*pi cm^2
( (5/3)*D/2)^2 = 100 cm^2
( (5/3)*D/2) = √(100 cm^2) = 10cm
D/2 = (3/5)*10cm
D = 2*(3/5)*10cm = 12cm.
Then the area of the smaller circle will be:
a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2
and pi = 3.14
a = pi*36 cm^2 = 3.14*36cm^2 = 113.04 cm^2
<u><em>#1 is 6.34
</em></u>
<u><em>#2 is 27.25
</em></u>
<u><em>#3 is Gallons of gas use for work and errands is 10.
</em></u>
<u><em>#4 is 215
</em></u>
<u><em>Hope this helps</em></u>