Answer: There will be about 888,915 gallons of water left in the spherical tank.
First, we need to determine the volume of the tank. The volume formula for a sphere is (4/3)pi(r^3). All we have to do is input the 32 for pi and evaluate. You will have a volume of 137,189 cubic feet.
Now, multiply that by 7.5 and you will have 1,028,915 gallons of water in the tank.
Finally, just subtract the 140,000 gallons and we are at our answer.
Answer:
Two possible lengths for the legs A and B are:
B = 1cm
A = 14.97cm
Or:
B = 9cm
A = 12cm
Step-by-step explanation:
For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.
Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:
A^2 + B^2 = H^2
If we know that H = 15cm, then:
A^2 + B^2 = (15cm)^2
Now, let's isolate one of the legs:
A = √( (15cm)^2 - B^2)
Now we can just input different values of B there, and then solve the value for the other leg.
Then if we have:
B = 1cm
A = √( (15cm)^2 - (1cm)^2) = 14.97
Then we could have:
B = 1cm
A = 14.97cm
Now let's try with another value of B:
if B = 9cm, then:
A = √( (15cm)^2 - (9cm)^2) = 12 cm
Then we could have:
B = 9cm
A = 12cm
So we just found two possible lengths for the two legs of the triangle.
Answer:
B
Step-by-step explanation:
Because you have to solve for the variable, making it algebraic.
Answer: 7%
Step-by-step explanation:
Given: Initial jobs = 428.5 thousand
Average rate of declining of jobs from 2010 to 2020 = 3 thousand jobs per year
From 2010 to 2020 , there are 10 years.
Total jobs declines till 2020 = 10 x (3 thousand)
= 30 thousand (Change in jobs)
Now, utilities percent change for 2010 to 2020 : 
Utilities percent change for 2010 to 2020 = 7 %
The two numbers are (5+ √(129))/2 and (5-√(129))/2.
(5+ √(129))/2+ (5-√(129))/2= 5
(5+ √(129))/2* (5-√(129))/2= -26
Hope this helps~
