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3 years ago

A cylinder shaped water tank has a diameter of 8 m and a height of 20 m.

Mathematics

1 answer:

aev [14]3 years ago

7 0

Answer:

602.88 cu ft.

Step-by-step explanation:

V = Bh where B is the area of the base, which is a circle in your problem.

Since the diameter is 8, the radius is 4.

So, B = $\pi r^{2} = 3.14(4^{2} ) = 3.14(16) = 50.24$

V = Bh = 50.24(20) = 1004.8 cu ft = total volume of tank

60% of that volume is .60(1004.8) = 602.88 cu ft.

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What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

The correct question is

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

Verify

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

5 0

3 years ago

Give the rate in miles per hour. Round to the nearest tenth. Caroline walks 9 inches per second.

True [87]

Answer: 360 miles per hour…………………

8 0

3 years ago

A person places $103 in an investment account earning an annual rate of 1.9%, compounded continuously. Using the formula V = P e

Advocard [28]

Answer:

$115.36

Step-by-step explanation:

Given data

P=$103

r=1.9%

t= 6 years

The expression for the amount is given as

$V = P e ^{r t}$

substitute

$V = 103*e^{0.019 *6}$

$V = 103*e^{0.114}\\\\V = 103*1.120\\\\V = 115.36\\\\$

Hence the final amount is $115.36

7 0

3 years ago

Solve for y: 1.7-(3+2.4y) = 4(3y-2.91)

frez [133]

1.7-3-2.4y= 12y-11.64

-1.3-2.4y = 12y - 11.64

-2.4y = 12y - 11.64

-14.4y = -10.34

y= 10.34/14.4= 5.17/7.20 or 517/720

6 0

3 years ago

The Roosevelt Branch Library is open daily from 9:00 A.M. until 4:30 P.M., 255 days a year. How many hours in all is the library

kramer

Lets look at the hours they are open from. 9 am - 4:30 pm which is 7 and a half hours a day. Now we multiply 7 1/2 by the number of days they are open, which will be 7 1/2 * 255 = 1,912.5. This means that the library is open 1,912 1/2 hours a year.

I hope I've helped! :)

3 0

3 years ago

Read 2 more answers