All categories

3 years ago

Volume questionnnnnn

Mathematics

1 answer:

qaws [65]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

What is the y-intercept: y + 2 - X= 0

Nat2105 [25]

Try doing (0,-2) for the y intercept

5 0

3 years ago

The sum of the circumference of a circle and the perimeter of a square is 24. Find the dimensions of the circle and square that

lyudmila [28]

Answer:

The radius of the circle is $r=1.68\ units$

The length of the square is $x=3.36\ units$

Step-by-step explanation:

we know that

The circumference of a circle is equal to $C=2\pi r$

The perimeter of the square is equal to $P=4x$

$24=2\pi r+4x$

Simplify

$12=\pi r+2x$

$x=(12-\pi r)/2$ -----> equation A

The area of a circle is equal to $A=\pi r^{2}$

The area of a square is $A=x^{2}$

The total area is equal to

$At=\pi r^{2}+x^{2}$ -----> equation B

substitute equation A in equation B

$At=\pi r^{2}+[(12-\pi r)/2]^{2}$

This is a vertical parabola open upward

The vertex is the minimum

The x-coordinate of the vertex is the radius of the circle that produce a minimum area

The y-coordinate of the vertex is the minimum area

Solve by graphing

The vertex is the point (1.68, 20.164)

see the attached figure

therefore

The radius of the circle is

$r=1.68\ units$

Find the value of x

$x=(12-\pi r)/2$

assume

$\pi =3.14$

$x=(12-(3.14)*(1.68))/2$

$x=3.36\ units$

8 0

3 years ago

a shopkeepee bought 7 books for rs.525 and sold 4 books for rs 360 .if he/she sold the remaining books at the same rate of cost

AnnyKZ [126]

Answer:

His profit is 105 rs

Step-by-step explanation:

if he bought 7 books for 525 RS,that means 1 book costs 75 rs

if he sold 4 books for 360 RS,that means 1 boo costs 90 RS

90×7=630.

630-525=105

8 0

3 years ago

What is the area of the triangle?<br> Is this correct?

kobusy [5.1K]

Answer:

6.36

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through point P and is parallelto the line with the given equation.P(-2, 1), 10x + 4y

Klio2033 [76]

$\begin{gathered} 10x+4y=-8 \\ 4y=-10x-8 \\ y=-\frac{10}{4}x-2 \\ \text{The slope is m=-}\frac{10}{4} \\ \text{The new equation is-} \\ y-1=-\frac{10}{4}(x+2) \\ 4y-4=-10x-20 \\ 4y=-10x-16 \\ y=-\frac{10}{4}x-4\text{ (equation)} \\ \\ m=-\frac{10}{4} \\ b=-16 \end{gathered}$

5 0

1 year ago