Pls help extra points and mark brainlist easy reading

Answer:

volume of the solid = [tex]\frac{\pi }{3}[/tex]

Step-by-step explanation:

As given , the region : |x| + |y| [tex]\leq[/tex] 1

when y [tex]\geq[/tex] 0 ,

|x| + y = 1

⇒|x| = 1 - y

when y ≤ 0 ,

|x| - y = 1

⇒|x| = 1 + y

The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)

As given , the vertical cross section are semicircle

As we know that the area of semi circle  = [tex]\frac{1}{2}[/tex][tex]\pi x^{2}[/tex]

Now,

Volume = [tex]\int\limits^0_-1 {\frac{\pi }{2} (1+y)^{2} } \, dy[/tex] + [tex]\int\limits^1_0 {\frac{\pi }{2} (1-y)^{2} } \, dy[/tex]

            = [tex]\frac{\pi }{2} (\frac{(1+y)^{3} }{3} )[/tex] - [tex]\frac{\pi }{2} (\frac{(1-y)^{3} }{3} )[/tex]

           = [tex]\frac{\pi }{6}[/tex][1-0] - [tex]\frac{\pi }{6}[/tex][0-1]

           = [tex]\frac{\pi }{6} + \frac{\pi }{6} = 2\frac{\pi }{6} = \frac{\pi }{3}[/tex]

⇒volume of the solid = [tex]\frac{\pi }{3}[/tex]

Volume of the solid is the value of the capacity of the object that can be hold by it. Thus the value of the volume of the given solid is,

[tex]V=\dfrac{\pi}{3} [/tex]

The vertical cross sections of the solid is perpendicular to the y-axis.

The region of the base is,

[tex]|x|+ |y|\leq 1[/tex]

Volume of the solid is the value of the capacity of the object that can be hold by it.

When the value of the variable y is greater than or equal to zero than the value of the x is,

[tex]|x|=1-y[/tex]

When the value of the variable y is less than or equal to zero than the value of the x is,

[tex]|x|=1+y[/tex].

Given inequality makes a square with the corners (1,0), (0,1),(-1,0),(0,-1).

Now the limit for the given solid is between 0 to 1 and area is equal to the semicircle which is,

[tex]A=\dfrac{\pi x^2}{2} [/tex]

Thus the volume of the solid whose area bounded by the region 1 to -1 and vertical cross section is semicircle can be given as,

[tex]V=\int\limits^1_0 {\dfrac{\pi x^2}{2} } \, dx [/tex]

[tex]V=\dfrac{\pi}{2} [\;\;\int\limits^1_0 {(1+y)^2} \, dy +\int\limits^1_0 {(1-y)^2} \, dy ][/tex]

[tex]V=\dfrac{\pi}{2} [\;\;\dfrac{\int\limits^1_0 {(1+y)^3}}{3} \, +\dfrac{\int\limits^1_0 {(1-y)^3} \, }{3} ][/tex]

[tex]V=\dfrac{\pi}{6} [\;\;\ {(1-0)^3} \, +{(0-1)^3} \, ][/tex]

[tex]V=\dfrac{\pi}{3} [/tex]

Thus the value of the volume of the given solid is,

[tex]V=\dfrac{\pi}{3} [/tex]

Learn more about the volume of the solid here;

https://brainly.com/question/2254156

Answer:

Step-by-step explanation:the answer is 0.8020

Answer:

15 miles

Step-by-step explanation:

if she runs 5 miles in 40 minutes her average speed is 5÷40 = 0.125 miles per min

2 hours = 60 mins × 2 = 120 mins

if she runs 0.125 miles per minute, then 2 hrs = 120 mins × 0.125 = 15 miles

Answer: let's try 2.2 for the first one (sorry if i make you get it wrong but i tried)

Step-by-step explanation:

Answer:

Step-by-step explanation: 10 minutes are taken out of the hour so you are left with 50. 50 minutes into seconds is 3,000. Next you add the average amount of seconds for each task totaling to 234.6. The last step is to divide   the amount of time she has with the amount of time it takes to do the the task. 3,000/234.6 is 12.7877 or 12.79

Answer: wheres the attachment..

Step-by-step explanation:

=======================================================

Explanation:

VX is a midsegment and it is half as long compared to the parallel side UY. This means UY is twice as long compared to VX

UY = 2*(VX)

s = 2*(s-37)

s = 2s - 74

s-2s = -74

-s = -74

s = 74

This makes UY be 74 units long

So VX = (1/2)*UY = 0.5*74 = 37

Answer:

37

Step-by-step explanation:

The midsegment theorem states that a midsegment is half the measure of the line it is parallel to (the base).  So VX is 1/2 of UY. So:

2(s-37)=s

2s-74=s

s=74

VX= 37

Answer:  0.16 converted to a fraction is 4/25

Answer:

f(-5) = -74 you have to change the x to -5 and then solve

Answer:

0.11 per yard.

Step-by-step explanation:

Answer:

April 25 150 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

he is right i got a 100 in the test

The number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

New-release movies on DVD for $20 and classic movies on DVD for $8

x - the number of new releases,

y - he number of classics.

20x + 8y = 500

or

5x + 2y = 125

Using trial and error method:

Plug x = 16 and y = 22

5(16) + 2(22) = 125

= 80 + 44

= 124

Nearest to 125

Thus, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

Um the North China Plain

Step-by-step explanation:

Is dis math...

Answer:

first one is SAS

Step-by-step explanation:

Answer:

[tex]q=1.03\times 10^{-11}[/tex]

Step-by-step explanation:

Given that,

First number [tex]=4.13\times 10^{-8}[/tex]

Second number [tex]=0.04\times 10^{5}[/tex]

We need to find the quotient of first and the second number. It can be calculated by taking [tex]=4.13\times 10^{-8}[/tex] at numerator and [tex]=0.04\times 10^{5}[/tex] at denominator such that,

[tex]q=\dfrac{4.13\times 10^{-8}}{0.04\times 10^5}\\\\=\dfrac{4.13}{0.04}\times 10^{-8-5}\\\\=103.25\times 10^{-13}[/tex]

or

[tex]q=1.03\times 10^{-11}[/tex]

So, the final answer is [tex]1.03\times 10^{-11}[/tex]

Answer:

The answer is three less than

Step-by-step explanation:

Answer:

10 is ≈8.47% of 118

Step-by-step

(10/118)(100)

Answer:

uh 351,000? im not sure..

Step-by-step explanation:

Answer:

gravitational force or  A the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

it a

Answer:

c(h)=12h+6

because the swimsuit only needs to be paid for once, whereas the surfboard is charged on an hourly basis

12

3 + 3 + 3 + 3 = 12

3 x 4 = 12

Thanks!! <3

Answer: 20

Step-by-step explanation:

A quotient is th value that is gotten when two numbers are divided. Based on the information given in the question, let the number be represented by x.

Therefore, x/4 = 5

x = 4 × 5

x = 20

The number is 20

Answer:

Lol

Step-by-step explanation:

Freeeeeeee3ee points

Answer:

−a2+17b

Step-by-step explanation:

Answer:

The last lines are the final answers, if you need a deeper explanation let me know but I wanted to make sure you understood and got it in time.

Step-by-step explanation:

2(x+4)-3(y+2x)

2x+8-3y-6x

-4x-3y+8

2d+3(4d+2k)-3k

2d+12d+6k-3k

14d+3k

5(4m-2r+7)+4m+3r

20m-10r+35+4m+3r

24m-7r+35

I hope I didn't get anything wrong in a hurry!

Answer:

[tex]S_{10}=280[/tex]

Step-by-step explanation:

Given that,

[tex]t_n=2n+3[/tex] ...(1)

We need to find the value of [tex]S_{10}[/tex].

Put n = 1 to find the first term.

[tex]t_1=2(1)+3=5[/tex]

Put n = 2 to find the second term.

[tex]t_2=2(2)+3=7[/tex]

Put n = 3 to find the third term.

[tex]t_3=2(3)+3=9[/tex]

Put n = 10 to find the tenth term.

[tex]t_{10}=2(10)+3=23[/tex]

It means we need to find the sum of 5,7,9,.....,23.

The formula for the sum of n terms is given by :

[tex]S_=\dfrac{n}{2}(a+a_n)[/tex]

We have, n = 10, a = 5 and [tex]a_n=23[/tex]

So,

[tex]S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280[/tex]

So, the value of [tex]S_{10}[/tex] is equal to 280.

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Adding a negative number is the same thing as subtracting a positive number, so 86 + (-32) is the same thing as 86 - 32, which is 54.