A circular rug has a diameter of 3 feet.
Part A: What is the area, in square feet, of the rug
rounded to the nearest whole number?
Part B: What is the circumference, in feet, of the
rug rounded to the nearest whole number?
2
a = Th Formula for area
C=2111
Formula for finding circumference

My best interpretation of the math here is that you're talking about the line integral,

[tex]\displaystyle \int_C \left(y+e^{\sqrt x}\right) \, dx + \left(2x + \cos\left(y^2\right)\right) \, dy[/tex]

I won't bother trying to decipher what look like multiple choice solutions.

By Green's theorem, the line integral above is equivalent to

[tex]\displaystyle \iint_D \frac{\partial\left(2x+\cos\left(y^2\right)\right)}{\partial x} - \frac{\partial\left(y+e^{\sqrt x}\right)}{\partial y} \, dx \, dy[/tex]

where D is the set

[tex]D = \left\{ (x, y) : 0 \le x \le 1 \text{ and } 0 \le y \le x^2 \right\}[/tex]

Compute the double integral:

[tex]\displaystyle \int_0^1 \int_0^{x^2} \left(2 - 1\right) \, dy \, dx = \int_0^1 \int_0^{x^2} dy \, dx = \int_0^1 x^2 \, dx = \boxed{\frac13}[/tex]

Answer:

(4,-1)

Step-by-step explanation:

See attachment

Answer:

-8

Step-by-step explanation:

2*3+2*4-26+4

6+8-22

14-22=-8

Answer:

false because it's the equal sign

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

This is true because 4 is less than or equal to 4

Answer:

1×24. 1×18

2×12. 2×9

3×8. 3×6

4×6

Step-by-step explanation:

Here is a little thing to help you remember.Factors are the numbers that you multiply to get the product.

Answer:

{1, 2, 3, 6}

Step-by-step explanation:

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.

How? Well:

24 : 1 = 24

24 : 2 = 12

24 : 3 = 8

24 : 4 = 6

24 : 6 = 4 and so on.

Factors of 18: 1, 2, 3, 6, 9, 18.

Just like how it was done for the factors of 24.

The shaded overlap, includes simultaneously all the numbers, that are factors of 24, AND 18, being them: 1, 2, 3, 6.

Answer:Whats the prompt so I know what to do?

Step-by-step explanation:

Answer:

To ensure that your sample is representative of the population, you will want to use a probability sample. A representative sample refers to whether the characteristics (race, age, income, education, etc) of the sample are the same as the population.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Step 1: do prime factorisation of 360

360=2 ×2×2×3×3×5

Step 2:  make pair of 2  same digits

Step 3: now multiply unpaired no.

   5×2=10

so your answer is 10

Answer:

let the original price be 100%

then,100%-38%=62%

if 38% decrease =$27.28

let,62%decrease=x

by cross multiplying and dividing

x=$44.51 decrease

the sum of the %decrease=100%

also$44.51+$27.28=original price=$71.79

Answer:

36 teachers

Step-by-step explanation:

total students=128+121+135=384

groups of 32=384/8=12

teachers=12x3=36

Answer:

15

Step-by-step explanation:

Answer:

x = 49

Step-by-step explanation:

The third side of the largest of the inner triangles:

= [tex]\sqrt{(7\sqrt{(33)^{2} }- (33)^{2}[/tex]

=[tex]\sqrt{528} =\sqrt{(16)(33)} =4\sqrt{33}[/tex]

The side that continues next to 33: x -33

Applying similarity property on right triangles:

[tex]\frac{33}{4\sqrt{33} } =\frac{4\sqrt{33} }{x-33}[/tex]

[tex](33)(x-33)=(4\sqrt{33} )^{2}[/tex]

[tex]33x-1089=528[/tex]

[tex]33x=528+1089[/tex]

[tex]x=\frac{528+1089}{33} =49[/tex]

Hope this helps

Answer:

angle 2 and 3 are vertical angles

Step-by-step explanation:

because they are opposite angles made from two intersecting lines.

Answer:

hey this is your anwser -16e^8+20e^4

Step-by-step explanation:

hey i know we dont really know eachother but i think that girl in your pfp looks kinda cute i was wondering if you would like to get to know eachother better and get to be friends for a little bit and see if our relationship leads anywhere

are you intrested btw my name is mike and i am 15 years old i was borne march 2 2006

Answer:

two hours and thirteen minutes.

Step-by-step explanation:

count up from 3pm to 5pm to start with. That gives you two hours

we already have 38 minutes, now just subtract the 25 minutes he spent resting.

That leaves you with 2 hours and 13 minutes.

Correct me if I'm wrong I'm currently responding to this at a major lack of sleep lol

Step-by-step explanation:

17.

an addition is commutative. that means the sequence of the arguments of the operation does not matter (as long as the arguments are truly the same).

7x + 1 = 1 + 7x

1 = 1

0 = 0

is all true for any and every value of x.

so, yes, that's how I know that the expressions are equivalent.

18.

no, the case of 17 does not apply, because she changed the arguments of the addition (not just the sequence).

to check :

7x + 1 = 1x + 7

6x = 6

x = 1

this is true for exactly one value of x. but definitely not fit every value of x.

and so, these 2 existing are not equivalent. they are 2 different functions with a crossing point.

Step-by-step explanation:

start with 390 000x 5.6 x 6

Answer:

x = 4√2

Step-by-step explanation:

if its a square, all sides similar of 4 units.

then the bottom and side length is 4 units

we need to find x, the diagonal.

formula: a²+b² =c²

            : 4² + 4² = c²

            : c = √16+16

            : c = √32

            : 4√2

Therefore x, the diagonal is 4√2

Answer:2x^2-23x-8

Step-by-step explanation: ASSUMING IT MEANS THE AREA OF THE SHADED AREA:  First you say that the area of the big circle

(4x-1)(x+8) minus (2x(x+4)) Then once you have that you just simplify, as shown on my paper:

Answer:

31.5

Step-by-step explanation: because 22.50 plus 40%=31.5 i hope that helped

Answer:

C

Step-by-step explanation:

c is the correct option

1% of 300 is    3    

So 64% of 300 is     192    

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

Further explanation:

To take 1% of 300, we just chop off the extra zeros. So that's how I got 3.

To go from 1% to 64%, that's a jump of "times 64". Meaning you multiply that '3' by 64 to get 64*3 = 192.

Notice that 192/300 = 0.64 = 64% to confirm the answer.

Percent: A number ratio expressed as a fraction of 100

Thus, 25% means 25 out of 100.

25 out of 100 = 25/100

Greatest common factor of 25 and 100 = 25

25 / 25 = 1

100 / 25 = 4

Answer: 1 / 4

Hope this helps!

Answer:

The height of the trapezoid would be 4 ft.

If you solve this equation,

2*26/5+8 ,

you'll get the answer.

First do the multiplication, then the subtraction, and finally the division.

Answer:

14

Step-by-step explanation:

1/2x = 1/7x + 5

1/2x - 1/7x = 5

7/14x - 2/14x = 5

5/14x = 5

x = 5 * 14/5

x = 14