Please help——- Geometry problem

Thank you.

9514 1404 393

Answer:

  1385.4 yd³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h . . . . radius r and height h

For the given radius and height, the volume is ...

  V = π(7 yd)²(9 yd) = 441π yd³ ≈ 1385.4 yd³

Step-by-step explanation:

hope it helps youu.........

Answer:

32π²

Step-by-step explanation:

To solve this, we can use the washer method.

We can start by dividing the donut into horizontal sections. Each horizontal section is a hollow cylinder, with the inner cylinder's radius being the difference between x=4 and x²+y²=4, which can also be written as x = √(4-y²) (we do not need the negative x values as the inner cylinder does not encompass any part of the circle). This is (4-√(4-y²)) .

Similarly, the outer radius will be equal to the difference between 4 and the other side of the circle. This encompasses the circle and the extra area in between, so x will be negative here, making it (4-(-√(4-y²)) = 4+√(4-y²).

The area of the cylinder for a given Δy can be represented by

(4+√(4-y²))²πΔy - (4-√(4-y²))²πΔy. This space represents a cylinder in the donut created with the height being Δy. Simplifying the equation, we get

(4+√(4-y²))²πΔy - (4-√(4-y²))²πΔy = πΔy((4+√(4-y²))²- (4-√(4-y²))²)

(4+√(4-y²))²- (4-√(4-y²))² = 16+8√(4-y²) + 4-y² - (16-8√(4-y²)+4-y²)

= 16√(4-y²)

(4+√(4-y²))²πΔy - (4-√(4-y²))²πΔy = 16√(4-y²)πΔy

The donut ranges from all y values from -2 to 2, and to add all the areas of the cylinders up between these y values, we can make this an integral,

[tex]\int\limits^2_{-2} {16\pi \sqrt{4-y^2} \, dy\\[/tex]

perform u substitution, make y = 2sin(u). If y=2sin(u), then y/2 = sin(u) and arcsin(y/2) = u

[tex]\int\limits^2_{-2} {16\pi* 2cos(u) \sqrt{4-4sin^2(u)} \, du\\[/tex]

take the 32π out of the integral

[tex]32\pi\int\limits^2_{-2} {cos(u) \sqrt{4-4sin^2(u)} \, du\\\\= 32\pi\int\limits^2_{-2} {cos(u) *2cos(u)} \, du\\\\\\= 32\pi\int\limits^2_{-2} {2cos&^2(u)} \, du\\\\\\\\\\[/tex]

take the 2 out of the integral

[tex]64\pi\int\limits^2_{-2} {cos&^2(u)} \, du\\[/tex]

One reduction formula we can use here is that

[tex]\int\limits {cos^nx} \, dx = \frac{1}{n} cos^{n-1}(x) sin(x) +\frac{n-1}{n} \int\limits {cos^{n-2} (x)} \, dx[/tex]

Applying that here, we get

[tex]\int\limits {cos^2u} \, du = 0.5cos(u)sin(u) + 0.5 \int\limits {1} \, du\\= 0.5cos(arcsin(y/2))sin(arcsin(y/2)) + 0.5(arcsin(y/2))[/tex]

take that cos(arcsin(x)) = √(1-x²) and sin(arcsin(x)) = x and we get

[tex]\int\limits {cos^2u} \, du = 0.5\sqrt{1-y^2/4}*(y/2) + 0.5arcsin(y/2)\\= 0.25y\sqrt{1-y^2/4} + 0.5arcsin(y/2)\\[/tex]

multiply this back with the 64π to get

[tex]16\pi y\sqrt{1-y^2/4} + 32\pi arcsin(y/2)[/tex]

as our integral. Applying this to the bounds of [-2, 2], we get

16π(2)√(1-4/4) + 32πarcsin(1) - (16π(-2)√(1-4/4) + 32πarcsin(-1))

= 0 + 32π(π/2) - 32π(-π/2)

= 16π²+16π²

= 32π²

as our answer

Answer:

C

Step-by-step explanation:

Since they are pythagorian triplets, ABC is a right angled triangle at the angle between the arc 3 and arc 4. Theta is the angle opposite to 3 and hence tan(theta)=3/4

Answer:

y = 4x+1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 4x+1

Answer:

y = 4x + 1.

Step-by-step explanation:

The general slope-intercept form is

y = mx + c where m = the slope and c is the y-intercept.

Answer: infinitely many

Answer:

3/2 or 1.5

Step-by-step explanation:

Hey there!

[tex]\huge\boxed{\mathsf{1\dfrac{1}{2}}}}\\\huge\boxed{\mathsf{\rightarrow \dfrac{1\times1+2}{2}}}\\\\\\\huge\boxed{{1\times1+2}}\\\huge\boxed{= 1+2}\\\huge\boxed{=3}\\\\\\\huge\boxed{\rightarrow \mathsf{\dfrac{3}{2}}}\\\\\\\huge\boxed{\textsf{Answer: }\bf \dfrac{3}{2}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

The area of the yard is 7200 square feet.

Step-by-step explanation:

You just multiply your step count by 3. So 20 would be 60 and 40 would be 120. Multiply your results and you get 7200 square feet.

Answer:

560

Step-by-step explanation:

Let x be the original price

27% off

original price minus discount = new price

x - .27x = new price

.73x = new price

.73x = 409

Divide each side by .73

.73x/.73 = 409/.73

x=560.2739726

To the nearest dollar

x = 560

Answer:

25

Step-by-step explanation:

Each table requires = 158 quarts paint

Each chair = 23 quarts of paint

Total no. Of coats = 1

Total chairs = 8

Total table = 2

Total paint required = (158×2)+(23×8)

= 500 quarts of paint

Must click thanks and mark brainliest

Points are

[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{3-13}{-2+2}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-10}{0}[/tex]

[tex]\\ \sf\longmapsto m=0[/tex]

Answer:

5

Step-by-step explanation:

Subtract  

5

from  

10

.

|

5

|

The absolute value is the distance between a number and zero. The distance between  

0

and  

5

is  

5

.

5

⇛L = W + 5

⇛L × W = 150 sq. units

⇛W (W + 5) = 150

⇛W² + 5W = 150

⇛W² + 5W - 150 = 0

⇛[(W - 10) (W + 15)] = 0

⇛W = -10 , 15 (reject negative width)

☞ Width of rectangle is 10 units

☞ Length of rectangle is 15 units

the answer is: combation

Answer:

With a higher interest rate, you get more money per period, that acuminates.

The Present value is the starting amount... If the final amount is the same in both scenarios, and you get more interest in the second situation, you can start with a lower amount

Step-by-step explanation:

[tex]PV = CF / (1 + r) t[/tex]

pv1 = 25000/(1.062)^15 = $10,140.80

pv2 = 25000/(1.096)^15 = $6,320.94

9514 1404 393

Answer:

  c) 16,500 m³

  d) 277,088 mm³

  a) V = LWH

  b) V = πr²h

Step-by-step explanation:

The relevant volume formulas are ...

__

13c. The pyramid formula above tells us the volume is ...

  V = 1/3(60 m)(15 m)(55 m) = 16,500 m³

__

13d. The cylinder formula above tells us the volume is ...

  V = π(35 mm)²(72 mm) ≈ 277,088 mm³ ≈ 277 mL

__

14a. The shape appears to be a rectangular prism, so its volume is given by the formula ...

  V = LWH . . . . . where L, W, H represent the length, width, and height

__

14b. The volume of a cylinder is given by the formula ...

  V = πr²h . . . . . where r, h represent the radius and height (length)

Answer: m = 1/b

Step-by-step explanation: Unfortunately, I can't give you a picture of the slope, but take that formula I gave you and enter it into a graphing calculator and it will show you the slope. I recommend desmos online calculator, good luck

Answer:

B)21

Step-by-step explanation:

∠KN=∠ML

∠KN=90°+15°

=105°

∠ML=105°

5x°=105°

x°=105÷5

x°=21°

Answer:

[tex]5x=90+15[/tex]

Add, 90 + 15 = 105

[tex]5x=105[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{105}{5}[/tex]

[tex]x=21[/tex]°

[tex]\textbf{OAmalOHopeO}[/tex]

Answer:

3

Step-by-step explanation:

2(4x-3)-8=4+2x

8x - 6 - 8 = 4 + 2x

8x - 2x = 4 + 6 + 8

6x = 18

x = 18/6

x = 3

Answer:

[tex]2(4x - 3) - 8 = 4 + 2x \\ 2 \times 4x + 2 \times - 3 - 8 = 4 + 2x \\ according \: to \: bodmas \: first \: \times then + or - \\ so \\ 8x - 6 - 8 = 4 + 2x \\ 8x - 14 = 4 + 2x \\ 8x - 2x = 4 + 14 \\ 6x = 18 \\ x = \frac{18}{6} \\ x = 3 \\ thank \: you[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The value of d is the average of the maximum and the minimum.

  d = (-4 +-5)/2 = -9/2 = -4.5

The value of 'a' is the difference between the maximum and d.

  a = -4 -(-4.5) = 0.5

The value of b is 2π divided by the period. Here, the half-period is 3.5 -(-1) = 4.5, so ...

  b = 2π/9 = π/4.5

The value of c is the value that makes the cosine argument zero at x=3.5.

  (π/4.5)(3.5) +c = 0

  c = -7π/9

Answer:

Step-by-step explanation:

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Answer:

15×10^-6 cubic meter

Step-by-step explanation:

The volume of the stone is, 195-180 = 15 mL

which is, 15×10^-6 m³

Answer:

=15

Step-by-step explanation:

195ml - 180ml

= 15

the first measuring minus with the second measuring will get the volume for the stone

Answer:

2110

Step-by-step explanation:

4100-1990=2110

Answer:

3 ways

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 = 2*5

35 = 5*7

40 = 2*2*2*5

The number 5 is common to all three  factorisations

So the HCF = 5.

Continued division:

10 and 35:

 10) 35(3

       30

          5)10(2

              10

                0

- so the HCF of 10 and 35 is 5.

10 and 40:

10)40( 4

     40

        0  

So the HCF of 10 and 40 is 10

We found HCF of 10 and 35 is 5 so:

HCF of 10, 35 and 40 is HCF of 5 and 10 which is 5.  

Answer:

they are asking which claims are true vs false

Step-by-step explanation:

I totally get not wanting to bother our teachers again,... (that is why we're here)

m (AB = 20

m<ABD = 140

m (AD = 60

I think they want to know which ones (based on the "graph") are true,...