A cylinder has a volume of 792 m and a radius of 6 m. Find its height.

Answer:

x = 9

m<J = 57

m<K = 44

m<L = 79

Step-by-step explanation:

Theorem:

The sum of the measures of the angles of a triangle is 180°.

We add the measures of the angles, and set the sum equal to 180. Then we solve for x, and use the value of x to find the measure of each angle.

7x - 6 + 3x + 17 + 9x - 2 = 180

Combine like terms on the left side: 7x + 3x + 9x = 19x and -6 + 17 - 2 = 9

19x + 9 = 180

Subtract 9 from both sides.

19x = 171

Divide both sides by 19.

x = 9

Now we find the measure of each angle.

m<J = 7x - 6 = 7(9) - 6 = 63 - 6 = 57

m<K = 2x + 17 = 3(9) + 17 = 27 + 17 = 44

m<L = 9x - 2 = 9(9) - 2 = 81 - 2 = 79

Answer:

A

Step-by-step explanation:

x=

−b±√b2−4ac

2a

x=

−(2)±√(2)2−4(2)(15)

2(2)

x=

−2±√−116

4

and there is really no solution

Answer:

See Explanation

Step-by-step explanation:

I will answer this question with the attached square pyramid

From the attached pyramid, we have:

[tex]Base\ Length = 20m[/tex]

So, the base area is:

[tex]Area = Length * Length[/tex]

[tex]A_1= 20m*20m[/tex]

[tex]A_1= 400m^2[/tex]

The dimension of each of the 4 triangles is:

[tex]Height = 16.4m[/tex]

[tex]Base = 20m[/tex]

So, the area of 4 triangles is:

[tex]Area = 4 * 0.5 * Base * Height[/tex]

[tex]A_2 = 4 * 0.5 * 20m * 16.4m[/tex]

[tex]A_2 = 656m^2[/tex]

So, the surface area is:

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 400m^2 + 656m^2[/tex]

[tex]Area = 1056m^2[/tex]

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

+3

Step-by-step explanation:

(+6) ÷ (+2)

=6/2

Divide the numbers; 6/2=3

=3

Hope this helped!!!

Step-by-step explanation:

3 Area of lateral = 3 ( bh ) = 12.2 XIO +7.04X12.2 +7.04x 12.2 = 122+85.888+85.888 = 293.776

293.776 approximate to 288

Answer:

V=301.44ft^3

Step-by-step explanation:

l^2°r^2r^2+h^2

10^2=6^2+h^2

100=36+h^2

100-36=h^3

h^2=64

h=8

Volume of cone:

1/3πr^2h

1/3(π)(6)^2(8)

301.44ft^3

Hope it helps....

Answer:

24 IN.

Sorry for all caps

Step-by-step explanation:

Answer: 120

Step-by-step explanation:

Answer:

I believe its 60cm squared

I’m not sure

Answer:

i think its 60cm

Step-by-step explanation:

Answer:

We can be 95% confident that wind speed decreases, on average, between 1.20 knots and 1.42 knots for each millibar increase in minimum pressure.

Step-by-step explanation:

The computed confidence interval for a certain statistical parameter gives a range of value represented by a minimum value and a maximum value. The α value upon which the value was calculated represents the probability of the estimated value containing the true value of the parameter in question.

The minimum and maximum values represents the range of possible slope parameters, the true value falls in between two negative values, thus we have a negative slope, depicting a decline in one variable and the as the other increases.

From the options above, the most appropriate option is ;

We can be 95% confident that wind speed decreases, on average, between 1.20 knots and 1.42 knots for each millibar increase in minimum pressure.

Answer:

m<ADC= 117

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi

Answer:

15

Step-by-step explanation:

The ratio of (the foot of the ladder to the person) : (the person's height) is equal to (the wall to the foot of the ladder) : (the height of the wall) because the triangles are similar. So, if you solve the problem you will get:

(x= the height of the wall)

6:6 = 6+9:x

6:6 = 15:x

1:1=15:x

x=15

The height of the wall is 15 feet.

Answer:

1/6

Step-by-step explanation:

1 out of the 6 cards is 4

Answer:

The answer is 32 inches

65 - 33 = 32

Answer:

I cannot see pictures, so I will explain how to find slope, so you can do it on your own.

Step-by-step explanation:

Find 2 coordinates on the line.

Ex: (2,3) and (4,6)

Subtract the y-coords and x-coords from each other and divide.

6-3 = 3

4-2 = 2

3/2

So the example slope is 3/2.

The 3 represents the rise, and 2 represents the run.

---

hope it helps

Answer:

Question?

Step-by-step explanation:

What is the question?

Answer:

give me poi tasjnsaklaalwkdbfbdjwo

Answer:

Step-by-step explanation:

the formula for a circle is pi(r^2) where r is the radius. the diameter is 16 so 16/2 =8. substitute 8 for the radius to get pi(8^2). 8^2=64 so you have pi(64).

pi(64)= approximately 201.06

Answer:

450 cm ^3

Step-by-step explanation:

Answer:

15.98cm

Step-by-step explanation:

Given data

Volume= 602.88cm^3

Radius= 6cm

The formula for the volume of a cone is

V= 1/3 πr^2h

substitute

602.88= 1/3*3.142*6^2*h

602.88=1/3*3.142*36*h

602.88=37.704*h

h= 602.88/37.704

h= 15.98cm

Hence the height is 15.98cm

Answer:

3,2,4, then 1

Answer:

c

Step-by-step explanation:

circumference = perimeter around circle

Answer:

FV= $3,726.93

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $2,500

Interest rate (i)= 0.04/12= 0.003333 monthly

Number of periods (n)= x months

To calculate the future value giving any number of months, we need to use the following formula:

FV= PV*(1 + i)^n

For 10 years:

n=10*12= 120 months

FV= 2,500*(1.003333^120)

FV= $3,726.93

Answer:

Base = 8

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = 0.5 x Base x Height

The values of the area and the height are given in order to find the length.

A= 52 in^2

Height= 13

First we have to find the base or the length. Using the values above we can set up the equation as:

1. 52= (0.5)(13)(b)

2. 52/0.5(13)

3. b=8

Answer: The length of the guitar or the base would be 8 inches.

I hope this helps and for future problems regarding this topic use the formula above!!

Formula: 0.5 x Base x Height

Answer:

[tex]A) x+3[/tex]

Step-by-step explanation:

[tex]\frac{2x^{2}+14x+24 }{2x+8}[/tex]

[tex]=\frac{2(x^{2}+7x+12)}{2(x+4)}[/tex]

[tex]=\frac{x^{2} +7x+12}{x+4}[/tex]

[tex]=\frac{(x+4)(x+3)}{x+4}[/tex]

[tex]=x+3[/tex]

Option A is correct.The equation for the parabola is A.(x - 3)^2 = 2(y - 2.5)

The equation for a parabola with a focus (h, k) and a directrix y = a can be expressed as:

(x - h)^2 = 4a(y - k)

The focus is (3, 4) and the directrix is y = 2, we can substitute these values into the equation:

(x - 3)^2 = 4(2)(y - 4)

Simplifying:

(x - 3)^2 = 8(y - 4)

The correct equation for the parabola is:

(x - 3)^2 = 8(y - 4)

Therefore, the answer is option A. (x - 3)^2 = 2(y - 2.5)

For more such questions on parabola

https://brainly.com/question/4061870

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