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miss Akunina [59]
2 years ago
11

Evaluate the function

Mathematics
1 answer:
Alja [10]2 years ago
8 0

I don't know a lot about math

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a cone with a radius 3 units is shown below. it’s volume is 57 cubic units. find the height of the cone
ipn [44]

<u>Given</u>:

Given that the radius of the cone is 3 units.

The volume of the cone is 57 cubic units.

We need to determine the height of the cone.

<u>Height of the cone:</u>

The height of the cone can be determined using the formula,

V=\frac{1}{3} \pi r^2 h

Substituting the values, r = 3 and V = 57, we get;

57=\frac{1}{3} (3.14) (3)^2 h

Simplifying the terms, we get;

57=\frac{1}{3} (3.14) (9) h

Multiplying both sides of the equation by 3, we get;

171= (3.14) (9) h

171=28.26 h

Dividing both sides of the equation by 28.26, we get;

6.05=h

Thus, the height of the cone is 6.05 units.

8 0
3 years ago
Find the modulus of the complex number 6-2i
Papessa [141]

Answer:

The modulus of the complex number 6-2i is:

|z|\:=2\sqrt{10}

Step-by-step explanation:

Given the number

6-2i

We know that

z = x + iy

where x and y are real and \sqrt{-1}=i

The modulus or absolute value of z is:

|z|\:=\sqrt{x^2+y^2}

Therefore, the modulus of 6-2i  will be:

z=6-2i

z=6+(-2)i

|z|\:=\sqrt{x^2+y^2}

|z|\:=\sqrt{6^2+\left(-2\right)^2}

    =\sqrt{6^2+2^2}

    =\sqrt{36+4}

    =\sqrt{40}

    =\sqrt{2^2}\sqrt{2\cdot \:5}

    =2\sqrt{2\cdot \:5}

   =2\sqrt{10}

Therefore, the modulus of the complex number 6-2i is:

|z|\:=2\sqrt{10}

3 0
2 years ago
Jamie Nolan purchased new cabinets for $12,640: laminate flooring for $4,560; countertops for
Goryan [66]

Answer:

total : 12371747

down payment : 10,515,984.95

Step-by-step explanation:

3 0
2 years ago
What is the perimeter of this triangle HELP!!<br><br><br><br> A-4<br> B-20<br> C-40<br> D-60
Sophie [7]

Answer:

60 and

x=4

Step-by-step explanation:

6 0
3 years ago
If a1=7 and d=28, find a9
Mariulka [41]

Answer:

63

Step-by-step explanation:

Since a1=7 and the question is to find a9, you just have to multiply 7 and 9 which is 63

6 0
3 years ago
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