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Olegator [25]
3 years ago
14

Round your answer to one decimal digit. The volume of a cylinder is 1800cm squared. if the height of the cylinder is 40cm then t

he diameter of cylinder is​
Mathematics
1 answer:
jonny [76]3 years ago
8 0

_____________________________________

\sf\huge\underline\red{SOLUTION:}

Use formula:

\sf{V = \pi(\frac{d}{2})^2h}

Solving for diameter:

\sf d = 2 \times  \sqrt{ \frac{V}{\pi h} }  \\ \sf = 2 \times   \sqrt{ \frac{40}{\pi \times 1800} } \approx0.16821 \\  = \sf \large\boxed{\sf{\green{d = 0.17}}}

\sf\huge\underline\red{FINAL \: ANSWER}

\large\boxed{\sf{\green{d=0.17}}}

_____________________________________

✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ

✍︎ᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢ

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Could someone please help on this question? I’m giving 20 points and brainliest but I need it quickly so please help!
AnnZ [28]
<h3>Answer:  HF = 5</h3>

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

Explanation:

Refer to the diagram below. I'm adding in points A and B, which are marked in blue. I'm also adding in variables x, y, and z.

The goal is to find HF, so let's make that equal to x. This is also equal to HB because they are radii of the same circle.

Let y be the length of segments JA and JB.

Let z be the length of segments CF and CA.

So in short we have

  • x = HF = HB
  • y = JA = JB
  • z = CF = CA

We know that

  • CH = 13
  • HJ = 19
  • CJ = 22

This must mean

  • CH = CF+HF = z+x = 13
  • HJ = HB+JB = x+y = 19
  • CJ = CA+JA = z+y = 22

Or in short,

  • z+x = 13
  • x+y = 19
  • z+y = 22

Let's solve the first equation for z to get z = -x+13. I subtracted x from both sides.

Now plug this into the third equation to get

z+y = 22

(z) + y = 22

(-x+13) + y = 22 ... replace z with -x+13

-x+13+y = 22

-x+y+13 = 22

-x+y = 22-13 .... subtract 13 from both sides

-x+y = 9

------------------------------------

So we have this reduced system of equations of two variables and two equations

  • x+y = 19 ... found earlier
  • -x+y = 9 .... what we just found above

Add the equations straight down. This is the elimination property.

Doing so leads to the x terms canceling out since x + (-x) = 0x = 0

The y terms add to y+y = 2y

The terms on the right hand side add to 19+9 = 28

We are left with 2y = 28 which solves to y = 28/2 = 14.

If y = 14, then,

x+y = 19

x+14 = 19

x = 19-14

x  = 5

In which we can then say

z = -x+13

z = -5+13

z = 8

Though we don't need to find z (unless you're curious about it).

Since x = 5, and we set HF equal to x, this means that HF = 5.

6 0
3 years ago
40 - 2 to the second power•9+17 can you please show me how you got this answer and tell me what it is please I will mark brainie
ollegr [7]
Use orders of operations.
40 -  {2}^{2}  \times 9 + 17 \\ 40 - 4 \times 9 + 17 \\ 40 - 36 + 17 \\ 4 + 17 \\  = 21
5 0
3 years ago
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John makes $400 per week. What does it mean for him to get a 150% salary raise? Explain in words and then give an example showin
Aneli [31]
He’s gotten a 200$ raise
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2 years ago
Which of the following has no solution?
Softa [21]

Answer:

(x + 1 s 1) n (x + 12 1)

(x +1<1) n (x + 1 > 1)

Step-by-step explanation:

Just simplify each the statements.

Then compare and and see if the statements are contradictory and therefore FALSE, if so, then there is no solution.

(x + 1<-1) n (x + 1< 1)

(x <-2) n (x < 0) which is true, so there is a solution.

(x + 1 s 1) n (x + 12 1)

this doesn't make sense so there is no solution.

(x +1<1) n (x + 1 > 1)

(x < 0) n (x > 0)

This is not possible, the statements are contradictory and therefore FALSE, so there is no solution.

5 0
3 years ago
The kinetic energy (K) that an object has varies jointly with its mass (m) and the square of its velocity (v). The equation that
lord [1]

The kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

<h3>What is Kinetic Energy?</h3>

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given that;

  • Mass of the bowling ball m = 3kg
  • Velocity of the bowling ball v = 2.6m/s
  • Kinetic energy K = ?

We substitute the given values into the above equation.

K = (1/2)mv²

K = 0.5 × 3kg × (2.6m/s)²

K = 0.5 × 3kg × 6.76m²/s²

K = 10.14kgm²/s²

K = 10.14J

Therefore, the kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

Learn more about kinetic energy here: brainly.com/question/12669551

#SPJ1

6 0
2 years ago
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