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erastova [34]
1 year ago
9

The total surface area if a cylindrical can, whose height is equal to the radius of the base is 2464 cm^2, find its volume.​

Mathematics
1 answer:
KIM [24]1 year ago
5 0

Step-by-step explanation:

TSA of cylinder = 2πr (h + r)

according to the question

height = radius

then,

TSA = 2πr (r + r)

2464=2 × 3.1415×r ×2r

2464/4 ×3.1415 = r×r

196.08 = r^2

r = 14.00

r = 1 4 cm

We know,

volume = 2πr ^2 ×h

=2×3.1415×14×14×14 (h=r)

=17240.552 cm^3

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The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
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x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5    then: (x+1)=-5+1=-4  This is not the solution.
x₂=(1+11)/2=6    then: (x+1)=6+1=7    This solution is right.

Answer: the numbers would be 6 and 7. 
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2 years ago
A system of equations is given below:
My name is Ann [436]
Solving by substitution:

y = 4x - 3 

2x + 7y = 41

Let us substitute the first equation y = 4x - 3  into the second.

2x + 7y = 41

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So that's the third option.

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4 0
3 years ago
Read 2 more answers
Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she
tester [92]

Answer:

The expression giving her net earnings for a day with more than 8 hours worked is X = 80 + 15H, where H means "extra hours worked".

Step-by-step explanation:

Given that Daisy works at an ice-cream parlor earning $10 per hour for the first 8 hours she works in a day, and 1.5 times her hourly wage for every extra hour she works, in order to know how much can she make in a day working more than 8 hours the following equation has to be made:

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Therefore, if Daisy works 13 hours, the equation works as follows:

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2 years ago
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Answer:

35

Step-by-step explanation:

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2 years ago
What is 2(6+7)= 3(5+2)
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Solution:

2(6+7)= 3(5+2)

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LHS : 2 ( 6 + 7)

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From Equation 1 and 2, We can LHS and RHS are not Equal.

Therefore, 26≠ 21.

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3 years ago
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