Solve whats in the parentheses first
5k+25+4<21+6k
5k+29<21+6k
plug in a number in k for both sides
5(1)+29<21+6(1)
5+29<21+6
34<27
5(2)+29<21+6(2)
10+29<21+12
39<33
so 5(k+5)+4 is greater than 21+6k
The volume of the cylinder is 254,571.43cm³.
The surface area of the cylinder is 22,628.57 cm².
<h3>What is the volume of the cylinder?</h3>
A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder =πr²h
- π = 22/7
- r = radius = diameter / 2 = 60/2 = 30cm
22/7 x (30²) x 90 = 254,571.43cm³
Surface area = 2πrh + 2πr²
(2 x 22/7 x 30 x 90) + (2 x 22/7 x 30²)
16, 971.43 + 5657.14 = 22,628.57 cm²
To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219
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Ok, so you are given the value of P=q+2
The substitution method tells us that we must insert the value we know, into the second equation, 4P+3q= -27
Doing so will give us 4(q+2)+3q= -27
For right now, lets just focus on the first part, 4(q+2)
We can simplify this by distributing(multiplying) the 4 to whats inside the variables.
This will give us 4q+8
now lets add this back to the rest of the equation >>> 4q+8+3q = -27
We can further simplify by adding like terms >>> 7q+8 = -27
subtract the 8 from both sides >>> 7q = -35
now divide both sides by 7 >>> q = -35/7
Therefor q = -5
EDIT*
now that we know q = -5 we can put q into the equation for P !
we know that p=q+2
so lets put q in now >>> p=(-5)+2
and simplify>>> p = -3
I hope this helps:)
I just did this question!
Answers:
1) <em>same side interior angles</em>
2) (3x+4)+(2x+11) = 180
3) 77
