The formula for the surface area of a cylinder is:
2<span>π</span><span>r</span><span>h </span><span>+ </span><span>2</span><span>π</span><span>r^</span><span>2
If we substitute in the measurements that we know, you get:
2</span><span>
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
(3.5) (14) + 2</span><span>
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
(3.5)^2
If we simplify this expression, we get:
98</span><span>
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
+ 24.5</span><span>
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
If you simplify once more, you get
122.5</span><span>
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
or </span><span>≈ 384.85
Therefore, the surface area is 122.5</span>
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
or about 384.85<span>
</span>
Step-by-step explanation:
Here
5x+16+7x-3+6x+5 = 180(being sum of triangle)
or, 18x=180-18
or, x= 162/18
so, x = 9
now,
here,
<ACD = <ACB(diagonals of parallelogram bisect eachother)
or, <ACD = 7x-3
or, <ACD = 7×9-3
or, <ACD = 63-3
So, <ACD = 60°
Answer:
36 hours
Step-by-step explanation:
since it's two people if they work separately it would take twice as long therefore 18 multiplied by 2
Answer:
a) ![\log 52](https://tex.z-dn.net/?f=%5Clog%2052)
b) ![\log_57](https://tex.z-dn.net/?f=%5Clog_57)
Step-by-step explanation:
Use logarithm properties:
![\log_ab+\log_ac=\log_a(b\cdot c)\\ \\\log_ab-\log_ac=\log_a\dfrac{b}{c}](https://tex.z-dn.net/?f=%5Clog_ab%2B%5Clog_ac%3D%5Clog_a%28b%5Ccdot%20c%29%5C%5C%20%5C%5C%5Clog_ab-%5Clog_ac%3D%5Clog_a%5Cdfrac%7Bb%7D%7Bc%7D)
Then
a) ![\log 13+\log 4=\log 13\cdot 4=\log 52](https://tex.z-dn.net/?f=%5Clog%2013%2B%5Clog%204%3D%5Clog%2013%5Ccdot%204%3D%5Clog%2052)
b) ![\log_514-\log _52=\log _5\dfrac{14}{2}=\log _57](https://tex.z-dn.net/?f=%5Clog_514-%5Clog%20_52%3D%5Clog%20_5%5Cdfrac%7B14%7D%7B2%7D%3D%5Clog%20_57)
Answer:
x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3x - 7 = 29
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 7 on both sides: 3x = 36
- Divide 3 on both sides: x = 12
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 3(12) - 7 = 29
- Multiply: 36 - 7 = 29
- Subtract: 29 = 29
Here we see that 29 does indeed equal 29.
∴ x = 12 is a solution of the equation.