Find the equations of 2 segments of the triangle Once you have the equations from step #1, you can locate the slope of the corresponding perpendicular lines.You will use the slopes you have found from step #2, and the corresponding opposite vertex to find the equations of the two lines.Once you have the equation of the two lines from step #3, you can solve the corresponding x and y, which is the coordinates of the orthocenter.
Answer:
I'm so confused
Step-by-step explanation:
Answer:
A: 779 cm²
B: 1837 cm²
Step-by-step explanation:
For both problems, use the formula for surface area of a cylinder:
SA = 2πr² + 2πrh
2πr² is the two bases.
2πrh is the curved surface.
<u>PROBLEM A</u>
"the cylinder is 60 cm long" is h = 60.
If given diameter, you can find "r" by dividing it by 2. d = 2r
Given d = 4, then r = 2.
SA = 2πr² + 2πrh
SA = 2π2² + 2π2(60)
SA = 8π + 240π Add
SA = 248π Exact answer
SA ≈ 779.114978 Answer on calculator
SA ≈ 779 Rounded answer
Remember to include the units.
The surface area is about 779 cm².
<u>PROBLEM B</u>
"80 cm long" h = 80.
"circumference of 22 cm". C = 22. Remember C = 2πr. Find "r".
C = 2πr
22 = 2πr
11 = πr
r ≈ 11/π
SA = 2πr² + 2πrh
SA = 2π(11/π)² + 22(80) Substitute 2πr with the circumference.
SA ≈ 1837.030992 Answer on calculator
SA ≈ 1837 Rounded answer
Remember to include the units.
The surface area is about 1837 cm².
A 15% percent markup means that the typewriter cost was increased by 15%, or 0.15 by moving the decimal 2 places to the left. If the original price was x, and 15% of it is 0.15*x, we can add them up to get 1.15*x=129.95. Dividing both sides by 1.15, we get x=113 dollars
Answer:
0.6, 2/3, 73%
Step-by-step explanation:
To convert 2/3 into a decimal, do 2 divided by 3 which would equal about 0.67.
If you want to convert a percent into a decimal, take the decimal place and move in over to the left 2 digits.
<u>Example:</u>
73.0% (I added the ".0" to show the decimal)
Move decimal to the left twice.
So, it would be 0.73.
