The right angle up at the number one and the unknown angle down at 2 are corresponding angles. corresponding angles are congruent. therefore angle down by two is a right angle and so the transversal is perpendicu lar to both lines
Answer:
or 
Step-by-step explanation:
The lateral area of a cylinder is calculated by the following formula
Where r is the radius of the right cylinder and h is the height
In this case we know that the diameter d of the cylinder is
Therefore the lateral area is:
Answer:
the distance between the points is about 9.2 units
Step-by-step explanation:
It is well you should not understand it. <em>No question is asked</em>.
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The answer choices suggest you are to find the distance between the two points. There is only one choice in a reasonable range: 9.2 units.
Each point is more than 2 units from any axis, so 2 units is clearly not the answer. The size of the graph is much less than 81 units, so clearly that is not the answer.
The difference of coordinates in the x-direction is 6; in the y-direction the difference is 7 units. The distance between the points will be more than the longest of these (7) and less than about 1.5 times that (10.5). Only one choice is in this range: 9.2 units.
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The Pythagorean theorem is used to calculate the distance between points. The distance is considered to be the hypotenuse of a right triangle with legs of lengths equal to the differences of coordinates. Here, that means the distance (d) is ...
d² = 6² + 7² = 36 +49 = 85
d = √85 ≈ 9.2 . . . . grid squares, or "units"
The answer is $16216987.55 (IMPORTANT: This is the answer assuming that the interest rate is annually. The quesiton says 'continuously' so I was a bit confused)
To solve this problem, you can use the compound interest formula.
Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30
Just solve the equation to find the solution.
So, to solve the questions on your paper, you need to first have all of the bottom numbers on the fractions similar numbers. So if you have the numbers 1/4 and 4/8, you need to get them to both be the same number. Therefore, 1/4 should become 2/8, because you doubled the bottom number (you also then need to do the same to the top number). You don't need to change 4/8, because it's bottom number is already 8. Then, you can take 4/8 and 1/8 and add them. To add them, you just add the top numbers. The top numbers make 5, so then you add the denominator, and make the number 5/8. Since you can't simplify 5/8, just keep it. But if it was 4/8, you could simplify it to 1/2. You can do all of this same to all of the numbers on your paper. :D If you are subtracting, subtract only the top numbers, but if you need to multiply or divide, multiply/divide both numerator AND denominator. :D I hope I helped! If I didn't, please tell me, or just delete my answer. :D
