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Question 1
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a² + b² = c²
9² + 14² = c²
c² = 81 + 196
c² = 277
c= √277
c = 17cm (Rounded to the nearest whole number)
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Ans: The Slanted height is 17cm (Answer C)
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Question 2
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Lateral area of the cone = πrl
1080π = π(60)l
l = 1080π ÷60π
l = 18.0cm
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Ans: The slanted height is 18.0cm (Answer D)
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9514 1404 393
Answer:
0
Step-by-step explanation:
If a=b, you are asking for a whole number c such that ...
c = √(a² +a²) = a√2
If 'a' is a whole number, the only whole numbers that satisfy this equation are ...
c = 0 and a = 0.
0 = 0×√2
The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.
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√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.
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<em>Additional comment</em>
If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.
Answer: here
Step-by-step explanation:
Acute Angle - An angle less than 90 degrees. Right Angle - An angle that is exactly 90 degrees. Obtuse Angle - An angle more than 90 degrees and less than 180 degrees. Straight Angle - An angle that is exactly 180 degrees. Reflex Angle - An angle greater than 180 degrees and less than 360 degrees.
Answer:
the ratio is 10:12 and if you were to write it in a fraction you get 10/12 which can be simplified as 5/6
Answer:
Step-by-step explanation:
We can solve this in either of two ways. I'll do both.
<u>Mathematically</u>
3x + 2y = 8
5x + 2y = 12
Rewrite either equation to isolate y. I'll use
3x + 2y = 8
2y = 8 - 3x
y = (8-3x)/2
Now use this value of y in the other equation:
5x + 2y = 12
5x + 2((8-3x)/2) = 12
5x + (8 - 3x) = 12
2x = 4
x = 2
Use x=2 to find y:
y = (8-3x)/2
y = (8-3*(2))/2
y = (8-6)/2
y = 1
The point is (2,1)
<u>Graphically</u>
Graph the two equations and find the point they intersect. See attachment.
We obtain the same answer: (2,1)
