The calculated distance would be in square units instead of linear units.
Answer: Option C.
<u>Explanation:</u>
The Distance Formula itself is actually derived from the Pythagorean Theorem. This is the formula where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).
The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.
4/8 simplified to 1/2 because out of eight there are 4 even and 4 odd numbers 0.50
<h3>
Answer: 7/10</h3>
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Explanation:
There are 30 days in April. Since it rained 9 of those days, the empirical probability of it raining in April is 9/30 = (3*3)/(3*10) = 3/10.
If we assume that the same conditions (ie weather patterns) hold for May, then the empirical probability of it raining in May is also 3/10. By "raining in May", I mean specifically raining on a certain day of that month.
The empirical probability of it not raining on the first of May is therefore...
1 - (probability it rains)
1 - (3/10)
(10/10) - (3/10)
(10-3)/10
7/10
We can think of it like if we had a 10 day period, and 3 of those days it rains while the remaining 7 it does not rain.
Answer:
radius ≈ 10.77 cm
Step-by-step explanation:
The segment from the centre O to the chord is a perpendicular bisector.
Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )
The radius r is the hypotenuse.
Using Pythagoras' identity, then
r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
r = 
≈ 10.77 cm ( to 2 dec. places )
Answer:
- 2b^2 + 34ab + 5a - 1
Step-by-step explanation:
<em>here's</em><em> your</em><em> solution</em>
<em>=</em><em>></em><em> </em><em>(</em><em>b^</em><em>2</em><em> </em><em>+</em><em> </em><em>9</em><em>a</em><em>b</em><em> </em><em>+</em><em> </em><em>5</em><em>a</em><em>)</em><em> </em><em>-</em><em> </em><em>(</em><em>3</em><em>b</em><em>^</em><em>2</em><em> </em><em>-</em><em> </em><em>2</em><em>5</em><em>a</em><em>b</em><em> </em><em>+</em><em> </em><em>1</em><em>)</em>
<em>=</em><em>></em><em> </em><em>b^</em><em>2</em><em> </em><em>+</em><em> </em><em>9</em><em>a</em><em>b</em><em> </em><em>+</em><em> </em><em>5</em><em>a</em><em> </em><em>-</em><em> </em><em>3</em><em>b</em><em>^</em><em>2</em><em> </em><em>+</em><em> </em><em>2</em><em>5</em><em>a</em><em>b</em><em> </em><em>-</em><em> </em><em>1</em>
<em>=</em><em>></em><em> </em><em>-</em><em> </em><em>2</em><em>b</em><em>^</em><em>2</em><em> </em><em>+</em><em> </em><em>3</em><em>4</em><em>a</em><em>b</em><em> </em><em>+</em><em> </em><em>5</em><em>a</em><em> </em><em>-</em><em> </em><em>1</em>
<em> </em><em> </em><em> </em><em> </em>
<em> </em><em> </em><em>hope</em><em> it</em><em> helps</em>
