Answer:
Step-by-step explanation:
cot = cos / sin
tan = sin / cos
=> sin²A × cos²A/sin²A + cos²A × sin²A/cos²
=> cos²A + sin²A
=> 1
If (x+2) is a factor of 3x^2+14x+k, the equation must equal zero when x=-2 so:
3(-2)^2+14(-2)+k=0
12-28+k=0
-16+k=0
k=16
Answer:
13
Step-by-step explanation:
(3-2i)(3+2i) = 9 + 6i - 6i - 4i^2
9 - 4i^2
9 + 4 = 13
The length of one leg of the right triangle is 5√10
<h3>How to find the leg of a right triangle?</h3>
The leg of a right triangle can be found as follows;
Therefore, using trigonometric ratios,
sin 45 = opposite / hypotenuse
sin 45 = x / 10√5
1 / √2 = x / 10√5
cross multiply
10√5 = x√2
divide both sides by √2
x = 10√5 / √2
x = 10√5 / √2 × √2 / √2
x = 10√10 / 2 = 5√10
learn more on right triangle here: brainly.com/question/3398476
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This is true <span>in the sense of cardinality. In the same sense that one can say that there are more real numbers than there are rationals (or integers; or natural numbers).</span><span>
source: </span>https://math.stackexchange.com/questions/10333/are-there-many-more-irrational-numbers-than-rational
