Step-by-step explanation:
using Pythagoras a²+b²=c²
HOWEVER you know the hypotenuse
so it's rearranged to either c²-b²=a² or c²-a²=b²
so 13²-11²
so 169-121
this makes 48
square root 48 is 6.90 inches
this rounds up to <u>7</u><u> </u><u>Inches</u>
Answer:
missing element is 6
Step-by-step explanation:
Given
f(x) = x³ - 2 ( substitute x = 2 )
f(2) = 2³ - 2 = 8 - 2 = 6 ← missing element
ordered pair is (2, 6 )
Answer:
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Step-by-step explanation:
I’m sorry I can’t help but pray
If tan theta is -1, we know immediately that theta is in either Quadrant II or Q IV. We need to focus on Q IV due to the restrictions on theta.
Because tan theta is -1, the ray representing theta makes a 45 degree angle with the horiz axis, and a 45 degree angle with the negative vert. axis. Thus the hypotenuse, by the Pythagorean Theorem, tells us that the hyp is sqrt(2).
Thus, the cosine of theta is adj / hyp, or +1 / sqrt(2), or [sqrt(2)]/2
The secant of theta is the reciprocal of that, and thus is
2 sqrt(2)
---------- * ------------ = sqrt(2) (answer)
sqrt(2) sqrt(2)
