180° = π radian
1° = π/180 radian
∵ 145° = π/180 × 145
= 36π/29 radian
9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the segments proportionally. This means they satisfy ...
bottom segment / side segment = x/6 = (6-x)/4
Multiplying by 12 gives ...
2x = 3(6 -x)
2x = 18 -3x . . . . . eliminate parentheses
5x = 18 . . . . . . . . add 3x
x = 3.6 . . . . . . . . . divide by 5
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<em>Alternate solution</em>
I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.
Answer:
The answer is -3.76923076923 but to the nearest hundredth it is -3.77
Answer:
Step-by-step explanation:
If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...
Anyways, the half angle identity for tangent is

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.
If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:
which simplifies a bit to
and a bit more to

Bring up the lower fraction and flip it to divide to get
which of course simplifies to
-3. Choice A.
Answer:
3/4 or a 75% chance
Step-by-step explanation:
Out of 4 cards ( 2 3 4 5), here are the cards greater than 3: 4, and 5. That leaves you with a 2/4 chance of drawing one of them. (2 cards, 4 in total).
Then, picking a 4 out of 4 cards is a 1/4 chance; since that is one card out of 4 total possibilities.
1/4 + 2/4 = 3/4. Or, a 75% chance.