2323/1000=4646/2000
<span> is the fractional equivalent of 0.2323</span>
Let a =70° and b= 10° (and a-b=70-10 =60)
We have the following trigonometric identity:
sin(a-b) = sin(a).cos(b)-sin(b).cos(a) OR:
sin(70-10) = sin70.cos10 - sin10.cos70
But sin(70-10) = sin(60) and we know that sin(60°) =(√3)/2
It would actually be no solutions, since an equation can't have more than one equal sign xD
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Answer:
- ∠PAO = 90°
- ∠APO = 30°
- ∠AOB = 120°
- PB ≈ 8.7
Step-by-step explanation:
A tangent makes a right angle with the radius to the point of tangency. Hence ∠PAO is 90°. The ratio of the short side (OA) of the right triangle OAP to the hypotenuse (OP) is 5 : 10 = 1 : 2. These are the ratios found in a 30°-60°-90° triangle, so we know that ∠APO = 30°.
OP is a bisector of angle APB, so that angle is 60°. Angle AOB is the supplement to angle APB, so ∠AOB = 120°.
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As we said above, triangle OAP is a 30°-60°-90° triangle, so its side lengths have the ratios 1 : √3 : 2. This means PA = PB = 5√3 ≈ 8.7.
Answer:
4(-5a + 3b - 2)
Step-by-step explanation:
Aside from changing the order of the terms so that the "a" term comes first and the "b" term second, there's nothing you can do with this expression -20a -8 + 12b. But notice that 4 is a factor common to all three terms, and therefore it can be factored out:
Rearranging the terms, we get
-20a + 12b - 8 = 4(-5a + 3b - 2)