Answer:
-3 = ln(0.05)
Step-by-step explanation:
Taking the natural log of both sides of the equation gives ...
-3·ln(e) = ln(0.05)
The natural log of e is 1, so the equation becomes ...
-3 = ln(0.05)
Answer:
It takes him 4 hours to paint 380 square feet of the fence.
Step-by-step explanation:
Since it took one hour to paint 95 square feet of his fence, you just divide 380 by 95 to get 4.
Cut only to ends of the triangle off then it will have a pentagon with the uncut shape
Answer:
9. 75°
10. 60°
Step-by-step explanation:
Note the angle-intercept theorem. If you create an angle in the opposite side of a circle from 2 points on other side, the arc will have a measure TWICE that of the intercepted angle created on other side.
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<u>Question 9</u>
Arc WX has a measure 76, thus the angle created is Angle V, which should be HALF of that. So angle V is 76/2 = 38
Now looking at the triangle inside the circle, we know three angles of a triangle add up to 180, thus we can write and solve for "?" angle:
X + W + V = 180
? + 67 + 38 = 180
? + 105 = 180
? = 180 - 105 = 75°
<u>Question 10</u>
Using the theorem we can say that Angle B is HALF of ARC XYZ.
So,
2*Angle B = Arc XY + Arc YZ
2*102 = Arc XY + 124
204 = Arc XY + 124
Arc XY = 204 - 124 = 80°
Also, Arc BX + Arc XY is twice that of Angle Z (which is 70), thus
Arc BX + Arc XY = 70 *2
Arc BX + Arc XY = 140
Arc BX + 80 = 140
Arc BX = 140 - 80 = 60°
