Answer:
∠ PQR = 70°
Step-by-step explanation:
The tangent- tangent angle PQR is half the difference of the intercepted arcs.
minor arc PR = 360° - 250° = 110°
Then
∠ PQR =
(250 - 110)° =
× 140° = 70°
Answer:
6.83333333333 (repeated)
Step-by-step explanation:
1/3 x 20.5= 6.83333333333...
Answer: You should cut out squares that are 4 inches by 4 inches.
One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.
The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.
Length = 19 - 2x
Width = 18 - 2x
Height = x
Volume = LWH
So our equation could be: y = (19 - 2x)(18 - 2x)x
If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
Given AP is 21 ,18,15,...
First term = 21
Common difference = 18-21 = -3
Let an = -81
We know that
an = a+(n-1)d
⇛21+(n-1)(-3) = -81
⇛ 21-3n+3 = -81
⇛24-3n = -81
⇛ 24+81 = 3n
⇛ 105= 3n
⇛ n = 105/3
⇛ n = 35
35th term of the AP is -81.
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