Answer:
x = 85°
Step-by-step explanation:
Because the sum of the angles in a triangle is 180°, we can find ∠CDB.
180° - ∠CBD - ∠BCD = ∠CDB.
180° - 35° - 50° =
180° - 85° =
95°
So, ∠CDB is 95°
Then, because a line has 180°, we can find ∠CDA.
180° - ∠CDB = ∠CDA.
180° - 95° = 85°
So, x = 85°
Answer:
46.67 cubic feet
Step-by-step explanation:
The formula for volume of a pyramid is
V = (1/3)Bh where B is the area of the base, and h is the height.
We are givne B = 35 and h = 4. Plug those values in and simplify...
V = (1/3)(35)(4)
V = (1/3)(140)
V = 140/3
V = 46 2/3 cubic feet, which is 46.666667, or 46.67 rounded to the nearest hundredth
Replace x with π/2 - x to get the equivalent integral
but the integrand is even, so this is really just
Substitute x = 1/2 arccot(u/2), which transforms the integral to
There are lots of ways to compute this. What I did was to consider the complex contour integral
where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be
which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit
and it follows that
Answer:
<u>585/4</u> or <u>146.25</u>
Step-by-step explanation:
10 x 6 1/2 x 2 1/4
10 x 13/2 x 9/4
5 x 13 x 9/4
65 x 9/4
<u>585/4 = 146.25</u>
The answer would be C (17/6)
This is because;
6 goes into 17 twice leaving a reminder of 5.
