We are given the function
F(x) = 9 sinx + cot x
We need to take the first derivative of the given function so,
F' (x) = 9 cos x - csc² x
Next, we equate the first derivative of the function to 0 and solve for the values of x
0 = 9 cos x - csc² x
Solving for x
x = 2.04
Picking out an arbitrary value between 2.04 and π, say 3 and substituting in F(x)
F(3) = 9 sin 3 + cot 3 = 19.55
Therefore, the interval where the function is increasing is from 2.04 to π
Consequently, the interval where the function is decreasing is from -π to 2.04<span />
Answer:
a =64 °and b = 52°
Step-by-step explanation:
as 360° is the sum of all the internal angles.
As we have 4 a's and 2 b's.(see attachment for the figure).
We write the equation:
4 a + 2b = 360 ---> eq(1)
We are given that the largest angle of the parallelogram is 116º.
So a + b = 116
a= 116-b ---> eq(2)
substituting the above value in eq(1)
(1) => 4( 116-b) + 2b = 360
464 - 4b + 2b = 360
-2b = 360- 464
-2b = -104
b=52
plugging the value of b in eq (2)
(2)=>
a= 116- 52
a= 64
Thus, the values of a is 64 °and b is 52°
Answer:
The answer is A!!
Step-by-step explanation:
Answer:
hahah first one egghead, 2nd one not egghead
Step-by-step explanation:
Answer:
B.) 113°
Step-by-step explanation:
In the isosceles trapezoid, angles T and S are congruent. Find the value of x:

Subtract 4x from both sides:

Add 38 to both sides:

Divide both sides by 3:

x is equal to 15. Now substitute the value of x into the one of the expressions:

or

The angles T and S are 67°.
The angles of a trapezoid will always add up to a total of 360°, so add the angles T and S:

Subtract their total from 360:

The total of the angles Q and R is 226°. Since this is an isosceles trapezoid, those two angles are also congruent. Divide the value by 2:

Angle R is 113°.
Done.