Answer:
Step-by-step explanation:
tan 0 = 1/ cot 0
so, tan 0=11/60,
cot 0= 1/ (11/60)
cot 0= 60/ 11
Answer:
:D
Step-by-step explanation:
Answer: - 3.5, -7/3
Step-by-step explanation:
<h2>
Answer:</h2>
![x=-1.433](https://tex.z-dn.net/?f=x%3D-1.433)
<h2>Explanation:</h2>
The easier way to solve this problem is to graph the function using graphing calculator. Here we have the following function:
![y=f(x)= x^3 - x^2 + 5](https://tex.z-dn.net/?f=y%3Df%28x%29%3D%20x%5E3%20-%20x%5E2%20%2B%205)
So this is a cubic function that extends to
as x tends to
and
as x tends to
. This is so because the leading coefficient (the coefficient that accompanies
) is positive. Then, this graph will pass through a point in the x-axis which is the value of the only real solution. The graph shows that this value is:
![x=-1.433](https://tex.z-dn.net/?f=x%3D-1.433)
Answer:
The measure of ∠PQW is 30°
Step-by-step explanation:
Given as :
The measure of angle WQR = ∠WQR = 130°
The measure of angle PQR = ∠PQR = 16x°
The measure of angle PQW = ∠PQW = 3x°
<u>Now, From Figure</u>
Since, The measure of angle ∠PQR = The sum of measure of angle ∠PQW + The sum of measure of angle ∠WQR
∴ ∠PQR = ∠PQW + ∠WQR
Or, 16x° = 3x° + 130°
Or, 16x° - 3x° = 130°
Or, 13x° = 130°
∴ x = ![\frac{130^{\circ}}{13^{\circ}}](https://tex.z-dn.net/?f=%5Cfrac%7B130%5E%7B%5Ccirc%7D%7D%7B13%5E%7B%5Ccirc%7D%7D)
I.e x = 10°
Now, we put the value of x in angles
So, The measure of angle PQW = 3x°
I.e ∠PQW = 3 × 10°
∴ ∠PQW = 30°
The measure of ∠PQW = 30°
Hence The measure of ∠PQW is 30° Answer