2cot^2(x)-7csc(x)+8=0

Mathematics

1 answer:

Crank3 years ago

6 0

Hello here is a solution :

You might be interested in

50 points!!!Adam recorded the number of flower blooms on each of his ten rose bushes. 9, 10, 4, 12, 15, 17, 18, 10, 12, 13If he

lyudmila [28]

Answer:

Step-by-step explanation:

9, 10, 4, 12, 15, 17, 18, 10, 12, 13

Putting the numbers from smallest to largest

4,9, 10, 10, 12 12, 13, 15, 17, 18,

The median is the middle number

There are 10 numbers

4,9, 10, 10, 12 12, 13, 15, 17, 18,

The middle number is between the 12's, so it is 12

6 0

3 years ago

Read 2 more answers

Find the central angle of a sector of a circle if the area of the sector and the area of the remaining part of the circle are in

andre [41]

Answer:

288

Step-by-step explanation:

360/5 = 72

72x4 = 288

8 0

3 years ago

Secants L J and L M intersect and form an angle at point L. Solve for x.

german

Answer:

x = 14

Step-by-step explanation:

Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

$\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}$

Check:

$\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}$