The figure below shows a triangular piece of cloth: Triangle ABC has angle ABC equal to 90 degrees and angle BAC equal to 32 degrees. Length of AC is 6 inches. What is the length of the portion BC of the cloth? 6 cos 32° 6 sin 32° cos 32 degrees divided by 6 sin 32 degrees divided by 6

is the length of portion BC.

Step-by-step explanation:

Please refer to the image attached.

Length of portion AC = 6 inches.

As per trigonometric rules, we know that value of Sine function is as follows:

Here, let

So, perpendicular will be the side which is opposite to the .

Hence, side BC will be the perpendicular.

Using above formula:

Hence, Side BC is

how is that middle school

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15