Triangle abc is a right triangle and cos(22.6o)=startfraction b over 13 endfraction. solve for b and round to the nearest whole number. triangle a b c is shown. angle a c b is 90 degrees and angle c a b is 22.6 degrees. the length of hypotenuse a b is 13 centimeters, the length of a c is b, and the length of c b is a.

a = 5 and b = 12

Step-by-step explanation:

Step 1: Find angle B

Angle C = 90°

Angle A = 22.6°

Angle B = B

All angles in a triangle are equal to 180°.

Angle A + Angle B + Angle C = 180°

22.6 + 90 + B = 180°

B = 180 - 112.6

B = 67.4°

Step 2: Find the value of side AC 'b'

Hypotenuse = 13

Adjacent = b

Angle A = 22.6°

Cos (Angle) = Adjacent/Hypotenuse

Cos (22.6) = b/13

b = 12

Step 3: Find the value of side CB 'a'

Hypotenuse = 13

Opposite = a

Angle A = 22.6°

Sin (angle) = Opposite/Hypotenuse

Sin (22.6°) = a/13

a = 4.99 rounded off to 5

Therefore, the value of a=5 and b=12.

!!

3x + 4y -25 =0 represents the amount of change sianna should recieve

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi