Find m write answer as an integer or as a decimal rounded to the nearest tenth

Explanation:

We have a right triangle because the square marker (angle C) indicates a right 90 degree angle. Therefore we can use a trig function to help find the measure of angle B.

With angle B as the reference angle, we see that segment BC = 4 is the adjacent side and segment AB = 10 is the hypotenuse. The ratio of the adjacent and hypotenuse is equal to the cosine of the reference angle

cos(angle) = adjacent/hypotenuse

cos(B) = BC/AB

cos(B) = 4/10

cos(B) = 0.4

Now use the inverse cosine or arccosine function to undo the cosine function on the left side. This will isolate B

cos(B) = 0.4

arccos(cos(B)) = arccos(0.4)

B = arccos(0.4)

B = 66.4218215217981   see note below

B = 66.4

note: you will need your calculator for this step. Make sure your calculator is in degree mode. On many calculators, the inverse cosine button is marked as "cos" with a "-1" as an exponent. The result shown is approximate.

∠B = 66.4°

Step-by-step explanation:

Since the triangle is right use the cosine ratio to find ∠B

cosB = = = , thus

B = () ≈ 66.4°

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

linear pair postulates