William has a coin and a spinner, shown below. He can flip heads or tails on the coin and spin numbers 1 through 8 on the spinner. He flips the coin once and spins the spinner once. What is the probability that the coin will land on heads and the spinner will land on an odd number?

1/4

Step-by-step explanation:

Coin sample Space = {H, T}

Spinner sample space = {1, 2, 3, 4, 5, 6, 7, 8}

Probability that coin lands on head :

P(H) = 1 /2

Probability that spinner lands on odd number :

Odd numbers = {1, 3, 5, 7} = 4

P(spinner lands on odd) = 4 / 8 = 1/2

Hence, probability that the coin will land on heads and the spinner will land on an odd number = (1 /2 * 1/2) = 1/4

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°