I am Pat, Good Legs Lance, and Colorado Bronze are horses in a horse race. Their probabilities of winning the race are as follows:
\text{P(I Am Pat wins}) = \dfrac{3}{10}P(I Am Pat wins)=
10
3

start text, P, left parenthesis, I, space, A, m, space, P, a, t, space, w, i, n, s, end text, right parenthesis, equals, start fraction, 3, divided by, 10, end fraction
\text{P(Good Legs Lance wins}) = 0.6P(Good Legs Lance wins)=0.6start text, P, left parenthesis, G, o, o, d, space, L, e, g, s, space, L, a, n, c, e, space, w, i, n, s, end text, right parenthesis, equals, 0, point, 6
\text{P(Colorado Bronze wins}) = 10\%P(Colorado Bronze wins)=10%

(x+3)(x+7)

step-by-step explanation:

answ5

step-by-step explanation:

u have to pay atttion to me

c. 1,233 miles

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9