Kallie has a pottery business to make a certain piece she spends $3.68 on materials and $6.52 on labor she then sells the pottery piece for $25.50 kallies profit in the pottery piece is equal to the sale price minus the cost of materials and labor a. how much profit does kallie earn when she sells a pottery piece? what fraction of the sale price of 5he pottery piece is profit? show all of your work. record your answer as a fraction using whole numbers. b what fraction of the sale price is the cost of materials and labor combined for a pottery piece? c out of the total sale price what is the decimal amount that goes towards the profit for each dollar of the sale price d kallie collected $280.50 selling pottery pieces at a craft fair. how many pieces did kallie sell

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation:

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

5.7622

step-by-step explanation:

the ten thousandths place is the 2. you round it up if, that number in whatever place is 5 or higher.