We could also represent this function with an equation, A = #r2. We say that the input of
the function, r, is the independent variable and the output of the function, A, is the
dependent variable. We can choose any value for r, and then the value of A depends on
the value of r. We could also represent this function with a table or as a graph. Depending
on the question we investigate, different representations have different advantages. You
may recognize this rule and know that the area of a circle depends on its radius.
Here is a task to try with your student:
Jada can buy peanuts for $0.20 per ounce and raisins for $0.25 per ounce. She has $12 to
spend on peanuts and raisins to make trail mix for her hiking group.
1. How much would 10 ounces of peanuts and 16 ounces of raisins cost? How much
money would Jada have left? 6
2. Using p for pounds of peanuts and r for pounds of raisins, an equation relating how
much of each they buy for a total of $12 is 0.2p+ 0.25r = 12. If Jada wants 20 ounces
of raisins, how many ounces of peanuts cán she afford? 7

you divide the cost ($15) by the quantity (6) to get your questions answer. the yo-yo costs $2.50. hope this : )!

step-by-step explanation:

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

you can download it here

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

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