In △ABC, m∠A=45°, c=17, and m∠B=25°. Find a to the nearest tenth. law of sines 4

9514 1404 393

  a ≈ 12.8

Step-by-step explanation:

To find 'a' using the law of sines, we need the measure of the angle opposite a given side. Here, that would be angle C.

  C = 180° -A -B = 180° -45° -25° = 110°

Now, we can find 'a' to be ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) = 17·sin(45°)/sin(110°)

  a ≈ 12.7923

  a ≈ 12.8 . . . . rounded to tenths

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)