Answer:
x = 5 , y = 5
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values.
sin30° = 
, cos30° = 
, then
sin30°= 
= 
= ( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5
and
cos30° = 
= 
= ( cross- multiply )
2y = 10 ( divide both sides by 2 )
y = 5
Answer: 3x2+5x−4
The 2 behind 3x is an exponent
The slope is 2 and the y intercept is -5. Graph this line and shade above the line for the solution. :)
Answer:
id say about 19 degrees
Step-by-step explanation:
Let s and g represents the numbers of suits and gowns produced.
The number of zippers used is 2s+g.
The number of buttons used is 5s+8g.
In order to use all of the available zippers and buttons, we must have ...
- 2s + g = 171
- 5s + 8g = 576
Cramer's rule tells you the solution to the system
Is given by
- x = (bf-ey)/(bd-ea)
- y = (cd-fa)/(bd-ea)
Using this rule on the equations for zippers and buttons, we have
... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72
... g = (171·5 -2·576)/-11 = -297/-11 = 27
72 suits and 27 gowns can be made from available zippers and buttons.
