Answer:
see explanation
Step-by-step explanation:
Using the exact values of the trigonometric ratios
sin60° = 
, cos60° = 
sin45° = cos45° = 
Using the sine ratio on the right triangle on the left
sin60° = 
= 
=
Cross- multiply
2a = 4
× = 12 ( divide both sides by 2 )
a = 6
Using the cosine ratio on the same right triangle
cos60° = 
= 
=
Cross- multiply
2c = 4 ( divide both sides by 2 )
c = 2
------------------------------------------------------------------------------------------
Using the sine/cosine ratios on the right triangle on the right
sin45° = 
= 
=
Cross- multiply
b = 6
cos45° = 
= 
=
Cross- multiply
d = 6 ( divide both sides by )
d = 6
------------------------------------------------------------------------------------------------
a = 6, b = 6, c = 2, d = 6
Answer:
The unit rate is 6.5mph or 6.5 miles per hour.
Step-by-step explanation:
22.75/3.5 = 6.5
Answer:
y = 4x -14
Step-by-step explanation:
The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.
The slope equation is ...
m = (y2 -y1)/(x2 -x1)
m = (10 -2)/(6 -4) = 8/2 = 4
The y-intercept equation is ...
b = y - mx
b = 2 -4(4) = -14
The equation of the line is y = 4x -14.
Answer:
function
Step-by-step explanation: A function is the one where you put an input to find x or y
Answer:
-26
Step-by-step explanation:
2 is 14 away from -12. The other number that is 14 away from -12 is -26.
-12 + x = 2
x = 14
-12 - 14 = -26
