Answer:
Well if the angle is drawn to scale you can use a protractor.
But if it’s not you need to divide the known length by the sine of its opposite angle.
So find the sine of the angle opposite to the known length.
Answer:
z=-8.7
Step-by-step explanation:
-0.3z=-17.4-2.3z
10(-0.3z)=10(-17.4-2.3z)
-3z=-174-23z
20z=-174
z=-8.7
Check:
-0.3z=-17.4-2.3z
-0.3(-8.7)=-17.4-2.3(-8.7)
2.61=-17.4+20.01
2.61=2.61
Answer:
-2
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where y is the variable on the vertical axis, x is the variable on the horizontal axis, m is the slope of the line = change in vertical axis / change in horizontal axis, b is the y intercept.
Given that the quantity of apples were measured on the horizontal axis and the bananas on the vertical axis. Therefore let y represent the quantity of bananas and x represent the quantity of apples. The price of banana is $0.75 while that of apple is $1.50, Hence:
0.75y + 1.5x = 12
0.75y = -1.5x + 12
y = -2x + 16
Hence comparing with y = mx + b, the slope of the budget line is -2
The velocity or speed of the kayaker going north at a speed of 3 m/s and that of the current going east at a speed of 2 m/s create a resultant speed of √13 m/s. The new distance that has to be traveled by the kayaker in order to move 100 m north is calculated through the equation,
3 / √13 = 100 / x
The value of x is 120 m. The total time it will take for the kayaker to reach the destination is,
t = 120 / √13 = 33.33 s