Answer:
39 dimes
Explanation:
From the graph:
• Total number of nickels = 9+4+7=20
,
• Total number of dimes = 7+10+9 = 26
The ratio of total nickels to total dimes = 20:26
If the total number of nickels the students donate is increased to 30, we have:

We then solve for x:

The number of dimes they should donate to keep the ratio of total nickels to total dimes the same is 39.
Answer:
261∠36° Newtons
Step-by-step explanation:
A straightforward way to find the resultant is to add the x- and y-components of the forces:
r = 300(cos(-30°), sin(-30°)) +180(cos(45°), sin(45°)) +250(cos(135°), sin(135°))
= (300√3/2 +180√2/2 -250√2/2, -300/2 +180√2/2 +250√2/2)
= (150√3 -35√2, -150 +215√2)
≈ (210.310, 154.056)
≈ 260.698∠36.22°
The resultant is approximately 261 Newtons at an angle of 36°.
_____
From components (x, y), the angle is found as arctan(y/x). The magnitude is found as √(x²+y²).
Answer:
The plots are (0,2) (1,-1)
Step-by-step explanation:
a slanted line starting from top left corner ending in the bottom right
Answer: “samuel earns $20 for each lawn he mows”
Step-by-step explanation: