Answer:
- 575.6 N at 40°
- 451.7 N at 55°
Step-by-step explanation:
Angles are measured from the direction of motion, so the "force made good" is the force in the rope multiplied by the cosine of the angle. If the forces in the ropes (in Newtons) are represented by x and y, then we have ...
x·cos(40°) +y·cos(55°) = 700
In order for the resultant to be in the direction of motion, the forces perpendicular to the direction of motion must cancel.
x·sin(40°) - y·sin(55°) = 0
Here, we have assumed that the positive direction for measuring 40° is the negative direction for measuring 55°. That is, the angles are measured in opposite directions from the direction of motion.
Any of the usual methods for solving systems of linear equations can be used to solve this set. My preference is to use a graphing calculator. It gives the answers summarized above.
Answer:
518
i don't know if this needs much explaining.
Answer:
The area of the piece of construction paper is 
Step-by-step explanation:
Length of construction paper =
=
Width of construction paper = 
= 
Area of construction paper =
Area of construction paper = 
= 
Hence the area of the piece of construction paper is 
Mean = all numbers added up ÷ amount of numbers
So 22 + 24 + 26 + 20 + 29 + 28 + 26 = 175
175 ÷ 7 = 25 for mean
Median = middle number when arranged in order
20, 22, 24, 26, 26, 28, 29.
Middle number is 26.
Mode = most frequent number
Also 26 because it appears twice whereas all the other numbers only appear once.
Range = highest number - lowest number
29 - 20 = 9.