F1 . . . 100% of it = 900N is in the +x direction.
F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.
F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.
Total x-component: 900 + 530.3 - 520 = 1,950.3 N
Total y-component: 530.3 + 390 = 920.3 N
Magnitude of the resultant = √ (x² + y²)
= √(1950.3² + 920.3²)
= √4,650,070.09
= 2,156.4 N .
Angle of the resultant, measured counterclockwise
from the +x axis, is
tan⁻¹ (y / x)
= tan⁻¹ (920.3 / 1950.3)
= tan⁻¹ (0.4719)
= about 25.3° .
Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions. Before you use this
answer for anything, check it, check it, check it !
Answer:
Option (4)
Step-by-step explanation:
Given : XZ ≅ DF and ∠X ≅ ∠D
To prove : ΔXYZ ≅ ΔDEF
Statements Reasons
1). XZ ≅ DF 1). Given
2). ∠X ≅ ∠ D 2). Given
3). XY ≅ DE 3). Required information
4). ΔXYZ ≅ ΔDEF 4). By SAS property of congruence
Therefore, Option (4) will be the answer.
1. Identify valid x and y points by doing vertical and horizontal line test
2. Use these toolkit to find the appropriate function
4.5% of 545 is 24.525, rounding to the nearest thousandth 24.53. (545 + 24.53 = $569.53
Answer:
Range
Step-by-step explanation:
The range of a given set of data is the difference between the largest value and the smallest value in the data. For convenience and ease in the calculation, it is advisable to place the data in ascending order.
For example, given the following set of data:
4,9,5,6,2
To find the range;
<em>=> First arrange the data in ascending order</em>
2,4,5,6,9
<em>=> Find the smallest and largest numbers and then find their difference.</em>
Since the data has been arranged, it is obvious to see that the smallest number is <em>2</em> and the largest number is <em>9.</em>
Therefore the;
range = 9 -2 = 7