Answer:
35triangles
Step-by-step explanation:
Given
Total distinct points = 7
If we are to form triangles using the dots,
Total points in a triangle = 3
Using the combination rule;
number of triangles formed = 7C3
7C3 = 7!/(7-3)!3!
7C3 = 7!/4!3!
7C3 = 7*6*5*4!/4!3!
7C3 = 7*6*5/6
7C3 = 7*5
7C3 = 35
Hence the amount of triangles that can be formed is 35triangles
Answer:
The correct answer is a.
Step-by-step explanation:
The domain is the plotted points on the x-axis.
The range is the plotted points on the y-axis.
(-3, 3), (0, 0), (2, -2)
Domain {-3, 0, 2}; Range: {3, 0, -2}
Answer:
I believe it is 2.1 if I am wrong, very sorry.
Step-by-step explanation:
So you divide 200 by 100 so 210/100, thats when you get 2.1. So to convert that from percent to decimal all you do is is just divide by 100 and remove the % sign! Just move the decimal point 2 places to the left. If the percent value is a integer, the '.' is at the right of the right most digit.
Hope this helped you out and hope you got your answer right! Enjoy the rest of your day. :)
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 !
Step-by-step explanation:
a) f(4) = 7-2(4)
= -1
b) f(h) = 7-2(h)
= 7-2h
c) f(4) + f(h) = -1 +(7-2h)
= 6-2h
h = 3
d) f(3+h) = 7-2(3+h)
= 7-6-2h
= -1-2h
2h= -1
h = -1/2
p/s = if the real answer is different with my answer, tell me also please. Im just a student that still learning.
