The images to solve this problem is in the attachment.
Answer: 
= 671.0 N; 
= 300 N
Step-by-step explanation: From the image in the attachment and knowing that the box is in equilibrium, i.e., the "sum" of all the forces is 0, it is possible to conclude that:
= 
and = 
Using trigonometry, shown in the second attachment, the values for each force are:
sin 20° = 
= 
. sin(20)
= 735.0.913
= 671.0
cos 20° = 
= . cos (20)
= 735.0.408
= 300
The force of static friction is 671N and normal force is 300N
9514 1404 393
Answer:
{(0, −5), (2, 9), (−3, −26)}
Step-by-step explanation:
You only need to try the first point in each set to eliminate the wrong answers.
a: 7(-5)-5 = -40 ≠ 0
b: 7(2)-5 = 9 ≠ 7
c: 7(0)-5 = -5 . . . matches given point
d: 7(1)-5 = 2 ≠ 3
The third choice is the correct one: {(0, −5), (2, 9), (−3, −26)}.
Answer:
Exact Area = 24pi square cm
Approximate Area = 75.36 square cm (when using pi = 3.14)
Note: "square cm" can be abbreviated to "cm^2" without quotes.
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Explanation:
Let's find the area of the full circle with radius r = 12
A = pi*r^2
A = pi*12^2
A = 144pi
This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).
We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.
In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6
(144pi)/6 = (144/6)pi = 24pi
The exact area of the pie slice is 24pi square cm
If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm
Answer:
180 i think but idrk
Step-by-step explanation:
Answer:
2(2y−7)(x+4)
Step-by-step explanation:
Factor 4xy−14x+16y−56
4xy−14x+16y−56
=2(2y−7)(x+4)
