Answer:
1st, 3rd, 4th
Step-by-step explanation:
1st one: 43 x
multiply x by 43
7 x 43 = 301
7 x 43 = 258
10 x 43 = 430
3 x 43 = 129
4 x 43 = 172
(correct)
2nd one: 12x
multiply x by 12
2 x 12= 32
we know that 2 x 12 is 2 so this equation does not work
(incorrect)
3rd one: 202x
multiply x by 202
6 x 202 = 1212
4 x 202 = 808
10 x 202 = 2020
3 x 202 = 606
8 x 202 = 1616
(correct)
4th one: 13x
multiply x by 3
9 x 13 = 117
2 x 13 = 26
7 x 13 = 91
3 x 13 = 36
10 x 13 = 130
(correct)
can be rewritten as
to the
power:
Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:
This is equivalent to
, so now, we just simplify:
So:
Answer:
48.8 lbs
Step-by-step explanation:
The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:
a/sin(A) = c/sin(C)
x/sin(26°) = 80/sin(134°)
x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds
The larger component force is about 48.8 pounds.
<span>x^2 + y^2 – x – 2y – 11/4 = 0
x^2 - x + y^2 - 2y = 11/4
Using completing the square method:
x^2 - x + 1/4 + y^2 - 2y + 1 = 11/4 + 1 + 1/4
(x - 1/2)^2 + (y - 1)^2 = 4
coordinates: (1/2 , 1)
radius: sqrt (4)</span>