Answer:
x = 7 , y = 7
Step-by-step explanation:
A 45- 45- 90 triangle is an isosceles right triangle with the 2 legs being congruent , that is
x = 7
Using Pythagoras' identity in the right triangle, then
y² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )
y =
=
=
×
= 7
Answer:
y=2
Step-by-step explanation:
15y+5y-19y+2=4
y+2=4 Add similar elements
y+2-2=4-2 Subtract 2 from both sides
y=2 Simplify
This can be solved a couple of ways. One way is to use the Pythagorean theorem to write equations for the magnitude from the components of the forces. That is what was done in the graph here.
Another way is to use the Law of Cosines, which lets you make direct use of the angle between the vectors.
.. 13 = a^2 +b^2 -2ab*cos(90°)
.. 19 = a^2 +b^2 -2ab*cos(120°)
Subtracting the first equation from the second, we have
.. 6 = -2ab*cos(120°)
.. ab = 6
Substituting this into the first equation, we have
.. 13 = a^2 +(6/a)^2
.. a^4 -13a^2 +36 = 0
.. (a^2 -9)(a^2 -4) = 0
.. a = ±3 or ±2
The magnitudes of the two forces are 2N and 3N, in no particular order.
Answer:
that is to small for anyone to see
Step-by-step explanation:
Answer:
$11.34 Discounted Price Including Tax
Step-by-step explanation:
CD is $12.00
10 percent off of 12 dollars is:
12 x .10 = $1.2
12 - 1.2 = $10.8 WITHOUT TAX!!
5/100 = 0.05
0.05 x 10.8 = .54 (Tax itself)
10.8 (Discounted price) + .54 (Tax) = $11.34 Discounted Price Including Tax