Answer:
54.0°
Step-by-step explanation:
We have that:
u=<cos 30°, 4sin30°>
This implies that:
u=<½√3, 2>
Also, v=<3cos 45°, 3sin 45°>
v=<3√2/2, 3√2/2>
u+v=<2.99,4.12)
The direction of u+v, is the angle, it makes with the positive x-axis.
This is given by;



To the nearest tenth, the direction is 54.0°
The selling price will be $192
$120 x 60% = $72 markup
$120 + $72 = $192
Hey there! I'm happy to help!
We want to multiply each term inside the parentheses by the number on the outside.
-3(-7)=21
-3(3z)=-9z
Therefore, our expression is 21-9z.
Now you know how to use the distributive property! Have a wonderful day! :D
The picture is too blurry to read.
Answer: True
One angle of a right triangle = 90°
Let x = the acute angle of one angle.
Let y = the angle of the other angle.
Because the sum of angles in a triangle is 180°,
x + y + 90 = 180
x + y = 90
y = 90 - x
Therefore the angles for each of the two triangles are
x, 90° - x, 90°.
The two triangles are therefore similar because of AAA (Angle, Angle, Angle).