Answer:The correct answer is m= and θ = 30º.
Step-by-step explanation:First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is and the angle is theta.
First, we calculate the angle with theta's breast:
sin (θ) =
where H is the hypotenuse, in this case, the radio.
θ = ()
θ = 30º
Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:
cos (θ) =
m = cos 30º * H
m =
m =
Have a nice day!
Answer:
x = 7
Step-by-step explanation:
--> Triangle Similarity Theorem
120 = 8(3x - 6) --> Cross Multiplying
120 = 24x - 48 --> Distributing the 8
24x - 48 + 48 = 120 + 48 --> Adding 48 on both sides
24x = 168 --> Simplifying
24x/24 = 168/24 --> Divide 24 on both sides
x = 7 --> Simplifying
Hope this helped! <3
Answer:
A
Step-by-step explanation:
Remarks
- The given angle is an exterior angle.
- It's value is 46 degrees.
- An exterior angle is the sum of the two remote angles. (A remote angle is one that is not supplementary to the given exterior angle.
Solution
- 46 = <u + <t
- <t = 29
- 46 = <u + 29 Subtract 29 from both sides.
- 46 - 29 = <u
- <u = 17 degrees
Answer:
You will have 48 blue streamers.
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
We have that:
For 12 blue streamers, there are have 9 gold streamers. How many blue streamers are there when there are 36 gold streamers?
12 blue - 9 gold
x blue - 36 gold
Applying cross multiplication

Simplifying by 9

You will have 48 blue streamers.