Answer:
36pi
Step-by-step explanation:
Since the formula for the circumference is C=2*pi*r
12pi=2*pi*r we can divide and get r=6 cm
Then, we can use the formula for the area of a circle: Area=pi*r^2 and get Area=pi*6^2=36*pi.
Answer:
x=15
Step-by-step explanation:
add the 12 to the other side
x-12=3
and you will get 15
x=15
Let the cost of 3 bags of chocolate be x and that of gummy be y. Thus to solve the question we form systems of equation as:
3x+7y=22...............i
x+3y=8.....ii
from ii
x=8-3y........iii
substituting iii in i we get:
3(8-3y)+7y=22
24-9y+7y=22
-2y=-2
y=1
thus the value of x=8-3*1=5
thus the price of each bag of chocolate is $5 and that of gummy is $1
The reference triangle is a right triangle and therefore, the properties of
the reference triangle are similar to right triangle properties.
The correct options are as follows;
- The reference triangle always have a leg perpendicular to the <u>x-axis</u>, the hypotenuse is positive, and θ is the angle adjacent to the <u>x-axis and hypotenuse</u>.
<h3>Reasons</h3>
The reference triangle is formed by the construction of a perpendicular
to the x-axis from the terminal side of an angle, oriented in the standard
position.
Therefore;
- The reference triangle is a right triangle that always has a leg perpendicular to the x-axis.
- The hypotenuse is taken as positive, given that the magnitude of the hypotenuse is the square root of the sum of the squares of the legs.
- In the first quadrant, the reference angle, θ, is the same as the standard position angle and it is given by the angle formed between the x-axis and the hypotenuse side.
The correct options are therefore;
In Trigonometry it is important that the right triangle (reference triangles)
have a consistent orientation. The reference triangles always have a leg
perpendicular to the <u>x-axis</u>, the hypotenuse <u>positive</u> and the θ is
adjacent to the <u>x-axis and hypotenuse</u>.
Learn more about reference angles and right triangles here:
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