13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
Answer:
I'm not sure the answer but I can tell you how to solve.
Step-by-step explanation:
Identify your initial angle. For this example, we’ll use 440° 2. The angle is larger than a full angle of 360°, so you need to subtract the total angle until it’s small. 440° - 360° = 80° 3.
Answer:
5
Step-by-step explanation:
This is a special right triangle: 5, 12, 13
Or you can solve using the Pythagorean Theorem (a^2+b^2=c^)
--> 13^2-12^2=b^2
-->169-144=b^2
-->25=b^2
b=5
Complete question is;
An advertising banner has four sections, as modeled in the attached image. Two sections are congruent trapezoids, and two sections are congruent right triangles. Which measurement is the best estimate of the area of the banner in square meters?
Answer:
6 m²
Step-by-step explanation:
Since we are told that there are two congruent trapezoid, it means that they will have same base of 1m.
This Means the total base of the entire triangle will be;
Base = 1 + 1¾ + 1 + 1¾ = 5.5 m
Height of main triangle = 2 m
Thus,
Area = ½ × 5.5 × 2 = 5.5 m²
We are looking for best estimate, so let's approximate to the nearest whole number to get 6 m²
