Use the the double angle formula:
sin(2A)=2sin(A)cos(A)
substitute 2x for A, then
20sin(2x)cos(2x)=10(sin(2(2x))cos(2(2x))=10sin(4x)
9514 1404 393
Answer:
x = 10·cos(θ) -4·cot(θ)
Step-by-step explanation:
Apparently, we are to assume that the horizontal lines are parallel to each other.
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
If the junction point in the middle of AB is labeled X, then we have ...
sin(θ) = 4/BX ⇒ BX = 4/sin(θ)
cos(θ) = x/XA ⇒ XA = x/cos(θ)
Then ...
BX +XA = AB = 10
Substituting for BX and XA using the above relations, we get
4/sin(θ) +x/cos(θ) = 10
Solving for x gives ...
x = (10 -4/sin(θ))·cos(θ)
x = 10·cos(θ) -4·cot(θ) . . . . . simplify
_____
We used the identity ...
cot(θ) = cos(θ)/sin(θ)
The information given that A, B, and C are equal in length; each one is 4.47 units long illustrates that the angle is an equilateral triangle.
Secondly, when two of its sides are congruent, then the triangle is an isosceles triangle.
<h3>How to illustrate the information?</h3>
It should be noted that an equilateral triangle simply means the triangle tht had equal shape and angles. Here, since A, B, and C are equal in length; each one is 4.47 units long illustrates that the angle is an equilateral triangle.
Secondly, when two of its sides are congruent, then the triangle is an isosceles triangle. On such triangle, two out of the three sides are equal.
Learn more about triangles on:
brainly.com/question/1058720
#SPJ1
Answer:
The upper limit for the 95% confidence interval for the population proportion of defective gaming systems is 0.022
Step-by-step explanation:
Upper Limit for 95% Confidence Interval can be calculated using p+ME where
- p is the sample proportion of defective gaming systems (
)
- ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME=
where
- z is the statistic of 95% confidence level (1.96)
- p is the sample proportion (
- N is the sample size (1200)
Using the numbers we get:
ME=
≈ 0.007
Then upper limit for the population proportion is 0.015+0.007 =0.022
