Answer:
Step-by-step explanation:
x has the same value as RT since they are equal sides of the isosceles triangle.
RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.
Acoording to the property of such triangles, the ratio of sides is:
We have:
Use the ratio to find the lenght of RT
- 2√3 : RT = √3 : 2
- RT = 2*2√3/√3
- RT = 4
So the value of x is 4 units
<u>Answer:</u>
The basic identity used is
.
<u>Solution:
</u>
In this problem some of the basic trigonometric identities are used to prove the given expression.
Let’s first take the LHS:

Step one:
The sum of squares of Sine and Cosine is 1 which is:

On substituting the above identity in the given expression, we get,
Step two:
The reciprocal of cosine is secant which is:

On substituting the above identity in equation (1), we get,

Thus, RHS is obtained.
Using the identity
, the given expression is verified.
Parallel lines have the exact same slope ( or else they would eventually run into each other). So the answer is -1/2 is the slope.
You can easily use online calculators for this.
Steps:
1) Find radius. 45 / 2 = 22.5
2) Substitute values (r) and (h) in the formula for surface area of a cylinder:
SA = 2πr² + 2πrh
3) Solve the formula.
You should end up with 9542.59 units². This answer is using π.
To get the answer with (3.14), do the steps above.