Answer
Find out the value of x.
To prove
By using the trignometric identity

As given in the diagram.

Perpendicular = x
Hypotenuse = 6
Put in the above identity


Put in the above

x = 4.6 cm (Approx)
Therefore Option (c) is correct .
Answer:
Given the statement: Crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles.
Area of circle is given by:

where
A represents the area of a circle
d represents the diameter of a circle.
then;
It is given that Surface of Crater lake is shaped like a circle.
Substitute the given values, we have;
Area of a circle = 
=
square miles
therefore, the area of a surface of a crater lake is, 23.74625 square miles.
Answer:
It would be A.
You can trust me because a right angle is 90 degrees, so you would add the two angles.
I don't have my calculator handy just now. But just looking at that problem, why don't you try +20 and -45 and see if they do the job.
Answer:
Approximate probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is less than 0.0005% .
Step-by-step explanation:
We are given that let X be the number that do some or all of their banking on the Internet.
Also; Mean,
= 310/1000 or 0.31 and Standard deviation,
= 14.63/1000 = 0.01463 .
We know that Z =
~ N(0,1)
Probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is given by P(X <= 130/1000);
P(X <=0.13) = P(
<=
) = P(Z <= -12.303) = P(Z > 12.303)
Since this value is not represented in the z table as the value is very high and z table is limited to x = 4.4172.
So, after seeing the table we can say that this probability is approximately less than 0.0005% .