Answer:
Step-by-step explanation:
We are given that a triangle ABC is a Right Angled Triangle. The side AB is hypotenuse, so the angle opposite to side AB which will be angle C is a Right Angle (measures 90 degrees)
We have the side length of all 3 sides. Based on this information, we can construct a triangle with given measures. The triangle is shown in the attached image.
We have to find the value of Sin(B). Sin of an angle is defined as:

The side opposite to angle B is AC with a length of 3 and hypotenuse is side AB with length 5. So Sin of angle B would be:

Answer:
B
Step-by-step explanation:
use the slope formula to find the slope. y2-y1/x2-x1. 3-(-6)/-4-2 which is 9/-6 (subtracting a negative number is the same as adding a positive) which can be simplified to -3/2 which is the slope. the intercept is the point where y is at x=0, we already know at y=3 x is -4 from the second point, so the y intercept has to be -3. which can be proven by replacing the x and y with a point 3 = -3/2(-4) - 3. put -3/2 times 4 into a calculator and you get 6, 6-3 is 3 which makes the statement true.
Answer: R=2.75
Step-by-step explanation: How to find the radius of a sphere?
This question seems very easy at first. You only have to find the center of the sphere and measure the distance to any point on its surface. However, how can you find this center in real, physical sphere, especially when it's closed? Let's look on a two of my suggestions:
Find the diameter. You can use two parallel planes and put the sphere between them. The distance between those plates equals the diameter of a sphere.
Find the volume. Prepare a graduated cylindrical container filled with water. Put a sphere into this cylinder, then bring out the sphere and measure the volume of displaced water
Answer:
It is a permutation problem. There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.
Step-by-step explanation:
In this case, the company will hire four <em>different</em> applicants from a group of 40 people for 4 <em>different</em> jobs. In this case, we need to consider the effect of order in the number of possibilities. Hence, we must use the permutation formula:
(1)
Where:
- Total of applicants.
- Selected applicants.
If we know that
and
, then the number of possibilities is:



There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.
Answer:
9.407x10-11
Step-by-step explanation:
8.18(9.407x(10)−11)10−6(1.15(9.407x(10)−11)10−5)
8.18(9.407x(10)−11)10−6(1.15(9.407x(10)−11)10−5)