Answer:
or
Step-by-step explanation:
Given
Required
Determine the probability of selecting Black and Red
First, we need to calculate the number of red and black balls
The probability is calculated as thus:
Convert to mathematical expressions
Solve for each probaility;
So, we have:
or
Answer:
60°
Step-by-step explanation:
30° + 90° = 120°
180° - 120° = 60°
180 is the sum of interior angels
Answer:
The distance is:
Step-by-step explanation:
We re-write the equation of the line in the format:
Notice we divided the fraction of y by 2/2, and the fraction of z by 3/3.
In that equation, the director vector of the line is built with the denominators of the equation of the line, thus:
Then the parametric equations of the line along that vector and passing through the point (-2, 3, -4) are:
We plug them into the equation of the plane to get the intersection of that line and the plane, since that intersection is the image on the plane of the point (-2, 3, -4) parallel to the given line:
Then we solve that equation for t, to get:
Then plugging that value of t into the parametric equations of the line we get the coordinates of the intersection:
Then to find the distance we just use the distance formula:
So we get:
Answer:
If the painter will paint for $25 per hour, then the amount of dollars for h number of hours is $25h , if the cost of paint is $15 per can, 10 cans will be $150. The cost C of painting the house is
C= 25h +150
The amount of hours the painter paints is make h the subject of the formula
h= (C - 150)/25
Answer:
y=x
Step-by-step explanation: