The first shaded triangle is 144 cm.
Answer:
Measure of angle R: Measure of angle S:
42 degrees <em><u>90 - 42 = 48</u></em>
30 degrees <em><u>90 - 60 = 30</u></em>
84 degrees <em> </em><em><u>90 - 84 = 6</u></em>
<em><u>Complimentary angles are angles whose sum is 90 degrees</u></em>
This question is incomplete, the complete question is;
For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) + (y/10) + (z/6) = 1 equal to 10?
Answer: the value of a is 1
Step-by-step explanation:
Given that;
Volume of tetrahedron bounded by plane (x/a) + (y/10) + (z/6) = 1
and coordinate plane is; V = 1/6|abc|
(x/a) + (y/10) + (z/6) = 1
volume = 10
so
10 = 1/6 | a × 10 × 6 |
60 = a × 10 × 6
60 = 60a
a = 60 / 60
a = 1
Therefore the value of a is 1
Answer:
The expected value of lateness 
hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
Compute the expected value of lateness as follows:
Thus, the expected value of lateness hours.
Range is the outputs possible
w(r(x))=(2-x^2)-2
w(r(x))=2-x^2-2
w(r(x))=-x^2
therefor the range is from 0 to -∞
