Answer:
b ≈ 7.54 cm
Step-by-step explanation:
Pythagorean Theorem
a² + b² = c²
a and b are the sides and c is the hypotenuse
hypotenuse is 11 cm
a side is 8 cm
so
8² + b² = 11²
64 + b² = 121
-64 -64
b² = 57
√b² = √57
b ≈ 7.54 cm ( use ≈ because its rounded so its not exact)
Answer:
The measure of one angle is
, and the measure of the other one is 
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders 
We need to find the measure of two such angles whose difference is precisely
.
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:

We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":

So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":

Answer:
Step-by-step explanation:
<u>Given</u>
- Total applicants = 431
- Applicants with graduate degree and over 5 years of experience = 103
Probability = favorable outcomes/total outcomes
<u>Required probability </u>
- 103/431 = 0.2390 rounded to 4 decimal places
Answer:
y= 4/3x
Step-by-step explanation:
Answer:
<u>It</u><u> </u><u>is</u><u> </u><u>1</u><u>7</u><u>1</u>
Step-by-step explanation:

substitute for x and y:
