Cos 17pi/4 = cos pi/4 because 17pi / 4 = 16pi/4 + pi/40
cos pi/4 = 1 / sqrt2 or 0.7071 to nearest 10,000 th
Answer:
39.16% probability of selecting three Democrats and three Republicans
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
3 Democrats, from a set of 8.
3 Republicans, from a set of 8.
Total outcomes:
6 people from a set of 16.
Probability:
39.16% probability of selecting three Democrats and three Republicans
Answer:
26
Step-by-step explanation:
→ Utilise Pythagoras theorem
a² + b² = c²
→ Substitute in the values
10² + 24² = c²
→ Simplify
100 + 576 = c²
→ Simplify further
676 = c²
→ Square root both sides to isolate c
26 = c
C
Expiation:
If x=6 and y=1, then 3y=3 and 1/2x=3. They are equal.
The given states that line BC is congruent to line EC and line AC is congruent to line DC. By the vertical angles theorem, angle BCA is congruent to angle DCE. By SAS, triangle BCA is congruent to triangle DCE. Using CPCTC, it can be concluded that line BA is congruent to line ED.
