Answer:
8² = 4² + 5² - 2(4)(5) cos(P)
which is the third option
Explanation:
The general rule of cosine is:
a² = b² + c² - 2bc*cos(A)
In our triangle:
a is substituted by p = 8 cm
b is substituted by n = 4 cm
c is substituted by m = 5 cm
A is substituted by P which we want to find
Replace the variables in the general equation with the givens as follows:
p² = n² + m² - 2mn*cos(P)
8² = 4² + 5² - 2(4)(5) cos(P)
Hope this helps :)
Answer: 50 miles per hour
Step-by-step explanation:
The average speed of the car will be gotten by using the formula:
= Distance/Time
where,
Distance = 65 miles
Time = 14:48 - 13:30 = 1:18 hours = 1 hour 18 minutes = 1 18/60 = 1.3 hours
Speed = Distance / Time
= 65 miles / 1.3 hours
= 50 miles per hour
Answer:
Arithmetic sequence
Step-by-step explanation:
We are given that
A(1)=9
We have to find first three terms and identify the sequence is geometric or arithmetic.
Substitute n=1
Then, we get
For n=2
For n=3
When the difference of consecutive terms are constant then the sequence is arithmetic sequence.
Therefore, given sequence is arithmetic sequence.
Answer:
the answer is triangles ABC and DEC are similar
Step-by-step explanation:
angle C is a common angle for both triangles
angle D is equal to angle A ( corresponding angles)since they are parallel
angle B is also equal to angle B for the same reason as angle D and A
since the three angles of the two angles are equal they are similar
Answer:
25/14
Step-by-step explanation:
