Applying the law of cosines, the measure of angle Y in the image below, to the nearest whole degree, is: B. 64°
<h3>What is the Law of Cosine:</h3>
Law of cosines is given as: y² = x² + z² – 2xz(cosY)
Given the following:
x = 12
y = 16
z = 17
Y = ?
Apply the law of cosines:
16² = 12² + 17² – 2(12)(17)(cosY)
256 = 433 - 408(cos Y)
256 - 433 = -408(cos Y)
-177 = -408(cos Y)
-177/-408 = cos Y
Y = cos^(-1)(177/408)
Y ≈ 64°
Learn more about law of cosines on:
brainly.com/question/7872492
<span>Factor 80t - 16t = 0
</span><span>
= 16t(5 - 1)
------------------------------</span>
Answer:
Video game- 25
Bike riding - 18
Subtract them and you will get the answer.
= 7
Answer:
1 = 56°
Explanation:
Interior angles 1 and 83° must add up to the external angle 139° because of the reason ‘exterior angles of a triangle’.
Angle 1+83°=139° (ext angles of triangle)
Angle 1 = 139°-83°
Angle 1 = 56°
Answer:
Step-by-step explanation:
We have been given a sequence and we are asked to write an explicit formula for our given sequence.
16, 24, 36, 54
We can see from our given sequence that difference between two consecutive terms is not same, therefore our given sequence is a geometric sequence.
A geometric sequence is in form: , where
= nth term of the sequence.
= 1st term of sequence,
r = Common ratio between two consecutive terms.
We can see that 1st term of our given sequence is 16.
Let us find common ratio of our given sequence by dividing one number of our sequence by its preceding number in the sequence.
Let us substitute our values in explicit formula to get our desired formula.
Therefore, our desired explicit formula will be .