Answer:
the answer is 5
Step-by-step explanation:
the
The solution to the question is:
c is 6 =
b is 5 =
cosB is 2 =
a is 4 =
cosA is 3 =
cosC is 1 =
<h3>What is cosine rule?</h3>
it is used to relate the three sides of a triangle with the angle facing one of its sides.
The square of the side facing the included angle is equal to the some of the squares of the other sides and the product of twice the other two sides and the cosine of the included angle.
Analysis:
If c is the side facing the included angle C, then
= + -2ab cos C-----------------1
then c =
if b is the side facing the included angle B, then
= + -2accosB-----------------2
b =
from equation 2, make cosB the subject of equation
2ac cosB = + -
cosB =
if a is the side facing the included angle A, then
= + -2bccosA--------------------3
a =
from equation 3, making cosA subject of the equation
2bcosA = + -
cosA =
from equation 1, making cos C the subject
2abcosC = + -
cos C =
In conclusion,
c is 6 =
b is 5 =
cosB is 2 =
a is 4 =
cosA is 3 =
cosC is 1 =
Learn more about cosine rule: brainly.com/question/4372174
$SPJ1
Put them in under to least to greatest
87, 89, 96, 100, 112
then find the middle
96
96= median
I’m pretty sure it’s A sorry if I’m wrong
Answer:
y = 0, y = , y = 7
Step-by-step explanation:
Factor out from each term
( 3 - 22 + 7) = 0 , that is
(3y² - 22y + 7) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term
product = 3 × 7 = 21 and sum = - 22
The factors are - 21 and - 1
Use these factors to split the y- term
3y² - 21y - y + 7 ( factor the first/second and third/fourth terms )
3y(y - 7) - 1 (y - 7) ← factor out (y - 7) from each term
(y - 7)(3y - 1)
Then
(y - 7)(3y - 1) = 0
Equate each factor to zero and solve for y
= 0 ⇒ y = 0
3y - 1 = 0 ⇒ 3y = 1 ⇒ y =
y - 7 = 0 ⇒ y = 7