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
fractions:
Fraction is a part of a whole, for example 1/2. Equivalent fractions are fractions that look different but show the same amount. Improper fractions have numerators that are higher than the denominator, while mixed fractions contain whole numbers and fractions.
In order to compare fractions, you need to change them so they have the same denominator. Fractions can be converted into decimals. You need to be able to work out a fraction of a given quantity.
Fractions of a quantity
How do we find 3/5 of 20?
Method 1 is to find 1/5 of 20, then multiply by 3.
1/5 of 20 is 20 ÷ 5 = 4.
We need 3/5 of 20, so we multiply 4 by 3.
3/5 of 20 = 4 × 3 = 12.
you can put this in your calculator:
3/5<span> × 20 = </span>3/5<span> × </span>20/1<span> = </span>60/5<span> = 12</span>
Answer:
2.35
Step-by-step explanation:
Answer:
1: -7.8
2:-38
3:5
4:-7.6
Step-by-step explanation:
pls give brainliest
Answer: A=2 and B=13
Explanation: The Factor Theorem states that if a is the root of any polynomial p(x) that is if p(a)=0, then (x−a) is the factor of the polynomial p(x).
Let p(x)=x
3
+ax
2
−bx+10 and g(x)=x
2
−3x+2
Factorise g(x)=x
2
−3x+2:
x
2
−3x+2=x
2
−2x−x+2=x(x−2)−1(x−2)=(x−2)(x−1)
Therefore, g(x)=(x−2)(x−1)
It is given that p(x) is divisible by g(x), therefore, by factor theorem p(2)=0 and p(1)=0. Let us first find p(2) and p(1) as follows:
p(1)=1
3
+(a×1
2
)−(b×1)+10=1+(a×1)−b+10=a−b+11
p(2)=2
3
+(a×2
2
)−(b×2)+10=8+(a×4)−2b+10=4a−2b+18
Now equate p(2)=0 and p(1)=0 as shown below:
a−b+11=0
⇒a−b=−11.......(1)
4a−2b+18=0
⇒2(2a−b+9)=0
⇒2a−b+9=0
⇒2a−b=−9.......(2)
Now subtract equation 1 from equation 2:
(2a−a)+(−b+b)=(−9+11)
⇒a=2
Substitute a=2 in equation 1:
2−b=−11
⇒−b=−11−2
⇒−b=−13
⇒b=13
Hence, a=2 and b=13.