Answer:
Step-by-step explanation:
<u>Linear Combination Of Vectors
</u>
One vector is a linear combination of and if there are two scalars such as
In our case, all the vectors are given in but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have
We set the equation
Multiplying both scalars by the vectors
Equating each coordinate, we get
Adding the first and the third equations:
Replacing in the first equation
We must test if those values make the second equation become an identity
The second equation complies with the values of and , so the solution is
Answer:
180
Step-by-step explanation:
8x15 is 120. The formula to find the area of a right triangle is base x height divided by two.
120/2 is 60
60x3 is 180.
180 plants
You have it correct the answer is 20
The value of sin(30°) is 1/2.
<h3>What is Trigonometry?</h3>
The branch of mathematics concerned with specific functions of angles and their application to calculations.
The diagram is attached below:
We know,
sin 30= Perpendicular/ Hypotenuse.
As, the hypotenuse is the opposite side of the right angle and the perpendicular is opposite to the given angle.
So,
sin 30 = 5/10
sin 30 = 1/2
Learn more about trigonometry here:
brainly.com/question/1152974
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Answer: Equation of st line is Y= -9X + 141
Step-by-step explanation: Given Y= 24 when X = 13 and Y = 87 when X = 6
Let the equation be Y = mX + C
24 = m*13 +C
and 87 = m* 6 +C
Give m = -9 and C = 141
Equation of st line is Y= -9X + 141