Answer:
x is equal to 2
Step-by-step explanation:
2x+4=8
2x=4
x=2
Answer:
radius = 5 units
area of a circle = 15.7units²
Step-by-step explanation:
given that the circumference of a circle = 31.4
radius = ?
recall that the formulae for finding the circumference of a circle = 2πr
circumference of a circle = 2 x 3.14 x r
31. 4 = 6.28r
divide both sides by the coefficient of r which is 6.28
31.4/6.28 = 6.28r/6.28
5 = r
radius = 5 units
therefore the radius of the circle whose circumference is 31.4 units is evaluated to be 5units
to find the area of the circle
recall the formula = πr²
area of a circle = 3.14 x 5²
area of a circle = 3.14 x 25
area of a circle = 15.7units²
Question 4
The magnitude;
Using Pythagoras theorem,
(-200)² + (-530)² = 320900
Length = √320900
= 566.5 mi
To get the angle
Tan θ = opposite/adjacent
= 200/530
= 0.3774
θ = tan^-1 (0.3774)
= 20.67
≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
About 566.5 mi, 21° south of west
Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
= <0,0>
They can be expressed as fractions
they have positive values and can be expressed as terminating decimals.
the square root is 30.0333148
