Answer:
25
Step-by-step explanation:
The distance is the magnitude of the difference:
|(2 -3i) -(9 +21i)| = |-7 +24i| = √((-7)² +24²) = √625 = 25
The distance between the two points in the complex plane is 25 units.
The 500 serves as your y- intercept and 2.50 as your slope so the answer would be. Y=2.50x+500
Answer:
m∠x = 10°
Step-by-step explanation:
Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.
"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.
The ratios are:
sinθ = opposite/hypotenuse
cosθ = adjacent/hypotenuse
tanθ = opposite/adjacent
θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.
In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.
sinθ = opposite/hypotenuse
sinx = CB/AB Substitute the labels in the diagram
sinx = 4/23 Substitute known values (side lengths)
x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.
x = 10.015....° Exact answer
x ≈ 10° Round to the nearest degree
Therefore the measure of angle x (m∠x) is 10°.
Answer:
For length of side = 3 cm
Area of the square = 9 cm²
For length of side = 10.5 cm
Area of the square = 110.25 cm²
For length of side = π cm
Area of the square = 9.869 cm²
Step-by-step explanation:
The area of a square is given as :
Area = Side²
therefore,
For length of side = 3 cm
Area of the square = ( 3 cm )² = ( 3 × 3 ) cm² = 9 cm²
For length of side = 10.5 cm
Area of the square = ( 10.5 cm )² = ( 10.5 × 10.5 ) cm² = 110.25 cm²
For length of side = π cm
Area of the square = ( π cm )²
= ( π × π ) cm²
= 3.14² cm² [π = 3.14]
= 9.869 cm²
