Answer:
1.84 x10 to the power of 3
Step-by-step explanation:
there is 3 numbers to the right of the decimal making it to the power of three
keep all important numbers, removing the 0 and keeping everything else
i have done maths to this extent in a few months so i would double check
Answer:
x=2 y=1
Step-by-step explanation:
<span> 5xy • (x + 10) • (x + y)^<span>2
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</span></span><span> 2 • (5x^2 - y^4)
Hope this helped! </span><span>( ˘͈ ᵕ ˘͈♡)</span>
∆BOC is equilateral, since both OC and OB are radii of the circle with length 4 cm. Then the angle subtended by the minor arc BC has measure 60°. (Note that OA is also a radius.) AB is a diameter of the circle, so the arc AB subtends an angle measuring 180°. This means the minor arc AC measures 120°.
Since ∆BOC is equilateral, its area is √3/4 (4 cm)² = 4√3 cm². The area of the sector containing ∆BOC is 60/360 = 1/6 the total area of the circle, or π/6 (4 cm)² = 8π/3 cm². Then the area of the shaded segment adjacent to ∆BOC is (8π/3 - 4√3) cm².
∆AOC is isosceles, with vertex angle measuring 120°, so the other two angles measure (180° - 120°)/2 = 30°. Using trigonometry, we find
where is the length of the altitude originating from vertex O, and so
where is the length of the base AC. Hence the area of ∆AOC is 1/2 (2 cm) (4√3 cm) = 4√3 cm². The area of the sector containing ∆AOC is 120/360 = 1/3 of the total area of the circle, or π/3 (4 cm)² = 16π/3 cm². Then the area of the other shaded segment is (16π/3 - 4√3) cm².
So, the total area of the shaded region is
(8π/3 - 4√3) + (16π/3 - 4√3) = (8π - 8√3) cm²
General Equation of a linear line : y = mx + b
<u>Find the slope:</u>
y = 1/4 x + 5
Slope = 1/4
Slope of perpendicular line = -4
<u>Substitute m = -4 into the equation:</u>
⇒ y = -4x + b
<u>Find y-intercept:</u>
At point (0, 2) ⇒ y-intercept = 2
<u>Substitute b = 2 into the equation</u>
y = -4x + 2
Answer: y = 4x + 2