Answer:
D
Step-by-step explanation:
I’m not sure but none of the others made sense
Set up a pair of proportional ratios...
a/(2πr)=α/360
a=(πrα)/180, we are given that r=12 and α=36° so
a=432π/180 in
a=12π/5 in
a=2.4π in
a≈7.54 in (to nearest one-hundredth of an inch)
The <em>factored</em> form of the polynomial is (x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242).
<h3>How to factor an algebraic equation</h3>
In this question we have an <em>algebraic</em> expression to be expanded by means of <em>algebraic</em> properties, the purpose of this handling is to modify the polynomial until its <em>standard</em> form is finally obtained and later we find its <em>factor</em> form by Cardano's method. Now we proceed to show the procedure in detail:
2 · x · (2 · x + 1)² + (2 · x + 1) · (4 · x² - 3) Given
2 · x · (4 · x² + 4 · x + 1) + (2 · x + 1) · (4 · x²) + (2 · x + 1) · (- 3) Perfect square trinomial/Distributive property
8 · x³ + 4 · x² + 2 · x + 8 · x³ + 4 · x² - 6 · x - 3 Distributive property/(- 1) · a = - a
16 · x³ + 8 · x² - 4 · x - 3 Distributive property/Definitions of addition and subtraction
(x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242) Cardano's method/Result
The <em>factored</em> form of the polynomial is (x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242).
To learn more on polynomials: brainly.com/question/11536910
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Answer:
Step-by-step explanation:
The given triangle is a right angle triangle.
The distance between the first bed and the bird watcher on the ground represents the opposite side of the right angle triangle.
The distance between the birdwatcher and the second bird is 47 feet. This represents the hypotenuse of the right angle triangle. To determine the angle of depression, x degrees, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin x = 34/47 = 0.723
x = Sin^-1(0.723)
x = 46.3 degrees to the nearest tenth.
Answer:
2,996 ÷ 11 = 272.36
Step-by-step explanation: