The answer is 100. Explanation: Supplementary is two angles that add up to 180 therefore the answer is 100
Use the formula to help Sa(lw)+(Hw)+(Lh)
Answer: (A) SAS (B) No (C) SSS (D) No
<u>Step-by-step explanation:</u>
A) ET ≅ MT, ∠T ≅ ∠T, TA ≅ TA ⇒ Side-Angle-Side
B) top and base are congruent, diagonal is congruent to itself, but there is no way to prove that two angles are congruent without knowing if either of the sides are parallel.
C) JU ≅ JE, UN ≅ EN, JN ≅ JN ⇒ Side-Side-Side
D) angle-angle-angle only proves similarity, not congruency
Step-by-step explanation:
The Taylor series expansion is:
Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!
f(x) = 1/x, a = 4, and n = 3.
First, find the derivatives.
f⁽⁰⁾(4) = 1/4
f⁽¹⁾(4) = -1/(4)² = -1/16
f⁽²⁾(4) = 2/(4)³ = 1/32
f⁽³⁾(4) = -6/(4)⁴ = -3/128
Therefore:
T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!
T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³
f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0. So we can eliminate the top left option. That leaves the other three options, where f(x) is the blue line.
Now we have to determine which green line is T₃(x). The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).
The bottom right graph is the only correct option.
Answer:
C =131.88 meters
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
where r is the radius
C = 2 * pi * 21
C = 42 pi
If we approximate pi by 3.14
C = 42(3.14)
C =131.88 meters
