Answer:
B polynomial; binomial
Step-by-step explanation:
Yes, it is a polynomial, as it has two terms therefore it is a binomial.
Answer:
165
Step-by-step explanation:
Let o and b represent the numbers of orchestra and balcony tickets bought, respectively.
o + b ≥ 250 . . . . at least 250 tickets will be bought
o = b - 80 . . . . . there will be 80 fewer orchestra than balcony bought
Substituting for o, we have ...
(b -80) +b ≥ 250
2b ≥ 330 . . . . . . . add 80
b ≥ 165 . . . . . . . . .divide by 2
The least number of balcony tickets the club could buy is 165.
Answer:
Rectangular area
side a = 3 units
side b = 2.60 units
Step-by-step explanation: See annex
We have an equilateral triangle (3 equal sides, three equal inside angles)
side length = 6
∠ ABC = ∠BCA = ∠CAB = 60⁰
tan 60⁰ = sin 60⁰/cos 60⁰ = √3/2 / 1/2
tan 60⁰ = √3
From annex
tan ∠ ABC = √3 = b/x then b = √3 * x
and a = 6 - 2*x ( by symmetry)
Then
A = a*b
A(x) = ( 6 - 2*x ) * √3 *x
A(x) = 6*√3 *x - 2*√3 *x²
Taking derivatives on both sides of the equation we get:
A´(x) = 6*√3 - 4*√3 *x ⇒ A´(x) = 0 ⇒ 6*√3 - 4*√3 *x = 0
x = 6/4 ⇒ x = 1.5
then a = 6 - 2*x ⇒ a = 6 - 3 ⇒ a = 3 (units)
and b = √3*x = 1.5 *√3 = 2.60 units
We get a rectangle (almost a square)
Answer:
12.6 inches
Step-by-step explanation:
-The distance covered in one revolution is equivalent to the circumference oif a tire.
#We calculate the Circumference of A:
#We then calculate the circumference of B:
-A has a larger circumference than B and the difference is :
Hence, Tire A covers 12.6 inches more than B after one revolution.
Answer:
13 in
Step-by-step explanation:
add them all because its says perimeter
