<u>Answer:</u>
The length of the person’s shadow is 5.7ft
<u>Explanation:</u>
Length of the flagpole =a= 35ft
Length of the shadow of the flagpole= b=50ft
Length of the person=c= 4ft
Suppose the length of the person’s shadow is=d
According to the rules of trigonometry
35d=200
d=
d=5.7ft
Hence, The length of the person’s shadow is 5.7ft.
You can first take out an x^2 from each number , 3x^6 - 39x^4 + 108x^2 = x^2 ( 3x^4 - 39x^2 + 108) Then just factor and solve for the zero's of the equation
its (a) because (a) is C(x)=3x4+30x and 9+21 is 30 so its 3x2+30
Answer:
5 gifts
Step-by-step explanation:
Given information:
- Cost of one gift = $4
- Total money = $50
- Money left after purchasing gifts = at least $28
Let x = greatest number of gifts James can buy
Create an inequality with the given information:
⇒ 50 - 4x ≥ 28
<u>Solve the inequality</u>
Add 4x to both sides:
⇒ 50 - 4x + 4x ≥ 28 + 4x
⇒ 50 ≥ 28 + 4x
Subtract 28 from both sides:
⇒ 50 - 28 ≥ 28 + 4x - 28
⇒ 22 ≥ 4x
Divide both sides by 4
⇒ 22 ÷ 4 ≥ 4x ÷ 4
⇒ 5.5 ≥ x
⇒ x ≤ 5.5
We must <u>round down</u> to 5 as if James buys 6 gifts, he will only have $26 remaining. Therefore, the greatest number of gifts James can buy is <u>5 gifts</u>.
