The height of the tree is 249.5 feet
<h3>How to determine the height of the tree?</h3>
The given parameters are:
- Elevation angle = 80 degrees
- Shadow length (L) = 44 feet
Let the height of the tree be x.
So, we have:
tan(80) = x/44
Multiply both sides by 44
x = 44 * tan(80)
Evaluate
x = 249.5
Hence, the height of the tree is 249.5 feet
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Answer:
-24
Step-by-step explanation:
substitute by 2
2²-12×2+q=0
q=-24
Giovanni purchased 20 adult tickets and 5 child's tickets.
Step-by-step explanation:
Let,
x = Adult tickets
y = Child's tickets
According to given statement;
x+y=25 Eqn 1
One adult ticket costs $14 and one child ticket costs $8, therefore,
14x+8y=320 Eqn 2

Putting value of x in Eqn 1;

Giovanni purchased 20 adult tickets and 5 child's tickets.
Keywords: Linear equations, Addition
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Answer:
see explanation
Step-by-step explanation:
To find the y- intercept let x = 0 in the function
g(0) = 0 - 0 - 84 = - 84 ← y- intercept
To find the x- intercepts let y = 0, that is
x² - 5x - 84 = 0
To factor the quadratic
Consider the factors of the constant term (- 84) which sum to give the coefficient of the x- term
The factors are - 12 and + 7, since
- 12 × 7 = - 84 and - 12 + 7 = - 5, thus
(x - 12)(x + 7) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 7 = 0 ⇒ x = - 7
x- intercepts are x = - 7 and x = 12
Answer:
the answer is 2,500
Step-by-step explanation:
any number higher than 5 you round up but any number lower than 5 you round down.
4 is lower than 5 so you round it down and the 5 stays the same, and replace it with 0's.