An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on th
1 answer:
Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ =
=
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is , and the height of the tree is 10 m, then the distance, d, across the river would be;
d =
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
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Answer:
$425
Step-by-step explanation:
Let x represent the number of bracelets made and let y represent the number of necklace made.
Since the craftsman has 1000 beads to work with, hence:
10x + 20y ≤ 1000 (1)
Also, the craftsman has 1600 minutes, hence:
10x + 40y ≤ 1600 (2)
From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).
Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:
Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (0, - 1) ← coordinates of intercepts
m = =
=
The y- intercept is - 1 ⇒ c = - 1
y = x - 1