Answer:
174.6 ft
Step-by-step explanation:
It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)
We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...
180° -30° -112° = 38°
Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.
c/sin(C) = a/sin(A)
c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft
The height of the tree is about 174.6 feet.
Answer:
(- 1, 2)
Step-by-step explanation:
Given a quadratic in standard form y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
f(x) = x² + 2x + 3 ← is in standard form
with a = 1 and b = 2, hence
= - 
= - 1
Substitute x = - 1 into f(x) for corresponding value of y
f(- 1) = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2
vertex = (- 1, 2 )
There is no number sentence
1)soln
Let ratios be 3x and 5x respectively
Now,
3x+5x=4800
X=600
Then
No of men=3x=1800
No of women=5x=3000
2)soln
2275/65=35min
3)soln
3x+5x=480000
X=60000
3x=180000
5x=300000
4)soln
In 1 min mario can run 900m so
In 6 min mario can run 6*900=5400m
Answer:
{red, a} and {red, e}
Step-by-step explanation:
We have two possible outcomes for the counter: red and yellow.
We have five possible outcomes for the spinner: a, b, c, d, and e. Two of these outcomes are vowels - a and e.
The only outcomes where the counter flips red and the spinner spins a vowel are {red, a} and {red, e}.
