<span>The canyon starts at an elevation of (-14.5). After each year, the elevation drops by (-1.5). The equation that could be written for this, then, would be (-14.5 - 1.5x = -31). First, we could add 14.5 to both sides of the equation to isolate the unknown. This would leave -1.5x = -16.5. Next, we can remove the negative signs so both sides of the equation are positive and easier to work with. This leaves 1.5x = 16.5. Finally, dividing both sides by 1.5 gives us "x = 11", which means that after 11 years, the canyon floor will be at -31 feet.</span>
Solution:
x y ║ z w→→Given
Also, x z is a transversal, that intercepts x y and z w.
So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.
Also, v is point of intersection of x z and y w.
∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]
So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]
Answer:
Width of the rectangular prism
It is given to us that the volume of the rectangular prism is calculated by the given formula :-
v = lwh
Where,
v = volume
l = length
w = width
h = height
Now,
In the question we are given :-
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
Substitute these values in the volume formula given :-
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ The width of the rectangular prism is 4.5 inches.
Answer:
Step-by-step explanation:
Given given that
- Lower confidence interval = 7.1
- Upper confidence interval = 7.5
- As such, We are 95% confident that it's somewhere between 7.1 and 7.5 hours per night
Average value = LCI + UCI /2 = 7.1 + 7.5 / 2
= 7.3hours per night, so we are 95% confident that it's somewhere between 7.1 and 7.5 hours per night which is eventually 7.3hrs per night.
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