Answer:
5.0 
Step-by-step explanation:
The volume of a rectangular prism is given as:
V = L * W * H
where L = length
W = width
H = height
Put all the dimensions in the same unit, metre (m).
Length = 5 m
Width = 40 cm = 40 / 100 = 0.4 m
Height = 2500 mm = 2500/1000 = 2.5 m
The volume of the prism is:
V = 5 * 0.4 * 2.5 = 5.0 
Answer:
137.4 meters
Step-by-step explanation:
In this case, they give us the height of the lighthouse that corresponds to 50 meters and the depression angle is 20 °, in this case we can apply the tangent trigonometric function, which relates the opposite side to the adjacent side.
tan a ° = opposite / adjacent
the horizontal that is formed would be the adjacent side, therefore if we solve we are left with:
horizontal distance = opposite / tan to °
replacing, we are left with:
hd = 50 / tan 20 °
hd = 50 / 0.3639
hd = 137.4
the horizontal distance is equal to 137.4 meters
Answer:
The answer to your question is: r = 0.1
Step-by-step explanation:
Data
P = $4500
A = $9000
t = 9 years
r = rate
Formula
![r = \sqrt[t]{\frac{A}{P}} - 1\\](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5Bt%5D%7B%5Cfrac%7BA%7D%7BP%7D%7D%20-%201%5C%5C)
Substitution
![r = \sqrt[9]{\frac{9000}{4500} - 1\\](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B9%5D%7B%5Cfrac%7B9000%7D%7B4500%7D%20-%201%5C%5C)
Simplification
![r = \sqrt[9]{2} - 1](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B9%5D%7B2%7D%20-%201)
Result
r = 1.08 - 1
r = 0.08 ≈ 0.1
Answer:
y = 3x - 1
Step-by-step explanation:
Although the coordinate plane is not given, we don't need it to find the solution. We have given all the conditions enough for the solution.
The y-intercept is (-1) and the function passes through the point ( 1, 2 ).
Only the function y = 3x -1 matches these conditions.
We can observe the points in the attached graph.