Answer: 173.20 ft
Step-by-step explanation:
Observe the attached image. To know how long the shadow is, we must find the length of the adjacent side in the triangle shown. Where the opposite side represents the height of the building
By definition, the function
is defined as
![tan(x) = \frac{opposite}{adjacent}](https://tex.z-dn.net/?f=tan%28x%29%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D)
So
![opposite = 100\ feet\\x=30\°](https://tex.z-dn.net/?f=opposite%20%3D%20100%5C%20feet%5C%5Cx%3D30%5C%C2%B0)
![adjacent = l](https://tex.z-dn.net/?f=adjacent%20%3D%20l)
Then
![tan(30\°) = \frac{100}{l}](https://tex.z-dn.net/?f=tan%2830%5C%C2%B0%29%20%3D%20%5Cfrac%7B100%7D%7Bl%7D)
![l = \frac{100}{tan(30\°)}](https://tex.z-dn.net/?f=l%20%3D%20%5Cfrac%7B100%7D%7Btan%2830%5C%C2%B0%29%7D)
![l = 173.20\ ft](https://tex.z-dn.net/?f=l%20%3D%20173.20%5C%20ft)
For fraction notation it would be 2/10
and for the percent notation it would be 20%
if you need any explanation ask me
hope this helps!
I believe the volume would be 0.74^3
Answer:
A: Measure of center, also known as the Median.
Answer:
- one orange costs $0.35 and one grapefruit costs $0.45
Step-by-step explanation:
<em>let grapefruits be g , let oranges be o</em>
so first equation:
→2g + 3o = $1.95
→g = ($1.95 - 3o)/2
so second equation:
→ 3g + 2o = $2.05
→ g = ($2.05 - 2o)/3
Solving simultaneously:
→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2
→ 2($2.05 - 2o) = 3($1.95 - 3o)
→ 4.1 - 4o = 5.85 - 9o
→ - 4o + 9o = 5.85 - 4.1
→ 5o = 1.75
→ o = $0.35
Therefore one orange costs $0.35
Then one grapefruit costs g → ($1.95 - 3o)/2
→ g = ($1.95 - 3(0.35))/2
→ g = 0.45
Therefore one grapefruit costs $0.45