0.0009999 is closer to 1.
Answer:
The expression for the given value of the variable d=75 is, 135
Step-by-step explanation:
Given the expression:
![2d+\sqrt[3]{-45d}](https://tex.z-dn.net/?f=2d%2B%5Csqrt%5B3%5D%7B-45d%7D)
....[1]
We have to find the value for the given expression when d = 75
Substitute the value of d in [1] we have
![2(75)+\sqrt[3]{-45(75)}](https://tex.z-dn.net/?f=2%2875%29%2B%5Csqrt%5B3%5D%7B-45%2875%29%7D)
⇒ ![150+\sqrt[3]{-3375}](https://tex.z-dn.net/?f=150%2B%5Csqrt%5B3%5D%7B-3375%7D)
⇒
Simplify:
⇒
Therefore, the expression for the given value of the variable d=75 is, 135
Answer:
810
Step-by-step explanation:
Answer:5/12 (Decimal: 0.416667)
Step-by-step explanation:
By using trigonometric relations, we will see that x = 9.97°.
<h3>
How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
