Answer:
- No
- yes
- yes
- yes
- No.
- yes
- No
- yes
- No.
- yes
- No
- No
- Yes
- Yes
- No
These are the answers according to serials.
The closer Diana gets to the building, the smaller the angle becomes
Diana is 17.6 feet closer to the building
<h3>How to calculate the distance from the building</h3>
To calculate the distance between her and the building, we make use of the following tangent ratio

Where:

- h represents the height of the building; h = 130
- d represents the distance from the building
So, we have:

Make d the subject

Evaluate tan(40)


Initially, Diana is at a distance of 172.53.
The difference in both distance is:


Hence, Diana is 17.6 feet closer to the building
Read more about trigonometry ratios at:
brainly.com/question/4326804
Answer:
![g(x)=-2\sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%3D-2%5Csqrt%5B3%5Dx)
or

Step-by-step explanation:
Given
![f(x) = \sqrt[3]x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5Dx)
Required
Write a rule for g(x)
See attachment for grid
From the attachment, we have:


We can represent g(x) as:

So, we have:
![g(x) = n * \sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20n%20%2A%20%5Csqrt%5B3%5Dx)
For:

![2 = n * \sqrt[3]{-1}](https://tex.z-dn.net/?f=2%20%3D%20n%20%2A%20%5Csqrt%5B3%5D%7B-1%7D)
This gives:

Solve for n


To confirm this value of n, we make use of:

So, we have:
![-2 = n * \sqrt[3]1](https://tex.z-dn.net/?f=-2%20%3D%20n%20%2A%20%5Csqrt%5B3%5D1)
This gives:

Solve for n


Hence:
![g(x) = n * \sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20n%20%2A%20%5Csqrt%5B3%5Dx)
![g(x)=-2\sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%3D-2%5Csqrt%5B3%5Dx)
or:

Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = 
cosθ = 
cos(30°) =
= 
= 
sin(30°) = 
= 
= 
cos(60°) = 
= 
= 
sin(60°) = =
= 
= 
Options (1), (2), (3) and (4) are the correct options.
Answer:
94 boys and 56 girls.
Step-by-step explanation:
150/8 = 18.75 = x
b=x*5 = 94
g=x*3 = 56
b+g=150