Answer:


Step-by-step explanation:
Given: The figure
Required: Find x and y
The relationship between length x, length 15 and angle 32 is as follows:

So, we have:

Cross multiply:



--- approximated
Similarly:
The relationship between length y, length 15 and angle 32 is as follows:

So, we have:

Cross Multiply:

Solve for y



--- approximated
Answer:
The test statistics is
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The null hypothesis is 
The alternative hypothesis is 
The sample mean is 
The standard deviation is 
The level of significance is 
Generally the test statistics is mathematically represented as

=> 
=>
Answer:
First option: 6y^2sqrt(10) + 12sqrt(5y)
Step-by-step explanation:
3sqrt(10) * (2y^2 + 2sqrt(2y)
= 6y^2sqrt(10) + 6sqrt(20y)
= 6y^2sqrt(10) + 12sqrt(5y)
To solve, we use the volume of a square pyramid formula which is expressed as the product of the area of the base (a²) and the height divided by three(h/3).
Volume = a² (h/3)
1024 in³ = (a²) (12 in/3)
a² = 1024 in³ · 3 /12
a = √256 in²
a = 16 in
Thus, the length of the base is 16 in.