Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = 
we know that volume of square right pyramid=
Therefore, volume of square right pyramid made by all of clay=
=48 cubic inches
![\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5C%20%2836%29%5Ctimes%5C%20h%3D48%5C%5C%5CRightarrow12h%3D48%5C%5C%5CRightarrow%5C%20h%3D4%5C%20inches.....%5Ctext%7B%5BDivide%2012%20on%20both%20sides%5D%7D)
Now, slant height 

The slant height of the pyramid if Helen uses all the clay=5 inches
 
        
                    
             
        
        
        
Based on the triangle sum theorem, exterior angle theorem, the true statements are:
m∠5 + m∠6 = 180°
m∠2 + m∠3 = m∠6 
m∠2 + m∠3 + m∠5 = 180°
<h3>What is the 
Triangle Sum Theorem and the Exterior Angle Theorem?</h3>
According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.
Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.
∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.
In summary, the true statements about the diagram given are:
- m∠5 + m∠6 = 180°
 - m∠2 + m∠3 = m∠6 
 - m∠2 + m∠3 + m∠5 = 180°
 
Learn more about the triangle sum theorem on:
brainly.com/question/7696843
#SPJ1
 
        
             
        
        
        
Answer:
Sum is - 5n² -8n + 4.
Step-by-step explanation:
Given : (3n² – 5n + 6) + (–8n²– 3n – 2) .
To find : Sum .
Solution : We have (3n² – 5n + 6) + (–8n²– 3n – 2) .
Combine like terms :
(3n² - 8n²– 5n - 3n + 6 - 2).
- 5n² -8n + 4.
Therefore, Sum is - 5n² -8n + 4.
 
        
                    
             
        
        
        
Answer:
A = $45948
Step-by-step explanation:
Given the following data;
Principal = $8000
Interest rate = 6% = 6/100 = 0.06
Time = 30 years
To find the future value, we would use the compound interest formula;
 
Where;
A is the future value. 
P is the principal or starting amount. 
r is annual interest rate. 
t is the number of years for the compound interest. 
Substituting into the equation, we have;
 
 
 

A = $45948
 
        
             
        
        
        
Answer:
y=4x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-3=4(x-2)
y=4x-8+3
y=4x-5
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