Answer:
height=6 ft
Step-by-step explanation:
-The volume of a rectangular prism is given by the formula:

#We make h the subject of the formula the solve for it:

#Substitute to solve for height:

Hence, the prism has a height of 6 ft.
First, you would need to determine how many questions he got correct.
30 - 12 = 18
Next, you would need to create an equation for this problem. Let x represent the unknown percentage.

=

Now, you would cross multiply.
30x = 1,800
The last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 30.
x =
60Ahmad got 60% of the questions correct. I hope this helps!
Obviously this will be a negative number
-2 - 14 = 5x - 3x
-16 = 2x
x = %28-16%29%2F2
x = -8 is the number
:
:
Check solution in the original statement: x=-8
3(-8) - 2 = 5(-8) + 14
-24 - 2 = -40 + 14
-26 = -26
5y + 7 < = -3
5y < = -3 - 7
5y < = -10
y < = -10/5
y < = -2
3y - 2 > = 13
3y > = 13 + 2
3y > = 15
y > = 15/3
y > = 5
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• 1 + cot² x = csc²x and csc x = 
• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Consider the left side
sin²Θ( 1 + cot²Θ )
= sin²Θ × csc²Θ
= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified
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Consider the left side
cos²Θ - sin²Θ
= cos²Θ - (1 - cos²Θ)
= cos²Θ - 1 + cos²Θ
= 2cos²Θ - 1 = right side ⇒ verified