Answer:
188 
Step-by-step explanation:
So we can split up this shape into two prisms and then add the two areas.
The volume of a rectangular prism is V = l*w*h
For the first prism, we have our length as 3, our width as 4, and our height as 9. Substituting these values into our volume equation gives us V = (3)(4)(9) = 108
.
Now for the second prism, we have our length as 5, our width as 4, and our height as 4. Substituting these values into our volume equation give us V = (5)(4)(4) = 80 
Now adding these two values will give us the area of the entire figure: 108
+80
= 188 
Answer:
- 84 + 10i
Step-by-step explanation:
A complex number in standard form is a ± bi
a is the real part and bi the imaginary part
and
= i
Given
- 84
=
- 84
=
×
- 84
= 10i - 84
= - 84 + 10i ← in standard form
Answer:
B) -3
Step-by-step explanation:
The sum of the three angles of any triangle is equal to 180 degrees.
180-50-87 = 43.
43 = x+46
x = 43-46
x = -3
Answer:
child's ticket = 4.75 adult ticket=10.75.
Step-by-step explanation:
The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:
(c+6)+(c+6)+c+c+c+c=40.50
6c+12=40.50
6c=28.50
c=4.75
Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.
Answer:
44
Step-by-step explanation:
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