Answer:
Volume of rectangular prism:
V1 = base x height = 4 x 6 x 12 = 288 ft3
Volume of triangular prism:
V2 = base x height = 4 x (6/2) x 6 = 72 ft3
Volume of composite prism:
V= V1 + V2 = 288 + 72 = 360 ft3
Hope this helps!
:)
Answer:
x = 8 y = 8
Step-by-step explanation:
Multiply 2nd equation by -3 to get -6x - 3y = -72
Now 4x + 3y = 56
<u>-6x - 3y = -72</u>
-2x = -16
x = 8
Substitute x = 8 into the 2nd equation
2(8) + y = 24
16 + y = 24
y = 8
Check: Substitute the values into the 1st equation
4(8) + 3(8) = 32 + 24 = 56 So we have the correct values for x and y
Answer: Stephen's net income is $921.71
Step-by-step explanation:
Hi, to answer this question, first, we have to multiply the amount of hours worked (112) by 11 (because he earns $11 per hour)
Mathematically speaking:
112 x 11 = $1,232
Now we have to sum the federal income tax ($216.05),Social Security ($76.38), and Medicare ($17.86) to obtain the total expenditures:
Total expenditures: $216.05 +$76.38 +$17.86 = $310.29
Finally we subtract the total expenditures ($310.29) to Stephen's revenue ($1,232) to obtain Stephen's net income.
Net income = 1,232 - 310.29 =921.71
Stephen's net income is $921.71
-1.5 9 divided by 2 is 4.5 x+4.5=3 therefore x=-1.5
628 because pi =3.14 And if I multiply the answer is 628
