Im not 100% sure but im pretty sure you are right brother! God bless...Good luck!
V=π * r^2 * h/3 = π * 2^2 * 8/3 ≈ 33.51032 or about 34 units^2
Answer: he has 32 quarters and 17 nickels.
Step-by-step explanation:
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of quarters that he has in her wallet.
Let y represent the number of nickels that she has in her wallet.
He has 49 coins total. This means that
x + y = 49
the total value of the coins is $8.85. This means that
0.25x + 0.05y = 8.85 - - - - - - - - - - 1
Substituting x = 49 - y into equation 1, it becomes
0.25(49 - y) + 0.05y = 8.85
12.25 - 0.25y + 0.05y = 8.85
- 0.25y + 0.05y = 8.85 - 12.25
0.2y = 3.4
y = 3.4/0.2
y = 17
x = 49 - y = 49 - 17
x = 32
Explanation:
There may be a more direct way to do this, but here's one way. We make no claim that the statements used here are on your menu of statements.
<u>Statement</u> . . . . <u>Reason</u>
2. ∆ADB, ∆ACB are isosceles . . . . definition of isosceles triangle
3. AD ≅ BD
and ∠CAE ≅ ∠CBE . . . . definition of isosceles triangle
4. ∠CAE = ∠CAD +∠DAE
and ∠CBE = ∠CBD +∠DBE . . . . angle addition postulate
5. ∠CAD +∠DAE ≅ ∠CBD +∠DBE . . . . substitution property of equality
6. ∠CAD +∠DAE ≅ ∠CBD +∠DAE . . . . substitution property of equality
7. ∠CAD ≅ ∠CBD . . . . subtraction property of equality
8. ∆CAD ≅ ∆CBD . . . . SAS congruence postulate
9. ∠ACD ≅ ∠BCD . . . . CPCTC
10. DC bisects ∠ACB . . . . definition of angle bisector
