Answer:
The given information tells us that AFD is either an equilateral or isosceles triangle. We can see by the diagram that it is not equilateral, so the correct answer here would be the second one, "Isosceles".
A) p + n + d = 18
B) .01p + .05n + .10d = 1.14
C) 2p = d
Substituting C) into A)
A) p + n + 2p = 18 equals
A) 3p + n = 18
Substituting C) into B)
B) .01p + .05n + .10 *2p = 1.14
B) .01p + .05n + .2p = 1.14
B) .21p + .05n = 1.14
Taking equation A)
A) 3p + n = 18 and multiplying it by -.05
A) -.15p -.05n = -.90 Then adding this to B)
B) .21p + .05n = 1.14
.06p = .24
Therefore there are 4 pennies.
(I'll leave it to you to determine the nickels and dimes.)
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Oh what the heck, I'll finish it for you.
Looking at equation C)
C) 2p = d
We know there are 4 pennies so there are:
2 *4 = eight dimes
Looking at Equation A)
A) p + n + d = 18 we can fill in the pennies and the dimes:
A) 4 + n + 8 = 18
Therefore, there are 6 nickels.
Answer:
3(x + 1)(x + 2)
Step-by-step explanation:
Given
3x² + 9x + 6 ← factor out 3 from each term
= 3(x² + 3x + 2) ← factor the quadratic
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)
The factors are + 1 and + 2, since
2 × 1 = 2 and 2 + 1 = 3, thus
x² + 3x + 2 = (x + 1)(x + 2) and
3x² + 9x + 6 = 3(x + 1)(x + 2)
Sin-1 (3/5) = 36.869
cos 3/5 = 0.999
Answer:
2/8 3/6 3/4. That is least to greatest
