Answer:
w = 6.7451
x = 8.0805
Step-by-step explanation:
Find W
Tan(56) = opposite / adjacent
opposite = 10
Adjacent = w
Tan (56) = 10/w
w*Tan(56) = 10
w = 10 / tan(56)
w = 10/ 1.4826
w = 6.7451
Find x
Tan (34) = 10 / (w + x)
Tan (34) = 0.6745
(w + x) * Tan(34) = 10
w + x = 10 / tan(34)
w+ x = 10 / 0.6745
w + x = 14.826
But we found w = 6.7451
6.7451 + x = 14.826
x = 14l826 - 6.7451
x = 8.0805
16 + 4x = 10 + 14
16 + 4x = 24.
4x = 24 - 16
4x = 8
x = 8 ÷ 4
x = 2
8x = 2 × 8
8x = 16
Final answer = 16.
Answer:
3 dimes and 10 quarters
Step-by-step explanation:
If you add 7 dimes, then the number of dimes and quarters is the same, and the total increases to $3.50. A dime and a quarter have a value together of $0.35. Since there are equal numbers, the value $3.50 must be made up of some quantity of groups with a value of $0.35. That number of groups must be ...
... $3.50/$0.35 = 10
Thus, there are 10 quarters and 10-7 = 3 dimes.
_____
<em>Using an equation</em>
Let q represent the number of quarters. Then the amount Bess has is ...
... 0.10(q -7) +0.25q = 2.80
... 0.35q - 0.70 = 2.80
... 0.35q = 3.50 . . . . . add 0.70 . . . . . . . this should look familiar
... q = 3.50/0.35 = 10
Answer:
r = h + m
Step-by-step explanation:
h = r - m
Switch sides.
r - m = h
Add m to both sides.
r - m + m = h + m
Simplify the left side. -m + m = 0
r = h + m
