Answer:
+5
Step-by-step explanation:
Answer:
x ≈ 36 feet
Step-by-step explanation:
we can use cosine (adjacent side / hypotenuse)to solve this question:
cos 77° = 8 / x
x = 8 / cos 77°
x = 35.5632...
x ≈ 36 feet
for the first one, use Pythagoras theory to find the answer which is
opposite2+adjacent2=hypotenus2
the 2 behind all of them describe the square of all of them
Answer:
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Step-by-step explanation:
Let x number of $5, y number of $10 and z number of $20
The number of $5 bills exceeds twice the number of $10 bills by 4.
Therefore, x = 2y + 4
The number of $20 bills is 6 fewer than the number of $10 bills.
Therefore, z = y - 6
A wallet contains $460 in $5, $10, and $20 bills.
Therefore,
5x + 10y + 20z = 460
Substitute x and y into equation
5(2y+4) + 10y + 20(y-6) = 460
10y + 20 + 10y + 20y - 120 = 460
40y - 100 = 460
40y = 460 + 100
40y = 560
y = 14
- Put the value of y into x = 2y + 4 and solve for x
x = 2(14) + 4
x = 32
- Put the value of y into z = y - 6 and solve for z
z = 14 - 6
z = 8
Hence, the each type of bills,
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Two composite numbers that are relatively prime are 10 and 21
