Answer:
Kate's possible hourly rate of pay: $34.75
Hours of overtime: 100
Step-by-step explanation:
In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year. If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are: 36 x 52 = 1872. Setting up an equation based on her total earnings of $72,000:
1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.
Combine like terms: 1872x + 200x = 72000 or 2072x = 72000
Divide both sides by 2072: 2072x/2072 = 72000/2072
Solve for x: x = $34.75
Kate's hourly rate is estimated at $34.75. We can check to see if this is correct by putting this value back into our original equation:
1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002
The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.
The answer is b because there is a negative in the exponent and the number needs to be a single digit and 54 is double digit. hope this helps!
5: AA 47=47 36=36 similar
6: SSS 32/16 =2, 24/12 =2, 9/4.5 = 2 similar
7: SAS 72/53= 1.3, 55=55, 48/12 = 4 not similar
8: SAS 45/15= 3, 54=54, 9/3=3 Similar
9.SAS 20/10 =2, 10/8 = 1.25 not similar
10.SAS 32/14= 2.29, 46=46, 12/7= 1.79 not similar
DE + EF = DF
x - 2 + 6x + 4 = 8x - 2
7x + 2 = 8x - 2
2 + 2 = 8x - 7x
4 = x <===
Answer:
x = 2.8
y = 2
Step-by-step explanation:
Reference angle = 45°
Opposite = 2
Hypotenuse = x
Adjacent = y
✔️To find x, apply the trigonometric function SOH:
Sin 45 = Opp/Hyp
Sin 45 = 2/x
x*Sin 45 = 2
x = 2/Sin 45
x = 2.82842712 ≈ 2.8 (nearest tenth)
✔️To find y, apply the trigonometric function TOA:
Tan 45 = Opp/Adj
Tan 45 = 2/y
y*Tan 45 = 2
y = 2/Tan 45
y = 2
