Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:




The length of the cable is approximately 32 feet
Answer:
Rent each month = $1421
Amount left after rent and taxes monthly = $2453
Step-by-step explanation:
Gross salary; $61,992 per year
His gross pay per month will be;
61992/12 = $5166
Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.
Now, let's adopt an average of 27.5%
Thus;
Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421
We are told he pays 25% of his gross monthly income in federal and state taxes.
Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292
Thus, amount he will gave left after rent and taxes = 5166 - (1421 + 1292) = $2453
Answer:
4
Step-by-step explanation:
10^2/5^2
Do the exponents first
10 to the 2nd power is 100
5 to the 2nd power is 25
100/25
100 divided by 25 is 4
So the answer is 4
Hope this helps!
Answer: you bought 9 burgers and 16 tacos
Step-by-step explanation:
Let x represent the number of burgers that you bought.
Let y represent the number of tacos that you bought.
You buy a total of 25 burgers and tacos. It means that
x + y = 25
The burgers cost $3.50 each and the tacos cost $2.25 each. The total cost of the burgers and tacos that you bought is $67.50. It means that
3.5x + 2.25y = 67.5- - - - - - - - - - - - 1
Substituting x = 25 - y into 1, it becomes
3.5(25 - y) + 2.25y = 67.5
87.5 - 3.5y + 2.25y = 67.5
- 3.5y + 2.25y = 67.5 - 87.5
- 1.25y = - 20
y = - 20/ - 1.25
y = 16
x = 25 - y = 25 - 16
x = 9
Answer:
Yes. He spent 10 dollars.
Step-by-step explanation:
If he bought 10 apples, and he had 10 dollars, he would have no money left because each apple was 1 dollar.
hope this helps!