9514 1404 393
Answer:
7.6
Step-by-step explanation:
The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(51°) = x/12
x = 12·cos(51°) ≈ 7.552
x ≈ 7.6
If they each kept the same amount of the $50 prize, then we divide $50
by 2 people, giving each of them $25 winnings. Your question is then a
little confusing because it could be answered in two ways. Did they
each keep $20.75 out of their $25 winnings, or did the two of them keep
$20.75 in a combined total? Please read your question again to see
which might be the case. I'm answering on the assumption that they each
kept $20.75.
STEP 1:
divide total prize money by 2
= $50 ÷ 2
= $25 each won
STEP 2:
If they each kept $20.75
= $25 won - $20.75 each kept
= $4.25 each gave away
STEP 3:
multiply amount given away by 2 people
= $4.25 * 2 people
= $8.50 total given away
ANSWER: The total given to Romy is $8.50.
Hope this helps! :)
Answer:
<em>The employees will work for 1 hour, will earn $5 per hour and will be paid $5</em>
Step-by-step explanation:
<u>System of Equations</u>
The number of hours the employees work is x.
And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation
10y-30x=20
The business owner states that the employees should be paid a wage given by the equation
6y+30x=60
Adding both equations we have:
16y = 80
Dividing by 16:
y = 80/16 = 5
Substituting into the first equation:
10*5-30x=20
Operating and simplifying:
50-30x=20
50 - 20 = 30x
30x = 30
x = 30/30 = 1
Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5
Answer:
The second choice is the correct one.
Step-by-step explanation:
20x^4 - 45x^2
GCF is 5x^2, so the factors are:
5x^2( 4x^2 - 9)
Now 4x^2 - 9 is the differencr of 2 squares:
4x^2 - 9 = (2x + 3)(2x - 3)>
Answer:197.8
The formula for a cylinder is 3.14*r^2*h but if you don't round to the nearest tenth the the answer is 197.82034.
Step-by-step explanation:Step one mutiply 3^2=9, Step two mutiply 3.14*
9=28.26, Step three mutiply 28.26*7=197.82.But if you round 197.82034 to the nearest tenth which is moving one decimal place to the right you'll will get 197.8.
