Answer:
C. Tan 40 = 60/x
Step-by-step explanation:
Reference angle = 40°
Opposite side to reference angle = 60
Adjacent side = x
Apply trigonometric function TOA,
Tan 40 = Opp/Adj
Tan 40 = 60/x
Answer:
6000 lbs
Step-by-step explanation:
A ton is 2000 lbs
2000 x 3 = 6000
Answer:
42 tickets
Step-by-step explanation:
First winning = 90 tickets
Bonus won = 5 times the number of tickets of the original second prize
Total tickets won = 300
That is ;
First winning + bonus = 300 tickets
Let :
Number Tickets won by original second price = x
Bonus = 5x
Then;
90 + 5x = 300
5x = 300 - 90
5x = 210
x = 210 / 5
x = 42
9514 1404 393
Answer:
- √51 ≈ 7.141
- 1313/9900 ≈ 0.133
- ∛971 ≈ 9.902
Step-by-step explanation:
The usual rules of rounding apply. If the digit in the 4th decimal place is 5 or more, then 1 is added in the 3rd decimal place. The roots are found using your calculator. The first 4 digits of the repeating decimal are clearly visible already.
a) √51 ≈ 7.141428... ≈ 7.141
b) 0.1326_26 ≈ 0.133
c) ∛971 ≈ 9.90238... ≈ 9.902
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<em>Additional comment</em>
The repeating decimal is equivalent to the fraction 1313/9900.
Answer:
y-30 = 3(x-1)
Step-by-step explanation:
Point-slope form of an equation is
y-y1 = m(x-x1) where (x1,y1 ) is a point and m is the slope
We know on day 1 they exercised 30 minutes (1,30) where x is the number of days and y is the minutes. The rate increased 3 minutes each day so m = 3
y-30 = 3(x-1)