Answer:
Step-by-step explanation:
9 * 82 = ( 10-1) * 82
= 10*82 - 1 *82
= 820 - 82
= 738
Answer:
1. 7.1 cm
2. 10.9 cm
Step-by-step explanation:
1. You know the legs of a right triangle must be shorter than the hypotenuse. The only answer choice shorter than 8 cm is 7.1 cm.
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2. By the Law of Sines, ...
AB/AC = sin(ACB)/sin(B)
AB = AC·sin(72°)/sin(38°) = 1.545·AC
The approximate value of AC from problem 1 is sufficient to get you close to the answer.
AB ≈ 7.1×1.545 ≈ 10.9 . . . cm
Answer:
25% decreased by 60% is 10
Step-by-step explanation:
New value =
25 - Percentage decrease =
25 - (60% × 25) =
25 - 60% × 25 =
(1 - 60%) × 25 =
(100% - 60%) × 25 =
40% × 25 =
40 ÷ 100 × 25 =
40 × 25 ÷ 100 =
1,000 ÷ 100 = 10
hope this helps :)
Answer:
Equation: w = (1/8) c
c at w = 44 minutes is 352 minutes
Explanation:
We are given that:
1- Time taken to cycle from library to mall is c minutes
2- Time taken to walk from library to mall is w minutes
3- Time taken to walk = 1/8 time taken to cylcle
Therefore:
w = (1/8) c
Now, we want to find c if w = 44 minutes
All we do is substitute with the w in the equation and get c as follows:
w = (1/8) c
44 = (1/8) c
c = 44*8 = 352 minutes
Hope this helps :)
X liters of 10% + (30 - x) liters of 22% = 30 liters of 15%
<span>Plugging in the numbers </span>
<span>x(10) + (30 - x)22 = 30(15) </span>
<span>Distribute </span>
<span>10x + 660 - 22x = 450 </span>
<span>Combine like terms </span>
<span>-12x = -210 </span>
<span>Divide both sides by -12 </span>
<span>x = 17.5 </span>
<span>30 - x = 12.5 </span>
<span>17.5 liters of 10% + 12.5 liters of 22% = 30 liters of 15%
THE TRICK IS TO JUST USE ONLY ONE VARIABLE</span>
