There are 31 possible lengths for the third side.
Unknown Side + 16 > 21
Unknown Side > 5
16 + 21 > Unknown Side
37 > Unknown Side
Unknown Side < 37
So, the possible integer lengths range from
6 - 36
= 36 - 6 + 1
= 31 possible lengths
The length of the third side of a triangle has to continually be among (but not equal to) the sum and the distinction among the alternative facets. As an instance, take the example of two, 6, and seven. and consequently, the 0.33 facet length has to be extra than four and less than eight.
The regulation of Cosines to calculate the unknown aspect, then use the Law of Sines to find the smaller of the opposite angles and then use the 3 angles add to 180° to find the final attitude.
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The ratio is 14:5, as 42 divided by 3 is 14 and 15 divided by 3 is 5.
Inside of the triangle must = 180. Let angle '4' = x. x + 45 + 47 = 180. Combine like terms, x + 92 = 180. Subtract 92 on both sides, x = 88.
Now angle '4' and angle '3' must equal 180 because they are on the same plane. Let angle '3' = y. y + 88 = 180. Subtract 88 on both sides, y = 92.
So Angle 4 is 88 degrees and Angle 3 is 92 degrees.
Answer:
Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.
Step-by-step explanation:
In order to create an inequality to this problem we first need to take the initial amount he has and sum it with the days he has to work "x" multiplied by the amount he earns each day. We then have:
saleem money = 20 + 23*x
Since he wants to buy a $140 fish tank he needs to work until his money is greater or equal than this amount. So we have:
23*x + 20 >= 140
23*x >= 140 -20
23*x >= 120
x >= 120/23
x >= 5.22
Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.
