20. Given the area, find the side length.
1 answer:
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Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST = PQ substitute values
- 32 + 9x = (- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4
Answer:
The equation is
Step-by-step explanation:
Let the exponential function is , where m is the angle of the swing forward and n is the number of swings.
Here, a and b are constants.
Now, for n = 1, m = 18 degrees and for n = 2, m = 13.5 degrees.
Therefore, the two equations that we can write are :
............. (1) and
................. (2)
Now, solving the above two equations we get,
⇒ b = 0.75
So, from equation (1) we get,
Therefore, the equation is (Answer)
Answer:
The minimum number of hours that Sara could have worked is 31 hours .
The inequality representation of possible value of h is 105 + 7.25 h 329.75
Step-by-step explanation:
Given as :
The earning of Sara in per hour amount = $7.25 per hour
The additional earning of Sara as tips = $105
The Total earning of Sara = $329.75
Let The minimum number of hours that Sara could have worked = h hours
<u>Now, According to question</u>
The Total earning of Sara = The earning of Sara in per hour amount × minimum working hours + The additional earning of Sara as tips
I.e $329.75 = $7.25 per hour × h + $105
Or, $105 + $7.25 per hour × h = $329.75
Or, $7.25 per hour × h = $329.75 - $105
Or, 7.25 per hour × h = 224.75
∴ h =
I,e h = 31 hours
So, The number of hours Sara worked = h = 31 hours . Answer
Hence, The minimum number of hours that Sara could have worked is 31 hours .
The inequality representation of possible value of h is 105 + 7.25 h $329.75
Answer