Answer:
12∠x∠16
Step-by-step explanation:
For the triangle to be acute,a²+b²+c²,
Where c is the largest side of the triangle.
Hence, we must say x²+(x+4)²≥20²,
or after simplifying, x²+4x-192≥0 or (x+16)(x-12)≥0
Since x must have positive values only, x≥12
Therefore, for the triangle to be acute,we must have 12≤x≤16.
Let the distance be x miles
Time = Distance / speed
Time taken by Mike to go to his friend's house = x / 40 hours
Time taken by him to return = x / 45 hours
Total time = x / 40 + x / 45 = 4 hours
= 9x + 8x = 1440 miles
17x = 1440
= x = 1440 ÷ 7
= x = 84.706
Time taken to return home = 84.706 /45= 1.882 hours .
Therefore , Mike took 1.882 hours to reach home .
The first part of this question would be
3x - 18 < -90. I'm not too sure about the second part, sorry.
Hope this helped anyway :)
Alex spend $1507.92 in total to buy this stock at 3% charges on each shares.
<h3>What is shares?</h3>
Shares represent equity ownership in a corporation or financial asset, owned by investors who exchange capital in return for these units.
Alex buys 30 shares of Walmart at the close price of $48.80.
His broker charges him 3% of each share.
Purchasing of 30 shares =48.80 *30
=$1464
Now we have to find the 3% of total purchasing of shares.
So,
Broker's fees =
= 0.03 * 1464
= 43.92
So, total cost of stock= 1464+43.92
= 1507.92
Hence, Alex spend $1507.92 in total to buy this stock.
Learn more about shares here:
brainly.com/question/2120956
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