The midsegments of ABC are shown. AB = 14, QS = 7, and m∠BAC = 58°. What is m∠BCA? Enter your answer in the box.
1 answer:
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Answer:
<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.
Step-by-step explanation:
Given:
At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.
Now, to find the number of liters of saline solution each should be used.
<u><em>Let the liters of 90% saline solution mix be </em></u><u><em /></u>
<u><em>And let the liters of 40% saline solution mix be</em></u>
So, the total number of liters:
Now, the total percentage of saline solution:
Substituting the value of from equation (1) we get:
Subtracting both sides by 800 we get:
Dividing both sides by 0.5 we get:
<u>The liters of 90% saline solution mix = 800.</u>
Now, substituting the value of in equation (1) to get the liters of 40% saline solution:
<u>Thus, the liters of 40% saline solution = 1200.</u>
Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.
Answer:
45°
Step-by-step explanation:
The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...
... (4.5/12)·360° = 135°
clockwise from straight up.
The minute hand makes that 360° turn in 1 hour, so in 30 minutes, it will be 180° clockwise from straight up.
The difference between the angles of the hands is ...
... 180° -135° = 45°
