Answer:
no
Step-by-step explanation:
Answer:
<h3><u>Firs</u><u>t</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use sine
sin ∅ = opposite / hypotenuse
From the question
The hypotenuse is 50
The opposite is 25
So we have
sin ? = 25 / 50
sin ? = 1/2
? = sin-¹ 1/2
<h2>? = 30°</h2>
<h3><u>Sec</u><u>ond</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use tan
tan ∅ = opposite / adjacent
From the question
the opposite is 8
the adjacent is 33
So we have
tan ? = 8/33
? = tan-¹ 8/33
? = 13.62
<h3>? = 14° to the nearest degree</h3>
Hope this helps you
Answer:
The answer is attached to the picture
Answer:
4
Step-by-step explanation:
Class width is said to be the difference between the upper class limit and the lower class limit consecutive classes of a grouped data. To calculate class width, this formula can be used:
CW = UCL - LCL
Where,
CW= Class width
UCL= Upper class limit
LCL= Lower class limit
From the table above:
For class 1, CW = 64 - 60 = 4
For class 2, CW = 69 - 65 = 4
For class 3, CW = 74 - 70 = 4
For class 4, CW = 79 - 75 = 4
For class 5, CW = 84 - 80 = 4
Therefore, the class width of the grouped data = 4
Answer:
It will take both faucets 200 minutes to fill a pool with 9,000 liters of water
Step-by-step explanation:
Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water
What we need here is to have a joint rate for both faucets;
For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;
100/5 = 20 liters per minute
For the second faucet, the per minute rate will be 100/4 = 25 liters per minute
So therefore, the joint rate will be;
25 liters per minute + 20 liters per minute = 45 liters per minute
So the time needed to fill 9,000 liters of water in a pool will be ;
9000 liters/ 45 liters per minute = 200 minutes
