I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.
The hypotenuse is 9 cm. the angle is found by:
the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60
so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.
cos 60 = x/9
9 cos 60 =x
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x = 4.5 cm
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Answer:
The equivalent percentage point drop = 10%
Step-by-step explanation:
The percentage point change is the difference between the final and initial values.
The percentage change is the difference between the final and initial values
divided by the initial value
It is required to decrease the dropout rate from 30% to 20%
The point change = 20 - 30 = -10 (-ve change ⇒ decrease)
The percentage change =
%
So, the equivalent percentage point drop = <u>10%</u>
And the percentage change = <u>33.33%</u>
Answer: 2,000
Step-by-step explanation: 22,000 - 20,000 = 2,000
Angie’s current equity on her car is 2,000
Answer:
(0,-2)
Step-by-step explanation:
Let s represent number of shirts and h represent number of hats.
We have been given that the organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each.
The cost of s shirts would be
and cost of h hats would be
. The cost of s shirts and h hats should be less than or equal to 1800. We can represent this information in an inequality as:

We are also told that organizers plan to buy at least 5 times as many shirts as hats. This means that number of shirts should be greater than or equal to 5 times hats. We can represent this information in an inequality as:

Therefore, the second inequality should be
and option C is the correct choice.