So the way to answer this question is to convert minute to seconds
We know that a minute has 60 seconds
The problem states that the hummingbird flaps its wings 80 times per second
So 80 times per second x 60 seconds = 4800 times would be the final answer.
Answer:3.677 miles
Step-by-step explanation:
First we have to know that the distance between two consecutive milestone is 1mile, I have attached a diagram representing the problem, point C being the point of the balloon and point A and point B being the points of the consecutive milestones
I labelled the horizontal length between the balloon and the first milestone x and the height of the balloon h
From the diagram, we use the tan rule for right angle triangles to find x and h
Tan22=h/x
Making her the subject of formula
h=xtan22 (1)
Similarly
Tan20=h/(x+1)
h=(x+1)tan20 (2)
Putting (1) and (2) together
We solve for x, and then input our value for in (1) to get the value for h, the solution is in the second picture I sent
Note: tan rule says the tan of an angle is equal to the opposite side of the triangle(side directly facing the angle) divided by the adjacent side of the triangle( side of the triangle the angle is resting on)
Angle of depression from C to B is also angle of elevation from B to C( alternate angle are equal)
Answer: x=-6
Step-by-step explanation:
Add 5 to both sides to get 2x by itself
Yes, subtract 1 from both sides to get 3x by itself so you can subtract 2x as to not get a negative x value
One common mistake would be to accidentaly adding or subtracting 1 or 5 when they are supposed to be added/subtracted. To avoid this just go back and check your awnser by plugging it in.
The answer is 11/36
2/12 chance of rolling fours
because there are 2 sides containing a four on both dice combined and 12 sides in total.
Doubles mean you have to roll the same number simultaneously so let’s say we want to calculate the probability for double ones: then it’s 1/6 on the first dice for a one, and 1/6 on the second dice to land on a one as well.
I personally like to imagine a box like this:
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If you have one dice then it’s just a random segment on one of the lines. If you want the specific result from two dice then you want two specific segments which is also the 1 specific tile out of 36 (6 width times 6 height). So you multiply.
1/6 * 1/6 = 1/36 chance to roll double of ones
And 1/36 chance to roll double twos, threes, fours, fives, and sixes. But we don’t count the double fours because any four will do. So:
1/36 * 5 = 5/36
So for the probability of either doubles or containing a four is the probability of doubles of either number plus the probability of either dice being a four:
5/36 + 2/12 =
5/36 + 6/36 =
11/36