4. A rectangle is inscribed into a circle. The rectangle is cut along one of its diagonals and reflected across that diagonal to
form a kite. Draw the kite and its diagonals. Find all the angles in this new diagram, given that the acute angle formed by the diagonal of the rectangle in the original diagram was 40°.
1 answer:
Answer:
The diagrams below explain the process with angles.
Step-by-step explanation:
In figure 1, a rectangle is drawn in the circle.
Since the acute angle being drawn by the hypotenuse is 40 degree in figure 2, thus we can say the other angle will be 50 degrees.
In figure 3, the rectangle is cut across its diagonal to form a kite shaped entity within the circle.
Now we know that m∠BDE = 40° = m∠ADB.
Also, m∠A = m∠E = 90°
Thus, m∠EBD = m∠ABD = 50° ⇒ m∠B = 100°
Also, m∠ADE = 80° ANSWER
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Answer:
Step-by-step explanation:
The formula one would use for finding the volume of a rectangular prism is as follows:
- Volume = length × width × height ,
With this in mind, let's plug in the given variables in the question for this formula.
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- We don't know the height, but that's just fine. We will plug in all our values and isolate
.
- I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.
- Notice, that the units on the left side cancel out, leaving only the unit
left next to the solution. In the same way, the units on the right side cancel out too, leaving only
If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.
<h2>Hello!</h2>
The answer is:
The airplane will travel 8800 feet in 10 seconds.
<h2>Why?</h2>It's a conversion exercise, we need to be careful in order to solve it with no mistakes.
First:
We need to remember that 1 hour is equal to 60 minutes, and 1 minute is equal to 60 seconds, so, to calculate how many seconds are in one hour, we need to perform the following operation:
Second:
We need to convert from miles to feet, we need to remember that 1 mil is equal to 5280 feet.
So, solving we have:
Now, calculating how many feet does it travel in 10 seconds, we have:
We have that the airplane will travel 8800 feet in 10 seconds.
Have a nice day!