In this problem you will need to use the Pythagorean theorem (c^2=a^2+b^2).
The a and b represents the two edges, while c is the diagonal side and it is called the hypotenuse. Since you already know what the hypotenuse is and what one of the sides already are you just have to use the problem: c^2-a^2=b^2. Then if you plug the data you already have into the problem you will get 10^2-6^2=b^2. That then equals 100-36=b^2. Then you subtract and get b^2=64. Then you square root both sides and you get the answer b=8.
The value of y will be equal to 4.
Reason : The length of the opposite cord is equal and therefore the distance from the centre to the cord will be equal.
Ans: 3rd option (4)
Hope this helps!
Answer: 
Step-by-step explanation:
The missing figure is attached.
For this exercise it is important to remember that, by definition, the opposite interior angles of an inscribed quadrilateral are supplementary, which means that their sum is 180 degrees.
Based on this, you can identify that the angle D and the angle B are opposite and, therefore, supplementary.
Knowing that, you can write the following equation:
Now you must solve for "x" in order to find its value. This is:
Then:
You know that:
Therefore, since you know the value of "x", you can substitute it into and then you must evaluate, in order to find the measure of the angle A. This is:
Answer:
1. About 1/5 chance that Mary is chosen
About 1/7 chance John is chosen
2. about 0.0286 chance mary is chosen
about 0.0154 chance john is chosen
same as answer 2
Step-by-step explanation:
1. If you do proportions, a female's chance comes to 1/5 and a male's chance comes to 1/7.
2. for females, do 1/35 and males do 1/65
same as answer 2
First, lets convert them into multipliers:
The multiplier for a:
25% increase = 1.25
40% decrease = 0.6
40% increase = 1.4
Now to work out the overall percentage change, we just times all of the multipliers together, and convert it back to a percentage:
1.25 x 0.6 x 1.4 = 1.05
So the overall multiplier is 1.05
And a multiplier of 1.05 = a <u>5% increase</u>.
That means that the percentage change is + 5%
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Answer:
The percentage change in shares from the start of 2013 to the end of 2015 is:
+ 5%
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Note: if you haven't been taught multipliers - then ask and I'll try my best to explain!
