There are 25 students performing in the holiday concert. Of the students, 11 are boys. What percent of the students are boy's? P
2 answers:
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You can use the fact that a number raised to negative powers can be written as 1 divided by that number raised to positive number.
The value of the given expression when m = -5 and n= 3 is
Suppose we've got . then it can be rewritten as
It is because for any a except 0, and that
If base are same and there is multiplication, then there will be addition in power.
Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)
Thus,
The given expression is
Putting m = -5 and n=3, we get:
Thus,
The value of the given expression when m = -5 and n= 3 is
Learn more about base and exponent(power) here:
Answer:
Area: 15.53 square inches
Perimeter: 15.71 inches
Step-by-step explanation:
Area:
So the area of the rectangle is pretty easy to find and is just the width * height. In this case it's 4 * 3 which is 12. Now the area of a circle is . But since this is a semi circle it's half of that which is
. The diameter of the semicircle is 3 as it sits on top of the rectangle. The radius is half of the diameter so the radius is 1.5. Now plug that into the equation and you get
. Now add that to 12 and you get 15.5325. Round that number to the nearest hundredth and you get 15.53. So that's the area.
Perimeter:
Pi is the ratio of any circle's circumference to the diameter. Or in other words the circumference is equal to the diameter * 3.14. The diameter is 3 which you multiply by 3.14 to get the circumference of a circle. This will get you 9.42 but since it's a semicircle, the circumference is half of this value which is 4.71. The perimeter of the rectangle is just 2 times the width + 2 times the height. This is not completely the case in this shape since one of the sides of the rectangle is not a side of the two shapes joined together. Which is the side that is parallel to the side of length 3 inches. So the perimeter is going to be 2(4) + 3. This gives you 11 which you add to the 4.71 and get 15.71
Answer:
Step-by-step explanation: