Answer:
b.
Step-by-step explanation:
30×0.5×63 = 945
this is not a square number. therefore, the sqrt(945) is a number of infinite digit positions after the decimal point without repeating pattern.
so, it is a prime example of an irrational number.
Answer:
4021.2 cm³
Step-by-step explanation:
you start by getting the radius, the radius is half the diameter which in this case half of 16 is 8 so 8 is your radius and you already know the height which is 20, now that we have the radius and the height we can start
the formula for finding the volume of a cylinder is πr² · h
so are formula would be π8² · 20 which turns into π64 · 20 which then turns into 1280π or 4021.238...
which you then said we need to round the nearest tenth so 4021.238 to the nearest tenth is 4021.2 cm³
We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-
Then, a square of 13 rows and 13 columns will fit the 169 students.
If the number of students is 1024, then the number of rows <em>N </em>can be calculated as :-
<h3>
<u>Final Answer :-</u></h3>
169 students will seat in a 13×13 formation.
1024 students will seat in a 32×32 formation (N=32)
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The slopes of the original function y = |x| are m = 1 and m = -1 (m is the variable used to represent slope).
when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).
because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.
with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).
with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.
