Answer:
$35
Step-by-step explanation:
If $21 is 60% of the original price, then the original price is ...
21 = 0.60p
21/0.60 = p = 35
The original price is $35.00.
Answer:
a) 165.52 degrees.
b) 131.41 degrees.
c) 118.96 degrees.
d) 159.73 degrees.
Step-by-step explanation:
The sine of an obtuse angle is positive as it is in the second quadrant.
a) Using a calculate the angle whose sine ( arcsin) is 0.25 = 14.478 degrees
so the obtuse angle = 180 - 14.478 = 165.52 degrees to nearest hundredth
b) c) and d) are calculated in the same way.
Answer:
A. 2
Step-by-step explanation:
The computation is shown below:
As we know that
The Volume of a right circular cylinder is

Here r is the radius
And h is the height
Now it is mentioned that the height of the right circular cylinder P is double to the height of the right circular cylinder Q
Now let us assume h be the height of cylinder p
And, H be the height of cylinder Q
So the equation is
h = 2H ........(1)
Also
The radius of both the cylinders would be the similar length
So
we assume the r be the radius of both cylinders
Now
The Volume of cylinder Q = 
And for P it is 
Now substitute equation 1

Hence, the correct option is A.
4/5 is 80% so 48 represents 80% so it's 48/80*100 = 60
Answer:
14.54
Step-by-step explanation:
In a <em>weighted average</em> a “weight” is associated to each value.
The weighted mean is computed the following way:
Suppose you want to calculate the weighted mean of the values
a1, a1, …, an
with weights
w1, w2,..., wn
Then
<em>Weighted mean</em> =(w1*a1+w2*a2+... +wn*an)/(w1+w2+...+wn)
In this case we have
a1= 12, w1 = 8
a2 = 13, w2 = 6
a3 = 17, w3 = 12
<u>Weighted mean </u>
(12*8+13*6+17*12)/(8+6+12) = 14.54 rounded to 2 decimal places.