Answer:
This can be done in 3645 ways
Step-by-step explanation:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this problem, we have that:
1 Beethoven symphony, from a set of 9.
1 Mozart concerto, from a set of 27.
1 string quartets, from a set of 15.
So
This can be done in 3645 ways
A=#nickels, b=#quarters
5a + 25b = 410 total value
5(a + 5b) = 410
a + 5b = 82
a + b = 30 total no. of coins
subtracting . . . 4b = 52
thus b = 13 and a = 17
13 quarters and 17 nickels = 13*25 + 17*5 = 410 = $4.10
<h2>
Answer:</h2>
A) every diameter
<em>The center of a circle lies on </em><em>every diameter.</em>
<h2>
Explanation:</h2>
B) The circle: A circle is a two-dimensional shape where all points are the same distance from the center. So this definition doesn't match the definition of the center of the circle. The center is just a point not several ones.
C) A tangent line: obviously this definition is false. A tangent line is a line not a point.
D) Every chord: A chord is any line segment between two points on a circle. The only chord that passes through is the diameter. So this definition does not include all the chords of a circle
A) Every diameter: This is the correct option! A diameter is any chord that <em>passes through the center</em>.
Answer:
20
Step-by-step explanation:
we see here that angle RPN is 180 degrees. SPM is 90 degrees so
angle RPS + angle SPM + angle MPN = 180 degrees
(4y - 10) + 90 + y = 180
(4y - 10) + y = 90
5y - 10 = 90
5y = 100
y = 20
