Looking at the angles of the triangles
N=S
M=R
O=T
so MON would be RTS
1.) <span>the ratio of the note A to middle C = 440.0 / 261.6 = 1.6820 ≈ 1.6818
2.) </span><span>the ratio of the note D to middle C = 293.7 / 261.6 = 1.1227
3.) </span><span>D# = 293.6 x 1.0595 = 311.1
4.) </span><span>the ratio of the frequency of G to C is 1 : 262/392 = 1 : 0.6683 ≈ 3 : 2
5.) </span><span>the ratio of the frequency of E to C = 1 : 262/330 = 1 : 0.7939 ≈ 5 : 4
6.) The </span><span>component in a musical note is referred to as the pitch of a sound is the frequency.</span>
Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be
and
the amounts of nickels and dimes that Carrie and Joan have, as
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate
by equalizing (Eq. 1) and (Eq. 2):

Then, we reduce the resulting formula by (Eq. 3):



And rest of variable are now determined:




Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Given:
The given expression is:

To find:
Part A: The expression by factoring out the greatest common factor.
Part B: Factor the entire expression completely.
Solution:
Part A:
We have,

Taking out the highest common factor 3y, we get

Therefore, the required expression is
.
Part B:
From part A, we have,

By grouping method, we get


Therefore, the required factored form of the given expression is
.
Width = 7cm
Length = 13cm
<u>Explanation:</u>
Area of rectangle = 
Let width of the rectangle = b ,
So, length = b+6
Area of rectangle = (length X width) - eqn 1
Putting the value of length and width in above equation 1,

On solving the quadratic equation we get,
b = 7cm
So, width (b) = 7cm
and length = 7+6
l = 13cm
Hence,
Width = 7cm
Length = 13cm