Okay here:
Let L be the length and W the width of the rectangle.
1. w=2•L
2. 2L+2W=36
Substitute eq. 1 into eq. 2,
2L+2•(2•L)=36
2L+4L=36
6L=36
L=9
Not done yet, then from eq. 1,
W=2•L
W=2•9
W=18 <------- Your answer. :)
We know there are 60 minutes in an hour. To find 2/3 of an hour we divide 60/3 to find 1/3 and multiply by 2 so:
60/3 = 20
20*2 = 40 minutes (which is 2/3 of an hour) to do science
We do the same thing with the 40 minutes. To find 1/4 of 40 minutes we divide 40 by 4 and then multiply it by 3 to get 3/4 so:
40/4 = 10
10*3 = 30 minutes
Then subtract the times 40-30 = 10 minutes
It took her 10 more minutes to complete her science homework.
Hope that helps
Answer:
ooohh yeah i kinda suck at geometry lol nearly failed sophomore year last year haha
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
(a)
= 1 ( any value divided by itself = 1 )
(b)
= a ( any value divide by 1 is the value itself )
(c)
× 
= 
The product of 2 fractions is the product of the numerators divided by the product of the denominators
(d)
÷ = 
To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
÷ = × 
=
(e)
+ 
= 
Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also
(f)
- = 
See explanation for part (e)
Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
