Answer:
Solution given:
length = (3x+5)
breadth = (2y+4)
we have
area of rectangle: length* breadth
=(3x+5)(2y+4)
opening bracket
=3x(2y+4)+5(2y+4)
=6xy+12x+10y+20
=<u>12x+10y+6xy+20</u><u>u</u><u>n</u><u>i</u><u>t</u><u> </u><u>square</u>
They have a scale factor of 5:6 so first we need to find the perimeter of KLM:
Then apply the scale factor of 5:6:
Set the denominators equal:
So we see that the perimeter of GHJ is 35.
Answer:
when 
.
Step-by-step explanation:
Given: 
To find: Value of 
, substituting the known value of 
We have,
Putting in equation 
, we get
Hence, the value of is 
, when the value of is 
.
Answer:
The frequency of the note a perfect fifth below C4 is;
B- 174.42 Hz
Step-by-step explanation:
Here we note that to get the "perfect fifth" of a musical note we have to play a not that is either 1.5 above or 1.5 below the note to which we reference. Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz, we have
1.5 × Frequency of note Y = Frequency of C4
1.5 × Y = 261.63
Therefore, Y = 261.63/1.5 = 174.42 Hz.
Answer:
principal (p)=$35000
time(t)=8years
rate ( r)=7%
Step-by-step explanation:
- compounded amount(c.a)=p((1+r/100)^t )=$35000((1+7/100)^8)=$60136.5
- compound interest gain=$60136.5-$35000=$25136.5
- Karl gain interest in 1 year=$35000((1+7/100)-1)=$2450
- gain % in 1 year=$2450/$25136.5×100%=9.74%
