Answer: 12 out of the 32 would be boys. Hope this helps.
Answer:269
Step-by-step explanation:
8x18=144
6x10=60
9x5=45
5x4/2=10
5x4/2=10
144+60+45+10+10=269
Answer:
a=9
Step-by-step explanation:
To solve this proportion, we have to get the variable, a, by itself.
First, cross multiply.
6/a=18/27
Multiply the denominator of the first fraction by the numerator of the second, and the numerator of the second by the denominator of the first.
a*18=6*27
18a=162
Now, 18 and a are being multiplied. In order to get a by itself, perform the opposite of what is being done. They are being multiplied, so the opposite would be division. Divide both sides by 18.
18a/18=162/18
a=162/18
a=9
So, the proportion, with 9 substituted in for a, will be:
6/9=18/27
So we know that 4.5 x 2 = 9, so it wouldn't work.
And because it wouldn't work it wouldn't take 2 hours.
4.5 = 1 hour and 9 = 2.
So we'll have to divide 4.5 by 2 by first turning it into a fraction.
4.5 = 4 1/2
4 1/2 ÷ 2 = 2 1/4
2 1/4 = 2.25
2.25 = 30 minutes.
4.5 + 2.25 = 6.75.
1 hour + 30 mins. = 1 hour and 30 minutes.
However we can still keep going.
2.25 ÷ 2 = 1.125
1.125 in fraction form is 1 1/8
1.125 = 15 minutes
1 hour and 30 minutes + 15 minutes = 1 hour and 45 minutes.
6.75 + 1.125 = 7.875
7.875 in fraction form is 7 7/8
<span>Your answer would be it would take 1 hour and 45 minutes.</span>
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( 
)sin (
)
sin x - sin y = 2cos ( )sin ( )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos( )sin( ) ]²
= 4sin² ( )sin² ( ) + 4cos² ( )sin² ( )
= 4sin² ( )[ sin² ( ) + cos² ( ) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven
