Answer:
<em>a:b:c=8:12:15</em>
Step-by-step explanation:
<u>Combined Ratio</u>
We are given the ratios:
a:b=2:3
b:c=4:5
The combined ratio a:b:c will include all three variables in one single expression.
Before finding it, we must have a common number for the common variable (b). Since b is 3 in the first ratio and 4 in the second ratio, we must equate both by finding the LCM of 3 and 4=12, thus both ratios will be amplified as follows:
a:b=2:3=(2*4):(3*4)=8:12
b:c=4:5=(4*3):(5*3)=12:15
Now there is a common factor in both ratios, we can combine them removing the common factor:
a:b:c=8:12:15
Let one number be x
Let another number be y
ATQ
x + y = -12 => y = -x -12 {mark as the first equation}
xy = 20 { mark as the second equation}
Substituting value of y in second equation
x( -x - 12) = 20
-x² - 12x = 20
-x² - 12x - 20 = 0 { middle term splitting}
-x² -10x - 2x -20 = 0
-x( x + 10 ) -2 ( x +10 )
( -x - 2 ) ( x + 10 ) are the factors.
-x -2 = 0 x + 10 = 0
-x = 2 x = -10
x = -2
so we get two values of x i.e. -2 and -10
now substituting value of x in first equation ( x = -2 )
y = -x - 12 y = -x - 12
y = - ( -2 ) - 12 y = -(-10) - 12
y = 2 - 12 y = 10 - 12
y = -10 y = -2
So we get to know that if x = -2 then y = -10 And when x = -10 then y = -10.
Hope this help :)
Assume Chad is standing up straight.
Chad, the shadow of Chad, and the line from the top of Chad's head to the end of the shadow form a right triangle.
Chad and the shadow are the two legs of the right triangle, the line form the top of Chad's heat to the end of the shadow is the hypotenuse.
the angle facing Chad is 23 degree.
One leg length is given. To find out other leg (the height of Chad), use tangent.
tan23=x/14.3
x=tan23*14.3
use a calculator, x≈6.07
this answer makes sense because 6 feet is about the height of a man.
Answer:
"A" seems to be incorrect....
Step-by-step explanation:
"A" seems to be incorrect....
