Answer:
2. 0.93
3. 1.13
Step-by-step explanation:
2. 0.93
decreasing means - to the 100%
3. 1.13
increasing means + to 100%
Answer:
The other 3 numbers you are looking for are:
24/11
84/11
96/11
Step-by-step explanation:
We can start off by making the numbers 2x, 7x, and 8x. We put them in expressions:
(7x-12)^2=2x(8x)
Simplify
49x^2-168x+144=16x^2
Subtract 16x^2 on each side
33x^2-168x+144=0
Divide by 3
11x^2-56x+48=0
Factor
(11x-12)(x=4)=0
Answer
x=4 or x=12/11
If x is equivalent to 4 then that means that the original numbers would be:
8, 28, 32
2(4), 7(4), 8(4)
Subtracting 12 from Y, or 28 will make it 16.
8, 16, 32
This seems to be a geometric progression
Next we have 12/11
2(12/11), 7(12/11), 8(12/11)
24/11, 84/11, 96/11
Subtracting 12 from Y, or 84/11 will get us -48/11, meaning r=-2 for the GP.
Final Answer:
8 , 28 , 32
24/11 , 84/11 , 96/11
In the triangle XYB
cos(x)=XY/XB
in the triangle AYZ
cos(z)=YZ/AZ
we know that
cos(x)=cos(z) and XY=YZ
therefore
XY/XB=YZ/AZ-------------- > (XY/YZ)=(XB/AZ) remember that XY=YZ
1=(XB/AZ)---------- > XB=AZ---------- > the statement was proved
4x + 20 = - 71 - ( 3x )
4x + 20 = - 3x - 71
Subtract sides minus 20
4x + 20 - 20 = - 3x - 71 - 20
4x = - 3x - 91
Add sides 3x
4x + 3x = - 3x + 3x - 91
7x = - 91
Divide sides by 7
7x / 7 = - 91 / 7
Simplification
x = - 13
Thus the number is ( - 13 ) .
Answer:
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
64 + 225 = c^2
289 = c^2
c= 
c= 17
