Answer:
68.8cm^2
Step-by-step explanation:
A trapezoid=h/2(b1+b2)
A trapezoid=6.4/2(12.9+8.6)
A trapezoid=3.2(21.5)
A trapezoid=68.8cm^2
Answer:
The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Step-by-step explanation:
Given the data in question;
hyperbola is centered at the origin, this means h and k are all equals to 0.
Vertices: (-3,0) and (3,0)
Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.
h - a = -3
0 - a = -3
a = 3
Foci: (-4,0) and (4,0)
h - c = -4
0 - c = -4
c = 4
we know that, for a hyperbola
c² = a² + b²
so
⇒ ( 4 )² = ( 3 )² + b²
16 = 9 + b²
b² = 16 - 9
b² = 7
So the equation for the hyperbola will be;
⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1
so we substitute
⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1
⇒ ( x² / 3² ) - ( y² / 7 ) = 1
⇒ ( x² / 9 ) - ( y² / 7 ) = 1
Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1
1.5 as a percent would equal 150% because imagine that the decimal was in front of the 1. Now all you would do is move the decimal over 2 and BAM 150.
If you try it on paper it makes more sense.
Now 1.5 as a fraction is 3/200. Don't ask me how I know that, but I just do.
Hope this helps you!
Answer:
1) 4
2) 45
3) 104
Step-by-step explanation:
1)
let x be your number.
((6x+8)/4)-5 = 3
add 5
(6x+8)/4=8
multiply by 4 to get rid of the denominator
6x+8=32
subtract 8
6x=24
divide by 6
x=4
2) Same type. (this time I won't explain every step)
let x be your number
((x/9)-8+6)*7 =21
(x/9)-8+6=3
(x/9)-2=3
x/9 = 5
x=45
3) Same type... Again
let x be your number
(((x-4+11)*2)/6)-8 = 29
((x-4+11)*2)/6=37
(x-4+11)*2 = 222
x+7=111
x= 104