Multiply 4.62 by a number that to get an integer.
Such as multiply by 5 is 23.10 so to get rid of 0.1, just multiply by 50 then it becomes 231.
so that means...
4.62 = 231 / 50
or a simple answer would be multiply by 100, then you get 462.
so....
4.62 = 462 / 100
And then simplify, it is divisible by 2 so the answer is 231/50
X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x
Answer:
The value of x are all real number on x-axis the number that falls under x
example of the value of x are in this equation
y=2+5x
2x+6y=60
to find x
let make the first one equation 1 and the second equation 2
now, put equation 1 in equation 2
2x+6(2+5x)=92
open the by multiplying every thing in the bracket by 6
2x+12+30x=92
combine the like terms
2x+30x=69212
32x=80
now divide via by 32
32x/32=80/32
x=5/2
The area of a triangle is 1/2 x base x height
Area = 1/2 x 24 x 28 = 336 square inches.
Because the corners are rounded the are would actually be just under 336 but no radius was given to get the exact area.
Answer:
The total surface area is: 468 in^2 which agrees with answer a)
Step-by-step explanation:
The three lateral faces of the prism are rectangles, and the sums of their areas give:
12 * 10 + 9 * 10 + 15 * 10 = 360 in^2
The area of each triangular base (notice it is a right triangle) is given by:
9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:
Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2