Answer:
x = √2 = 1.414
Step-by-step explanation:
5x-(x+2)^2=x^2-8+x
since (x+2)^2 = x^2 + 2(x)(2) + 2^2 = x^2 + 4x + 4
so
5x - (x^2 + 4x + 4) = x^2 + x - 8
-x^2 + x - 4 = x^2 + x - 8
x^2 + x^2 + x - x = -4 + 8
2x^2 = 4
x^2 = 2
x = √2 = 1.414
Answer:
1. >
2. <
3. =
Step-by-step explanation:
100x8=800, 4*7=28, multiplied by 25 is 700, therefore making 800 greater than 700. Whenever comparing two multiplication problems, multiplying large numbers produces large results, so whichever starts larger will have an end result that is larger. 100 was large and it is smaller to its counter 25.
36 elevens really means 11x36, which is 396. 40 elevens really means 40x11, which is 440 minus 11x3 which is 407. 407 is greater than 396. The same logic applies here as the previous answer, the only difference is that the removal of three elevens is still larger than 36 elevens in this case.
12x24=288, 6x24=144, doubled makes it 288. In this case, the six is half of the twelve to begin with and then is made up for later by the fact that it is doubled.
When I solve math questions like these, I ignore the fact that it doesn't want a mathematical answer, do the math anyway and pull logic from it. (If your teacher checks, do it on a separate piece of paper, and then toss it.)
Answer:
The area of the circle is 19.5 in²
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the volume of a cone
v = volume = 52 in³
r = radius
h = height = 8 in
π = 3.14
v = 1/3 * π * r² * h
we solve r
3 * v /h * π = r²
we replace the known values
3 * 52 in³ / 3.14 * 8 in = r²
156 in³ / 25.12 in = r²
6.21 in² = r²
√6.21 in² = r
2.49 in = r
now that we have the radius we need to use the area formula of a circle:
a = area
r = radius = 2.49 in
π = 3.14
a = π * r²
we replace the known values
a = 3.14 * (2.49 in)²
a = 3.14 * 6.21 in²
a = 19.5 in²
The area of the circle is 19.5 in²
note: 5≠20
also, if you multiply both sides of an inequality by a negative number, you flip te direction of the inequality sign
example: 3<5, multiply by -1, -3>-5
so given
-2<3
multiply both ides by -5 and fip sign
remember that (-)(-)=(-) and (+)(-)=(-)(+)=(-)
10>-15
4th option is answer
Answer:
16.8
Step-by-step explanation:
You have to do 360 divided my 6048 because you have to do things on both numbers like moving the decimal.
