Answer:
A = 20 unit^2
Step-by-step explanation:
We can find the length of the hypotenuse using the Pythagorean theorem
a^2 + b^2 = c^2
2^2 + 4^2 = c^2
4+16 = c^2
20 = c^2
Taking the square root of each side
sqrt(20) =c
We want to find the area of the square
A = s^2 where s is the side length
A = (c^2)
A = (sqrt(20))^2
A = 20 unit^2
44,596,251 rounded to the nearest million is 45,000,000. 28,257,934 rounded to the nearest million is 28,000,000.
45,000,000 - 28,000,000 = 17,000,000
17,000,000 is the answer.
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Answer:
1. 18 (sqrt21 - sqrt2a)
2. 3
3. x^m/n
4. (5x^4√10)/(√2x)
5. x = -2 or -6
6. x = 30
Step-by-step explanation:
Number 1
3^3sqrt21 - 6^3sqrt2a
3 * 6 * sqrt21 - sqrt2a
18 (sqrt21 - sqrt2a)
Number 2
3^1/2 * 3^1/2 =
3^1/2+1/2 =
3^1 =
3
Number 3
^nsqrtx^m =
x^m/n
Number 4
(√250x^16)/(√2x) =
(√25 * 10 * x^16)/√(2x )=
(5x^4√10)/(√2x)
Number 5
√2x + 13 - 5 = x
√2x + 13 = x + 5
square both side to take away the sqrt sign
(√2x + 13)^2 = (x + 5)^2
expand the equation on the RHS
2x + 13 = x(x+5) + 5(x+5)
2x+13 = x^2 + 10x +25
substract 13 from both sides
2x = x^s + 10x +12
subtract 2x from both sides
0 = x^2 +8x + 12
Factorize equation
x^2 + 6x +2x + 12 = 0
x(x+6) + 2(x+6) = 0
(x+2)(x+6) = 0
x = -2 or -6
Number 6
3 ^5sqrt(x+2)^3 + 3 = 27
subtract 3 from both sides
3 ^5sqrt(x+2)^3 = 27 - 3
3 ^5sqrt(x+2)^3 = 24
divide through by 3
^5sqrt(x+2)^3 = 8
square both sides by 5 to take away the 5th root sign
(x+2)^3 = (8)^5
(x+2)^3 = 32,768
take the cube root of both sides to take away the ^3
x+2 = ^3sqrt 32,768
x+2 = 32
x = 32 - 2
x = 30
The way calculate the volume is l*w*h, 3 times 5 times 7 is 105
Answer: D. 105 km^3
THE ANSWER WOULD BE 5.5
EXPLANATION: AB IS 2.5 and DC IS 8
2.5 - 8 = 5.5