Answer:
99.5 minutes
Step-by-step explanation:
50=45
495=?
495×45÷50=99.5
The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
Do you just wan't us to answer it or give you an explanation?
Answer:
x = √(3^125/ 5)
approx 2.9552445 * 10^29.
Step-by-step explanation:
2 log3 x + log3 5 =125
log3 x^2 + log3 5 = 125
log3 (5x^2) = 125
3^125 = 5x^2
x^2 = 3^125/ 5
x = √(3^125/ 5)
This is a huge number
An approximation of it is 2.9552445 * 10^29.
Answer:
B.-38
Step-by-step explanation:
2x - 18 = y ...(1)
x = -10 (Given)
Now,
Put the value of x in equation (1) we get,
2(-10) - 18 = y
-20 - 18 = y
-38 = y
<em><u>y = -38</u></em>
Thus, the value of y is -38
