Answer:
the greatest possible value for x is 6
Explanation:
Assume that the sides of the triangle are:
a = x
b = 3x
c = 20
We are given that c is the longest side.
For the triangle to be obtuse:
c^2 > a^2 + b^2
Substitute with the values of a, b and c and solve for x as follows:
c^2 > a^2 + b^2
(20)^2 > (x)^2 + (3x)^2
400 > x^2 + 9x^2
400 > 10 x^2
40 > x^2
Now, we will get the zeros of the function. This means that we will solve for x^2 = 40 as follows:
x^2 = 40
x = + or - √40
either x = 6.32
Or x = -6.32
Since we want x^2 < 40, therefore, the greatest possible value for x to satisfy this condition is 6
Hope this helps :)
Simplify the radical by breaking the radicand up into a product of known factors.Exact Form:<span><span>5<span><span>−13</span><span>√5</span></span></span><span>5<span><span>-13</span>5</span></span></span>Decimal Form:<span><span>−24.06888370</span><span>…</span></span>
Answer:
Step-by-step explanation:
Initial number of cards = c
<u>Sold </u>
<u>Remaining </u>
1/5 of r = 7
<u>Initial number:</u>
- c = r + 155 = 35 + 155 = 190
Answer:
144 inches is 4 yards
Step-by-step explanation: