Answer:
9 < x < 17 is the possible length of the third side of a triangle.
Step-by-step explanation:
The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.
Given the two sides of the triangle
Let 'x' be the length of 3rd size.
According to the Triangle Inequality theorem,
The difference of two sides < x < The sum of two sides
13 - 4 < x < 13+4
9 < x < 17
Therefore, 9 < x < 17 is the possible length of the third side of a triangle.
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a(2)=4*a(1)==>a(1)=12/4=3
a(0)=3/4
a(n)=3/4 * 4^n (genearl term)
Answer:
r=7
Step-by-step explanation:
5r-7=2r+14
add sevento both sides
5r=2r+21
Subtract 2r from both sides.
3r=21
divide both sides by 3
r=7
Savings account100 shares x $9.75 = $975, then multiplied by 0.045 will result to $43.89.
Stock100 shares x $9.75 = $975, then multiplied by 0.08 will result to $78.00.
So, the difference between your stocks and savings account by end of the year is $34.11 ($78.00 deducted by $43.89).Your stock is gaining higher APR by $34.11 than what's calculated in your savings account.
Let the two sides of a right triangle be equal to one, which means that the hypotenuse is √2
Since cosa=adjacent side / hypotenuse
cos45=1/√2
We can rationalize the denominator by multiplying numerator and denominator by √2
√(2)/2
or if you prefer: √(1/2)