For an acute angled triangle
h^2 < x^2 + y^2 where h = longest side and x and y are the other 2 sides.
so here we have
15^2 < x^2 + (2x)^2
15^2 < 5x^2
x^2 > 15*3 = 45
x > sqrt 45 or x > 6.7
So smallest whole number value of x is 7
Answer:
0.2163
Step-by-step explanation:
Firstly, we need to evaluate the total number of possible outcomes. Since there are 16 players, and we are selecting just 5, the total number of possibilities is 16C5= 4,368
Now, we know we need 2 guards from 6 , 2 forwards from 7 and 1 center from 3 to start the game. Since we are selecting, it is a combination problem. These can be done in the following number of ways:
6C2 * 7C2* 3C1
The probability is thus (6C2 * 7C2* 3C1 )/16C5 = 945/4368 = 0.2163
When the concentration of a solution is expressed in weight percentages, that is just equal to the mass of solute over the mass of the total solution. For a solution weighing 210 grams, 5% of it is salt. That is equal to
210*0.05= 10.5 g salt
The rest of the amount, determined by difference, is the amount of solvent which is water.
water = 210-10.5 = 199.5 g salt
To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant.
Concentration = (15+10.5)/(210+15) = 0.1133 or 11.33%
Answer:
71.25 mph
Step-by-step explanation:
It is -2.5. Each step is 2.5 less
