We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.
Side 1: x
Side 2: x + 4
Side 3: 2x - 4
If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:
x + x + 4 + 2x - 4 = 4x.
Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.
4x = 64. Divide both sides by 4 to get x by itself.
x = 16.
Now that we know x is 16, we will substitute it in for all the side lengths’ equations.
We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.
Therefore, the final lengths of all the sides are:
Side 1: 16
Side 2: 20
Side 3: 28
Answer:
b(ab-1`)
Step-by-step explanation:
Just remove "b" from both terms and place it outside the parentheses.
Here's what you have to keep saying to yourself until it carves a new
groove into your brain and you don't have to think about it any more:
<em> " log(x) = the power that 10 must be raised to </em>
<em> in order to wind up with 'x'. "</em>
You said 2.36 = -log(x)
Multiply each side by -1 : log(x) = -2.36
Now translate it into the mantra:
<em> The power that 10 must be raised to </em>
<em> in order to wind up with 'x' is -2.36 .</em>
Do you see what that means ? ! ?
If the power that 10 must be raised to in order to wind up with 'x'
is -2.36, then all you have to do to find 'x' is raise 10 to the power
of -2.36 ! You can do that with about 4 clicks on your calculator.
10^(-2.36) = <em>0.004365...</em> (rounded)
And if you don't quite believe it, it's even easier to check it.
Punch " 0.004365 " into your calculator, and then touch the
" 10^x " key, and something very close to -2.36 will pop up
right there, before your wondrous eyes.
From Pythagoras --> 10^2 + 12^2 = 244
from corner to corner it is root244 or about 15.6 feet
Answer:
4 / 15
Step-by-step explanation:
The total number of ways 2 students can be picked is 15 * 14 = 210 because you have 15 students to begin with and after you pick one, you're left with 14 more to choose from.
The total number of ways a senior and a junior can be picked is 8 * 7 = 56 because there are 8 seniors and 7 juniors.
The probability will then be 56 / 210 = 4 / 15. Hope this helps!
