Answer:
Since we have a 30° - 60° - 90° triangle, we can calculate any side by knowing at least one out of three:
Since the length of the hypotenuse is twice as long as the shorter leg, we have:
The length of the short leg is: 25/2 = 12.5
Since the length of the longer leg is equal to the length of the shorter leg
multiply by square root of 3 we have:
The length of the longer leg is: 12.5 × √3 ≈21.65
=> The perimeter of the triangle is: 25 + 12.5 + 21.65 = 59.15
2x+4y=0
3x+y=10
So what we want to do is get y onto one side by itself using whatever equation you like.
So I'm taking 2x+4y=0 and subtracting 4y from both sides
So we end up with
2x=4y
Divide both sides by four
2/4x is 1/2 x
So we get 1/2x=y
Take this and plug it into the other equation
3x+y=10
3x+1/2x=10
Add your like terms
3 1/2x=10
Putting 3 1/2 as a mixed number we get 7/2
So..
7/2x=10
Multiply by the opposite of 7/2 on both sides
Which is 2/7 this will cancel out the left side.
So we end up with
X= 10•2/7
X=20/7
Which is 2 and 6/7 as a mixed number.
Answer:
B
Step-by-step explanation:
.
I think it's like 2.739 × 10
Answer:
0.003981 . . . . moles per liter
Step-by-step explanation:
The concentration of H+ ions in the acid will be ...
10^(-2.4) ≈ 0.003981 . . . . moles per liter
The concentration of H+ ions in the base will be ...
10^-11.2 ≈ 0.000 000 000 006310 . . . . moles per liter
To a few decimal places, the difference is ...
0.003981 . . . . moles per liter
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The two numbers differ by about 9 orders of magnitude, so the value of the difference between the larger and the smaller is essentially the value of the larger number. The smaller one, by comparison, can be considered to be zero (for subtraction purposes).