Answer:
The distance from point A to the line of reflection is the same as the distance from point AGH to the line of reflection. This means that the line of reflection bisects .
1) 4 2 2
2) 5.77 2.89 2.89
3) 7.9 3.95 3.95
Step-by-step explanation:
The three dots after the 777 indicate that the pattern repeats forever. Specifically the 7s go on forever (the 1 does not repeat and its only listed one time)
Let
x = 0.1777...
The goal is to find the value of x in terms of a fraction of whole numbers (eg like 2/3 or 4/5)
The trick is to somehow get the decimal portion that goes on forever to go away. We will do this through subtraction. But first, we need to do a bit of side work.
Multiply both sides of the equation above by 10
x = 0.1777...
10*x = 10*0.1777...
10x = 1.777...
Notice how this moves the decimal over 1 spot to the right
Then go back to the original equation for x and multiply both sides by 100
x = 0.1777...
100*x = 100*0.1777...
100x = 17.777...
Now the decimal is moved over two spots to the right
-----------------------------------
In summary so far, we have
10x = 1.777...
100x = 17.777...
If we subtract 100x - 10x then we'll have
100x - 10x = (17.777...) - (1.777...)
90x = 16
The decimal portion 777... cancels out when we subtract. This is because the terms line up perfectly and subtract to 0
The last few steps is to solve 90x = 16 for x. We divide both sides by 90 and then reduce as much as possible
90x = 16
90x/90 = 16/90
x = 16/90
x = 8/45
Therefore the final answer is the fraction 8/45
I recommend you use a calculator to confirm that 8/45 will have the decimal form of 0.1777...
Note: your calculator may round the last digit from 7 to an 8
Answer:
-4
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1)
Where m is the slope and (x1,y1) is a point on the line
y + 3 = -4(x - 5)
The slope is -4
Answer:
x = 9.99
Step-by-step explanation:
Using sine law , we have
Sine F/f = sine E/x
Sine 55deg/12 = Sine43deg/x
0.8192/12 = 0.6820/x
Cross multiply
0.8192 X x = 12 x 0.6820
0.8192x = 8.184
Divide both sides by 0.8192
0.8192x/0.8192=8.184/0.8192
x = 9.99
Answer:
Hi There the correct answer to this is The diagonal of a cube is the square root of 3x^2, where x is a side of length....The three dimensional diagonal is the counterpart to the two the dimensional hypotenuse found in a right triangle...mathematically a three dimension diagonal can be found with an extension of the Pythagorean Theorem adapted to the three dimensions...
d^2=x^2+y^2+z^2 but since we are dealing with a cube, x=y=z=s where s is a side lenght...
d^2=3s^2 and we are told that the diagonal is 30 in. so
3s^2=30^2
3s^2=900
s^2=300
s=√300
s=10√3 in. exact
s≈17.3 in. (to the nearest tenth of an inch)
Hope it helps!