The diagram is of a right triangle with
Hypotenuse = 233
One leg of the triangle = 105
Another Leg = <em>we have to find</em>
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Pythagorean Theorem can be written as:
Thus, we can write:
![\begin{gathered} 105^2+\text{AnotherLeg}^2=233^2 \\ \text{AnotherLeg}^2=233^2-105^2 \\ \text{AnotherLeg}^2=43264 \\ \text{AnotherLeg}=\sqrt[]{43264} \\ \text{AnotherLeg}=208\text{ ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20105%5E2%2B%5Ctext%7BAnotherLeg%7D%5E2%3D233%5E2%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%5E2%3D233%5E2-105%5E2%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%5E2%3D43264%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%3D%5Csqrt%5B%5D%7B43264%7D%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%3D208%5Ctext%7B%20ft%7D%20%5Cend%7Bgathered%7D)
Thus,
The distance between the traffic lights on Walnut Street is:
208 feet
Answer:
i believe the correct answer is x=2, and y=2
Answer:
Step-by-step explanation:
The formula of the volume of a cylinder is the area of its base (which is the area of a circle) times its height.
Imagine, at the first day you have only one penny. Then tomorrow you have 2 pennies, next day you have 4 (2x2), next day you have 8 (4x2), next day you have 16 (8x2).... and so forth.
It looks like geometric sequence isn't it? (the ratio between the number of pennies that you have from the 2nd day and the 1st day is 2)
So, by using geometric sequence theorem we can total those pennies until day-27
S (total pennies at day-27) = (1)(2^27-1) / 2-1 = 2^26 pennies
So, you have 2^26 pennies.. a big number of pennies huh?=))
{The formula is: S = a( r^n-1) / r-1
Where:
a= the number of pennies that you've got at the 1st day
n= number of days you spent to collect those pennies)
r= the ratio of the number of pennies}
The diagram is showing the length of each line segment.
• NM has length 110 + 4<em>x</em>
• ML has length <em>x</em> + 103 (this is the one you have to find)
• LK has length 70
• NK has length <em>x</em> + 243
The segment NK has length equal to the sum of the lengths of NM, ML, and LK. So we have
<em>x</em> + 243 = (110 + 4<em>x</em>) + (<em>x</em> + 103) + 70
Solve this equation for <em>x</em> :
<em>x</em> + 243 = (110 + 103 + 70) + (4<em>x</em> + <em>x</em>)
<em>x</em> + 243 = 283 + 5<em>x</em>
<em>x</em> - 5<em>x</em> = 283 - 243
-4<em>x</em> = 40
<em>x</em> = 40/(-4)
<em>x</em> = -10
Now solve for <em>x</em> + 103 by adding 103 to this result:
<em>x</em> + 103 = -10 + 103 = 93
So ML has length 93.
