You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.
For the first five digits you can choose from the numbers 0,1,2...,9 or 10 choices.
A we cannot repeat the digits, so, first five digits will be:
10 × 9 × 8 × 7 × 6
Now the next 1 digit will all be letter all being different
There are 26 letters in the alphabet.. for our second digit we have 26 choices,
Here is the whole calculation:
= 10 × 9 × 8 × 7 × 6 × 26
= 786240
To learn more about calculating possibilities from the given link
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Answer:
2/4 of 360 , Perpendicular
Step-by-step explanation:
(Took the test and got this right)
If my answer qualifies please mark brainliest!
The graph is the one that correctly represents the linear piece-wise function is the first graph.
<h3>How to solve for the graph</h3>
First we have a linear function as
Mx + b
mc= slope, this is the rate of change, how y changes as x changes by 1.
b = y-intercept, y value as x = 0
y = 5 + x
x ≤ 10
at 10 we have 5 + 10 = 15
at 2 dollars
y = 15 + 2(x - 10)
at 14
y = 15 + 2(14 - 10)
15 + 2*4
= 23
Hence we can conclude that the first graph here is the correct one.
Read more on graphs here:
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There aren't any like terms so it would be
x+2y+3z
