Answer:
you need to post the pic of the triangle smh
Answer:
Slope 4
X-intercept -2
Y-intercept 8
Step-by-step explanation:
Just expand it, high-schooler, and what does <span>B.B.ghdedfggggnmngffdgbh mean
</span>
Answer:
The total number of combinations is 2,358,720,000
Step-by-step explanation:
For the letter part of the ID we have 3 letters out of a space of 26 possible letters (a-z), and they can't repeat. For the number part we want to group 5 numbers out of 10 possible algarisms (0-9).So we can make an arrangement for the letters and one for the numbers and multiply them. The arrangment can be done using the following formula:
A(n,k) = (n!)/(n-k)!
Where n is the total number of possibilities and k is the size of the group.
For the letters:
A(26,3) = (26!)/(26-3)! = (26!)/(23!) = (26*25*24*23!)/(23!) = 26*25*24 = 15600
For the numbers:
A(10,5) = (10!)/(10 - 5)! = 10!/5! = (10*9*8*7*6*5!)/(5!) = 10*9*8*7*6*5 = 151200
The total number of combinations is the product of both, so:
combinations = 15600*151200 = 2,358,720,000
Answer:
Step-by-step explanation:
Draw a right triangle with angle 
. In all right triangles, the sine of an angle is equal to its opposite side divide by the hypotenuse of the triangle. Therefore, label the side opposite to as 2 and the hypotenuse (longest side) of the right triangle as 3.
To find the last side, use the Pythagorean Theorem:
, where 
is the hypotenuse of the triangle.
Solving for 
:
In all right triangles, the cosine of an angle is equal to its adjacent side divided by the hypotenuse. However, the cosine of all angles in Quadrant III are negative. Therefore, the desired answer is 
.
Verify:
