Step-by-step explanation:
I think you mean opposite. If so, then hypotenuse is the answer.
The three inside angles of a triangle equal 180 degrees.
All the 3 given angles together to equal 180 to solve for x, then calculate angle A.
x + (x-8) +(3x+13) = 180
Simplify the left side by combing like terms:
5x +5 = 180
Subtract 5 from each side:
5x = 175
Divide both sides by 5:
x = 175/5
x = 35
Now x is known, replace x in the equation for angle A:
3x+13 =
3(35) +13 =
105+13 = 118
Angle A = 118 degrees.
Answer:
67,600 possible outcomes
Step-by-step explanation:
In total, it's a four digit password.
For the first digit, which is a letter, there are 26 possibilities. The same goes for the second digit, so first multiply 26 x 26 (because that's the number of possibilities for the first two digits alone).
! if the letters have to be different then it would be 26 x 25 because there's one less letter for the second digit.
Next, 2 one digit numbers. There are 10 individual digits: 0,1,2,3,4,5,6,7,8,9, so after 26 x 26 x 10 x 10 for the total number of possibilities. If the numbers have to be different (and the letters too) then it'd be 26 x 25 x 10 x 9
so 26 x 26 x 10 x 10 = 67,600
hope this helps!
Answer:
It will cost $36.38 to travel 8.9 miles.
Step-by-step explanation:
In order to get how much it will cost to travel 8.9 miles, you need to first set up a linear equation (in slope-intercept form, which is 
). You can do this with what the problem has given us. Since there's a flat fee of $3, that is the y-intercept or the 
slope-intercept form. Then there is $3.75 added for every additional mile traveled, making it the slope or the 
in slope-intercept form. That makes the equation look like:
The 
in that equation represents how far you traveled. Therefore in order to find out 8.9 miles, plug in 8.9 for .
Simply solve the equation and you will have how much it will cost to travel 8.9 miles.
Now add the like terms:
Since it needs to be rounded to the nearest cent, you will round to the nearest tenth:
Therefore, it will cost $36.38 to travel 8.9 miles.
The ratio of width to height is 5 to 8. Using this ratio, you can determine the lengths.
1. 5/8=10/x
5x=80
x=16in
2. 5/8=15/x
5x=120
x=24in
3. 5/8 = 8/x
5x=64
x=12.8in
