Your answer is 19.270656422
first, you have that sin(40)=x/8, the leg opposite and the hypotenuse. the your x is 5.142300877. To find the other leg, you do tan(40) =x/5.142300877, which is the same thing as x= 5.14230087/tan(40). your x will be 6.128355545. the only thing to do is add up the sides, and you get 19.270656422]
Sorry, it's late, and I'm a bad explainer.
The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.
A straight line is also 180°.
(2x - 12) + ? = 180
30 + x + ? = 180
If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)
2x - 12 = 30 + x
x = 42
Now you plug 42 into the exterior angle equation
2(42) - 12 = 84 - 12 = 72°
Answer:
1.) 7. (7 x 7 = 9)
2.) IDK, sorry
3.) 8/27
Apply the product rule to 2/3
2^3/ 3^3
Raise 2 to the power of 3.
8/27
4.) 9
1. Exponentiation: 3 ^ 4 = 81
2. Exponentiation: 3 ^ (-2) = 0.111111111111 = 1/9
3. Multiple: the result of step No. 1 * the result of step No. 3 = 81*1/9 = 81 · 1/1 · 9 = 81/9 = 9 · 9/1 · 9 = 9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 9) = 9. Cancelling by a common factor of 9 gives 9/1.
In words - eighty-one multiplied by one ninth = nine.
4. Exponentiation: 3 ^ 0 = 1
5.Multiple: the result of step No. 4 * the result of step No. 5 = 9 * 1 = 9
5.) 1/125
5 ^ (-3) = 0.008 = 1/125
6.) IDK, sorry
Answer:
To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value. The product of this sum is the difference between the two numbers.