Answer:
m = 7.5
Step-by-step explanation:
4m/5 - 2m/3 =1
We want to get rid of the fractions so multiply each side by 5*3 or 15
15 *(4m/5 - 2m/3 ) =1*15
15 *(4m/5) -15( 2m/3 ) =1*15
Canceling like factors
3* 4m -5*2m = 15
Multiply
12m - 10m = 15
2m = 15
Divide each side by 2
2m/2 = 15/2
m = 7.5
<span>sin 90° = 1
</span>
cos 0° = 1
There's a simple formula : <em>sin θ = cos (90°- θ)</em> or <em>cos θ = sin (90°- θ) </em>
So : cos 0° = sin (90° - 0°) = sin 90° = 1
Answer:
Your teacher messed up the question so just put the top right answer and ask your teacher if they did accidently miss-type.
Step-by-step explanation:
The first thing to do in this equation is look at the exponents. When multiplying a variable (or any number equal to itself with the same exponent) you only have to add the exponent. So for a, you would add the exponents to get 0, so a to the power of 0 is 1, because any number to the power of 0 is 1. For b, we would add the 3 and 1. (When no exponenet is present in a number then it is 1, so for this I added 3 and 1). So it would be 4. The correct answer is
Answer:
B. 0.69
Step-by-step explanation:
Law of Cosines: cos A = (b² + c² - a²) / 2bc
cosθ = (7² + 11² - 8²) / 2*7*11 = 106/154 = 0.688 ≈ 0.69
With the facts you got here, you can make the following equation:
x*(x+2)=24
x^2+2x=24
x^2+2x-24=0
Then you can use the following formula (which you might have seen before):
x = (-b +/- sqrt(b^2-4ac))/2a
where
ax^2+bx+c=0
(-2 +/- sqrt(4+96))/2
(-2 +/- 10)/2
x_1 = 4
x_2 = -6
