Turn the mixed number into an improper fraction, than multiply regularly. If it's an improper fraction than divide the top number by the bottom
By solving a system of equations, we will see that m measures 12 units.
<h3>
How to get the measure of m?</h3>
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
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Answer:
273.6
Step-by-step explanation:
11.4% of his daily calories intake is from sugar drink.
If he consumes 2400 calories each day , the amouth that comes from sugar drink will be 11.4% /100% x 2400
0.114 x 2400
273.6
So 273.6 calories comes from sugar drinks
Answer:
It will increase by 12 every week, 57 is just what she already had, or in slope-intercept form, 57 is b
Step-by-step explanation:
Answer:
I got (1,2).
Step-by-step explanation:
Process of elimination:
Multiply the second equation by 3 to get same terms, subtract and solve for Y to get 2.
Plug 2 into second equation for Y to get x=1
(1,2)
