Answer:
m = 2
Step-by-step explanation:
m m+3
----- = ----------
4 10
Using cross products
10m = 4(m+3)
Distribute
10m = 4m+12
Subtract 4m from each side
10m-4m = 4m-4m+12
6m = 12
Divide by 6
6m/6 = 12/6
m = 2
Best answer would be 4 out of 9 (4/9). This is in simplest form. To find probability in this form, find the amount of numbers less than ten (4), then put it over the amount of numbers in the list (9).
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Answer:
3x +45°=180° (due to straight angle)
or, 3x= 180°-45°
or,3x= 135°
or,X=135°/3
X =45°.ans
Answer:
Subtracted 12 times a number from 72 is less than 24.
Step by step solution
Given inequality is
We need to write in word.
12a means 12 times a number “a”
72-12a means subtract 12a from 72.
72-12a<24 means result is less than 24.
Inequality shows “Subtracted 12 times a number from 72 is less than 24”
If we solve for number “a”
-12a<24-72
-12a<-24
a>2
All the number greater than 2 satisfy the given inequality.
Answer:
○![\displaystyle -\frac{2\sqrt{3}}{3}\:[or\:-\frac{2}{\sqrt{3}}]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B3%7D%5C%3A%5Bor%5C%3A-%5Cfrac%7B2%7D%7B%5Csqrt%7B3%7D%7D%5D)
Step-by-step explanation:
You have to know the Unit Circle on this one. So, to start off, in the degree-angle range from 180° - 270° [Quadrant III], you must figure out the cosine value that gives you −½, and according to the graph, <em>theta</em><em> </em>will be represented as 240°. So, now that we have our <em>θ</em>, looking at the <em>y-value</em><em> </em>240°, since we want the <em>cosecant</em><em> </em>function, all we have to do is take the multiplicative inverse of
which gives you 
Extended Information

![\displaystyle -\frac{2\sqrt{3}}{3} = [-\frac{\sqrt{3}}{2}]^{-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B3%7D%20%3D%20%5B-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5D%5E%7B-1%7D)
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