X is a positive acute angle. That means x is located in the first quadrant and has positive value in sin, cos, tan.
The formula of trigonometry ratio
cos x =

sin x =

From the formula of cosine
cos x =


from the formula above, adjacent side is 3 units, and hypotenuse is 5 units
Draw a right triangle to illustrate the location of the sides. See image attached.
To find the ratio of sine, we need to find the length of opposite side using pythagorean theorem
3² + (opposite)² = 5²
9 + (opposite)² = 25
(opposite)² = 25 - 9
(opposite)² = 16
opposite = 4
The length of opposite side is 4 units
Find sin x
sin x =

sin x =
9514 1404 393
Answer:
9.404 cm
Step-by-step explanation:
A regular polygon with n sides inscribed in a circle of radius r will have a side length given by ...
s = 2r·sin(180°/n)
For r = 8 and n = 5, this gives a side length of ...
s = 2·8·sin(180°/5) = 16·sin(36°) ≈ 9.404 . . . cm
Answer:
16
Step-by-step explanation:
grater than 13 less than 20
14,15,16,17,18,19
6 ones
16
For this problem, we can use systems of equations. I will use the variables <em>x </em> (for ice-cream) and <em>y</em> (for soda). We get the system:
2.25x+0.75y=30.00
x+y=18
Putting the second equation in terms of y, we get that y=-x+18. We can substitute this into our first equation.
2.25x+0.75y=30.00
becomes
2.25x+0.75(-x+18)=30
Solving for x, we get that x=11. This satisfies answer B.
However, if you want to check to see if this is correct, you could find y by plugging in your value of x into the first equation, then check to see if your found values satisfy BOTH equations.
2.25(11)+0.75y=30
24.75+0.75y=30
0.75y=5.25
y=7
Then we plug this into both equations to see if they are true.
2.25(11)+0.75(7)=30
24.75+5.25=30
30=30 (This is true)
x+y=18
11+7=18
18=18 (This is true).
Both equations are true, so the value for x and y are correct. We see that only answer B is supported through analyzing your work.
:)