Step-by-step explanation:
2 things to remember for problems like this :
the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.
so, now for the given problems :
4.
x/sin(90) = 12/sin(29)
x/1 = x = 12/sin(29) = 24.75198408...
rounded x = 24.8
5.
the opposite angle of x is
180 - 90 - 16 = 74 degrees.
x/sin(74) = 37/sin(90) = 37
x = 37×sin(74) = 35.56668275...
rounded x = 35.6
6.
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 22/sin(58)
x = 22×sin(32)/sin(58) = 13.74712574...
rounded x = 13.7
7.
the opposite angle of 15 is
180 - 90 - 51 = 39 degrees.
x/sin(51) = 15/sin(39)
x = 15×sin(51)/sin(39) = 18.52345735...
rounded x = 18.5
Answer:
Step-by-step explanation:
No. of days Delynn played soccer = 3/5 of 45
= (3/5) * 45 = 3*45/5 = 3*9
= 27 days
Answer:
![y=\frac{c}{\sqrt[]{x^2+1} }](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bc%7D%7B%5Csqrt%5B%5D%7Bx%5E2%2B1%7D%20%7D)
Step-by-step explanation:
(1 + x²)dy +xydx= 0
Integrate both side
![lny=-\frac{1}{2} ln(x^2+1)+c\\y=\frac{c}{\sqrt[]{x^2+1} }](https://tex.z-dn.net/?f=lny%3D-%5Cfrac%7B1%7D%7B2%7D%20ln%28x%5E2%2B1%29%2Bc%5C%5Cy%3D%5Cfrac%7Bc%7D%7B%5Csqrt%5B%5D%7Bx%5E2%2B1%7D%20%7D)
Y=16 x=20
put these values in equation and see rifht or wrong
A) 16 ≠20*20 wrong
B) 16 ≠ (5/4)*20 - wrong
C) 16=(4/5)*20 - right
D) 16≠0.6*20
Answer: C) y=4/5*x
Answer:
13.7 12 20
Step-by-step explanation:
13 mean 12 median 20 range
