If you have 3/5 marbles and you got 4/3more marbles then all you have to do is:3/5 x 3/3 and get 9/15.For 4/3 you multiply 4/3 x 5/5 and get 20/15.You simplify this and get 1 5/15.Now all you do is add them and get 1 14/15. Hope this helped you :-).
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
Answer:
32.5cm
Step-by-step explanation:
Using the formula A=h_b*b/2
We get 5*13/2=32.5
Answer:
i think it is 35
Step-by-step explanation:
add 20 to 15
Answer:
-5/9 ≥ 5k
Step-by-step explanation:
no less than means greater than or equal to because -5/9 is the lowest it can go (nothing less than), meaning that number or higher. 5 times a number k is just 5 times k, which is 5k to the inequality is
-5/9 ≥ 5k