Answer:
V=2543.4 cm^3
Step-by-step explanation:
V=pi*r^2*h
V=pi*9^2*10
V=pi*81*10
V=810pi
V=810*3.14
V=2543.4
Remember: SOH-CAH-TOA
Sine (of an angle!) = opposite / hypotenuse
We're looking at angle M here, to find the sine of M. Looking from angle M, the side that is opposite is NO and the hypotenuse is MO.
sin(M) = NO / MO = NO / 13
We do not know NO, but we can use the Pythagorean theorem to find NO because this is a right triangle.
Pythagorean theorem: a^2 + b^2 = c^2
---a and b are legs of the triangle, c is the hypotenuse
12^2 + b^2 = 13^2
144 + b^2 = 169
b^2 = 25
b = 5
NO = 5
sin(M) = NO / MO = 5 / 13
Answer: sin(M) = 5 / 13
Hope this helps!
Answer: If you wanting to find the slope, the answer would be m = -10/3
Step-by-step explanation: Use the slope formula to find the slope m.
Hope this helps you out! ☺
Answer:
10%
-0.1
1/4
Step-by-step explanation:
Complete question
Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply. 10% 1 -0.1 -1 One-fourth
step-by-step explanation
On the number line, numbers increase from left to right.
The blank is between -0.2 and 1/2.
Only numbers greater than -0.2 and less than 1/2 can fill the blank.
Range = -0.2<x<1/2
From the values given,
1) 10% = 10/100 = 1/10 = 0.1
-0.2<0.1<1/2
2) -0.2<1
But, 1>1/2
3) -0.2<-0.1<1/2
4) -0.2>-1
5) -0.2<1/4<1/2
Therefore, only 10%, -0.1, and 1/4 can fill in the blank correctly because they satisfy the range -0.2<x<1/2
Hello,
Since 3sin x-4sin^3x=sin (3x) (*****)
3sin x-4sin^3x=-1
==>sin (3x)=-1
==>3x=3π/2 +2kπ
==>x=π/2+2kπ/3, k being an integer
(*****)
sin (3x)=sin(x+2x)=sin x cos2x+cos x sin 2x
=sin x(cos²x-sin²x)+2cos²x sin x
=sin x(cos²x+2cos²x-sin²x)
=sinx(3(1-sin²x)-sin²x)
=3sin x-4sin^3x
