What is the solution and the inequality ?

Carol used 1.8 gallons of paint for a barn.She used 1/5 of the remaining paint for a dog house. She had 2/7 paint left. How much

Lilit [14]

1 4/5 + 1/5 + 2/7 =

1 28/35 + 7/35 + 10/35 =

1 45/35 = 2 35/45 =

2.78 gallons rounded to the nearest hundredth

5 0

3 years ago

How do I solve the equation in an interval from 0 to 2π ? 9 cos 2t = 6

Ivahew [28]

$9\cos(2t)=6\implies\cos(2t)=\dfrac23$

Using the fact that cos is 2π-periodic, we have

$\cos(2t)=\dfrac23\implies2t=\cos^{-1}\left(\dfrac23\right)+2n\pi$

That is, $\cos(\theta+2n\pi)=\cos\theta$ for any $\theta$ and integer $n$ .

$\implies t=\dfrac12\cos^{-1}\left(\dfrac23\right)+n\pi$

We get 2 solutions in the interval [0, 2π] for $n=0$ and $n=1$ ,

$t=\dfrac12\cos^{-1}\left(\dfrac23\right)\text{ and }t=\dfrac12\cos^{-1}\left(\dfrac23\right)+\pi$

4 0

3 years ago

A cylinder has a volume of 308 cubic inches and a height of 8 inches.What is the radius of the cylinder?Usr 3.14 for pie round t

timurjin [86]

Answer: 3.5 inches

Step-by-step explanation:

3 0

3 years ago

Se hizo un descuento por entrada así:10 % f1, 8 % f2, 6 % f3 y 4 % f4. Si los grupos entraron en las franjas 1, 2 y 4, ¿cuánto d

Sedaia [141]

Trying b and tell me is not correct
Please tell me

6 0

3 years ago

The graph of a line has a slope of 3 and passes through the point (–4, –5).

Alenkinab [10]

Answer

(C) y +5 =3(x+4)

We will use the point-slope formula to solve this problem.

We will use the point-slope formula to solve this problem.(y+5)=3(x+4)

)Explanation:

)Explanation:We can use the point slope formula to solve this problem.

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:(y−(−5))=3(x--(4))

=> (y+5)=3(x+4)

3 0

2 years ago