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Eva8 [605]
3 years ago
14

How do I solve w(x)=4x+5; find w(-8)?

Mathematics
1 answer:
madam [21]3 years ago
6 0
W(x) = 4x + 5

w(-8) = 4(-8) + 5 = -32 + 5 = -27
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Find the length of the arc and express your answer as a fraction times pie
Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}

To find the length of the arc, s, the formula is

\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}

Substitute the variables into the formula to find the length of an arc, s above

\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}

Hence, the length of the arc, s, is 3π units.

4 0
1 year ago
3r + 7 = -8 what does r =
jekas [21]

Answer: R = -5

Step-by-step explanation: 3r + 7= -8 is turned into 3(-5) + 7= 8.                                             -15 + 7=8

4 0
2 years ago
How much interest would be earned on a $3,200 deposit at 3.5% for 1 year?
Fynjy0 [20]

Answer:

Hey there!

I=PRT

I=3200(0.035)(1)

I=112

The interest is 112 dollars.

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia
Sav [38]

Answer:

10.12 m^{3}

Step-by-step explanation:

Given:

  • 0.07 cm thick = 0.007m and it is dr (the change in radius)

As we know that, the volume of a hemispherical dome with diameter 48 m is:

  • V = \frac{2}{3} πr^{3}

Take the derivative of V we have:

\frac{dV}{dr} = 2πr^{2}  

<=> dV = 2πr^{2}*dr

<=> dV = 2π*48^{2} *0.0007 = 10.12 m^{3}

Hope it will find you well.

6 0
3 years ago
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Of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida. Find the number preferring to vact
garik1379 [7]

Answer:

238 people

Step-by-step explanation:

68% of 350 is 238

6 0
3 years ago
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