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gizmo_the_mogwai [7]
3 years ago
14

If f(x)=4x -11. whats is the value of f(5)9

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0

f(x)=4x-11\\\\\text{Put the value of x = 5 to the equation of the function}\\\\f(5)=4(5)-11=20-11=9

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6 0
3 years ago
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The length of a rectangle is twice it’s width. If the area of the rectangle is 162m ^2,find its perimeter
GalinKa [24]

Answer:

{ \tt{area = length \times width}} \\ { \tt{162 = 2w \times w}} \\ { \tt{162 = 2 {w}^{2} }} \\ { \tt{ {w}^{2}  = 81}} \\ { \tt{w = 9}}

  • width, w = 9 m
  • length, l = 2 × 9 = 18 m

{ \tt{perimeter = 2(l + w)}} \\ { \tt{p = 2(18 + 9)}} \\ { \tt{p = 2 \times 27}} \\  \\ { \underline{ \tt{ \:  \: perimeter = 54 \: m \:  \: }}}

6 0
2 years ago
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A cone has a volume of 3533.5 cubic inches and a radius of 15 inches. What is its height?
tia_tia [17]

Answer:

   h=14.9966

Step-by-step explanation:

1. The formula of the volume is:

        V=\frac{ab(h)}{3}

2. So you have to substitute the the data that you have:

       3533.5in^{3}=\frac{ab(h)}{3}

3. To have the area of the base (ab) you have to get the formula of the circle's area and solve:

       A=\pi(r^{2})

       A=\pi(15^{2})

       A=3.1416(225)

       A=706.86in

4. Now you have the area of the base:

        3533.5in^{3}=\frac{706.86(h)}{3}

5. In this step you are going to clear the variable which is the heigh (h) and solve as an equation:

         3533.5in^{3}=\frac{706.86(h)}{3}

     3533.5in^{3}(3)=706.86(h)

               \frac{10,600.5}{706.86}=h

                       h=14.9966

The result may vary depending on the value of \pi that you use,

7 0
2 years ago
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