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9966 [12]
3 years ago
12

3. Write the equation of a line that passes through the point (24, 25) and is

Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0

Answer:

y=-1/3x + 33

Step-by-step explanation:

You can start by writing this in point slope form and converting to slope intercept later. Since the slope of the perpendicular line is y=3x-30, this line must have a slope of -1/3. It's point slope form is therefore:

y-25=-1/3(x-24)

Now, you can convert to slope intercept by isolating y:

y=-1/3(x-24)+25

y=-1/3x+8+25

y=-1/3x+33

Hope this helps!

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What is the inverse of y=pi/2+sin x​
Alekssandra [29.7K]

Answer:

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

Step-by-step explanation:

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y=\frac{\pi}{2}+\sin x

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x=\frac{\pi}{2}+\sin y

we now solve for y.

x-\frac{\pi}{2}=\sin y

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\sin ^{-1}(x-\frac{\pi}{2})=y

Hence the inverse of the given function is;

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6 0
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34 in.
Troyanec [42]

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = \sqrt{1156-256}

     = \sqrt{900}

     = 30 in.

Perimeter of the triangular base = AB + BC + AC

                                                      = 16 + 30 + 34

                                                      = 80 in

Lateral surface area = 80 × 22

                                  = 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                                           = \frac{1}{2}(30)(16)

                                                           = 240 in²

Total surface area = 1760 + 2(240)

                               = 1760 + 480

                               = 2240 in²

Volume = Area of the triangular base × Height

             = 240 × 20

             = 4800 in³

6 0
2 years ago
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