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2 years ago

Briefly describe the five simple machine types listed 1.Pulley 2. Wheel and axle 3. Screw 4. wedge 5. Incline

Mathematics

1 answer:

Oxana [17]2 years ago

3 0

Answer:

wheel

Step-by-step explanation:

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3 years ago

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melamori03 [73]

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3 years ago

Please help ASAP If f(x) = x^2-6x+2 and g(x) =sqrt x find a.) (fog) (x) b.) (gof) (-2)

Rudik [331]

$\large\begin{array}{l} \left\{\!\begin{array}{l} \mathsf{f(x)=x^2-6x+2}\\ \mathsf{g(x)=\sqrt{x}}\\ \end{array}\right. \end{array}$

$\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}$

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$\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}$

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Tags: composite function composition evaluate algebra

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3 years ago

If the angles are represented in degrees, find both angles: sin(x+7)=cos(4x+8)

garri49 [273]

Answer:

$m\angle 1 = 22\degree$

$m\angle 2 = 68\degree$

Step-by-step explanation:

$\sin(x + 7) = \cos(4x + 8) \\ \sin(x + 7) = \sin \{90 - (4x + 8) \} \\ \{ \because \cos \theta = \sin(90 \degree - \theta) \}\\ \therefore \: (x + 7) = 90 - (4x + 8) \\ x + 7 + 4x + 8 = 90 \\ 5x = 90 - 15 \\ 5x = 75 \\ x = \frac{75}{5} \\ x = 15$

(x + 7)° = (15 + 7)° = 22°

(4x + 8)° = (4*15 + 8)° = (60 + 8)° = 68°

$m\angle 1 = 22\degree$

$m\angle 2 = 68\degree$

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3 years ago

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TiliK225 [7]

Should be the second one.

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3 years ago

Briefly describe the five simple machine types listed 1.Pulley 2. Wheel and axle 3. Screw 4. wedge 5. Incline​

Briefly describe the five simple machine types listed 1.Pulley 2. Wheel and axle 3. Screw 4. wedge 5. Incline