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REY [17]
3 years ago
10

Please help and thank you

Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:b

Step-by-step explanation:

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What is the cot⁡θ in the right triangle shown?
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A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle travel in 4 revolutions? Use π = 3.14 and round
Natali [406]

Answer:

226.19 inches in 6 revolutions.  

Step-by-step explanation:

Diameter of the unicycle's wheel=12 inches  

The distance traveled by the unicycle in one revolution is the circumference of the wheel.  

For a circle of diameter d,  

Circumference  

Therefore, Circumference of the Unicycle's wheel  inches  

Since the distance traveled in one revolution= inches  

Distance traveled in 6 revolutions=6 X  inches  

=226.19 inches (to the nearest hundredth of an inch.)

A unicycle wheel is a one wheeled device, unlike the bicycle which has two wheels.  

The given unicycle has a diameter, D, of 12 inches. It's radius, r, can be determined by;

 r =  

         =  

          = 6  

∴        r = 6 inches.

A revolution is a complete movement of a point forming a circle, or the movement of a point along the circumference of a circle.  

Circumference of a circle = 2r  

Thus,  

the circumference of the wheel = 2 ×  × 6  

                                                   = 37.7143  

The circumference of the wheel is 37.7143 inches.  

Therefore, for 6 evolutions the unicycle would travel:

        6 × 37.7143  

            = 226.2857

The unicycle would travel 226.29 inches in 6 revolutions

8 0
3 years ago
Solve for x if the equation is.x^2/x+4 = 16/x+4
Allushta [10]

To solve the equation:

\frac{x^2}{x+4}=\frac{16}{x+4}

we multiply both sides by (x+4), then we get:

\frac{x^2}{x+4}\cdot(x+4)=\frac{16}{x+4}\cdot(x+4)

then we get:

\begin{gathered} x^2=16 \\ x=\pm\sqrt[]{16} \\ x=\pm4 \end{gathered}

Now, from this we may conclude that the equation has two solutions, x=4 and x=-4. But we need to be careful with this, from the orginal expression we notice that the denominator in both sides is (x+4), then if we plug x=-4, the result in both denominators will be zero but we know that the division by zero is not defined.

Taking the above into account we conclude that the solution for the equation is x=4.

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1 year ago
4 and two fifths times b equals 1 and five sixs​
Arada [10]

Answer:

5/12

Step-by-step explanation:

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3 years ago
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