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Sophie [7]
3 years ago
6

"The difference between the circumference and diameter of a wheel is 18cm. Find the radius of the wheel. Use 3.14 for Pi. Round

to the nearest tenth."
Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

4.2\ \text{cm}

Step-by-step explanation:

d = Diameter of wheel

The difference between the circumference and diameter of a wheel is 18 cm.

2\pi r-d=18\\\Rightarrow \pi d-d=18\\\Rightarrow d(\pi-1)=18\\\Rightarrow d=\dfrac{18}{\pi -1}\\\Rightarrow d=\dfrac{18}{3.14-1}\\\Rightarrow d=8.41\ \text{cm}

The diameter of the wheel is 8.41 cm so the radius will be \dfrac{8.41}{2}=4.205\approx 4.2\ \text{cm}.

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mamaluj [8]

Answer:

(0, - 4 )

Step-by-step explanation:

under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ), hence

C(2, 4) → (- 2, - 4)

A translation of 2 units to the right means add 2 to the original x- coordinate while the y-coordinate remains unchanged.

(- 2, - 4 ) → (- 2 + 2, - 4 ) → (0, - 4 )


3 0
3 years ago
Find m abc (6x-7) (4x+23)
Salsk061 [2.6K]

Answer:

m∠ABC = 83°

Step-by-step explanation:

The angle ∠abc and ∠dbe are opposed by the vertex. By definition  "<em>Two angles opposite the vertex are congruent or equal</em>"

So ∠abc = ∠dbe

Then, to solve this problem you must match both expressions and clear the variable x.

(6x-7) = (4x + 23)\\6x - 7 -4x = 23\\2x = 30\\x = 15

Now substitute x = 15 in the given expression for the angle ∠abc. (6x-7)

So, we have:

6(15) -7\\= 90 - 7\\= 83\°°

Finally, the angle is 83°

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What is the value of x in the equation 2(x-3)+9=3(x+1)+x?
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4 0
3 years ago
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Answer:

D

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3 years ago
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