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cupoosta [38]
3 years ago
8

Am Experience ice skater spins on the ice creating a perfect circle afterwords she calculates study must have the circumference

of 6.28 yards what is the circles diameter use 3.14
Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0

Answer: The diameter of circle is 2 yards.

Step-by-step explanation:

We know that , the circumference of a circle = \pi d ... (i), where d= diameter of circle.

Given : Circumference of circle = 6.28 yards

Put this in (i), we get

6.28=(3.14)d\ \ \ [\text{Use}\pi=3.14]\\\\\Rightarrow\ d=\dfrac{6.28}{3.14}\\\\\Rightarrow\ d=2\text{ yards}

Hence, the diameter of circle is 2 yards.

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Find the volume of a cone with a radius of 12 units and a height of 6<br> units.
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2 years ago
An equation parallel and perpendicular to 4x+5y=19
mestny [16]

Answer:

An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.

An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.

Step-by-step explanation:

The equation given represents a linear equation in Standard Form (Ax + By = C).  Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same.  However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other.  In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b).  When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5.  To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b').  To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.  

8 0
3 years ago
What is the quotient of the complex number 4-3i divided by its conjugate?
bazaltina [42]

9514 1404 393

Answer:

  0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}

_____

<em>Additional comment</em>

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

3 0
2 years ago
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