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seraphim [82]
2 years ago
11

Henry constructed circle A with a radius of 6 units. He then created a sector

Mathematics
1 answer:
Anni [7]2 years ago
3 0
B. 90/360, because this is 1/4 from circle. It's even shown in the picture.
Example: If you take a protractor at 180°, then if you mirror it, then 360° will comeout, i.e. a circle.

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The position vector for a particle moving on a helix is
topjm [15]

Answer:

a) 25.15

b)

   x = 1

   y = t

   z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c) (x,y) = (1, -2pi)

Step-by-step explanation:

a)

First lets calculate the velocity, that is, the derivative of c(t) with respect to t:

v(t) = (-sin(t), cos(t), 2t)

The velocity at t0=4pi is:

v(4pi) = (0, 1, 8pi)

And the speed will be:

s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15

b)

The tangent line to c(t) at t0 = 4pi has the parametric form:

(x,y,z) = c(4pi) + t*v(4pi)

Since

 c(4pi) = (1, 0, (4pi)^2)

The tangent curve has the following components:

x = 1

y = t

z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c)

The intersection with the xy plane will occurr when z = 0

This happens at:

  t1 = -2pi

Therefore, the intersection will occur at:

(x,y) = (1, -2pi)

6 0
3 years ago
a dining room table and chairs are priced at $869. Mrs. Brown has a coupon for $75 off the original price. If the tax on the sal
Arada [10]
869 * .08 = 69.52
69.52 + 869 = 938.52
938.52- 75 =  863.52

7 0
3 years ago
Read 2 more answers
A package weighs 80 ounces. What is the weight of the package in pounds?
Degger [83]

Answer:

5

Step-by-step explanation:

1 ounce = 0.0625

0.0625 x 80 = 5

3 0
2 years ago
Distance between (-6, -2) and (0,-1)
s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36        (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1           (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1              

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0
3 years ago
Plot and label all the points that are 4 units from point P AND that share the same x coordinate as point P. Write the coordinat
Lilit [14]
The answers should be: (-2,5), (-2,-2), (-6,-1), (2,1)





Hope this helped :)
7 0
2 years ago
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