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SpyIntel [72]
3 years ago
5

What is the area of a circle whose radius is 4 ft?

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

16π ft²

Step-by-step explanation:

The formula is [ A = πr² ]

A = π(4)²

A = 16π

Best of Luck!

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Match the parametric equations with the verbal descriptions of the surfaces by putting the letter of the verbal description to t
alukav5142 [94]

Answer:

1. B

2. C

3. A

4. D

Step-by-step explanation:

The parametric equations of the circular cylinder are:

x(u,v)=a\cos v\\y(u,v)=a\sin v\\z(u,v)=u

If the orientation of the cylinder is changed to have the height u along the x-axis, the parametric equations of the cylinder match:

3. \mathbf{r} \left( u, v \right) = u \mathbf{i} + \cos v \mathbf{j} + \sin v \mathbf{k}

The parametric equations of the circular paraboloid are:

x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=u^2

Using the units vectors the parametric equations match:

1. \mathbf{r} \left( u, v \right) = u \cos v \mathbf{i} + u \sin v \mathbf{j} + u^{2} \mathbf{k}

The parametric equations of the cone are:

x(u,v)=au\cos v\\y(u,v)=au\sin v\\z(u,v)=u

Using the units vectors  and rotating the base of the cone from z=0 to x=0  the parametric equations match:

2. \mathbf{r} \left( u, v \right) = u \mathbf{i} + u \cos v \mathbf{j} + u \sin v \mathbf{k}

The equation left is the equation of a plane:

4. \mathbf{r} \left( u, v \right) = u \mathbf{i} + v \mathbf{j} + \left( 2u - 3v \right) \mathbf{k}

5 0
4 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
d1i1m1o1n [39]

Answer:

x=20

Step-by-step explanation:

We can use similar triangle to find x.  Put the smaller triangle over the larger triangle.

11             10

-------- = ----------

121+11       10 +5x+10

Combine like terms

11             10

-------- = ----------

132       20+5x

Using cross products

11 (20+5x) = 132*10

Distribute

220 +55x = 1320

Subtract 220 from each side

220-220 +55x = 1320-220

55x = 1100

Divide by 55

55x/55= 1100/55

x =20



6 0
3 years ago
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