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3 years ago

14

A pattern maker uses 526 yards of muslin cloth each month. The cloth comes on bolts, or rolls, that hold 15 yards each. How many

bolts of muslin cloth does the pattern maker use each month?
A) 35
B) 35 1/15
C) 35 1/5
D) 35 1/3

1 answer:

Vinil7 [7]3 years ago

6 0

B bc they use 35 1/15

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Find the surface area of a cylinder. Solve this formula for h. Then find the height of the cylinder if the surface are is 251.2

mezya [45]

Answer:

The formula for 'h' is $\frac{S.A.}{2\pi r}-r$ .

The height of the cylinder is 3 in.

Step-by-step explanation:

Given,

Surface Area of Cylinder = 251.2 sq. in.

Radius = 5 in

We have to find out the height of the cylinder.

Solution,

We know that the Surface area of cylinder is given as;

$Surface\ Area = 2\pi r(h+r)$

Here 'r' is the radius and 'h' is the height.

We have to solve this for 'h'.

$\frac{S.A.}{2\pi r}=h+r\\\\h=\frac{S.A.}{2\pi r}-r$

Hence The formula for 'h' is $\frac{S.A.}{2\pi r}-r$ .

Now we solve for 'h'.

Since $h=\frac{S.A.}{2\pi r}-r$

On putting the given values, we get;

$h=\frac{251.2}{2\times3.14\times5}-5=8-5=3\ in$

Hence The height of the cylinder is 3 in.

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3 years ago

Can you ever have a function and a relation at the same time? Why or why not?

s2008m [1.1K]

Answer: If you think of the relationship between two quantities, you can think of this relationship in terms of an input/output machine. If there is only one output for every input, you have a function. If not, you have a relation. You can conclude that this set of ordered pairs does not represent a function

Step-by-step explanation:

Hope this helps :) good luck!!

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3 years ago

Point A, located at (-11,17) on the coordinate plane, is reflected over the x-axis to form point B. Then point B is reflected ov

zalisa [80]

Answer:

B = (-11, -17)

C = (11, -17)

Step-by-step explanation:

Reflection over the x-axis is accomplished by changing the sign of the y-coordinate:

(x, y) ⇒ (x, -y) . . . . . reflection over x-axis

Reflection over the y-axis is accomplished by changing the sign of the x-coordinate:

(x, y) ⇒ (-x, y) . . . . . reflection over the y-axis

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B = (-11, -17)

C = (11, -17)

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<em>Check</em>

Reflection over both axes negates both coordinates. It is equivalent to reflection over the origin, or rotation 180°.

A(-11, 17) ⇒ C(11, -17) . . . . . both coordinates change sign

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3 years ago

Use a surface integral to ﬁnd the surface area of the portion of the sphere xUse a surface integral to ﬁnd the surface area of t

brilliants [131]

Parameterize this surface (call it $S$ ) by

$\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos v\,\vec k$

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$\begin{cases}x^2+y^2+z^2=1\\z=\sqrt{x^2+y^2}\end{cases}\implies x^2+y^2=\dfrac12$

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$\implies\sin v=\dfrac1{\sqrt2}\implies v=\dfrac\pi4$

Take the normal vector to $S$ to be

$\vec r_u\times\vec r_v=-\cos u\sin^2v\,\vec\imath-\sin u\sin^2v\,\vec\jmath-\cos v\sin v\,\vec k$

(orientation does not matter here)

Then the area of $S$ is

$\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{\pi/4}\int_0^{2\pi}\sin v\,\mathrm du\,\mathrm dv$

$=\displaystyle2\pi\int_0^{\pi/4}\sin v\,\mathrm dv=\boxed{(2-\sqrt2)\pi}$

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The library in Richmond collected $4,170 in overdue fees last year. This year, the library collected $6,672. What is the percent

melamori03 [73]

Answer:

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Step-by-step explanation:

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