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3 years ago

How to find the surface area of a triangular prism ? Grade 6 style and easiest way possible

Mathematics

1 answer:

matrenka [14]3 years ago

3 0

Alright so
Surface area = (width x height) + (length x width) + (length x height) + (length x side)

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The dia

Alla [95]

Answer:

$0.2122\text{ ft per min}$

Step-by-step explanation:

Let r be the radius ( in feet ) of the cone,

So, the diameter of the cone = 2 × radius = 2r feet,

∵ The diameter of the base of the cone is three times the height,

If h represents the height of the cone,

⇒ 2r = 3 × h,

⇒ $r=\frac{3h}{2}$ feet,

∵ Volume of a cone,

$V=\frac{1}{3}\pi R^2 H$

Where,

R = radius, H = height,

Thus, the volume of the given cone is,

$V=\frac{1}{3}\pi r^2 h$

$=\frac{1}{3}\pi (\frac{3h}{2})^2 h$

$=\frac{3}{4}\pi h^3$

Differentiating with respect to t ( time )

$\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}$

We have,

$\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}$

$6=\frac{9}{4}\pi (2)^2 \frac{dh}{dt}$

$6=9\pi \frac{dh}{dt}$

$\implies \frac{dh}{dt}=\frac{6}{9\pi }\approx 0.2122\text{ ft per min}$

4 0

4 years ago

Choose the option that best describes what it means to be 60% done with a project.

Anit [1.1K]

B. There are 10Things to do to finish the project.and you have done 6 of them

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3 years ago

Help please with this equation. Thank You!

Nadya [2.5K]

Answer:

-16t^2 = -4624

t^2 = 289

t = 17 seconds

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3 years ago

A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pe

pogonyaev

A 5% discount indicates that her total purchase amount will be decreased by 5%. Paying full price could be shown as 1.00, so we must subtract 0.05 from the full price to represent the discounted total (1.00-0.05 = 0.95).
Only one choice, D, contains this multiplier so we can be certain of this answer.

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3 years ago

The sales tax for a certain state can be found by multiplying the purchase price by 1/20 . What is the sales tax on an item that

Nuetrik [128]

The answer is $1.28 sale tax
Step-by-step explanation:
Multiply the cost of the item times 0.05 to get the amount of the sales tax:
25.60 * 0.05 = $1.28 sales tax

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3 years ago

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