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3 years ago

Describe how to create a solid model of a simple coffee mug using sweep and other constructive solid geometry operations

Mathematics

1 answer:

anzhelika [568]3 years ago

5 0

Answer:

Step-by-step explanation:

We are going the use the revolve constructive geometry operation

Step one:

Knowing fully well that the simple mug has a cylindrical shape, and all preliminary settings are in place, like the units may be in inches or mm.

We first need to draft out the section of the mug, this will look like an "L" shape with thickness set to whatever dimension you may have in mind.

The next in line is to create an axis using a construction line parallel to the L shape.

Then use the revolve tool to create the cylindrical shape by selecting the axis as the reference of rotation and the angle of rotation set to 360 degrees.

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If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)

agasfer [191]

Answer:

g(x) = x + 3

Step-by-step explanation:

<h3>Given</h3>

h(x) = (f ο g)(x)
h(x) = $\sqrt{x+5}$
f(x) = $\sqrt{x+2}$

g(x)

<h3>Solution</h3>

(f ο g)(x) = f(g(x))

<u>Substitute x with g(x) and solve for g(x):</u>

$\sqrt{x+5}$ = $\sqrt{g(x)+2}$
x + 5 = g(x) + 2
x + 3 = g(x)
g(x) = x + 3

7 0

3 years ago

Once a week you babysit your neighbor’s toddler after school, usually going to a local playground. You notice that each swing on

Ira Lisetskai [31]

Answer:

3.9 units

Step-by-step explanation:

We are given that,

Time taken by each swing = 2.2 seconds

The pendulum formula is given by, $T = 2\pi \sqrt{\frac{L}{32}}$ , where T is the time taken and L is the length of the swing.

So, we have,

$2.2= 2\pi \sqrt{\frac{L}{32}}$

i.e. $\frac{2.2}{2\pi}=\sqrt{\frac{L}{32}}$

i.e. $(\frac{2.2}{2\pi})^{2}=\frac{L}{32}$

i.e. $L=32\times (\frac{2.2}{2\pi})^{2}$

i.e. $L=32\times \frac{4.84}{4 \pi^2}$

i.e. $L=32\times \frac{1.21}{\pi^2}$

i.e. $L=\frac{38.72}{9.87}$

i.e. L = 3.923 units

So, rounded to tenths, the length of the swing is 3.9 units.

8 0

2 years ago

Approximently how many centiliters are in 3 quarts? Round your answer to the nearest unit.

Alex787 [66]

There should be 283.9. (rounded to the nearest unit). :) <span />

6 0

2 years ago

Read 2 more answers

The dimensions of a rectangular prism are shown below:

GuDViN [60]

Answer:

...........

Step-by-step explanation:

...........

5 0

2 years ago

Read 2 more answers

Factor 200t+83 - 80t2.<br> A. 8t(t - 5)(t + 5)<br> B. 8t(t - 5)2<br> C. -8t(t - 5)(t + 5)

Mashutka [201]

Step-by-step explanation:

8t³-80t²+200t

= 8(t³-10t+25)

= 8t(t²-10t+25)

= 8t(t-5)(t-5)

= 8t(t-5)²

the answer is B.

3 0

3 years ago