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3 years ago

11

Mr Smith is making a 4 question quiz. looking at a bank of quiz questions there are 17 choices for question one, 16 choices for

question two, 8 choices for question three, and 2 choices for question four. how many different quizzes can he prepare

1 answer:

Harrizon [31]3 years ago

8 0

Answer:

4,352

Step-by-step explanation:

17 × 16 × 8 × 2

4352

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This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is

BaLLatris [955]

Answer:

$\frac{r}{3\pi h+r}$

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

$A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}$

Now, area of 2 cylinders would be the formula:

$A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h$

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm divided by A_total.

Shown below:

$\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}$

We simplify further:

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

THis is the answer.

6 0

3 years ago

Read 2 more answers

Felix and Oscar own a pastry shop. Working alone Felix can decorate 8 dozen cookies in 90 minutes. Oscar, on

Bingel [31]

<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.

<u>Let's calculate theor individual work rate</u> :

Rate = 1/ time

Felix's rate = 1/90

Oscar's rate = 1/120

Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360

<u>Time taken for both of the to decorate 8 dozens</u> :

Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes

<u>Hence, the time taken to decorate 16 dozens will be</u> :

(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).

Learn more :brainly.com/question/18796573

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2 years ago

Analyze the diagram below and complete the instructions that follow name to read lines in the diagram and appear to be SKEw

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Answer:

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3 years ago

The heights of the peach trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.8 f

Zina [86]

Answer:

i think 1.8 not sure tho

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3 years ago

The distance between two cities on a map is 3.5 centimeters the map uses a scale in which 1 centimeter represents 20 km what is

Juli2301 [7.4K]

Answer:

1 cm = 20 km

so 3.5 cm would equal : 3.5 * 20 = 70 km

hope it helps ;)

Step-by-step explanation:

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3 years ago