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4 years ago

A cone shaped hat is shown:

Mathematics

2 answers:

alekssr [168]4 years ago

3 0

Answer: C: 12.55 centimeters, because height = Square root of the difference of squares of 14 and 6.2

Step-by-step explanation:

Here the radius of the hat = 6.2 cm

And, the slant height of the hat = 14 cm

Since, By the Pythagoras theorem,

$(\text{Height})^2 = (\text{ Slant height})^2 -(\text{Radius})^2$

⇒ $(\text{Height})^2 = (14)^2 -(6.2)^2$

⇒ $(\text{Height})^2 = 196 - 38.44 = 157.56$

⇒ $\text{Height} = \sqrt{157.56}=12.5522906276\approx 12.55\text{ cm}$

Hence, Option C is correct.

trapecia [35]4 years ago

3 0

Answer:

C- 12.55 cm

Step-by-step explanation:

I got it correct on my test :)

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A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (

STALIN [3.7K]

Answer:

21.75 cm/s

Step-by-step explanation:

1 cm above central position means D = 1, so we plug in 1 into D(t) and find the time and which this occurs.

$D(t)=2Sin (4\pi(t+18))\\1=2Sin (4\pi(t+18))\\\frac{1}{2}=Sin(4\pi t +72\pi)\\4\pi t + 72 \pi = \frac{\pi}{6}\\4\pi t = \frac{\pi}{6}-72\pi\\t=\frac{\frac{\pi}{6}-72\pi}{4\pi}$

This is the time at which this occurs.

To find instantaneous rate of change, we differentiate D(t) and plug in this t we found. Remembering that d/dt (Sin t) = Cos t

$D(t)=2Sin (4\pi(t+18))\\D(t)=2Sin(4\pi t + 72\pi)\\D'(t)=2Cos(4\pi t + 72\pi)(4\pi)$

Now putting t:

$D'(t)=2Cos(4\pi t + 72\pi)(4\pi)\\D'(\frac{\frac{\pi}{6}-72\pi}{4\pi})=2Cos(4\pi (\frac{\frac{\pi}{6}-72\pi}{4\pi}) + 72\pi)(4\pi)\\=8\pi Cos(\frac{\pi}{6})\\=21.75$

Thus, the instantaneous rate would be around 21.75 cm/s

8 0

3 years ago

Can someone help me on both of the questions?!

agasfer [191]

(1) The correct answer is: Pressure = P = 70 N/m²

Explanation:
Pressure is force per unit area. Mathematically, we can write Pressure as follows:

 $P = \frac{F}{A}$ --- (1)

Where P = Pressure = ?
F = Force = 140N
A = Area = 2.0m²

Plug in the values in (1):
P = 140/2.0
P = 70 N/m²

(2) The air particles in the inflated balloon are in chaotic motion. They are moving randomly and colliding with each other and with the inner wall of the balloon, exerting pressure on the wall of the balloon. Furthermore, they are far apart from each other, which is why when you squeeze the balloon, its shape changes accordingly as long as you are putting pressure on it while squeezing.

7 0

3 years ago

Read 2 more answers

If the Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is

soldi70 [24.7K]

1) First, you need to calculate the total labor cost: 2 workers * $8/(hour) * 40 hour / worker = $640. 2) Second, now you can calculate how much percent is 640 of the revenue, 2000: [640 / 2000] * 100 = 32%. 3) And the answer is that the labor cost is 32% of the revenue.

3 0

4 years ago

(50pts) The distance covered and the time taken by a car are plotted in a graph.

IgorLugansk [536]

Answer:

a=2

b=40m

c=2m/s

Step-by-step explanation:

slope is rise over run so 10/5 simplified is 2/1 or 2

for b just look at the graph at the 20th second

for c you do distance over time so basically the same thing as a 10/5 which is 2m/s

5 0

3 years ago

How many words can be formed by using the W,X,Y,Z if repetitions is not allowed?

Setler [38]

Answer:

Step-by-step explanation:

What you have here is a permutation, seeing as each element can only be used once.

We have 4 letters initially, so we can choose any 1 as our first letter. We have 4 choices for our first letter

However, once we choose our first letter, we can't use it anymore, so, for our second letter, we can only choose from the remaining 3 letters.

Furthermore, once we choose our second letter, we can only choose our 3rd letter from the remaining two letters we didn't choose yet.

Finally, our last letter will always be the one we didn't choose the last 3 times. So there is only one choice here.

Going off of this, we have four choices for the 1st letter, three choices for the 2nd letter, two choices for the 3rd letter, and one choice for the 4th letter

The way to calculate how many permutations we have without repetition is using factorials

Where N is the number of elements you have.

In this case, it would be 4!

4! is 4 * 3 * 2 * 1

Which equals 24

If you notice, each number in 4! is the number of options we have for each choice. 4, then 3, and so on

5 0

3 years ago