The volume of the cylinder above is 2.314.25 units, and the radius of the base is 8.9 units. Find the volume of the cone.

31. Students are going through a three-step process to obtain their ID cards. Each student will spend 2 minutes at the registrat

mars1129 [50]

Answer:

The answer is 72 minutes.

Step-by-step explanation:

The first step will be the registration desk, which last 2 minutes.

The second step is going to one of the three cashiers, this step takes 10 minutes.

The third step is to visit one of the four ID processing stations, to take their picture and to print the ID card. this step take 20 minutes.

Demand rate= 0.5 students per minute

This means 1 student every 2 minutes.

The total amount of time of the three-step process is 32 minutes.

During 40 minutes 20 students will start their process. These means that the student number 20 will start his/hers process at the minute number 40 of the whole process. As he/she is the last one, no one will finish their process before him/her.

The process takes 32 minutes.

We just need to add 40 minutes to the total amount of time of the three-step process takes, which is 32 minutes.

$time=40+32=72 minutes$

Therefore to process 20 students it will take 72 minutes.

7 0

4 years ago

(PLEASE HELP! NO SPAM!) On the following triangle, sin⁡〖θ=15/17〗. What is cosθ?

brilliants [131]

Answer:

Cos(θ) = 8 / 17

Step-by-step explanation:

<em>Cos = Adjacent / Hypotenuse</em>

Side that is adjacent to θ = 8

hypotenuse of the triangle = 17

Hope this helps!

6 0

3 years ago

Read 2 more answers

What are Factors of 98

Likurg_2 [28]

1,2,7,14,49,98, those are the factors of 98

4 0

4 years ago

Aiden calculated the area of triangle QRS below by finding half the product of 1.5 and 1.1.

MrRissso [65]

His error is the second choice.
Aiden should have calculated
area = (1.1 * 5.4) / 2
because triangle area = half the base times the altitude.

8 0

3 years ago

Read 2 more answers

A particle is moving with the given acceleration function and initial conditions. Find the velocity function and the position fu

Lerok [7]

Answer:

The velocity function is the particle is $v(t)=-2\cos (t)-4\sin (t)-1$ .

Step-by-step explanation:

The acceleration function of a moving particle is

$a(t)=2\sin (t)-4\cos (t)$

The initial conditions are v(0) = −3, s(0) = 5.

Integrate the acceleration function with respect to time to find the velocity function.

$\int a(t)=\int (2\sin (t)-4\cos (t))dt$

$v(t)=-2\cos (t)-4\sin (t)+C_1$

Use the initial condition v(0) = −3 to find the value of C₁.

$-3=-2\cos (0)-4\sin (0)+C_1$

$-3=-2(1)-4(0)+C_1$

$-3=-2+C_1$

$-3+2=C_1$

$-1=C_1$

So the velocity function is the particle is

$v(t)=-2\cos (t)-4\sin (t)-1$

Integrate the acceleration function with respect to time to find the position function.

$\int v(t)=\int (-2\cos (t)-4\sin (t)-1)dt$

$s(t)=-2\sin (t)+4\cos (t)-t+C_2$

Use the initial condition s(0) = 5 to find the value of C₂.

$5=-2\sin (0)+4\cos (0)-(0)+C_2$

$5=-2(0)+4(1)+C_2$

$5=4+C_2$

$1=C_2$

So, the position function is the particle is $s(t)=-2\sin (t)+4\cos (t)-t+1$ .

5 0

3 years ago