Operations with complex numbers <br>I+6i

Kingda ka in new jersey is the tallest and fastest roller coaster in the world. riders travel at an average speed of 61 feet per

trapecia [35]

Answer:

(a) 3118=61*t

(b) The amount of time the roller coaster is in motion is 51.11 seconds.

Step-by-step explanation:

Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:

$speed=\frac{distance}{time}$

Then the distance traveled can be expressed as:

distance=speed*time

(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:

(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:

$\frac{3118}{61} =\frac{61*x}{61}$

51.11 seconds=x

<u><em> The amount of time the roller coaster is in motion is 51.11 seconds.</em></u>

5 0

2 years ago

Plot the following wing points on a number line 2/3, 1/6 & 4/10

V125BC [204]

1/6 then 4/10 then 2/3

5 0

3 years ago

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

7 0

2 years ago

Drag the tiles to the boxes to form correct pairs.

SOVA2 [1]

Answer:

Step-by-step explanation:

Hello

Match the points on the number line with the rational numbers.

a __ -6/8 = -(2 x 3)/(2 x 4) = -3/4

b __ -2/8 = -2/(2 x 4) = -1/4

c __ -4/8 = -4/(4 x 2) = -1/2

d __ 8/8 = 1

e __ 13/8

3 0

3 years ago

Tanzila is selling tickets to the MS127 musical. On the first day of ticket sales she sold 2 adults tickets and 10 child tickets

vekshin1

Answer:

One adult ticket is $4 and one child ticket is $7

Step-by-step explanation:

Make a system of equations

2x + 10y = 78

8x + 5y = 67

Solve by elimination, multiply the 2nd equation by -2

2x +10y = 78

-16x -10y = -134

Add the equations

-14x = -56

x = 4

The price of one adult ticket is $4

Plug 4 in as x to find y

2(4) + 10y = 78

8 + 10y = 78

10y = 70

y = 7

The price of one child ticket is $7

4 0

2 years ago

Operations with complex numbers I+6i