Find the average rate of change in the price of gasoline from 2006 to 2008

12345 [234]

She is so right Because said it bro

6 0

2 years ago

Tony allows his customers to create their own pizza. The customers choose exactly one type of crust, sauce, cheese, and meat for

Natalka [10]

In cases like these, you simply have to multiply the choices you have for each step.

In fact, you can choose between 4 different crusts. For each of these crusts you can choose 4 different sauces. This means that there are $4\cdot 4 = 16$ choices at this point. In fact, if we call the crust options 1,2,3,4 and the sauce options A,B,C,D, the 16 possible combinations are

$1A,\ 1B,\ 1C,\ 1D,\ 2A,\ 2B,\ 2C,\ 2D,\ 3A,\ 3B,\ 3C,\ 3D,\ 4A,\ 4B,\ 4C,\ 4D$

From here, you keep going multiplying the number of options for each step, for a total of

$4\cdot 4 \cdot 3 \cdot 4 = 192$

4 0

3 years ago

Read 2 more answers

Help pls I really need it pls

Marianna [84]

The value of x is 7 because 8/24 = 1/3 so find 1/3 of 21

4 0

3 years ago

Pls solve part b) iii thanks

Viktor [21]

The bearing of the tree from Q is 296.565°

<h3>How to determine the height of the tree?</h3>

The figure that illustrates the bearing and the distance is added as an attachment

The given parameters are:

Base of the tree, b = 50 meters

Angle (x) = 32 degrees

Calculate the height (h) of the tree using:

tan(x) = height/base

So, we have:

tan(32°) = h/50

Make h the subject

h= 50 × tan(32°)

Evaluate

h = 31.24

Hence, the height of the tree is 31.24 meters

<h3>How to determine the distance between Q and the base of the tree?</h3>

The distance (d) between Q and the base of the tree

This is calculated using the following Pythagoras theorem

d = √(100² + 50²)

Evaluate

d = 111.80

Hence, the distance between Q and the base of the tree is 111.80 meters

<h3>How to determine the angle of elevation?</h3>

The angle of elevation (x) using the following tangent trigonometric ratio

tan(x) = h/d

This gives

tan(x) = 31.24/111.80

Evaluate the quotient

tan(x) = 0.2794

Take the arc tan of both sides

x = 15.61

<h3>The bearing of the tree from Q </h3>

This is calculated using:

Angle of bearing = 270 + arctan(50/100)

Evaluate the arc tan

Angle of bearing = 270 + 26.565

Evaluate the sum

Angle of bearing = 296.565

Hence, the bearing of the tree from Q is 296.565 degrees