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drek231 [11]
3 years ago
7

How to simplify the answer and how to get the answer

Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0
Start by simplifying each expressions by factoring
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What are two angles within 0°-360° that has a cosine of negative root three over 2? Show work please
alekssr [168]

Answer:

150° and 210°

Step-by-step explanation:

1) according to the condition the required cosine is <0, it means the required angles are in the II-d and III-d quaters (see the attached picture no. 1);

2) it is known, that arccos(√3/2)=30°- the angle is between 0° and 90°, - but the requred angles are between 90° and 270° (see the picture no. 2), then

3) (angle)₁=180°-arccos(√3/2) and (angle)₂=180°+arccos(√3/2), then finally

(angle)₁=180°-30°=150°; (angle)₂=180°+30°=210°.

PS. note, the suggested way is not the only one.

6 0
2 years ago
If you are given the following stem and leaf display and asked to construct a frequency distribution chart, what would be the wi
Nuetrik [128]

Answer:

Width of intervals: 8

Step-by-step explanation:

We first look at how data is represented in a stem-leaf diagram.

Any number of the left (before -) is the stem and all numbers on right (after -) are the leaves. Each combination of stem and leaf represents one number. For example: 1 - 332 represents: 13, 13, 12.

Our data is as follows:

13, 13, 12, 24, 25, 31, 31, 35, 37, 42, 43, 41, 52, 51, 51, 52

To calculate the width of the frequency distribution chart, we have the following formula:

Class\ width = \frac{Range}{Number\ of\ classes}

The range of any data set = Maximum value in the data set - Minimum value in the data set

Maximum value in this case as seen from the data is 52 and minimum is 12.

Range = 52 - 12 = 40

Since we had only 5 stems in the data, we shall use that as the number of classes required in the frequency distribution chart.

Class\ width = \frac{40}{5}  = 8

Hence, the class width in this data set will be 8.

To make the intervals, we begin from the minimum value and add 8 to it. The intervals will be:

12 - 20

20 - 28

28 - 36

36 - 44

44 - 52

Observe, that all the values of the stem lie within each interval.

For example, there are 3 values for stem 1: 12, 13, 13 and each lie in the first interval 12 - 20.

Next, the values of stem 2 are 24 and 25. Each of these value lie in the second interval 20 - 28; and henceforth.

8 0
3 years ago
Q8 Q21.) Find the amount invested at each rate.
Pavlova-9 [17]
See the attached picture:

6% = 1200
9% = 2400
12% = 3800

5 0
3 years ago
Read 2 more answers
if 3 half-gallon containers of ice cream on sale for $6.69,what is the price for 2 half-gallon containers?​
kvv77 [185]
<h3>Answer:  $4.46</h3>

===================================================

Work Shown:

3 containers = 6.69 dollars

3/3 containers = 6.69/3 dollars .... divide both sides by 3

1 container = 2.23 dollars

2*(1 container) = 2*(2.23 dollars) ... multiply both sides by 2

2 containers = 4.46 dollars

A shortcut is to start with "3 containers = 6.69 dollars" and multiply both sides by 2/3

Each mention of "container" refers to a half-gallon container.

6 0
3 years ago
The cost, c(x), for a taxi ride
viva [34]

Answer:

The answer is A.

Go to desmos and type your equation in

3 0
3 years ago
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