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3 years ago

Write the ordered pair for the point S.

Mathematics

1 answer:

beks73 [17]3 years ago

8 0

Given:

The location of point S on a coordinate plane.

To find:

The ordered pair for the point S.

Solution:

A point is defined as (x,y), where, |x| is the distance between the point and y-axis, and |y| be the distance between the point and x-axis. Signs of coordinates depend on the quadrant.

From the given graph it is clear that,

Distance between S and y-axis = 3.5

Distance between S and x-axis = 5.5

Point S lies in 3rd quadrant, it means x- and y-coordinates are negative.

Therefore, the ordered pair of point S is (-3.5,-5.5).

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Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t

Roman55 [17]

The total area of the figure is 139.20 square centimeters

Areas

The area of a shape is the amount of space it occupies

<h3>Composite figure</h3>

The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure

The shape has 6 equilateral triangles, each of which has an area of:

$A_1 = \sqrt{\frac{3s^2}{4}}$

Where:

$s = 6$ --- the length of each toothpick

The area of the rectangle is then represented as:

$A_2 =3s \times s$

$A_2 =3s^2$

So, the total area of the figure is:

$Total = 6A_1 + A_2$

This gives

$Total =6 \times \sqrt{\frac{3s^2}{4}} + 3s^2$

Substitute 6 for s

$Total =6 \times \sqrt{\frac{3(6)^2}{4}} + 3(6)^2$

$Total =6 \times \sqrt{27} + 108$

$Total =6 \times 5.20+ 108$

$Total =139.20$

Hence, the total area of the figure is 139.20 square centimeters

Read more about areas at:

brainly.com/question/21135654

7 0

2 years ago

Help please am struggling

lesantik [10]

Answer:

93°

Step-by-step explanation:

It's given that angle AOC is 87°. BC is a straight line so, angle E=180°-87°=93°

5 0

4 years ago

Read 2 more answers

a new car is purchased for $17,900 the value of the car depreciates at 13% per year what will the value of the car be to the nea

liberstina [14]

Answer:

The value of the car would be 6753

Explanation

<u>Year | Value < | Deprec. | Balance</u>

Year 1 17900 2327 15573

Year 2 15573 2024 13549

Year 3 13549 1761 11787

Year 4 11787 1532 10255

Year 5 10255 1333 8922

Year 6 8922 1160 7762

Year 7 7762 1009 6753

https://goodcalculators.com/percentage-depreciation-calculator/ - Where I got your answer if you have more problems like this!

3 0

4 years ago

How do I solve 15=3p/6 ?

valina [46]

Given : 15 = 3p/6

=> 15 x 6 = 3p

=> 90 = 3p

=> p =90/3

=> p = 30

Hope this helps you :)

7 0

3 years ago

Read 2 more answers

QUICK!!!HELP!!!!!!!!!!!!!!!!!!

IgorLugansk [536]

Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:

Z = (X - mu)/sigma

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

mu = 400, sigma = 50

The probability is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 500</u>, hence:

X = 550:

Z = (X - mu)/sigma

Z = (550 - 400)/50

Z = 3

Z = 3 has a p-value of 0.9987.

X = 500:

Z = (X - mu)/sigma

Z = (500 - 400)/50

Z = 2

Z = 2 has a p-value of 0.9772.

0.9987 - 0.9772 = 0.0215 = 2.15% probability.

More can be learned about the normal distribution at brainly.com/question/15181104

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6 0

2 years ago