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3 years ago

Find the area of this triangle..

Mathematics

1 answer:

Phoenix [80]3 years ago

3 0

Answer:

Step-by-step explanation:

Use the Pythagorean theorem to find the altitude.

h^2 = 9^2 - 6.4^2

h^2 = 40.04

h = 6.328

area = base * height/2

area = (2 * 6.4) * 6.328/2

area = 40.5 square units

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The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random

Pavlova-9 [17]

Answer:

$m=\frac{27.75}{375}=0.074$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{150}{12}=12.5$

$\bar y= \frac{\sum y_i}{n}=\frac{28.5}{12}=2.375$

And we can find the intercept using this:

$b=\bar y -m \bar x=2.375-(0.074*12.5)=1.45$

So the line would be given by:

$y=0.074 x +1.45$

C. = 1.45 + 0.074x

Step-by-step explanation:

The data given is:

x: 5,5,510,10,10, 15,15,15, 20,20,20

y: 1.6,2.2,1.4, 1.9, 2.4,2.6, 2.3,2.7, 2.8,2.6, 2.9, 3.1

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 150$

$\sum_{i=1}^n y_i =28.5$

$\sum_{i=1}^n x^2_i =2250$

$\sum_{i=1}^n y^2_i =70.69$

$\sum_{i=1}^n x_i y_i =384$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2250-\frac{150^2}{12}=375$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=384-\frac{150*28.5}{12}=27.75$

And the slope would be:

$m=\frac{27.75}{375}=0.074$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{150}{12}=12.5$

$\bar y= \frac{\sum y_i}{n}=\frac{28.5}{12}=2.375$

And we can find the intercept using this:

$b=\bar y -m \bar x=2.375-(0.074*12.5)=1.45$

So the line would be given by:

$y=0.074 x +1.45$

C. = 1.45 + 0.074x

8 0

3 years ago

Sally earns graduated commission on her sales each month. She earns 6% commission on the first $45,000 in sales and 8% on anythi

Allisa [31]

The answer is B, because 0.06*45000 + 0.08(51000-45000) = 3,180

4 0

3 years ago

A washer and dryer cost a total of $1014. The cost of the washer is two times the cost of the dryer. Find the cost of each item.

timurjin [86]

Answer:

Washer is $676

Dryer is $338

Step-by-step explanation:

1014 divide by 3 gives you 338.

338 x 2 = $676

676 is twice 338.

676 + 338 = 1014

8 0

2 years ago

On Martin's first stroke, his golf ball traveled 4 5 5 4 start fraction, 4, divided by, 5, end fraction of the distance to the

faltersainse [42]

Answer:

0.395 kilometers

Step-by-step explanation:

Please consider the complete question.

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball went into the hole. Martin was standing 79 meters from the hole as he took his second stroke. How many kilometers from the hole was Martin when he started?

Let x represent the distance between hole and start point.

In 1st stroke ball traveled 4/5 of the distance, so 1/5 of the distance was remaining from 2nd stroke to hole. This means the 1/5 of whole distance between start point and hole is equal to 79 meters.

We can represent this information in an equation as:

$\frac{1}{5}x=79$

$\frac{1}{5}x\cdot 5=79\cdot 5$

$x=395$

Since our distance is in meters, so we will convert 395 meters into kilometers by dividing by 1000.

$395\text{ meters}=\frac{395}{1000}\text{ km}=0.395\text{ km}$

Therefore, Martin was 0.395 kilometers from the hole, when he started.

3 0

2 years ago

PLEASE HELP AND BE RIGHT BEFORE ANSWERING

Vesna [10]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

Since point P is the center of dilation, it doesn't move. (It is "invariant.") The other points on the figure move to 1/4 of their original distance from P. On this diagram, it is convenient that the distances are all multiples of 4 units, so dividing by 4 is made easy.

7 0

2 years ago