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2 years ago

Find the area of the figure

Mathematics

1 answer:

VLD [36.1K]2 years ago

4 0

Answer:

132 cm²

Step-by-step explanation:

Consider the shape as a trapezoid with a rectangle added on top.

The area of the trapezoid is (7+19)/2 × 8 =104

The area of the rectangle is 7×4 = 28

Add the two areas: 104+28= 132

OR consider the shape as a tall rectangle with the two triangles added to the sides.

The area of the rectangle is 7(4+8) = 84

The area of the triangles is 8(19-7)/2= 48

[Each triangle is 24 cm²]

Add those areas

84+48=132

Same result: 132 cm²

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5 less than half a number, x<br><br> please help i will give you the brainliest answer

Karo-lina-s [1.5K]

Answer: 1/2x -5

Step-by-step explanation:

Half of x , less 5. (5 less just means subtract)

5 0

3 years ago

A town has a population of 17000 and grows at 3% every year. What will be the population after 7 years, to the nearest whole num

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Answer:

122570

(17000*1.03)7

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3 years ago

Read 2 more answers

Please help. I am doing a test and I do not understand what I am being asked.

Oksanka [162]

Answer:

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Step-by-step explanation:

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5 0

3 years ago

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

Phantasy [73]

Answer:

$y=-2.95836 x +234.56159$

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)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:

$\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479$

$\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694$

$\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897$

$\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226$

$\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22$

And the slope would be:

$m=-\frac{-4152.222}{1403.556}=-2.95836$

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

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222$

$\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111$

And we can find the intercept using this:

$b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159$

So the line would be given by:

$y=-2.95836 x +234.56159$

7 0

2 years ago

can you help me out its eazy if yk it. i would do it myself but this was due before midnight and its pass midnight now and i got

Sophie [7]

Answer: .1.) 28.8

9.) 150 ft

8.) 630 ft

10.) 5'10"

Step-by-step explanation:. Ratios set up as fractions. 12/25 :x/60

cross multiply. 12 × 60 = 720. Divide by denominator if left side.

720/25 = 28.88

4 0

3 years ago