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Korolek [52]
3 years ago
6

A square is cut in half on the diagonol, creating two equal triangles. Each triangle has and area of 0.72 square units. What is

the side lengths in units of the original square?
Mathematics
1 answer:
Drupady [299]3 years ago
4 0
If the triangle area is 0.72 the area of the square is 0.72+0.72= 1.44 Square units

Also area of a square = side ^2
Side ^2 =1.44
Side= sqrt (1.44)= 1.2 units

Answer is 1.2 units
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If you have 8 people and 6 pies you have to divide 6/8 so that each person has the same amount..........so each one can have 3/4th of a cream pie
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HELP PLS Could use some assistance ​
geniusboy [140]

Answer:C

Step-by-step explanation:

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The length of a new rectangular playing field is 7 yards longer than triple the width. If the perimeter of the rectangular playi
hodyreva [135]

Answer:

Mark me as brainlist

Step-by-step explanation:

Math Tutor or Teacher: amanpreet.jaggi

Hi,

Let width = w

Length = l

now according to the question

l = 3w+7

Perimeter = 2(w+l) = 462 .... equation 1

Substituting values of l and w in equation 1 we get

462 = 2(w+3w+7)

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So width = 56 yards and length = 175 yards

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We only get credit when you accept the answer

4 0
3 years ago
An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m
SVETLANKA909090 [29]

Answer:

a) y=-6.254 x +75.064  

b) r =-0.932

The % of variation is given by the determination coefficient given by r^2 and on this case -0.932^2 =0.8687, so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y)     Interest Rate (X)

       22                               9.2

       20                               7.6

       10                                10.4

       45                                5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this 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}  

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}=278.65-\frac{32.5^2}{4}=14.5875  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225  

And the slope would be:  

m=\frac{-91.225}{14.5875}=-6.254  

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

\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125  

\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25  

And we can find the intercept using this:  

b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064  

So the line would be given by:  

y=-6.254 x +75.064  

Part b

For this case we need to calculate the correlation coefficient given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937  

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by r^2 and on this case -0.932^2 =0.8687, so then the % of variation explained by the linear model is 86.87%.

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