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Veronika [31]
3 years ago
10

Describe a method you can use to find the area of the following shape. Provide specific details in your answer, including coordi

nates and descriptions of shapes used. Then, find the actual area of the figure. (8 points)
The shape looks like this in points (1,0) to (3,-5) to (1,-8) to (-5,-8) to (-3,-6) to (-5,-3) then back to the starting point (1,0)

Mathematics
1 answer:
insens350 [35]3 years ago
7 0
The area of figure ABCDEF can be computed as the sum of the areas of trapezoid ACDF and triangle ABC, less the area of trangle DEF.
  trapezoid ACDF area = (1/2)(AC +DF)·(CD) = (1/2)(8+5)(6) = 39
  triangle ABC area = (1/2)(AC)(2) = 8
  triangle DEF area = (1/2)(DF)(2) = 5

Area of ABCDEF = (ACDF area) + (ABC area) - (DEF area) = 39 +8 -5 = 42

The actual area of ABCDEF is 42 square units.

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A random sample of 77 fields of corn has a mean yield of 26.226.2 bushels per acre and standard deviation of 2.322.32 bushels pe
PSYCHO15rus [73]

Answer:

Therefore the  95% confidence interval is (25,707.480 < E < 26,744.920)

Step-by-step explanation:

n = 77

mean u = 26,226.2  bushels per acre

standard deviation s = 2,322.32

let E = true mean

let A = test statistic

Find 95% Confidence Interval

so

let  A =  (u - E) *  (\sqrt{n}  / s)   be the test statistic

we want      P( average_l <  A  < average_u )  = 95%

look for  lower 2.5%  and the upper 97.5%  Because I think this is a 2-tail test

average_l =  -1.96  which corresponds to the 2.5%

average_u = 1.96

P(  -1.96  <  A  <  1.96)  =  95%

P(  -1.96  <  (u - E) *  (\sqrt{n}  / s)  <  1.96)  =  95%

Solve for the true mean E ok

E   <   u + 1.96* (s  / \sqrt{n})

from  -1.96  <  (u - E) *  (\sqrt{n}  / s)

E < 26,226.2 +  1.96*( 2,322.32 / \sqrt{77} )

E < 26,226.2 +  1.96*( 2,322.32 / \sqrt{77} )

E < 26,226.2 +  518.7197348105429466

upper bound is 26,744.9197

or

u - 1.96* (s  / \sqrt{n})  < E

26,226.2 -  518.7197348105429466  < E

25,707.48026519  < E

lower bound is 25,707.48026519

Therefore the  95% confidence interval is (25,707.480 < E < 26,744.920)

7 0
3 years ago
A coffee shop needs to purchase custom cups. Company C charges a flat fee of $155 plus $15 perrl cup. Company D does not have a
bezimeni [28]

Answer:

11 cups

Step-by-step explanation:

Not really a method just started at 10 and then realised deal d was better so go up by one so 11 and c worked out better as I timed 30 by 11 and 15 by 1 + the flat fee.

8 0
3 years ago
A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh
Rainbow [258]

The difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the​ bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the​ bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

Read more about depth at:

brainly.com/question/17147411

#SPJ1

8 0
1 year ago
How much is 1 watt in volts
olganol [36]

The answer to your is 100 volts

4 0
3 years ago
Ellason wants to solve the following system using the elimination method: 5x + 2y = 30 x + y = 8 What number should the equation
Zinaida [17]
 - 2 because we obtain : - 2x - 2y = - 16 ;
We solve the system:
5x + 2y = 30
-2x - 2y = -16
_____________(+)
3x /       = 14;
x = 14/3;
y = 8 - 14/3;
y = 24/3 -14/3;
y = 10/3;

The solution of the system is ( 14/3 ; 10/3 )

8 0
3 years ago
Read 2 more answers
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