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maks197457 [2]
4 years ago
15

Check my work? Calculate the total area of the space. 1 unit=5 feet. I got 302.6ft^2. I think the octagon is 170ft^2, the square

is 115ft^2, and the semicircle is 17.6ft^2 but i'm unsure :/

Mathematics
1 answer:
Salsk061 [2.6K]4 years ago
7 0
Kitchen=625ft^2
Formaldining=150+50=200ft^2 
Breakfastnook=84.8ft^2

Add them and you get 909.8 ft^2
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∠1 and ∠2 are supplementary angles. ∠1 and ∠3 are vertical angles. If m ∠2=72 degrees, then find m ∠3
JulsSmile [24]

Answer:

m<3 = 108

Step-by-step explanation:

Since <1 and <2 are supplementary, the equation is:

<1 + <2 = 180

Since <1 and <3 are vertical angles. the equation is:

<1 = <3

To find m<3:

<2 + <3 = 180

72 + <3 = 180

<3 = 180 - 72

<3 = 108

3 0
3 years ago
Read 2 more answers
Ecologists sometimes find rather strange relationships in our environment. For example, do beavers benefit beetles? Researchers
Harman [31]

Answer:

The appropriate conclusion that answers the question stated in step one is:

  • The weak correlation value does not support the idea that beavers benefit beetles.
  • The largest number of beetle larvae was 55 and the largest number of stumps was 5.

Step-by-step explanation:

1) Select the appropriate practical question.

The appropriate practical question is:

"How does the number of beaver-caused stumps influences the number of beetle larvae clusters?"

2) Make a scatter plot.

The scatter plot is attached below.

From the scatter plot it can be seen that there exists a negative relationship between beaver stumps and beetle larvae. That is as the number of stumps increases the number of beetle larvae decreases.

The maximum number of beaver stumps found is 5.

3)

The best numerical summary for this problem are,

Correlation and regression line

The least square regression line for predicting the number of beetle larvae from the number of stumps is:

<em>y</em> = 31.594 - 2.8365 <em>x</em>.

Use the Excel function "=CORREL(array1,array2)" to compute the correlation.

The correlation value is, <em>r</em> = -0.219.

Both the correlation coefficient and regression line explains a negative relationship between the number of beetle larvae and the number of stumps.

Values amid 0 and 0.3 (0 and -0.3) implies a weak positive (negative) linear relationship amid the variables.

Thus, a correlation coefficient, r = -0.219, indicates a weak negative correlation between two variables.

Thus, the appropriate conclusion that answers the question stated in step one is:

  • The weak correlation value does not support the idea that beavers benefit beetles.
  • The largest number of beetle larvae was 55 and the largest number of stumps was 5.

3 0
3 years ago
Solve the following by elimination method <br> 11x+15y+23=0 and 7x-2y-20=0
mr Goodwill [35]
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)

Multiply equation (1) by 2:
22x + 30y + 46 = 0

Multiply equation (2) by 15:
105x - 30y - 300 = 0

Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]

Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3

Therefore, x = 2 and y = -3.
7 0
4 years ago
Given that the triangles shown below are similar, what is the value of x?
Montano1993 [528]

Using proportions, it is found that the value of x is of x = 5, hence option A is correct.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Since the triangles are similar, the lengths are proportional. Researching the problem on the internet, we have that the proportions are given as follows:

  • A side with a length of x is proportional to a side with length 25.
  • A side with a length of 3 is proportional to a side with length 15.

Hence:

\frac{x}{25} = \frac{5}{25}

Simplifying the denominators:

x = 5.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
2 years ago
Between 10 P.M. and 7:54 A.M.​, the water level in a swimming pool decreased by 11/40 . Assuming that the water level decreased
xxMikexx [17]

Answer:

It approximately dropped 0.027777 per hour.

Step-by-step explanation:

First, we calculate the decrease.

Decrease = 11/40 = 0.275

Then,  we calculate the time interval.

From 10 pm to 7:54 hours will be 9.54 hours

Time interval= (9 + 54/60) hours

Time interval=9.9 hours

Finally, we calculate how much it dropped each hour

0.275/9.9 ≈ 0.027777

So it approximately dropped 0.027777 per hour.

7 0
1 year ago
Read 2 more answers
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