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Virty [35]
2 years ago
12

For the following right triangle, find the side length. Round your answer to the nearest hundredth

Mathematics
2 answers:
Mars2501 [29]2 years ago
5 0

Answer:

9.75

Step-by-step explanation:

To do this problem, use the Pythagorean Theorem, a^2 + b^2 = c^2. Right now, you have that a = 7 and c = 12, so it would be

7^2 + b^2 = 12^2\\49 + b^2 = 144\\b^2 = 95\\b = \sqrt{95}

Rounding to the nearest hundredth, you get: 9.75

IRINA_888 [86]2 years ago
4 0

Answer:9.75

Step-by-step explanation:12x12 =144 and 7x7= 49 subtract 144-49 and get 95 the square root of 95 is approximately 9.747 rounded to the nearest hundredths place is 9.75

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Might want to take a better picture... it's hard to see.
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3 years ago
The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra
Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

Where:

s= Sample standart deviation

N= Number of observations in the sample

{\displaystyle \textstyle {\bar {x}}}= Mean value of the sample

and \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} } simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

\bar {x}=\frac{1}{N}  \sum_{i=1}^{N}x_{i}

\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)

\bar {x}=\frac{1}{15}*(3810)

\bar {x}=254

Now, let's calculate the summation:

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160

So, now we can calculate the standart deviation:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}

s=\sqrt[ ]{\frac{2173160}{14}}

s=393.99

The sample standard deviation is 393.99

3 0
3 years ago
. For the function y= -5x2 - 10x + c, the vertex is (-1,8). What is c? F. -13 G. -3 - J. 13 H. 3​
Marrrta [24]

Answer:

c=3

Step-by-step explanation:

8=-5(-1)^2-10(-1)+c

8=5+c

c=3

4 0
3 years ago
( 2-Part Question.)
swat32
3x=40.20.... Each book costed $13.40
8 0
3 years ago
Read 2 more answers
Two 2 1/2 inch plastic strips and two 5 1/3 inch plastic strips are used to form a rectangle. What is the perimeter of the recta
svp [43]
In this question the given information's should be closely noted. The length and width of the perimeter are already given. Based on those information's the answer to the question can be easily deduced.
Length of the rectangle = 2 1/2 inch
                                       = 5/2 inch
Width of the rectangle = 5 1/3 inch
                                         = 16/3 inch
Then
Perimeter of a rectangle = 2 ( Length + Width)
                                        = 2 [(5/2) + (16/3)]
                                         = 2 [ (45 + 32)/6]
                                         = 2 * (77/6)
                                         = 77/3 inch
                                         = 25 2/3 inch
So the perimeter of the rectangle in question is 25 2/3 inch. I hope the procedure is clear to you.
5 0
2 years ago
Read 2 more answers
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