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Ymorist [56]
1 year ago
11

Look at this square. Find the value of a.

Mathematics
2 answers:
yaroslaw [1]1 year ago
8 0
Perimeter is the total length of all sides. 72 divided by 4 equal sides of a square will give you the value of a. 72 divided by 4 is 18. The value of a is 18 yards.
Olin [163]1 year ago
7 0

Answer:

18

Step-by-step explanation:

A square has 4 sides of equal length.

The perimeter of the square is the sum of the lengths of the sides of the square.

P = perimeter; a = length of 1 side

P = a + a + a + a

P = 4a

We are told the perimeter is 72 yd.

4a = 72 yd

Divide both sides by 4.

a = 72/4 yd

a = 18 yd

Answer: 18

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T what point does the curve have maximum curvature? Y = 7ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as
Nookie1986 [14]

Formula for curvature for a well behaved curve y=f(x) is


K(x)= \frac{|{y}''|}{[1+{y}'^2]^\frac{3}{2}}


The given curve is y=7e^{x}


{y}''=7e^{x}\\ {y}'=7e^{x}


k(x)=\frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}


{k(x)}'=\frac{7(e^x)(1+49e^{2x})(49e^{2x}-\frac{1}{2})}{[1+49e^{2x}]^{3}}

For Maxima or Minima

{k(x)}'=0

7(e^x)(1+49e^{2x})(98e^{2x}-1)=0

→e^{x}=0∨ 1+49e^{2x}=0∨98e^{2x}-1=0

e^{x}=0  ,  ∧ 1+49e^{2x}=0   [not possible ∵there exists no value of x satisfying these equation]

→98e^{2x}-1=0

Solving this we get

x= -\frac{1}{2}\ln{98}

As you will evaluate {k(x})}''<0 at x=-\frac{1}{2}\ln98

So this is the point of Maxima. we get y=7×1/√98=1/√2

(x,y)=[-\frac{1}{2}\ln98,1/√2]

k(x)=\lim_{x\to\infty } \frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}

k(x)=\frac{7}{\infty}

k(x)=0







5 0
3 years ago
Please answer these 2 questions please!
Leno4ka [110]

Answer:

The 4th answer, at the bottom.

Step-by-step explanation:

The first answer is proportional, because y is equivalent to .5x.

The second answer is also proportional, because the ratios are equivalent.

The third answer is also proportional, because the line goes through the origin.

The fourth answer isn't proportional, because the ratios aren't equivalent.

5 0
3 years ago
Using only four 4's and any operational sign find the value of 8
torisob [31]

Answer:

The answer is 4 + 4 + 4 - 4 = 8

Step-by-step explanation:

The four fours problem is one of the problems given in the book "The Man Who Calculated" by Malba Tahan, a Brazilian-born professor of mathematical sciences.

There are many complicated problems in this book made with the intention of using logic to find a value.

The 4 fours problem is based on using these numbers and using any operation to result in the numbers 1 through 10.

4 0
3 years ago
Helpppp pleaseeee ????
Agata [3.3K]

Answer:

LQ = 54

Median = 69

UQ = 94

Step-by-step explanation:

This list is already sorted for you, so you don't need to worry about that, otherwise you would need to sort the numbers in ascending order. To find the median, we do \frac{n+1}{2}, where n is the amount of numbers. This gives us 4, so the median is at position 4, so the median is 69. The lower quartile is simply \frac{n+1}{4}, so 2, so the lower quartile is 54. The upper quartile is \frac{n+1}{2} X 3, so 6, so the upper quartile is 94.

3 0
2 years ago
Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.
rodikova [14]

Answer:

A,B,andE

Step-by-step explanation:

Or The length AB is 2, The length A'B' is 3, and The scale factor is Two-Thirds

6 0
3 years ago
Read 2 more answers
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