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Alexandra [31]
3 years ago
13

Steve is turning half of his backyard into a chicken pen. His backyard is a 24-meter by 45-meter rectangle. He wants to put a ch

icken wire fence along the west side of the yard, the south side of the yard, and along the diagonal connecting the northwest to the southeast corner of the yard.
How many meters of fencing will Steve need to fully enclose this area?
Mathematics
1 answer:
Bad White [126]3 years ago
4 0
The diagonal line is equal to \sqrt{24^{2} + 45^{2}  } using pythagoras' theorem of a^{2} + b^{2} =  c^{2}. This gives us a value of 51m for the diagonal line.

TOTAL; 51+24+45=120m of fencing 
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The probability density function shown models the amount of rainfall per year for a certain location. If the area of each square
harkovskaia [24]

Answer:

0.45

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

8 0
3 years ago
What is the solution set of the equation using the quadratic formula?
oee [108]

(1)

we are given

x^2+6x+10=0

we can use quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

now, we can compare and find a , b and c

we get

a=1,b=6,c=10

now, we can plug these values into quadratic formula

x=\frac{-6\pm \sqrt{6^2-4(1)(10)}}{2(1)}

x=\frac{-6+\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

we can simplify it

x=-3+i

x=\frac{-6-\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

x=-3-i

so, we will get solution

{−3+i, −3−i}.........Answer

(2)

we are given equation as

x^2-8x+14=0

Since, Jamal solve this equation by completing square

so, firstly we will move constant term on right side

so,  subtract both sides by 14

x^2-8x+14-14=0-14

x^2-8x=-14

we can write

-8x=-2\times 4\times x

so, we will add both sides by 4^2

x^2-8x+4^2=-14+4^2

we get

x^2-8x+16=-14+16..............Answer


4 0
3 years ago
In the figure, x ‖ y ‖ z and a is a transversal that crosses the parallel lines.
nalin [4]
<span>B. ∠1 and ∠9</span>
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7 0
3 years ago
If a 2/3 cup serving of cereal provides your full daily value of full look acid than what percent of your daily value of folic a
Temka [501]
Write a proportion like 2/3 is to 100% as 1/2 is to X. ( 2/3:100::1/2:X) 

<span>Multiply the centers and divide by the know side. 100 x 1/2 = 50 and 50 divided by 2/3= 75 </span>

<span>So the answer is 75 % of the daily value. </span>
5 0
3 years ago
Consider the function.
matrenka [14]

The correct options are:

a) g(x) = 8*x - 6

b) g(x) = 2x - 10

c) g(x) = 2x - 14

d) g(x) = 8x - 24

<h3>How to identify each transformation?</h3>

Here we have the function:

f(x) = 2x - 6

The proposed transformations are:

a) Stretch by a factor of 4 along the x-axis.

A horizontal stretch of scale factor k is written as:

g(x) = f(x*k).

Then, in this case, we have:

g(x) = 2(x*4) - 6 = 8*x - 6

b) Shift f(x) 4 units down.

A vertical shift of N units is written as:

g(x) = f(x) + N

A shift of 4 units down is written as:

g(x) = f(x) - 4 = 2x - 6 - 4 = 2x - 10

c) Shift f(x) 4 units right.

An horizontal shift of N units is written as:

g(x) = f(x + N).

For a shift of 4 units to the right, we write:

g(x) = f(x - 4) = 2(x - 4) - 6 = 2x - 8 - 6 = 2x - 14

d) A vertical compression of scale factor 1/4.

A vertical compression of scale factor K is written as:

g(x) = f(x)/K

In this case, we will have:

g(x) = f(x)/(1/4) = 4*f(x) = 4*(2x - 6) = 8x - 24

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

3 0
2 years ago
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