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xxMikexx [17]
3 years ago
7

A square has side length (x+5) units. What is it’s area

Mathematics
1 answer:
daser333 [38]3 years ago
7 0

The area of square is x^{2}+10 x+25 square units

<h3><u>Solution:</u></h3>

Given that square has side length (x+5) units

To find: area of square

<em><u>The area of square is given as:</u></em>

\text {Area of square }=\mathrm{a}^{2}

Where "a" is the length of side

From question, length of each side "a" = x + 5 units

Substituting the value in above formula,

\text {Area of square }=(x+5)^{2}

{\text {Expanding }(x+5)^{2} \text { using the algebraic identity: }} \\\\ {(a+b)^{2}=a^{2}+2 a b+b^{2}}\end{array}

\begin{array}{l}{\text {Area of square }=x^{2}+2(x)(5)+5^{2}} \\\\ {\text {Area of square }=x^{2}+10 x+25}\end{array}

Thus the area of square is x^{2}+10 x+25 square units

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Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bott
SpyIntel [72]

Answer:

<em>Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2</em>

<em></em>

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \frac{1}{2}bh

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \frac{1}{2}*4*2.24 = 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = <em>8.96 ft^2</em>

For the rectangular sections of the roof, area is

A = lh

where l is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = <em>30 ft^2</em>

<em></em>

For the bottom face, area is

A = lw

where l is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = <em>20 ft^2</em>

<em></em>

Surface area of the roof of the dog kennel is

<em>8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2</em>

4 0
3 years ago
Graph the equation by translating y=|x|.<br> y=|x+7|<br> PLEASE HELP ASAPPPP
andrew11 [14]

Answer:

The graph is the 4th picture

Step-by-step explanation:

When graphing, you take the opposite if there is a number in the absolute value bars. If there is, then you will be going towards the x axis. If there is a number outside of the absolute value bars, assume that this will be the y axis

6 0
3 years ago
4-63
Savatey [412]

Answer:

$36.88

Step-by-step explanation:

4 inch cost $2.95

50 inch cost 2.95*50 / 4 = $36.875 = $36.88

3 0
3 years ago
mary has $500 in her savings account and she buy a pair of shoes every week for $125 write a function
zepelin [54]
500-125x
can't keep that habit up
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3 years ago
A rectangular photograph has an area of 65 square inches. If the length of the photo is 3 inches less than twice it's height, fi
tankabanditka [31]
A = L * H
A = 65
L = 2H - 3

65 = H(2H - 3)
65 = 2H^2 - 3H
-2H^2 + 3H + 65 = 0
(-Hh + 13)(H + 5) = 0

-2H + 13 = 0
-2H = -13
H = -13/-2
H = 6.5 <== height is 6.5 inches

H + 5 = 0
H = -5....this wont work because it is negative

L = 2H - 3
L = 2(6.5) - 3
L = 13 - 3
L = 10 <== length is 10 inches


4 0
3 years ago
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