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il63 [147K]
3 years ago
5

A square has a perimeter of 14.4 in. What is the length of each of the sides?

Mathematics
2 answers:
Tju [1.3M]3 years ago
7 0
The length of each side is 3.6
scZoUnD [109]3 years ago
3 0
14.4/4 is 3.6. Therefore the answer is 3.6.
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Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m
MAXImum [283]

Answer:

<h3> The width (side perpedicular to the barn):  <u>x = 8 m</u></h3><h3>      The lenght (side parallel to the barn):  <u>y = 16 m</u> </h3>

Step-by-step explanation:

x  - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing:  A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x             ←  quadratic function

The maximum value of quadratic function occurs at:  x=-\frac b{2a}

a = -2,  b = 32

x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8

32-2x = 32 - 2•8 = 16

4 0
3 years ago
Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
REY [17]

Answer:

9.93

Step-by-step explanation:

Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.

From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):

(15+y)(10) = 17^2

Solving for y we get:

(15+y)(10) = 17^2\\150+10y=289\\10y=289-150\\10y=139\\y=13.9

Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:

5 * 13.9 = 7 * x

Now solving, we get:

5 * 13.9 = 7 * x\\69.5=7x\\x=\frac{69.5}{7}\\x=9.93

Thus x = 9.93

last answer choice is right.

4 0
3 years ago
When using a debit card: A:There are always fees. B:Identification is always required. C:You still need to record transactions i
Komok [63]

Answer:

D.

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

7 0
3 years ago
Which statement about
Romashka-Z-Leto [24]
One of the factors is ( h - 7 ) that’s the answer
8 0
3 years ago
The steps for solving the equation 2x - 3 = 7 are listed below:
goblinko [34]
You are inversing for subtraction which is addition so D
3 0
3 years ago
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