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astraxan [27]
3 years ago
7

davidson family wants to expand its rectangular patio, which currently measures 15 ft by 12 ft. they want to extend the length a

nd width the same amount to increase the total area of the patio by 160 ft2. which quadratic equation best models the situation?
Mathematics
2 answers:
trapecia [35]3 years ago
6 0

Answer:

Answer on Edg is D

Step-by-step explanation:

just did the test

kumpel [21]3 years ago
5 0
<h2>Answer</h2>

(12+x)(15+x)=160+15*12

Which simplifies to:

x^2+27x-160=0

<h2>Explanation</h2>

Let x the number of feet they are going to expand the width and length of the patio. So the new width of the patio will be 12+x and the new length 15+x.

Remember that the area of a rectangle is <u>width times length</u>, so the length of our expanded patio will be (12+x)(15+x). But, we also know form our problem that they want to increase the total area of the patio by 160 ft2. The actual area of the patio is (15ft)(12ft), so the expanded area of the patio will be 160ft^2+(15ft*12ft).

Now we can equate the expanded area of the patio and simplify:

(12+x)(15+x)=160+15*12

180+12x+15x+x^2=160+180

180+27x+x^2=340

x^2+27x-160=0

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castortr0y [4]
The <span>height of the tower. is  27 m

Now, we write h/x = tan 45
i.e h/x = 1 
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or (x+20) = 1.73h
or from equation 1 , 
h+ 20 = 1.73 h
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3 years ago
Which of the following things is NOT contained in B?
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2 years ago
Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. I
Elden [556K]

Answer:

Time = 11\frac{2}{3}\ min

Step-by-step explanation:

Given

Security\ A = 2\ mins, 20\ secs

Security\ B = 1\ mins, 40\ secs

Required

After how many minutes, will they round together

First, convert the given time to minutes

Security\ A = 2\ mins, 20\ secs

Security\ A = 2\ mins+ 20\ secs

Security\ A = 2\ mins+ \frac{20}{60}\ min

Security\ A = 2\ mins+ \frac{1}{3}\ min

Security\ A = 2\frac{1}{3}\ min

Security\ B = 1\ mins, 40\ secs

Security\ B = 1\ mins+ 40\ secs

Security\ B = 1\ mins+ \frac{40}{60}\ min

Security\ B = 1\frac{2}{3}\ min

So, we have:

Security\ A = 2\frac{1}{3}\ min

Security\ B = 1\frac{2}{3}\ min

List out the multiples of the time of both security personnel take round.

Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...

Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...

In the above lists, the common time is:

Time = 11\frac{2}{3}\ min

<em>This implies that they go on round after </em>11\frac{2}{3}\ min<em></em>

4 0
3 years ago
Which expression is equivalent in to the given expression? Assume the denominator does not equal zero.
marusya05 [52]

The equivalent expression of 14r^4y^6/7r^8y^2 is 2y^4/r^4

<h3>How to determine the equivalent function?</h3>

The expression is given as:

14r^4y^6/7r^8y^2

Start by dividing 14 by 7

2r^4y^6/r^8y^2

Next divide y^6 by y^2

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Lastly divide r^4 by r^8

2y^4/r^4

Hence, the equivalent expression of 14r^4y^6/7r^8y^2 is 2y^4/r^4

Read more about equivalent expression at:

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3 0
2 years ago
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Diano4ka-milaya [45]

iedikdtep-by-step explanation:

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4 years ago
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