Ask question

Ask question

All categories

3 years ago

6

Find the length of the side of the square if the number of square meters in its area is 1.5 times the number of meters in its pe

rimeter

1 answer:

Alinara [238K]3 years ago

8 0

a - a length of side of square

The area: A = a²

The perimeter: P = 4a

The equation:

$a^2=1.5\cdot4a\\\\a^2=6a\ \ \ \ |-6a\\\\a^2-6a=0\\\\a(a-6)=0\iff a=0\ \vee\ a-6=0\\\\\boxed{a=6}$

You might be interested in

Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The

maksim [4K]

Answer:

Option C.

Step-by-step explanation:

Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.

Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.

Using triangle proportionality theorem we get

$\dfrac{SA}{SB}=\dfrac{CT}{BT}$

$\dfrac{SA}{10}=\dfrac{2.7}{9}$

On cross multiplication we get

$9\times SA=2.7\times 10$

$9SA=27$

Divide both sides by 9.

$SA=3$

The length of SA is 3ft.

Therefore, the correct option is C.

8 0

3 years ago

Read 2 more answers

The first two numbers in a sequence h are h(1) = 2 and h(2) = 6.

Ghella [55]

Answer:

Step-by-step explanation:

Given the first two numbers of a sequence as 2, 6...

If it is an arithmetic difference, the common difference will be d = 6-2 = 4

Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d

a is the first term = 2

d is the common difference = 4

n is the number if terms

Substituting the given values in the formula.

Nth term Tn = 2+(n-1)4

Tn = 2+4n-4

Tn = 4n-4+2

Tn = 4n-2

2) If the sequence us a geometric sequence

Nth term of the sequence Tn = ar^(n-1)

r is the common ratio

r is gotten by the ratio of the terms I.e

r = T2/T1

r = 6/2

r = 3

Since a = 2

Tn = 2(3)^(n-1)

Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)

3 0

3 years ago

How to factor a polynomial in the form p^2-m^2 <br><br> HELP!!

lilavasa [31]

Answer: if you are going to put it like p^2-m^2 no one going to have that answer so I need the p and the m like for example the p=5 and the m=4

Step-by-step explanation: so it going to be like

Evaluate for m=4,p=5

5^2−4^2

=9

So I can’t answer how you put it

6 0

3 years ago

ZOOM IN ON PICK

salantis [7]

Answer:

C. The difference of the medians is 4 times the interquartile range.

Step-by-step explanation:

The diagram show two box plots.

<u>Mahoney's box plot:</u>

Median $=33$

Interquartile range $=34-32=2$

<u>Martin's box plot:</u>

Median $=41$

Interquartile range $=42-40=2$

The interquartile ranges are the same.

The difference of the medians $=41-33=8$

Hence, the difference of the medians is 4 times the interquartile range.

6 0

4 years ago

In the fig given below .AB║DC find x<br>helpplzzz

marissa [1.9K]

Answer:

x = 150°

Step-by-step explanation:

The given parameters are;

AB ║ DC

∠BAE = 105°

∠AEC = 25°

We construct a line CF from C parallel to the line AE as presented in the included diagram created with Microsoft Visio

We have;

∠DCF ≅ ∠BAE = 105° by similar angles formed by two pairs of parallel lines

∠AEC = ∠ECF = 25° by alternate interior angles formed by two parallel lines and a common transversal

x = 125° + 25° = 150° By angle addition postulate

x = 150°.

6 0

3 years ago