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Allisa [31]
3 years ago
7

The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of ​​a rectangle

Mathematics
1 answer:
Juliette [100K]3 years ago
7 0

Answer:

Area = 960 cm^2

Step-by-step explanation:

Perimeter (P) = 2 (l + w)

P = 2l + 2w

Let the length be 5x

Let the width be 3x

From the question, P = 128.

Therefore:

128 = 2l + 2w

Divide both sides by 2.

l + w = 64

Recall we said:

l = 5x

w = 3x

So then:

5x + 3x = 64

8x = 64

Divide both sides by 8

x = 64/8

x = 8.

Since x = 8

Length = 5x = 5*8 = 40cm

Width =3x = 3 * 8 = 24cm

Area of a RECTANGLE:

Area = length * width

Area = 40 * 24

Area = 960 cm^2

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what is the slope of the line that passes through the points (7,-6) and (4,-6)? write your answer in simplest form
Andrews [41]

Answer:

<u>m = 0</u>, y = -6

Step-by-step explanation:

using point slope form :

y - y_{1} = m(x - x_{1})

y-y1=m(x-x1) ; initial point (x1,y1) = (4,-6), final point (x,y) = (7,-6).

one substituted, it should look like this:

-6--6 = m(7-4),

-6+6= m(7-4)

0 = m(7-4)

0 = 3m

0/3 = 3/3m

0 = m

m = 0/3 = 0

4 0
3 years ago
Postulate: If two lines intersect, then they intersect in exactly one point. true or false
ololo11 [35]

Answer:

Step-by-step explanation:

The given postulate If two lines intersect, then they intersect in exactly one point is true because whenever the two lines intersect they intersect at one point only and we know that a postulate  is a statement that we accept without proof.

The given theorem If two distinct planes intersect, then they intersect in exactly one line is true as theorem is a statement that has been proved and it has been proved that if  two distinct planes intersect, then they intersect in exactly one line.

The figures are drawn to prove them.

7 0
3 years ago
Sarah downloaded two apps which were 7.48 kb total. If one app was 4.78 kb, how big was the other app?
Keith_Richards [23]

Answer:

2.7 kb

Step-by-step explanation:

Total kb = 7.48

Total apps = 2

one app = 4.78

another app = x

> 4.78 + x = 7.48

x = 7.48 – 4.78

= 2.7 kb

3 0
3 years ago
Six numbers that are not perfect cubes
Natalka [10]
Six numbers that are not perfect cubes 43, 0, 61, 15, 14, and 3
6 0
3 years ago
In the △PQR, PQ = 39 in, PR = 17 in, and the altitude PN = 15 in. Find QR.
Licemer1 [7]

Answer:

So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.


Let's solve for what is easier first:

Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.


Here comes the interesting part:

Now, we have one part of QR, which is QN.

The other part can be solved by using the Pythagorean theorem.

It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.

SO, QR = QN + NR

5+36 = 41

QR = 41.

Hope this helps!

3 0
3 years ago
Read 2 more answers
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