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Alenkinab [10]
3 years ago
12

A picture frame is 5 inches on 2 sides and x inches on the other 2. If its perimeter is 50 inches, how long is each of the other

sides?
A. 20

B. 22

C. 45

D. 48
Mathematics
2 answers:
WINSTONCH [101]3 years ago
8 0
The answer is A because 5 on 2 sides would equal 10 leaving 40 left dividing it by 2 which is 20.
sertanlavr [38]3 years ago
5 0
General formula of the perimeter is
p = 2l + 2w

Given from the question
p = 50
l = 5

Asked from the question
w?

Solution
p = 2l + 2w
2w + 2l = p

Input the numbers to the equation above
2w + 2l = p
2w + 2(5) = 50
2w + 10 = 50
2w = 50 - 10
2w = 40
w = 40/2
w = 20

Each of the other sides is 20 inches
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Which hyperbola’s asymptote rectangle has the greatest perimeter?
Vitek1552 [10]

Answer:

The greatest perimeter is in (D) ⇒ the perimeter = 60 units

Step-by-step explanation:

* In the hyperbola

- The standard form of the equation of a hyperbola with

  center (h , k) and transverse axis parallel to the x-axis is

  (x - h)²/a² - (y - k)²/b² = 1

∵ the length of the transverse axis is  2a

∵ the length of the conjugate axis is  2b

∴ The perimeter of asymptote rectangle is 2(2a + 2b)

* Lets check the answers to find the greatest perimeter

A) (x - 4)²/11² - (y + 2)²/3² = 1

* Compare it with the standard form equation

∵ a = 11 ⇒ 2a = 22

∵ b = 3 ⇒ 2b = 6

∴ The perimeter = 2(22 + 6) = 56

B) (x - 2)²/4² - (y + 1)²/10² = 1

* Compare it with the standard form equation

∵ a = 4 ⇒ 2a = 8

∵ b = 10 ⇒ 2b = 20

∴ The perimeter = 2(8 + 20) = 56

C) (x + 5)²/5² - (y - 3)²/9² = 1

* Compare it with the standard form equation

∵ a = 5 ⇒ 2a = 10

∵ b = 9 ⇒ 2b = 18

∴ The perimeter = 2(10 + 18) = 56

D) (x - 7)²/8² - (y - 2)²/7² = 1

* Compare it with the standard form equation

∵ a = 8 ⇒ 2a = 16

∵ b = 7 ⇒ 2b = 14

∴ The perimeter = 2(16 + 14) = 60

* The greatest perimeter is in (D)

4 0
3 years ago
Read 2 more answers
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Rama09 [41]
4x=x
IS that what it is wanting? I don't quite know. If I am correct I am glad I could help but If I am incorrect then I very very very very sorry!

5 0
3 years ago
Read 2 more answers
Find the percent of change in the perimeter.
WINSTONCH [101]

Answer:

-30%

Step-by-step explanation:

currently, the perimeter is: 4 + 6 + 4 + 6 = 20 in.

when the width of 4 in is decreased by 3 in, the new width become (4-3) in = 1 in

therefore, the new perimeter is: 1 + 6 + 1 + 6 = 14 in

the change in perimeter is: 20 in - 14 in = 6 in

now, the percent of change in perimeter will be:

\frac{change- in -perimeter}{original -perimeter} *100 = \frac{6}{20}*100 = 30%

BUT because this change is a DECREASE, you have to put a NEGATIVE sign before the value to inducate that it's a decrease, so

change in perimeter = -30%

7 0
3 years ago
the sides of a square are all increased by 3cm The area of the new square is 64cm^2. Find the length of the original square
djyliett [7]
The "new" square must have sides of size 8

8 * 8 = 64

so the original square must have had sides of size 5cm. 8 - 3
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