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4 years ago

The perimeters of the square and the regular pentagon are equal.

Mathematics

2 answers:

slava [35]4 years ago

8 0

Good evening ,

Answer:

Step-by-step explanation:

Perimeter of the the square = 4(3x+3) = 12x + 12

perimeter of the pentagon = 5(x+8) = 5x + 40

the perimeters are equal means 12x + 12 = 5x + 40

12x + 12 = 5x + 40 ⇔ 7x = 28 ⇔ x = 4

x=4 ⇒ 4(3x+3) = 4×15 = 60

⇒5(x+8) = 5(4+8) = 60

g100num [7]4 years ago

6 0

The answer is d step by step

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Help my please with math

frosja888 [35]

8x + 7y = -15 (1st)
-7x - 9y = -7 (2nd)

multiply (1st) by 7 and (2nd) by 8

56x + 49y = -105 (multiply 7)
-56x - 72y = -56 (multiply 8)
--------------------------------------------add
-23y = -161
y = 7

8x + 7y = -15
8x + 7(7) = -15
8x + 49 = -15
8x = -64
x = -8

answer
x = -8 and y = 7

4 0

3 years ago

A stairway rises 6 feet 4 inches over a horizontal distance of 8 feet 6 inches. What is the diagonal length of the stairway

natali 33 [55]

Answer:

10.6 ft

Step-by-step explanation:

to find the diagonal length of the stairway we can use the pythagorean theorem or a^2 + b^2 = c^2

6'4" is also 6 1/3' or 19/3'

8'6" is also 8 1/2' or 17/2'

now square them both

361/9 + 289/4

make them have the same denominator

1444/36 + 2601/36

add them

4045/36

take the square root

10.6000524 is your answer

10.6 ft

7 0

2 years ago

A researcher wants to know how undergraduate college students at her university feel about a list of 1196 undergraduate college

marusya05 [52]

Complete Question

The complete question is shown on the first uploaded image

Answer:

Population

All undergraduate college students at the researcher's university ,

Sample

The 107 undergraduate college students who returned the questionnaire

Step-by-step explanation:

From the question we are told that

The list of undergraduate college students obtained from her university is n= 1196

The number of student that are randomly selected is n = 500

The number of e-mail that was returned is k = 107

The proportion that believes that the federal student loan program needs to be completely overhauled is $\^{p} = 0.71$

Generally the population for this particular study is

All undergraduate college students at the researcher's university ,

this is because they are the total pool of data from which the statistical sample are randomly selected from

Generally the sample for this particular study is

The 107 undergraduate college students who returned the questionnaire

this is because this data provides us with an insight on the perspective of all undergraduate college students at the researcher's university about federal financial aid

5 0

3 years ago

It takes Naomi 4 minutes to run 5 laps. How long does it take her to run 30 laps? Use a table, double number line, tape diagram

Alex17521 [72]

Answer: 24 ???

Step-by-step explanation:

4 mins to run 5 ... so im guessing it goes by 5

5 = 4

10 = 8

15 = 12

20 = 16

25 = 20

30 = 24

I am not sure if its right but that what i think ( you can use a table btw one colom that says laps and starts with 5 then the other colom that says mins and starts with 4

Hope its right Good Luck have a good rest of your day

6 0

3 years ago

in 1950, the population of a city was about 800,000 people. over the next 50 years , the population increased to 1.3 million. fi

nordsb [41]

Subtract 1.3 million from 800,000 and you get ur answer

5 0

3 years ago