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gizmo_the_mogwai [7]
2 years ago
12

A rectangle has a length of 10 cm and a width of 7 cm. What is its perimeter?

Mathematics
1 answer:
spin [16.1K]2 years ago
5 0

Answer:

34 cm

Step-by-step explanation:

Keep in mind that the perimeter of a rectangle is the sum of the measures of its sides. This means that the sum of the longer sides and the shorter sides is the perimeter of the rectangle.

Let "L" represent the longer side (length) of the rectangle and "S" represent the shorter side (width) of the rectangle.

⇒ Perimeter of rectangle = L + S + L + S

⇒ Perimeter of rectangle = 2(L) + 2(S)

⇒ Perimeter of rectangle = 2(L + S)

Now, let's substitute the length and the width in the perimeter and simplify.

⇒ Perimeter of rectangle = 2(10 + 7)                                                [L = 10; S = 7]

⇒ Perimeter of rectangle = 2(17)

⇒ Perimeter of rectangle = 34 cm

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Answer: Yes. On average, it takes about 455 days for 1 person to throw away 1 ton of garbage, so just over 1 year.

Step-by-step explanation: The average person throws away 4.4 pounds of trash daily. So, the way to figure this out is 2,000 divided by 4.4 to find out the number of days it would take to throw away 2,000 pounds of trash.

6 0
3 years ago
An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign financing laws in his electi
Anuta_ua [19.1K]

Answer:

The confidence Interval = (0.329, 0.391)

Step-by-step explanation:

Formula for the Confidence Interval for proportion =

p ± z × √p(1 - p)/n

where

p = x/n

From the question

n = 900 people

x = 36% of 900 people

= 36/100 × 900

= 324

z = z score of 95% confidence Interval

z = 1.98

p = x/n

= 324/900

= 0.36

Confidence Interval = p ± z × √p(1 - p)/n

= 0.36 ± 1.96 × √0.36 (1 - 0.36)/900

= 0.36 ± 1.96 ×√0.36 (0.64)/900

= 0.36 ± 1.96 × √0.000256

= 0.36 ± 1.96 × 0.016

= 0.36 ± 0.03136

Confidence Interval = 0.36 ± 0.03136

= 0.36 - 0.03136

= 0.32864

Approximately to 3 decimal places = 0.329

= 0.36 + 0.03136

= 0.39136

Approximately to 3 decimal places = 0.391

Therefore, the 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws = (0.329, 0.391)

7 0
3 years ago
Need help , don’t understand !!
mixer [17]

Quadratic Formula is (-b ±√(b²-4ac))/2a

With that being said:

y=2x²-5x-1 is in the correct form of ax²+bx+c

Now just plug in:

5±√(25-4(2 x-1))

5± √25+8

(5±√33)/2(2)

Answer is D

100% Sure


Brainliest?

5 0
3 years ago
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Shtirlitz [24]

Answer:

-23

Step-by-step explanation:

Let first negative integer = x

The second = x +5

Their product = 126, hence,

x * (x +5) = 126

x^2 + 5x = 126

x^2 + 5x - 126 = 0

Two numbers whose product gives - 126 and sun gives 5

x(x + 14) - 9(x+14) =0

(x - 9) = 0 or (x + 14) = 0

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Since x is said to be a negative integer,, the our x = - 14

First integer = - 14

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Sum of both integers :

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3 0
3 years ago
Math<br> order of operations-Basic four operators<br> 6x8-12divedby3+ 9
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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