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kati45 [8]
4 years ago
6

The width of a rectangle is 2cm less than its length. The perimeter of the rectangle is 16 cm.

Mathematics
1 answer:
avanturin [10]4 years ago
8 0

Answer:

Step-by-step explanation:

Let the  Length of the rectangle  = x

Width = x - 2

Perimeter = 16 cm

2 * ( length + width) = 16

2 * ( x + x-2 ) = 16

2 * (2x - 2) = 16

2x - 2 = 16 /2

2x - 2 = 8

2x  = 8+2

2x= 10

x = 10/2

x = 5

Length of the rectangle = 5 cm

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(1) Write the ratio of the volumes of the 500ml bottle and the 2-litre bottle of milk in its simplest form.
Vadim26 [7]

Answer:

1] 1 : 4

2] 250ml

Step-by-step explanation:

1] 500ml : 2 litre

First, the units must be the same.

<em> 2 litre = 2000ml</em>

500ml : 2000ml

     5 : 20

      <u>1 : 4</u>

<u></u>

2]  \frac{2}{4} × 500

= 250ml

8 0
3 years ago
The product of two numbers is a ______ of both numbers
qwelly [4]
<h2>The product of two numbers is <em>a,</em>  \sqrt{a} of both numbers.</h2>

Step-by-step explanation:

Given,

The product of two numbers = a

To find, the both numbers = ?

Let the two numbers = x

∴ x × x = a

⇒ x^{2} =  a

⇒ x^{2} =\sqrt{a}^2

Comparing the powers, we get

⇒ x = \sqrt{a}

∴ First number = \sqrt{a} and Second number = \sqrt{a}

Thus, the product of two numbers is <em>a,</em>  \sqrt{a} of both numbers.

5 0
3 years ago
Astore pays $927.40 for a water heater and marks the price up by 5%. What is the new price?
Slav-nsk [51]

Answer:

$973.77

Step-by-step explanation:

$927.40 = 100%

New price = 100% + 5%

New price = 105% of 927.40

105% of 927.40 = 1.05(927.40)

1.05(927.40) = 973.77

-Chetan K

8 0
3 years ago
Math help please with best answer gets brainliest
Nutka1998 [239]

Answer:

D.

Step-by-step explanation:

Are of the triangle= height x base/2

                                 15.2 x 35.6

                                  541.12/2

                                  270.56

If you are worried about 23.4´s in the triangle they always tend to be there and confuse the student.The height will always have that little square.

8 0
3 years ago
Read 2 more answers
If he is correct, what is the probability that the mean of a sample of 68 computers would differ from the population mean by les
elena-14-01-66 [18.8K]

Complete Question

The quality control manager at a computer manufacturing company believes that the mean life of a computer is 91 months with a standard deviation of 10 months if he is correct. what is the probability that the mean of a sample of 68 computers would differ from the population mean by less than 2.08 months? Round your answer to four decimal places. Answer How to enter your answer Tables Keypad

Answer:

P(-1.72

Step-by-step explanation:

From the question we are told that:

Population mean \mu=91

Sample Mean \=x =2.08

Standard Deviation \sigma=10

Sample size n=68

Generally the Probability that The  sample mean  would differ from the population mean

P(|\=x-\mu|<2.08)

From Table

P(|\=x-\mu|

T Test

Z=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }

Z=\frac{2.08}{\frac{10}{\sqrt{68} } }

Z=1.72

P(|\=x-\mu|

P(-1.72

Therefore From Table

P(-1.72

5 0
3 years ago
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