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pickupchik [31]
3 years ago
6

Calculate the length of the diagonal of a rectangle whose sides measure : (a) 12 meters and 48 meters (b) 11 centimetres and 60

centimetres
Mathematics
1 answer:
Serggg [28]3 years ago
7 0
When solving this problem, you need to imagine the diagonal line through the rectangle. This makes two triangles which you can use the pythagorean theorem for. 12 squares plus 48 squared equals 2,448. Find the square root of that at it will be your answer (I don’t have the time to figure it out). 11 squared plus 60 squared is 3,712. Square root tbd... add the label and you’re finished!
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Classify the number 3 as real, imaginary, and/or complex. Choose all that apply.
Elena L [17]
3 is only a Real number because Real Numbers are made like 1,2,3... like counting meanwhile the other two, complex numbers are a real number +b(i) and imaginary numbers are anything with i. Hope this helps!
3 0
3 years ago
list as many combinations of three dimensions you can come up with that would give you a volume if 1536 cubic feet.
Monica [59]

Answer:

1.) Length = 8ft, width = 8ft, height = 24ft

2.) Length = 8ft, width = 16ft, height = 12ft

3.) Length = 8ft, width = 24ft, height = 8ft

4.) Length = 8ft, width = 32ft, height = 6ft

5.) Length = 6ft, width = 8ft, height = 32ft

6.) Length = 16ft, width = 4ft, height = 24ft

7) Length = 12ft, width = 8ft, height = 16ft

8.) Length = 2ft, width = 64ft, height = 12ft

9.) Length = 48ft, width = 16ft, height = 2ft

Step-by-step explanation:

To obtain a volume of 1536 cubic feet:

This means Length × width × Height equals 1536ft^3

1.) Length = 8ft, width = 8ft, height = 24ft

2.) Length = 8ft, width = 16ft, height = 12ft

3.) Length = 8ft, width = 24ft, height = 8ft

6 0
3 years ago
Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute. Salamander digital offers cellular phone
Ivahew [28]

Answer:

750 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

1 cent = 0.01

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute.

$39.95 + 0.01x

Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute.

$9.95 + 0.05x

How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital?

This is calculated as:

Beetle cellular = Salamander digital

$39.95 + 0.01x = $9.95 + 0.05x

Collect like terms

$39.95 - $9.95 = 0.05x - 0.01x

$30.00 = 0.04x

x = $30.00/0.04

x = 750 minutes

A person need to use 750 minutes a month for beetle cellular to cost the same as salamander digital.

4 0
3 years ago
Which set of numbers represents the lengths of the sides of a right triangle?
slega [8]
Using the Pythagorean theorem ~ a² + b² = c² ~, if this is true then the triangle is a right triangle.

a) 5² + 10² = 15²
    25 + 100 = 225 *FALSE*

b) 13² + 35² = 37²
     169 + 1225 = 1369 *FALSE*

c) 9² + 40² = 41²
    81 + 1600 = 1681 *TRUE*

d) 6² + 9² = 10²
    36 + 81 = 100 *FALSE*

The answer is C) 9, 40, 41.
5 0
3 years ago
Read 2 more answers
Emily has 8 coins in her purse totaling 50 cents. The only kinds of coins she has are nickels and dimes. How many nickels does E
makvit [3.9K]
5x + 10y = 50
x + y = 8

x = 8 - y
5*(8-y) + 10y = 50
40 - 5y + 10y = 50
10y - 5y = 50 - 40
5y = 10
y = 2

x + y = 8
x + 2 = 8
x = 8 - 2
x = 6

She has 6 nickels and 2 dimes
3 0
4 years ago
Read 2 more answers
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