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Flura [38]
3 years ago
10

The French mathematician Pierre de Fermat (1601-1665) considered the sequence 5, 17, 257, 65537,

Mathematics
1 answer:
Semenov [28]3 years ago
3 0
These are prime numbers.

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QUES
snow_tiger [21]

Answer:

Now, derive it from the calculations

Step-by-step explanation:

Net income = 100% = N120,000

therefore

1. Food

40%/100% = 2/5 of N120,000

= N48,000

2.Housing

30%/100% = 3/10 of N120,000

= N36,000

3. Savings

20%/100% = 2/10 (or 1/5) of N120,000

= N24,000

4. Miscellaneous

10%/100% = 1/10 of N120,000

= N 12,000

Quick mathmy friend

3 0
2 years ago
Ok this is a long one so if the ratio of R&B songs to rap to is 6:7 the total of songs are 115 and 120 how many R and B song
Degger [83]
Are u able to take a picture of the whole question?
3 0
3 years ago
A guy wire supports an antenna tower, as shown at the right. The bottom of the wire is secured in the ground 30 feet from the ba
babunello [35]

Answer:

The wire is approximately 42feet long

Step-by-step explanation:

We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.

The hypotenuse side is the length of the wire we are looking for.

Parameters are given as:

Opposite : 30ft

Adjacent: 30ft

Hypotenuse: x feet

The hypotenuse = \sqrt{opp^2 + adj^2}

Hypotenuse =\sqrt{30^2+ 30^2} \approx 42ft

5 0
3 years ago
The middle side of a triangle is half of 3 times the length of the shortest side. The longest side is 2 centimeters longer than
USPshnik [31]

<u>Answer:</u>  

The difference between the longest and shortest sides of the triangle is 4 cm.

<u>Explanation:</u>

<em>Step Number One:</em>

Let the shortest side of the triangle have a length of x.

The middle side of the triangle has a length that is half of 3 times the length of the shortest side. This can be written as 1/2*3x, which equals 3/2x.

The longest side of the triangle has a length that is 2 centimeters longer than the length of the middle side. This can be written as 3/2x + 2.

<em>Step Number Two: </em>

The perimeter of the triangle, which can be found by adding the lengths of all of the sides of the triangle, is 18 centimeters. This can be shown by the following equations:

Shortest Side + Middle Side + Longest Side = Perimeter

x + 3/2x + 3/2x + 2 = 18

4x + 2 = 18

4x = 16

x = 16/4

x = 4

<em>Step Number Three: </em>

This means that the shortest side of the triangle has a length of 4 centimeters and the longest side of the triangle has a length of 8 centimeters.

8 cm - 4 cm = 4 cm

--------------------------------------------------------------------------------------------------------------

Are you still confused? Not feeling confident in your ability to solve these types of problems? Some helpful topics to practice are listed below!

<u>Still confused on ...</u>

Step 1 - Practice equation solving!

Step 2 - Practice perimeter!

Step 3 - Practice addition and subtraction!

Remember: Certain problems may be tricky, but practice makes perfect!

--------------------------------------------------------------------------------------------------------------

<em>Answer by Math_Is_Me_123         </em>

7 0
3 years ago
Use row operations to solve the system.
Aleks04 [339]

Answer:

x = 2, y = 7, z = 12

Step-by-step explanation:

x + y - z = -3 (1)

3x - y + z = 11 (2)

x - 4y + z = -14 (3)

add (1) and (2)

4x = 8 x = 2

add (1) and (3)

2x - 3y = -17

2(2) - 3y = -17

-3y = -17 - 4

-3y = -21

y = 7

Find z using any equation

x + y - z = -3

2 + 7 - z = -3

9 - z = -3

z = 12

3 0
3 years ago
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