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Stels [109]
2 years ago
12

A palindromic number is a number that reads the same forwards as it does backwards (example: 282 or 51715). How many 5-digit pal

indromic numbers have digits that add up to 14?
Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
8 0

Palindromes are numbers whose reverse is the same as the original number

There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

<h3>How to determine the count of 4-digit palindromes</h3>

The digit of the palindromic number is 5.

This means that:

  • The first digit of the palindrome can be any of 1 to 7 (because 7 is half of 14)
  • The second digit can be any of 0 - 6 (i.e. 7 digits)
  • The third digit can be any of 9 digits
  • The fourth digit must be the second digit (i.e. 1 digit)
  • The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

Total = 7 + 7 + 9 +  1 +1

Total = 25

Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

Read more about palindromes at:

brainly.com/question/26527765

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An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle
Natalka [10]

Answer:

Radius of the circle is <em>15 inches.</em>

<em></em>

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

\theta = \dfrac{l}{r} ..... (1)

where \theta is the central angle in radians subtended by arc

l is the length of arc

r is the radius of arc

We are Given the following details:

l = \dfrac{5\pi}{4}\ inch

\theta = 15^\circ

We know that \pi \ radians = 180 ^\circ

Converting \theta to radians:

\theta =\dfrac{\pi}{180} \times 15 radians

Putting the values of \theta and l to find the value of r

\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches

Hence, Radius of the circle is <em>15 inches.</em>

6 0
2 years ago
What is the square root of 10, and 9?
Orlov [11]
The answer is 3 and 3.16227766017
3 0
2 years ago
Read 2 more answers
URGENT WORTH 20 POINTS
Triss [41]
If we were to draw a best fit line, the y-interest would be near 15, and the slope would be negative.

In the options given, the slope is either -3 or -13. If we imagine a line through the plotted points, the rise would be about 15 while the run would be about 5. This means the slope is about -3.

The best answer is y = -3x + 15





5 0
3 years ago
Is this true or false?
marusya05 [52]

Answer:

TRUE

Step-by-step explanation:

4 0
3 years ago
How do you complete the square of x^2-14x+33=0?
iVinArrow [24]
X² - 14x + 33 = 0 is in the form ax² + bx + c = 0. We will need this for the second step.

Subtract 33 from both sides
x² - 14x = - 33

Divide the b term by 2 and then square the result. Then add that to both sides.
- 14 / 2 is - 7. (- 7)² = 49. Add that to both sides

x² - 14x + 49 = - 33 + 49

Combine the constants and factor the trinomial
(x - 7)² = 16

Square root both sides
x - 7 = +/- 4
or
x - 7 = - 4 and x - 7 = 4

You have to place a plus-minus statement because (- 4)² and 4² both equal 16. 

Now we solve for x in each equation. Add 7 to both sides to isolate our variable.
x = 3 and x = 11

7 0
3 years ago
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