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egoroff_w [7]
2 years ago
12

Using x as the variable, write a formula to find the perimeter of the figure. Use the formula to find the perimeter. a regular d

odecagon (12-gon); one side is 9.25 cm a. 12/x; 1.29 cm c. 12x; 111 cm b. 12 - x; 2.75 d. 12 + x; 21.25 cm
Mathematics
1 answer:
Mamont248 [21]2 years ago
6 0

Answer:

c. 12x; 111 cm

Step-by-step explanation:

The regular dodecagon has 12 sides. Each side has a length of x=9.25 cm, and we know that the perimeter of the figure is the sum of the lengths of all the sides: Therefore, since we have 12 sides, the perimeter will be given by the product between the length of each side, x, and the number of sides, 12:

p=12 \cdot x

and if we substitute x = 9.25 cm, we find

p=12 \cdot 9.25 cm=111 cm

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A sailboat's Saul has three sides that are all the same length. Each side measures x - 10 units. The sail's perimeter is 63 unit
ruslelena [56]

Answer:

The value of 'x' is 31 unit

Step-by-step explanation:

Given:

Measure of each side = x-10\ units

Perimeter of sails  = 63 units.

We need to find the value of x.

Solution:

Now we can see that from given data.

A sailboat's Saul has three sides.

Now assuming it to be triangle we get;

"Perimeter of triangle is equal to sum of all side."

So we can say that;

x-10+x-10+x-10 =63\\\\3x-30=63

Now adding both side by 30 we get;

3x-30+30=63+30\\\\3x=93

Now dividing both side by 3 we get;

\frac{3x}{3}=\frac{93}{3}\\\\x=31 \ units

Hence the value of 'x' is 31 units.

6 0
3 years ago
Given f(x)=3x+4. Determine the value of x if f(x)=21 to the nearest tenth.
ella [17]

Answer:

5.7

Step-by-step explanation:

3x+4 = 21

3x = 17

x = 5.666667 = 5.7

6 0
3 years ago
Solve the equation n + 32=60​
Juli2301 [7.4K]
N would equal 28 since 60-32 is 28
6 0
3 years ago
Read 2 more answers
1001112 = [ ? ]10<br> ?<br> what number belongs where the question mark is
EleoNora [17]

I suppose you're supposed to convert 100111 from base 2 to base 10. We have

100111_2=2^5+2^2+2^1+2^0=32+4+2+1=39_{10}

so the missing number is 39.

4 0
3 years ago
a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th
Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

<u>A positive number is 7 times another number:</u>

  • a = 7b

<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>

  • a+3 = 5/2 × (b +3)

<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>

  • 7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 2
  • 14b + 6 = 5b + 15                    ⇒ collecting like terms
  • 14b - 5b = 15 - 6
  • 9b = 9
  • b = 1                                        ⇒ solved for b

<u>Then, finding a:</u>

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

<u>So the numbers are</u> 7 and 1

3 0
3 years ago
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