What is the measure of the angle between two consecutive vertices of a
regular decagon (ten-sided shape)? *

The radius of a circle is half the length of the diameter, and the circumference is the perimeter of the circle. However, the circumference is not triple the radius, and the diameter is not triple the length of the radius.

In the context of Mathematics, particularly geometry, the following statements are indeed true about the components of a circle:

However, the statements that the circumference is triple the radius, to find the circumference multiply it by the diameter, and the diameter is triple the length of the radius, are incorrect. The circumference of a circle is calculated as 2πr (two times the radius times Pi), and the diameter is twice the length of the radius, not triple.

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Answer:

[tex]\huge\boxed{x=1\ \vee\ x=2}[/tex]

Step-by-step explanation:

[tex]3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}[/tex]

[tex]\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}[/tex]

Final answer:

To solve the given equation involving exponents, convert 3^(x+1) and solve as a quadratic equation.

Explanation:

The equation is: 3^(2x) - 4*3^(x+1) + 27 = 0. To solve this, we can use the rules of exponents to change 3^(x+1) into 3*3^x.

Step-by-step solution:

Substitute 3^(x+1) with 3*3^x in the equation.

Now, you have a quadratic equation in terms of 3^x, solve it to find the value of 3^x.

Once you find the value of 3^x, proceed to find the value of x.

Answer:

x = 63

Step-by-step explanation:

Step 1:  Solve for x by multiplying both sides by 9

x/9 * 9 = 7 * 9

x = 63

Answer:  x = 63

Final answer:

19/22 as a decimal is approximately 0.86363636..., and when rounded to the nearest tenth, it is 0.9.

Explanation:

To find what 19/22 is as a decimal rounded to the nearest tenth, we first need to perform the division of 19 by 22. When you carry out this division, the result is approximately 0.86363636... To round this to the nearest tenth, we would look at the first digit after the decimal point, which is 8, since the next digit (6) is greater than or equal to 5, we round up the 8 to 9. Therefore, 19/22 rounded to the nearest tenth is 0.9.

Answer:

y=x+3

Step-by-step explanation:

y=-1x-1..... k1=-1

k1*k2=-1 (perpendicular) then

Slope=1=k2

A(6,9) x1 =6,y1 =9

y-y1 =k2(x-x1)

y-9=1(x-6)

y-9=x-6

y=x-6+9

y=x+3

Answer:

175.93cm²

Step-by-step explanation:

Answer: 175.929 yd^2

Step-by-step explanation:

Answer:

[tex]0.236[/tex]

Step-by-step explanation:

The total number of cats in a local cat show is 250

Of these, 73 are orange, 11 are white, 80 are black, 27 are calico, 50 are gray, and 9 are tuxedo.

The probability of a

randomly selected cat from the show will be gray or tuxedo is

[tex] = \frac{50}{250} + \frac{9}{250} [/tex]

We simplify to get:

[tex] = \frac{50 + 9}{250} [/tex]

[tex] = \frac{59}{250} [/tex]

[tex] = 0.236[/tex]

To find the probability of selecting a gray or tuxedo cat in a cat show, add the number of gray and tuxedo cats, then divide by the total number of cats.

The probability that a randomly selected cat from the show will be gray or tuxedo is calculated by adding the number of gray cats and tuxedo cats, then dividing by the total number of cats.

Number of gray cats = 50

Number of tuxedo cats = 9

Total number of gray or tuxedo cats = 50 + 9 = 59

Probability = Number of gray or tuxedo cats / Total number of cats

Probability = 59 / 250 ≈ 0.236

Answer: Since Yuko used 1.5x the amount of eggs that he should have used, in order to find the answer you need to take the amount of flour Yuko was SUPPOSED to use and multiply it by 1.5

If Yuko uses 3 eggs instead of 2, Yuko should multiply the amount of flour required by 3/2 or 1.5 to maintain the correct proportionality, according to the recipe's proportions.

Based on the problem, we are dealing with ratios in a recipe. The ratio provided is flour to eggs. If we had an example ratio, let's say 2 cups flour to 1 egg, and Yuko uses 3 eggs instead of 1, we'd have to scale up the flour by the same factor to keep the proportions in the pancake batter consistent.

Since Yuko uses three times the eggs (3 is three times larger than 1), he should also use three times the amount of flour. So for our example, if 1 egg needed 2 cups of flour, 3 eggs (which is three times 1 egg) would require 6 cups of flour (three times 2 cups) to maintain the correct proportionality.

Thus, if Yuko accidentally uses 3 eggs instead of 2 eggs, he needs to also increase the amount of flour used proportionately to maintain the same pancake consistency according to the recipe's ratios.

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Answer:

[tex]\leq[/tex]11

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

The sum of 8 terms is 43690.

A series is the cumulative sum of a given sequence of terms.

Given:

2+8+32+...

a=2. r= 4

So, the sum of 8 terms

Sn = a(r^n - 1) / (r - 1),

S8 = 2( 65536 -1)/ (4-1)

S8= 65535*2/

S8 = 43690.

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Answer:

56.14%

Step-by-step explanation:

Answer: 56.140350877193%

Step-by-step explanation:covert fraction (ratio) 32/57 that’s how you get your answer.

Answer:

-1

Step-by-step explanation:

4x-1=-4

-4+3=-1

The value of h(-1) is -1 after plugging the value of x = -1 in the function h(x) = 4x + 3 the answer is -1.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function h(x) = 4x + 3

Plug x = -1 in the above function:

h(-1) = 4(-1) + 3

h(-1) = -4 + 3

h(-1) = -1

The linear function can be defined as the relation between two variables, if we plot the graph of the linear function we will get a straight line.

If in the linear function, one variable is present, then the function is known as the linear function in one variable.

Thus, the value of h(-1) is -1 after plugging the value of x = -1 in the function h(x) = 4x + 3 the answer is -1.

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The correct statement is B. If p → q is true and p is true, then q is true.

The correct statement is B. If p → q is true and p is true, then q is true.

This is known as the modus ponens rule and is a valid argument form in propositional logic. It states that if an implication is true and the antecedent (p) is true, then the consequent (q) must also be true.

For example, if p represents 'it is raining' and q represents 'the ground is wet', and the statement 'if it is raining, then the ground is wet' is true, and we know that it is indeed raining (p is true), then we can conclude that the ground is wet (q is true).

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In the problem, we need to find the greatest common factor (GCF) of 27 and 36, which are the number of toys Joey has. The GCF is the highest number that can divide two numbers without a remainder. Factoring out, we see that the GCF is 9, and thus, Joey can put 9 toys in each bin.

The subject of this question is Mathematics, specifically the area of greatest common factor (GCF). We have to find the greatest number of toys that can be evenly distributed in bins using 27 trucks and 36 boats.

To solve this problem, we need to determine the GCF of 27 and 36. The GCF is the largest number that can divide two numbers without a remainder. Factoring out 27 and 36, we find that their common factors are 1, 3, and 9, with 9 being the largest. Therefore, the greatest number of toys Joey can put in a single bin without mixing the toy types is 9.

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d(4) = 64

Step-by-step explanation:

Step 1:

d(n)=d(n−1)+17 ​

d(2) = d(1) +17

       = 13+17

        = 30

d(3) = d(2) + 17

       = 30+17

       =47

Step 2:

d(4) = d(3) + 17

       = 47+17

       = 64

Answer:

y = 2x + 23

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (- 8, 7) into the partial equation

7 = - 16 + c ⇒ c = 7 + 16 = 23

y = 2x + 23 ← equation of line

Answer:

y=mx+c

y=2x+c

Y intercept(c) 23 - to find y we have to input the values

7=2*-8+c

7=-16+c

23=c

Answer:

4 pounds?????

Step-by-step explanation:

(NOT QUITE SURE WHAT THE QUESTION WAS SO MAY BE WRONG)

7 - 3 = 4 pounds????

The answer depends on the number of puppies that weigh 3 pounds and 7 pounds. If 'x' puppies weigh 3 pounds and 'y' puppies weigh 7 pounds, the number of 3 pound puppies that outweighed the 7 pounds ones can be found by subtracting 'y' from 'x'.

The phrasing of the question is a bit unclear. If we assume 'How many more puppies weighed 3 pounds than 7 pounds?' is the question, it's not possible to answer without the number of puppies that weigh 3 pounds and the number of puppies that weigh 7 pounds. Let's say you have 'x' puppies that weigh 3 pounds and 'y' puppies that weigh 7 pounds. The number of puppies that weigh more at 3 pounds than 7 pounds would be calculated as 'x' minus 'y'. If you have specific numbers to replace 'x' and 'y', substitute them in to find the number of puppies weighing more at 3 pounds.

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Answer:

On graph Y is vertical line and the intercept is where it matches x ,  as x is horizontal and always first to find. The usual equation to find x = 0 will always give you the y value in the given equation.

Step-by-step explanation:

Answer:

(3,6) if (-3,-6) is reflected off the y-axis

Answer:

720%

Step-by-step explanation:

it was easy cant explain

Answer: Its 35%

Step-by-step explanation: I'm assuming you mean 7/20

Option D: [tex]1176 \pi \ {m}^{3}[/tex] is the volume of the cylinder

Explanation:

Given that the cylinder has a radius of 14 m and a height of 6 m

We need to find the exact volume of the cylinder.

The formula to determine the volume of the cylinder is given by

[tex]Volume=\pi r^{2} h[/tex]

Let us substitute [tex]r=14[/tex] and [tex]h=6[/tex] in the above formula, we have,

[tex]Volume=\pi (14)^{2} (6)[/tex]

Squaring the terms, we get,

[tex]Volume=\pi (196)(6)[/tex]

Multiplying we have,

[tex]Volume=1176\pi \ m^3[/tex]

Thus, the volume of the cylinder is [tex]1176 \pi \ {m}^{3}[/tex]

Therefore, Option D is the correct answer.

Answer:

[tex]answer = \frac{2}{3} [/tex]

[tex] \frac{2}{9} \times \frac{3}{1} \\ = \frac{6}{9} = \frac{2}{3} [/tex]

Answer:

it is 2/3

since your multiplying a fraction times 3 you should put it over 1 to make it a fraction and then just multiply across and simplify hope this helps!!

A scale drawing is a drawing made with proportionate scaling. It helps represent objects or spaces accurately and proportionally.

A scale drawing is a drawing that is done with a scale so that specific small units of measure represent larger units of measure. Scale drawings are used to represent objects or spaces proportionally, aiding in visualizing and understanding relationships between different elements.

Answer:

-sqrt(3)

Step-by-step explanation:

If you type in your calculator, you'll get -1.732050808... which is the negative of sqrt(3)

Answer:

$31.37 is the sale price

Step-by-step explanation:

All you need to do to find the discount price (sale price) is multiply the price of the item by the decimal form of the percentage.

1. Store A. 40% off the original price of $159.99

[tex](159.99 * .40) = 63.996[/tex]

63.996 is the discount price we are looking for

2. Store B. 25% off the original price of $130.50

[tex](130.50 * .25) = 32.625[/tex]

32.625 is the discount price we are looking for

3. Now to find their difference you just subtract the two values.

[tex]($63.996 - $32.625) = $31.371[/tex]

The discount price (sale price) is $31.371

Answer:

V=2(1+2)a2h

Step-by-step explanation:

Final answer:

To calculate the volume of an octagonal prism, find the area of the base using the formula A = 2(1 + √2)s² for a regular octagon, then multiply by the prism's height. Ensure all measurements are in the same units.

Explanation:

To find the volume of an octagonal prism, you need to calculate the area of the base octagon and then multiply it by the height of the prism. The formula for the area of a regular octagon (assuming all sides, s, are equal) is                       [tex]A = 2(1 + \sqrt{2} )s^2[/tex], where s is the length of one side. To find the volume, V, you then multiply this area by the height, h, of the prism: V = A*h = [tex]2(1 + \sqrt{2} )s^2*h[/tex]. It's important to ensure that all measurements are in the same units to get the volume in cubic units (e.g., cubic centimeters, cubic meters).

Answer: You will need to put a protractor over the paper for me to answer the first one because I can only answer with protractors

Step-by-step explanation:

Answer:

apd=115

cpe=25

bpd=65

Step-by-step explanation:

Correct answer for the above question is - option B. 86°

Step-by-step explanation:

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

∠POQ = 86°

Angle POQ is  86°

Thus we can conclude option B as correct answer.

The measure of the angle POQ is  86°

From the question, we are given the following parameters;

Given:  

Required  

∠POQ = ?  

To get the unknown angle ∠POQ, we will use the expression below:

 ∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

∠POQ = 86°

Therefore the measure of the angle POQ is  86°

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Answer: the number is 8. hope it helps please give me brainliest!

Step-by-step explanation:

so the equation is 1+3x=5x-15       x= the number

-1 from both sides

3x=5x-16

-5x from both sides

-2x=-16

divide both sides by -2 to get x by itself

x=8