Answer:
should be 24
Step-by-step explanation:
x+3=27
-3 -3 take away 3 on both sides to leave the variable by itself
x = 24
Find the area of the regular 15-gon with radius 5mm
1.Perimeter: [tex]\( P ≈ 31.05 \, mm \)[/tex]
2. Apothem: [tex]\( a ≈ 4.89 \, mm \)[/tex]
3. Area: [tex]\( Area ≈ 75.91 \, mm^2 \)[/tex]
So, the area of the regular 15-gon with a radius of 5 mm is approximately [tex]\( 75.91 \, mm^2 \).[/tex]
To find the area of a regular polygon, you can use the formula:
[tex]\[ Area = \frac{1}{2} \times Perimeter \times Apothem \][/tex]
Where:
- Perimeter is the total length of all the sides of the polygon.
- Apothem is the distance from the center of the polygon to the midpoint of any side.
For a regular polygon, the apothem can be calculated using trigonometry. In this case, the regular 15-gon (also called a pentadecagon) has 15 equal sides.
Let's break down the steps:
1. Calculate the Perimeter:
The perimeter of a regular polygon with ( n ) sides can be calculated as [tex]\( P = n \times s \)[/tex], where ( s ) is the length of each side. Since we're given the radius of the polygon, we need to calculate the length of one side using trigonometry.
2. Calculate the Apothem:
The apothem of a regular polygon can be calculated using the formula:
[tex]\[ a = r \times \cos\left(\frac{\pi}{n}\right) \][/tex]
where ( r ) is the radius of the polygon, and ( n ) is the number of sides.
3. Plug the values into the Area Formula:
Once you have both the perimeter and the apothem, you can plug them into the area formula and calculate the area.
Let's do the calculations:
1. Calculate the Perimeter:
The length of one side ( s )) can be calculated using trigonometry. Since we're dealing with a 15-gon, each interior angle is[tex]\( \frac{(15-2) \times 180°}{15} = 156° \).[/tex]
Using the law of cosines:
[tex]\[ s = 2 \times r \times \sin\left(\frac{180°}{15}\right) \][/tex]
[tex]\[ s = 2 \times 5 \times \sin(12°) \][/tex]
[tex]\[ s ≈ 2 \times 5 \times 0.207 ≈ 2.07 \, mm \][/tex]
So, the perimeter (( P )) is:
[tex]\[ P = 15 \times 2.07 ≈ 31.05 \, mm \][/tex]
2. Calculate the Apothem:
[tex]\[ a = 5 \times \cos\left(\frac{\pi}{15}\right) \][/tex]
[tex]\[ a = 5 \times \cos(12°) \][/tex][tex]\[ a = 5 \times \cos\left(\frac{\pi}{15}\right) \][/tex]
[tex]\[ a ≈ 5 \times 0.978 ≈ 4.89 \, mm \][/tex]
3. Plug the values into the Area Formula:
[tex]\[ Area = \frac{1}{2} \times 31.05 \times 4.89 \][/tex]
[tex]\[ Area ≈ \frac{1}{2} \times 31.05 \times 4.89 ≈ 75.91 \, mm^2 \][/tex]
So, the area of the regular 15-gon with a radius of 5 mm is approximately [tex]\( 75.91 \, mm^2 \)[/tex].
the snowfall total two years ago was 10.2 inches. last years was 20% grater. what’s last years snowfall total
12.24 inches
you would do 10.2 x 1.2
Answer: 12.24
Step-by-step explanation:
Create a cylinder with a height of 9 cm
and a radius of 5 cm.
Notice that the estimated volume calculation is 706.9 cm3.
What do you notice about the volume?
Answer:
its four times larger
Step-by-step explanation:got it right on the test
A circle with radius 4 centimeters.
What is the area of this circle in terms of pi?
8Pi cm2
16Pi cm2
32Pi cm2
64Pi cm2
Answer:
= 16 pi cm²
Step-by-step explanation:
Area of a circle = pi × r ²
Where r = radius = 4cm
Therefore
Area = pi × 4² cm²
Area = pi × 4 × 4 cm²
Area = pi × 16 cm²
Area = 16 pi cm²
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What point is an x-intercept of the quadratic function f(x)=(x-4)(x+2)
Answer:
x-intercepts (4,0) and (-2,0)
Step-by-step explanation:
f(x)=(x-4)(x+2)
f(x)=0=y
0=(x-4)(x+2)
x-4=0 or x+2=0
x=4 or x=-2
x-intercepts (4,0) and (-2,0)
Mr.Baker creates 35 math test problems in 5 hours for the upcoming math pop quiz. How many questions does Mr.Baker create in 3 hours?
Answer:
21 questions
Step-by-step explanation:
First find the unit rate by dividing question number by hours
35/5=7
So he makes 7 questions per hour
Multiply 7 by 3
7*3=21
So, he makes 21 questions in 3 hours
Hope this helps! :)
11.6
fg dsjkfl;jslbnlkxcvgbhjkl
Whats the answer??? Pleaseeee!!!!
To find the 20th term in this sequence, we can simply keep on adding the common difference all the way until we get up to the 20th term.
The common difference is the number that we are adding or subtracting to reach the next term in the sequence.
Notice that the difference between 15 and 12 is 3.
In other words, 12 + 3 = 15.
That 3 that we are adding is our common difference.
So we know that our first term is 12.
Now we can continue the sequence.
12 ⇒ 1st term
15 ⇒ 2nd term
18 ⇒ 3rd term
21 ⇒ 4th term
24 ⇒ 5th term
27 ⇒ 6th term
30 ⇒ 7th term
33 ⇒ 8th term
36 ⇒ 9th term
39 ⇒ 10th term
42 ⇒ 11th term
45 ⇒ 12th term
48 ⇒ 13th term
51 ⇒ 14th term
54 ⇒ 15th term
57 ⇒ 16th term
60 ⇒ 17th term
63 ⇒ 18th term
66 ⇒ 19th term
69 ⇒ 20th term
This means that the 20th term of this arithemtic sequence is 69.
Anthony deposited $500 into his bank account. A couple of days later he withdrew $40. The next day he
deposited $30. A day later, he withdrew $100. How much money is left in his account?
Answer:
$390
Step-by-step explanation:
First he has $500-$40=$460
So now he has $460+$30=$490
He has $490-$100=$390
$390 money is left in his account.
Explanation:
First, he has $500-$40=$460
So now he has $460+$30=$490
He has $490-$100=$390
What is an example of a word problem?
Word problems normally encompass mathematical modeling questions, where facts and statistics approximately a positive system is given and a student is required to expand a model. for example Jane had $five.00, then spent $2.00. How lots does she have now?
What are the three forms of word problems?You could use three common varieties of word problems-- part-part-whole, separate and join and multiply and divide -- for everything from counting pennies to calculating a tip.
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there were 15 girls and 25 boys in a science club . what percent of the members were girls?
Answer:
The answer is 37.5%
Answer:
37.5%
Step-by-step explanation:
add 15+20 =40 15/40 *100(we use 100 because a percent is always out of 100.) 0.375*100. = 37.5
-2=g-9
Please Help!!!
Answer:
g = 7
Step-by-step explanation:
you add 9 to 9 and cancle it out . then you add 9 to -2 and you get 7 = g . just switch it around and you get your answer .
Answer:
7=g
Step-by-step explanation:
the circumference of r=5 units
Step-by-step explanation:
Given
Radius (r) = 5 units
π = 3.14
Now
Circumference
= 2πr
= 2 * 3.14 * 5
= 31.4 units
Answer:
31.4 units
Step-by-step explanation:
Circumference of a circle = 2 # r
Where pi(#) = 3.14
r = radius = 5 units
Circumference = 2 × 3.14 × 5
Circumference = 10 × 3.14
Circumference = 31.4 units
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How do I determine a domain of a function
Answer:
See below.
Step-by-step explanation:
The domain is the set of numbers that can be substituted into the x-variable.
In a polynomial function of any degree, the domain is the set of real numbers.
If a function has x in the denominator or x in a square root, you must see which values of x make the function undefined, and exclude those values from the domain.
Select all the equations where n= 6 is a solution.
Choose 3 answers:
4=10-n
3=n/2
12=n+7
8n=48
5+n=8
The correct equations where n=6 is the solution are: 4 = 10 - n, 3 = n / 2, and 8n = 48. This is determined by substituting n = 6 into every equation and checking if both sides equate.
Explanation:The topic being explored here is identifying the proper equations with n = 6 as the solution. This involves plugging in the value of n (which is 6) into each equation and checking if the equation holds true.
4 = 10 - n becomes 4 = 10 - 6, which simplifies to 4 = 4. This is true. 3 = n / 2 becomes 3 = 6 / 2, which simplifies to 3 = 3. This is true. 12 = n + 7 becomes 12 = 6 + 7, which simplifies to 12 = 13. This is false. 8n = 48 becomes 8*6 = 48, which simplifies to 48 = 48. This is true. 5 + n = 8 becomes 5 + 6 = 8, which simplifies to 11 = 8. This is false.
Therefore, the correct equations where n = 6 is the solution are: 4 = 10 - n, 3 = n / 2, and 8n = 48.
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6 + (-2)3 ∙ (-4 + 1).
Answer:
1
Step-by-step explanation:
6+(-2)3-(-4+1)
6+(-8)-(-4+1)
6+(-8)-(-3)
(-2)-(-3)
=1
A certain number was multiplied by 4. Then, this product was divided by 19.4. Finally 6.4 was subtracted from this quotient, resulting in a difference of -8.4, What was this number?
Answer:
-9.7
Step-by-step explanation:
we can do the opposite of everything that was done to get the resulting difference
so......
-8.4+6.4=-2
-2x19.4=-38.8
-38.8/4=-9.7
and to double check.......
-9.7x4=-38.8
-38.8/19.4=-2
-2-6.4=-8.4
What is the solution to the system of linear equations graphed below?
On a coordinate plane, 2 lines intersect at (3.5, negative 4).
(3 and one-half, negative 4)
(Negative 4, 3 and one-half)
(0, 3)
(0, negative 4)
Answer:
the answer is d
Step-by-step explanation:
i took the quiz on Edge
The solution to the system of linear equations graphed below if, On a coordinate plane, 2 lines intersect at (3.5, negative 4) is (0, negative 4).
What is a linear equation?A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line. Functions like y = mx, where m can be any constant, are considered linear equations.
Given:
On a coordinate plane, 2 lines intersect at (3.5, negative 4),
the coordinates of the intersection point are (3.5, -4)
The equation of must satisfy these coordinates,
On the y-axis line will have no x-intercept i.e. x = 0
Hence, the coordinates will become (0, -4)
Thus, the solution to the system of linear equations graphed below is (0, negative 4).
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Box plots for chapter 6 test scored of two classes are shown.
Answer:
There is a 5% difference
Step-by-step explanation:
80%-75%=5%
Ming is walking around a circular track. The diameter of the track is approximately 125 meters. If Ming walks around the track 5 times how many total meters will she walk? Round your answer to the nearest whole meter.
Pd: the answer is 1963 but I don’t know the process.
Answer:
[tex]1,963\ m[/tex]
Step-by-step explanation:
step 1
Find the circumference of the circular track
The circumference is given by the formula
[tex]C=\pi D[/tex]
we have
[tex]D=125\ m[/tex]
assume
[tex]\pi=3.14[/tex]
substitute
[tex]C=(3.14)(125)=392.5\ m[/tex]
step 2
If Ming walks around the track 5 times, then to find out the total meters that she will walk, multiply the circumference of the circular track by 5
[tex]392.5(5)=1,963\ m[/tex]
A tritone is...
A. any three notes that, when played together, sound pleasing.
B. a chord consisting of three notes.
c. an interval that played an important part in 12th century music
compositions.
D. an interval of three whole steps.
Answer:
A
Step-by-step explanation:
Just trying to finish this class! Helppp
Answer:
I think it is the second one
A circle is centered on point B. Points A. C and D lie on its circumference.
If angle ABC measures 124", what does angle ADC measure
Answer:
So, ADC = 124/2 => ⛰ ADC = 62°
Step-by-step explanation:
If ABC i.e angle of centra = 124°
If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle
If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle So, ADC = 124/2 => ⛰ ADC = 62°.Thank You ☺️ ☺️.
☆ ★ Make It Brainlist Answer Please....Angle ABC is 124 degrees. That makes a linear pair with angle DBC, which must be the supplement 56 degrees.
That's the unique angle in an isosceles triangle. The others must be (180-56)/2=62.
Answer: 62°
azul bought 10 reams of paper at the store for $84. The tax on the purchase is $4. What was the cost of each ream of paper. Which equation can you use?
10r + 4 = 84
10r - 84 = 4
4 ( 10r) = 84
4 - 10r = 84
Answer:
should be A
Step-by-step explanation:
Answer:The answer is 10r-84=4
Step-by-step explanation:
Find negative square root of 49. (4 points)
Answer:
-7
Step-by-step explanation:
hope this helps
Travis is at a carnival and has a chance to win a goldfish. He can either roll 2 or 3 on a six-sided fair die or pick either an A or B out of a hat which contains letters A, B, C, D, and E. Which game should Travis play to win a goldfish? Explain.
Answer:
Travis should pick to play the hat game.
Step-by-step explanation:
You would need to evaluate the probablity of winning in each option
Option 1 (rolling die)
p(roll 2 or 3)=2/6
p(roll 2 or 3)=1/3=.33
Option 2 (pick letters)
p(pick A or B) = 2/5
p(pick A or B) = .4
.33<.4
Since option 2 with picking letters has a higher chance of winning, then Travis should play the second game to win the goldfish as a higher chance of winning makes it easier for him to win the prize.
Worksmith is offering a $25 mail-in rebate on the purchase of a power drill. If the sellingprice is $149.54, what is the final price after the mail-in rebate?
How can you use the number of inches in one foot to find the number of square inches in one square foot?
Find the x-intercepts for the parabola defined by the equation below.
y=x² + 9x+ 14
Answer:
(-2,0) and (-7,0).
Step-by-step explanation:
Hope this helps!
Will give brainiest if answered plzz helppp!!!!
Answer:
5.375 square ft
Step-by-step explanation:
Side of squre = 5 ft
Diameter of semicircle = 5ft
Radius of semicircle (r) = 5/2 cm = 2.5 cm
Area of green part of logo = area of square - 2 times area of one semicircle
[tex] = {side}^{2} - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = {5}^{2} - 3.14 \times {(2.5)}^{2} \\ \\ = 25 - 3.14 \times 6.25 \\ \\ = 25 - 19.625 \\ = 5.375 \: {ft}^{2} \\ [/tex]
which equation cab be used to solve for x in the triangle below ?
Answer:
AA
Step-by-step explanation:
zack and are going to the fair. zack went on 3 rides and played 5 games and paid a total of $14. marissa paid $16 for 4 rides and 4 games. find the price of one ride
Price of one ride is equals to $3 for the given system of equations.
What is the system of equations?" System of equations is a finite set of equations for which we find the common solution."
According to the question,
x represents the number of rides
y represents the number of games
Two situations are given for which we need to find the system of equations .
Situation 1: Zack went for 3 rides and played 5 games and paid $14, which represents the equation:
3x +5y = 14
⇒ 5y = 14 - 3x
⇒ y = ( 14 - 3x) / 5
Situation 2: Marissa went for 4 rides and played 4 games and paid $16, which represents the equation:
4x +4y = 16
Substitute the value y in situation 2 we get,
4x + 4[( 14 - 3x) / 5] =16
⇒ x = 3
Hence, price of one ride is equals to $3 for the given system of equations.
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