The value of x in a 18-gon that has an interior angle measurement of 2x - 6 is 55.33
What are polygons?Polygons are 2-dimensional shapes that are made of straight lines.
Therefore,
sum of interior angle of polygon = 180(n - 2)
where
n = number of sidesTherefore,
sum of interior angle of polygon = 180(18 - 2)
sum of interior angle of polygon = 180(16)
sum of interior angle of polygon = 2880
Since, it is a 18-gon, the value of x can be found as follows;
2880 / 18 = 160 degrees
Therefore,
3x - 6 = 160
3x = 160 + 6
3x = 166
x = 166 /3
x = 55.3333333333
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PLEASE ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️!
Answer:
the answer is B.(3,6)
because y>2
so,the answer is 3&6.
there would you place -6?
Answer:
Integer
Step-by-step explanation:
Essentially Rational numbers are numbers that have decimals or fractions tied to them, negative or positive. EX: 3.66, 2 1/4.
Whole numbers are WHOLE numbers that are positive. They are to the right of zero always. EX: 1, 9, 100,258. There is no decimal or fraction tied to them. This also includes 0.
Integers are essentially a whole number that isn't a fraction. They contain all negative numbers too. EX: -1025, 56, -6.
Here is a better representation of that if you're a visual learner. Hope this helps!
Which expression is equivalent to 1/²
Or³
o po
o 12
0,27
Answer:
[tex]r^6[/tex]
Step-by-step explanation:
Hello!
Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex], we can simplify this expression.
Simplify:
[tex]\frac{r^9}{r^3}[/tex][tex]r^{9-3}[/tex][tex]r^6[/tex]The solution is [tex]r^6[/tex]
Find an equation for the line that passes throughthe points (1,-1) and (-3,5)
y = -1.5(x) + 0.5
points: (1,-1) and (-3,5)
slope:
⇒ (y2-y1)/(x2-x1)
⇒ (5-(-1))/(-3-1)
⇒ 6/-4
⇒ -1.5
equation:
⇒ y -(-1) = -1.5(x-1)
⇒ y + 1 = -1.5(x) + 1.5
⇒ y = -1.5(x) + 0.5
The cost of sending an overnight package from Kansas City to Miami is $23.50 for a package weighing up to but not
including 1 pound, and $3.80 for each additional pound or portion of a pound. A model for the total cost C in dollars) of
sending the package is C = 23.50 + 3.80Lx), x > 0, where x is the weight (in pounds).
What is the meaning of the coefficient 3.80 in the context of the problem?
O When the package weighs less than one pound, the price of the package is $3.80.
O For every pound that the package weight increases, the price of sending it increases by $3.80.
O For every pound that the package weight increases, the price of sending it increases by $23.50.
When the package weighs less than one pound, the price of the package is $23.50.
Answer:
For every pound that the package weight increases, the price of sending it increases by $3.80
Step-by-step explanation:
Overnight from KC to Miami = $23.50 for anything less than a pound + $3.80 per additional pound.
This means that for every pound that the package weight increases, the price of sending it increases by $3.80.
Which statement correctly maps AB to A′B′
x,y)↦(x+7,y−8)(x,y)↦(x+7,y−8)
(x,y)↦(x+8,y−7)(x,y)↦(x+8,y−7)
(x,y)↦(x−8,y+7)(x,y)↦(x−8,y+7)
(x,y)↦(x−7,y+8)
Answer:x+8, y-7
Step-by-step explanation:
What is the radius of the circle?
Answer:
13cm
Step-by-step explanation:
In this case you have to use the Pythagorean theorem.
cy = 24/2
cy=12 cm ( a perpendicular drawn to a chord from the center bisects the chord..
ac=5 cm (given)
now,
ay^2= 25cm + 144 cm
ay^2 = 169 cm
√169 = 13 cm
Answer:
13 cm
Step-by-step explanation:
Since AC is perpendicular to XY , and XA and AY are both radii of the same circle, you can say that AC is a perpendicular bisector.
From there, we can say that XC is 1/2 of 24 cm, or 12 cm.
We can then form triangle ACX use the Pythagorean theorem to find the length of AX.
The square root of 12^2 + 5^2 is 13.
Therefore, the radius of the circle is 13 cm
PLEASE HELP PLEASE HELP PLEASE
blue stars. let’s talk a bit about temperature. The color of a star is a function of its temperature. If a star looks red, that means its surface temperature is approximately 2,500 Kelvin. Just for comparison, our Sun, which actually looks white from space, measures about 6,000 Kelvin. The hotter the star, the further up the spectrum you go. The hottest stars are the blue stars. A star appears blue once its surface temperature gets above 10,000 Kelvin, or so, a star will appear blue to our eyes.
3+3x3+3
Whats the total
21
36
15
Answer:
c. 15
Hope it helpz~
please mark me as brainliest
Maria has 9 boxes that each weigh 78 pound.
How many pounds do the boxes weigh altogether?
Answer:
702 pounds
Step-by-step explanation:
9 * 78 = 702
Answer:
If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.
Step-by-step explanation:
9 x 72 = 702 pounds
Your welcome! :)
Car A travels at a rate of 45 miles per hour.
Car B travels at a rate of 80 miles in 2
hours. Find the unit rate of each car. Which
car is traveling faster?
Unit rate in this case denotes to distance traveled in miles per hour.Indirectly it denotes to speed
#Car A
Speed=45mph#Car B
Speed=Distance/Time=80/2=40mphAs we can observe
car A is traveling faster
could someone help me super duper fast with factoring trinomials
my previous questions are worth 50 each by the way
Answer:
(3a+3b+1)(2a+2b+3)
Step-by-step explanation:
This is the farthest they could be factored
#1
6(a+b)²+11(a+b)+3Let a+b=x
6x²+11x+36x²+2x+9x+32x(3x+1)+3(3x+1)(2x+3)(3x+1)Put value
(2(a+b)+3)(3(a+b)+1)#2
8(x+1)²-14(x+1)+3Let x+1=y
8y²-14y+38y²-2y-12y+32y(4y-1)-3(4y-1)(2y-3)(4y-1)Put value
(2(x+1)-3)(4(x+1)-3)please help me Find m
Answer:
60 degrees
Step-by-step explanation:
any closed shape has a sum of 360 degrees, now if you subtract 150 from 360 it gives you 210 minus 90 degrees, it would equal to 120. Now 120 divided by 2 since we still need to find the other two corners we haven't found, that would equal to 60 degrees.
Find the range of the following sets of numbers 100,90,20,40,0,76
Answer:
100
Step-by-step explanation:
Range = highest - lowest (R = H - L)
In order, the set is 0, 20, 40, 76, 90, 100
100-0 = 100
Answer:
100
Step-by-step explanation:
Range = Highest value -lowest value
100-0=100
Easy math 2 pictures
Answer:
See below
Step-by-step explanation:
x = hours
Payless charges = 50 + 60x
Squad charges = 80 + 50x when are they equal ?
50 + 60x = 80 + 50x
x = 3 hours
Surface area = 2 * ( 10 *5 + 5*3 + 3*10) = 190 ft^2
FIND THE VALUE OF X FOR BRAINLIEST!!! :D
Answer:
x = 41
Step-by-step explanation:
x = 180 - 97 - 42
x = 41
Sum of the triangle = 180
I hope my answer helps you.
Answer:
x° = 41°
Step-by-step explanation:
x° = (180-42- 97)° = 41°
Hope this helps
Define a rational number and show that no rational number x belongs to Q satisfies x² = 2
Answer:
A rational number is a number that can be expressed as a fraction of two integers.
if x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.
Step-by-step explanation:
A multiple-choice test has five possible answers for each question. If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question?
Answer:
20% chance of getting the right answer
Step-by-step explanation:
he has a 1/5 chance, translated into 20 percent
Help picture below problem 23 will give brainlest
Answer:
It will take them 5 hours to make 180 cupcakes
Step-by-step explanation:
17 + 19 = 36 x 5 = 180
Answer:
5 hours
Step-by-step explanation:
so since it al together you add 17+19 which equals 36. after that you divide 180 by 36 which equals 5. to recheck this I multipled 17 by 5 and 19 by 5. equaling 85 plus 95 equals 180 meaning it is 5
12x +15x² - 18x³
Factorise the expression
Answer:
-3x(2x+1)(3x-4)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
Anser and Explanation:
First, factor out an x to get:
[tex]x(-18x^2 + 15x + 12)[/tex]
Then, factor out a -3:
[tex]-3x(6x^2 - 5x - 4)[/tex]
Finally, factor by grouping:
[tex]-3x(6x^2 + 3x - 8x - 4)[/tex]
[tex]-3x(3x(2x + 1) - 4(2x + 1))[/tex]
[tex]-3x(3x - 4)(2x + 1)[/tex]
so -3x(3x - 4)(2x + 1) is the factored expression.
Choose all statements that are true.
A 15% of 15 is 1.
B 5% of 50 is 10.
C 10% of 100 is 10.
D 2% of 100 is 5.
E 3% of 200 is 6.
Answer:
C, D, E
Step-by-step explanation:
15 * .15 = 2.25
50 * .05= 2.5
100 * .10= 10
100 * .05= 5
200 * .03= 6
Cameron buys a pack of pencils and a pencil sharpener for $15. The pencil sharpener costs twice as much as the pack of pencils. How much does the pack of pencils cost?
A. $2
B. $10
C. $5
D. $30
Answer:
D. $30
Step-by-step explanation:
All you have to do is multiply 15 by 2 and you'll get 30.
Solve.
-14 - (-12)
A. -26
B. -2
C. 2
D. 26
Answer:
-2
Step-by-step explanation:
Apply the rule for this:
a - (- b) = a + b
Thus, we have:
-14 - (-12) = -14 + 12
Add the number:
Since there are more negative than positive the final solution is negative
Hence, now 14 - 12 = 2
Now bring the negative down:
-2
Therefore, the answer is -2
Kavinsky
When there are two minuses beside each other
⇒ we can equate them as a '+'
so:
-14 - (-12) = -14 + 12 = -2 or Choice (B)
Hope that helps!
A city has 15 stations, including 6 hip hop stations. What is the possibility that a randomly chosen radio station in the city was a hip-hop station? Write your answer as a fraction or whole number.
Answer:
I'm pretty sure the answer is 6½
The length of a rectangle is 4FT less than three times the width, and the area of the rectangle is 55FT. Find the dimensions of the rectangle.
Answer:
The required dimensions of rectangle are 11 feet and 5 feet.Step-by-step explanation:
Given, The length of a rectangle is 4 ft less than three times the width, and the area of the rectangle is 55 ft².
Let's assume width of rectangle be x feet and length be 3x - 4 feet. Using the formula of Area of rectangle we'll find the value of length and width.
[tex] \\ \dashrightarrow{ \red{ \underline{ \underline {\sf\: \:Area _{(rectangle)} = Length \times width}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\dashrightarrow\: \: (3x - 4)(x) = 55 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 - 4x = 55 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 - 4x - 55 = 0 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 + 11x - 15x - 55 = 0 \\ [/tex]
[tex]\dashrightarrow\: \: x(3x+11) -5(3x+11) = 0 \\ [/tex]
[tex]\dashrightarrow\: \: (x-5)(3x+11) = 0 \\ [/tex]
[tex] { \red{ \dashrightarrow\: \: { \underline{ \underline{ {x = 5 \: or \: \dfrac{-11}{3}}}}}}} \\ \\ [/tex]
Hence,
Length of rectangle = 3x - 4 = 3(5) -4 = 11 feet Breadth of rectangle= x = 5 feet[tex]\therefore[/tex] The required dimensions of rectangle are 11 feet and 5 feet.
x^2+y^2=y is written in polar form as r = ?
r = 3sinA is written in rectangular form as x^2+y^2= ?
[tex]x^2+y^2=r^2~\hfill x=rcos(\theta )~\hfill y=rsin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ r=3sin(A)\implies \stackrel{\textit{multiplying both sides by "r"}}{r^2~~ = ~~3~rsin(A)}\implies x^2+y^2=3y[/tex]
r = 3sinA is written in rectangular form as[tex]x^2+y^2 = 3y.[/tex]
What is De Moivre's theorem for exponentiation of complex numbers?Any complex number z = a + ib can be written in polar form as:
[tex]z = r(\cos(\theta) + i\sin(\theta))[/tex]
Complex numbers are those numbers that contain the imaginary and the real part.
Raising this to nth power (n being an integer), we get:
[tex]z ^n = r^n (\cos(n\theta) + i\sin(n\theta))[/tex]
We need to find r = 3sinA is written in rectangular form as[tex]x^2+y^2[/tex].
We know that
x = r cosA
y = r sin A
We have been given ;
r = 3sinA
Multiply by r on both sides;
[tex]r^2 = 3r sin A\\\\r^2 = 3 y[/tex]
therefore,
[tex]x^2+y^2 = 3y[/tex]
Hence, r = 3sinA is written in rectangular form as [tex]x^2+y^2 = 3y[/tex].
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a spinner has 8 congruent sectors: 6 yellow and 2 green. the radius of the spinner is 5cm. what is the area of the yellow sector.
Area of the yellow sector is 58.91 cm2
The spinner has a circular shape and would be solved as a circle.
Area of a circle = pi r^2
= 3.142 * 5^2
= 78.55 cm2
The circle is divided into 8
78.55 / 8 = 9.8188
Area of 6 parts = 6 * 9.8188
= 58.9128 cm2
step by step
short answer please
Convert 85 miles per hour to meters per second. (Use 1.61 km = 1 mile)
show the steps
Answer:
38.0 m/s
Step-by-step explanation:
Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.
__
[tex]\dfrac{85\text{ mi}}{1\text{ h}}\times\dfrac{1.61\text{ km}}{1\text{ mi}}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}[/tex]
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 14 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?
Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex]z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.
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