We know that the sum of all the interior angles of the polygon with sides n is (n - 2)*180.
It is given in the question that,
Sum of all the interior angles of the polygon is 800.
Hence, according to the data given in the question, we can write,
(n - 2)*180 = 800
n - 2 = 800/180
n - 2 = 40/9
n = 40/9 + 2
n = 58/9 = 6.44
As number of sides should always be in integer form, it is not possible to have the sum of all the interior angles of the polygon to be 800 degrees.
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Barney just bought stock in Purple Dinosaur Industries. He paid a total of $7,380. The price of the stock is $12 for one share. How many shares did he buy?
The number of shares he buy is $615.
Given that Barney just bought stock in Purple Dinosaur Industries and he paid a total of $7,380 and the price of the stock is $12 for one share.
We want to find the number of shares Barney buys.
The total amount barney should pay is $7380.
The price of the stock for one share is $12.
The total number of shares barney buy is 7380/12=615.
Hence, the number of shares barney should buy when he paid a total $7380 and the price of stock for one share is $12 is $615.
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Show me how to graph this by using key points step by step please and I will give you brainliest!
g(x)=log(6-3x)+1
Answer:
136-5x
Step-by-step explanation:
The table of ordered pairs (x, y) gives an exponential function.
Write an equation for the function.
X
-1
0
1
2
y
1
3
2
12
72
The equation for the function of the ordered pair is y =10x+2.
What is equation for the function?
An equation that has one solution for y for each value of x is referred to be a function. For each input of a particular type, a function assigns precisely one output. The names f(x) or g(x) are frequently used in place of y when naming functions. If our function's value is f(2), then we should calculate its value when x=2. Each functional equation contains some information about a function or several functions. An illustration of a functional equation is f (x) f (y) = x y, f(x) f(y) = x y.
Here in given order pair , let us take any two points,
[tex](x_1,y_1)=(0,2)\\(x_2,y_2)=(1,12)[/tex]
Now using slope formula,
=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> slope m =10/1 = 10
Now using equation formula,
=> [tex]y-y_1=m(x-x_1)[/tex]
=> y-2 =10(x-0)
=> y-2 = 10x
=> y=10x+2.
Therefore equation of the following order pair is y = 10x+2.
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What fraction of their goal did the sixth graders reach after day 2? day 4? day 6? day 8? day 10?
The fractions of sixth graders that reached their goal after each day are given as follows:
Day 2: 1/4.Day 4: 1/3.Day 6: 1/2.Day 8: 2/3.Day 10: 3/4.What is a fraction?A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:
Fraction = x/y.
In which the technical terms related to x and y are as follows:
x, which is the top term of the fraction, is the numerator.y, which is the bottom term of the fraction, is the denominator.The fraction can be represented by bars, in which:
The number of painted bars is the numerator.The total number of bars is the denominator.As shown by the image at the end of the answer, the fractions are given as follows:
Day 2: 1 out of 4 bars painted, hence the fraction is of 1/4.Day 4: 1 out of 3 bars painted, hence the fraction is of 1/3.Day 6: 1 out of 2 bars painted, hence the fraction is of 1/2.Day 8: 2 out of 3 bars painted, hence the fraction is of 2/3.Day 10: 3 out of 4 bars painted, hence the fraction is of 3/4.Missing InformationThe image is given at the end of the answer.
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Please help geomatry 9th grade
The statements that are a result of corresponding parts of congruent triangles being congruent are:
EFGH has four congruent sidesDiagonal FH is perpendicular to side FEAngle FEH is congruent to angle FGHWhat is an isosceles triangle?An isosceles triangle is a type of triangle with two equal sides and angles. The other types of triangle includes;
Equilateral triangleRight angle triangleScalene triangleFrom the figure;
Sides EFGH are congruent, that is, equal
Since Sides EFGH are congruent, it can not be a rectangle, it is a square.
Triangle FGH and FEH are both isosceles triangle.
Diagonal FH bisects triangle FGH and FEH
So therefore, the isosceles triangle FGH and FEH are congruent and bisected by diagonal FH.
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a four-digit number uses each of the digits 1, 2, 3, and 4 exactly once. what is the probability that the number is a multiple of 4? express your answer as a common fraction.
The probability that the number is a multiple of four is 0.25.
we know that if a number is multiple of four then its last 2 digits must be divisible by four.( i.e. ten's and one's places)
We are given only four numbers 1,2,3,4 , which can't be repeated.
So here , in this case , such numbers with last two digits divisible by four are 12,24 and 32 only
Having last two digits ‘12’ ;
the first two digits can be formed using 3 and 4 only . This can be done in (2!) = 2 ways.
Similar case will be happening with 24 and 32 as well.
So the total ways of getting a multiple of four will be = 2 + 2 + 2
= 6 ways
Now total numbers that can be made from given four digits = [tex]P_{4} ^{4}[/tex]
= 24
So the probability of getting a multiple of four is = 6/ 24
= 0.25
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help meeeeee pls bro
The proof below may or may not be correct. If the proof is incorrect, determine the
first step number that is not justified and the reason it is not justified.
Answer:
Step-by-step explanation: step 5
they have not proved the ASA postulate i.e. they the are missing a step to proove angle BEF = angle CED (Verticle angles)
so, correct answer is step number 5 and reason 'missing prior step'
We write numbers using only the digits 1,3,6 and 9 and arrange them in order. Our list begins 1,3,6,11,13,16,19,31,33 and so on. How many numbers do we write which are smaller than 2022?
Step-by-step explanation:
you made a typo.
since we are using only the digits 1, 3, 6 and 9, the list has to start
1, 3, 6, 9, 11, 13, 16, 19, 31, 33
it has to continue with
36, 39
we can skip the 40s and 50s and have then
61, 63, 66, 69
we can skip the 70s and 80s and have then
91, 93, 96, 99
that means we have 20 (5×4) numbers for the first 100.
we would have the corresponding 20 numbers in the 100s. like 101, 103, ...
but we have to skip 101, 103, 106, 109, because they contain 0.
so, it is only 16 numbers in the 100s.
there are none in the 200s.
then again 16 in the 300s. and the 600s and 900s.
so, we have
20 + 4×16 = 84 numbers in the first 1000.
then we have
16 in each the 1100s, the 1300s, the 1600s and 1900s.
and we have none in the 2000s.
so, in total we have
84 + 4×16 = 84 + 64 = 148 numbers to write.
Simplifique la siguiente expresión.
(3²) 4.3³.
The record for the most hot dogs eaten is 73 hot dogs in 10 minutes. one hot dog and bun has a mass of 85 g. how many kg of hot dogs did the record-holder eat?
The record-holder ate 6.205 kilograms of hot dogs.
How do you prove that?We are given that 73/10 hotdogs per minute is the record for the most hot dogs eaten and one hot dog and bun has a mass of 85 grams. Also, one kilogram is equal to 1,000 grams. Solving this problem would involve converting units.
In order to find out how many kilograms of hot dogs the record holder ate, we first need to convert 85 grams to kilograms. Since a kilogram is equal to 1,000 grams, 85 grams = 85 / 1,000 = 0.085 kilograms.
Then, we multiply 0.085 by 73 to get 6.205. We can conclude that the record-holder ate 6.205 kilograms of hot dogs.
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Select the two values of x that are roots of this equation. 2x2 – 11x + 15 = 0
A.x=3
B.x=6
C.x=5
D.x=5/2
The two values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)
What is a Quadratic equation ?
A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.
The given expression is ,
2x²– 11x + 15 = 0
Solve the equation and find roots
2x² - 6x - 5x + 15 = 0
Take common elements out
2x(x - 3) - 5(x - 3) = 0
we get the brackets same that means we're on right way,
(2x - 5) (x - 3) = 0
split the values into two and find values,
2x - 5 = 0 and x - 3 = 0
2x = 5 x = 3
x = 5 / 2
Hence, the values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)
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The sum of the angle measures of any triangle is 180°. Find the angle measures of a triangle if the second angle measures 7° less than twice the first, and the third angle measures 19° more than the second.
Answer:
first angle =35
second angle=63
third angle=82
the tiny country of fremont has a population of 100,000 people. in 2009, there were 2,000 births, 500 deaths, 200 emigrants, and 100 immigrants. what is the population growth rate (r) for 2009?
The population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.
Describe the term population growth rate (r)?The population growth rate (r) shows how fast a population ages over time. A population is growing if the growth rate is positive. A negative growth rate signals a declining trend. A birth rate (b) and mortality rate are the two primary elements that influence population increase (d). People leaving the population to move to another territory or immigrating from a different region may also have a consequence on population increase (emigration, e).All these elements are taken into account when formulating the population growth formula.
r = [(b + i) - (d + e)]/1000
r = population growth rateb = birth rate; 2,000i = immigration rate; 100d = death rate; 500e = emigration rate; 200Put the values in the formula.
r = [(2,000 + 100) - (500 + 200)]/1000
r = 2100 - 700/ 1000
r = 1.4
Thus, the population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.
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Help me find the slop for question 1 and 2 ill give credit
The slopes of the given lines are:
1. 2/5.
2. -1.
How to Find the Slope of a Line?If a line passes through points on a graph, [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the formula that can be employed to find the slope of a line is given as:
Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
1. Using two points on the line, (3, 1) and (-2, -1):
Slope of the line = m = (-1 - 1)/(-2 - 3)
Slope of the line (m) = -2/-5
Slope of the line (m) = 2/5
The slope of the graph is 2/5.
2. Using two points on the line, (-3, 2) and (2, -3):
Slope of the line = m = (-3 - 2)/(2 -(-3))
Slope of the line (m) = -5/5
Slope of the line (m) = -1
The slope of the graph is -1.
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Approximately how many feet tall is the streetlight
Answer:
H = 30 ft
Step-by-step explanation:
Since the triangle is 90 degrees and we have to find out how tall the streetlight is we have to subtract 90 and 40 degrees. Which we get 50 degrees, after we subtract 20 from the 50 degrees. So we get 30 ft or 30 degrees.
I need the abswer to 20005+56258
76263
Step-by-step explanation:
[tex] \: \: \: 20005[/tex]
[tex] + 56258[/tex]
___________
[tex] = 76263[/tex]
2(1 + 2k)
Simplify the expression... HELP
Answer:
2+4K
Step-by-step explanation:
distribute the 2
2(1+2k)
2(1)+2(2k)
2+4K
Hopes this helps please mark brainliest
find the missing length
21 is missing length of parallel lines.
What is an example of parallel lines?
In terms of geometry, parallel lines are two separate lines that never cross each other and are located in the same plane. They may be vertical or horizontal. In our daily lives, parallel lines can be seen in the form of zebra crossings, rows of notebooks, and the nearby railroad tracks.Because lines are parallel
so they cut into equal proportion
then , 4/10 = x/15
4 * 15/10 = x
x = 6
length of line = 15 + 6 = 21
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what is the factored form 8g^2+6g-9
Answer:
A.
Step-by-step explanation:
help is needed please and thank you
The required value of g(-4) = 1 in the given function is represented in the shown graph.
What is a graph?A graph can be defined as a visual representation or a diagram that represents data or values.
The function is given in the represented graph of g(x)
We have to determine the value of g(-4) of the given function in the graph
According to the given graph, we can see that the value of the domain of the given function g(x) when the value of variable x is -4 when the value of the variable y is 1. this means the value of g(-4) = 1.
Therefore, the required value of g(-4) = 1 in the given function is represented in the shown graph.
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Help please i beg of you guys.
Answer: Answer B: m angle 5 = 152 because m angle 2 = m angle 5
Step-by-step explanation: im in 8th grade math in 7th grade
how many whole numbers lie between
[tex] \sqrt{8} \: and \: \sqrt{80} [/tex]
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.
The scale factor in the simplest form of a fraction of the triangles will be 43/78.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
The triangle on the right is a scaled duplicate of the triangle on the left.
The ratio of the side of a big triangle to the side of a small triangle. Then we have
Scale factor = 43 / 78
The scale factor in the simplest form of a fraction of the triangles will be 43/78.
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Charlie wants to solve the equation -1/4(x-1) =2/3 x +2. Which step would not be an appropriate first step for Charlie to take to solve for x?
The first step Charlie should use to solve the equation will be to open the bracket on the left side of the equation.
How to solve an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
The equation Charlie wants to solve can be calculated as follows:
-1/4(x - 1) =2/3 x +2
The first step would be to open the parenthesis on the left side of the equation as follows:
-1/4(x - 1) =2/3 x +2
- 1 / 4 x + 1 / 4 = 2 / 3 x + 2
Let's subtract 1 / 4 from both sides of the equation
- 1 / 4 x + 1 / 4 = 2 / 3 x + 2
- 1 / 4 x + 1 / 4 - 1 / 4 = 2 / 3 x + 2 - 1 / 4
- 1 / 4 x = 2 / 3 x + 7 /4
subtract 2 / 3 x from both sides of the equation.
- 1 / 4 x = 2 / 3 x + 7 /4
- 1 / 4 x - 2 / 3 x = 2 / 3 x - 2 / 3 x + 7 /4
- 11 / 12 x = 7 / 4
cross multiply
-44x = 84
divide both sides by - 44
x = 84 / -44
x = - 21 / 11
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A dilation with scale factor 0.25 is performed on triangle 1 to produce triangle 2. Which statement MUST be true about the two triangles?
O Their corresponding sides have equal lengths, and their corresponding angles have equal measures.
• Their corresponding sides are parallel, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.
O Their corresponding sides are parallel, and their corresponding angles have equal measures.
O Their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.
The correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.
What is property of similar triangle?
If the corresponding sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are similar.
They have parallel corresponding sides, and they have angles with the same measure.
hence, the correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.
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How do you solve #22?
What is the equation of the line containing the points (5, 2), (10, 4), and (15, 6)?
A. y = 2/5x
B. y = x - 3
C. y = 1/5x + 1
Answer: A
Step-by-step explanation:
3. Consider the right triangle below in which a = 5 and b = 5.
A. Use the Pythagorean Theorem to solve for c.
Show your work!
B. What is the value of c rounded to the nearest hundredth?
C. What is the value of c in simplified radical form?
Answer:
Consider the right triangle below: State the Pythagorean Theorem as it relates to the above triangle. List the trig identities as they relate to the triangle above. Now suppose hypotenuse C represents a vector R, while sides B and A represent vector components Rx and Ry respectively. Redraw the triangle with the new labels below. Using Pythagorean Theorem, derive the equation for R.
how could we determine the input value of t when W(t)=15 and the rule for function w is 2t+5