The required value of x is 135° in the given polygon. which is the correct answer would be an option (A).
A polygon is given in the figure
According to the given question, the required solution would be as:
Number of sides = 8
The required value of x is the equal to measure of one Interior angle in the given polygon.
Interior angles of a polygon = (sides - 2) × 180°
In this case, the number of sides is 8
Sum of Interior angles = (8 - 2) × 180
Sum of Interior angles = (6) × 180
Sum of Interior angles = 1080°
the measure of one Interior angle = 180°/8
the measure of one Interior angle = 135°
Thus, the required value of x is 135°.
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Convert 301 kg to ponds
A pizza has a mass of 1 1/5kg. A cake has a mass of 1,300 grams Which is heavier, the pizza or the cake?
Answer:
The correct answer is: The pizza is heavier
Step-by-step explanation:
(11/5) * 10^3 = 2200 grams of pizza against 1,300 grams of cake
do you think problem solving is a skill
yes its a skill related mostly to math
Graph the line with the equation y = -1/5 x + 4.
the equation straight line y = -1/5 x + 4. of the line drawn in the picture is attached below.
What is equation straight line?
There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1).
The given equation y = -1/5 x + 4.
Here m = -1/5
and c= 4
So the plot on the graph will be as fallow.
Hence the equation of the line drawn in the picture attached below
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a) An angle is 21° more than twice its complement. Find it.
Answer:
x= 67
Step-by-step explanation:
x = 21+2×(90-x)
x= 21+180-2x
x= 201-2x
3x=201
x= 67
name 5 steps to simplify algebra expressions and to solve equations
Answer:
Step-by-step explanation:
Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction
Combine the constants
Simplify 3x2 + 5x2
Solution
Since both terms in the expression are have same exponents, we combine them;
3x2 + 5x2 = (3 + 5) x2 = 8x2
A square and a rectangle have the same perimeter.
The length of the rectangle is 4 cm less than twice
the side of the square, and the width of the rectangle
is 6 cm less than the side of the square. Find the
perimeter of each figure.
A square and a rectangle have the same perimeter, then the area of the square and the rectangle are the same.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the amount of unit squares which completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.
Let x be the side of the square,
The length of the rectangle, l = 2x - 4,
The width of the rectangle, w = x - 6,
So, we have: (2x - 4) × (x -6) = x²,
x = 2 (4 + √10)
= 14.32455 cm, it is the side of the square
14.32455 × 2 -4
=24.6491cm, it is the length of the rectangle.
14.32455 - 6
=8.32455cm, it is the width of the rectangle.
24.6481 × 8.32455 = 14.32455²
= 205.19 cm²
Thus, it means that the areas of square and rectangles are similar.
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helppppppppppppppppppppppppppppp
Answer:
f(3)=5
Or
(3,5)
Step-by-step explanation:
all you have to do is look at what y axis is on the line when x=3
And y=5
f(3)=5
Hopes this helps please mark brainliest
A cube has a side length of 120 cm what is its volume in cubic meters 100 com 1 m
Answer:
1.728 m^3
Step-by-step explanation:
120 cm = 1.20 m
V = 1.20^ 3 = 1.728 m^3
Answer:
[tex]\huge\boxed{\sf Volume = 1.728 \ m\³}[/tex]
Step-by-step explanation:
Length = l = 120 cm = 1.2 m
We know that,
Volume of a cube = Length³Volume = 1.2³
Volume = 1.728 m³
[tex]\rule[225]{225}{2}[/tex]
The path of a punted football is modeled by
16/1225 x^2+7/5+1.5
where f(x) is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.
(a) How high is the ball when it is punted?
Answer:
(a) f(x) = 1.5 ft-----------------------------
When the ball is punted the value of x is zero, therefore f(0) is:
f(0) = - 16/1225 × 0² + 7/5 × 0 + 1.5 = 1.5Answer:
1.5 feet
Step-by-step explanation:
Given function,
→ f(x) = (-16/1225)x² + (7/5)x + 1.5
Required function,
→ f(x) = f(0)
→ f(0) = (-16/1225)x² + (7/5)x + 1.5
Now the needed height is,
→ (-16/1225)x² + (7/5)x + 1.5
→ (-16/1225)(0)² + (7/5)(0) + 1.5
→ 0 + 0 + 1.5
→ 1.5 feet
Hence, the height is 1.5 feet.
Solve the formula for t.
V=6πrt+7πr^2
t=
The value of t in the equation can be express as follows:
[tex]t = \frac{V-7\pi r^{2} }{6\pi r}[/tex]
How to make a variable the subject of the formula?The subject of a formula is the variable that is being worked out. The subject of a formula is the variable which is expressed in terms of the other variables.
The variable to be worked out is t.
Therefore,
V = 6πrt + 7πr²
Therefore, let's make t the subject of the formula,
V = 6πrt + 7πr²
subtract 7πr² from both sides of the equation.
V = 6πrt + 7πr²
V - 7πr² = 6πrt + 7πr² -7πr²
V - 7πr² = 6πrt
divide both sides of the equation by 6πr
Hence,
[tex]\frac{V-7\pi r^{2} }{6\pi r}=t[/tex]
Therefore,
[tex]t = \frac{V-7\pi r^{2} }{6\pi r}[/tex]
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What do you notice???????????????/
The coordinate of the quadratic function at the intersection with the y-axis is (0, 1).
Given that,
A quadratic function is graphed with a y-intercept of 1.
What are functions?
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The graph of a quadratic function is shown, whose y-intercept is 1,
by this, we can conclude that when the quadratic function interset the y axis the coordinate of the intersection point is (0, 1).
Thus, the coordinate of the quadratic function at the intersection with the y-axis is (0, 1).
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Use the graph of the function to answer the question. A line that passes through points (-2, -2) and (2, 0).
What is the output of the function when the input is 0? Enter your answer as a number, like this: 42
Answer:
[tex]-1[/tex]
Step-by-step explanation:
Using the graph, when the input, [tex]x[/tex], is 0, the output, [tex]y[/tex] is [tex]-1[/tex].
Answer:
The output is - 1 when the input is 0.-----------------------------
Find the line with the given points (-2, -2) and (2, 0).
Find the slope:
m = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(2 + 2) = 2/4 = 1/2Use point-slope equation and one of the points:
y - y₁ = m(x - x₁) y - (-2) = 1/2(x - (-2))y + 2 = 1/2(x + 2)When x = 0, the output is:
y + 2 = 1/2(0 + 2)y + 2 = 1/2(2)y + 2 = 1y = 1 - 2y = - 16. Find the a) median and b) modal wage of 20 employees:
Wage Number of Employees
Phil.Peso 1,001-2,000 5
2,001-3,000 9
3,001-4,000 4
4,000-5,000 2
The median of the wages is class 2,001-3,000 and the modal of the wages is 2,001-3,000
How to determine the medianThe table of values is given as
Wage Number of Employees
1,001-2,000 5
2,001-3,000 9
3,001-4,000 4
4,000-5,000 2
The total frequency is
Total = 5 + 9 + 4 + 2
Evaluate
Total = 20
So, the median position is
Median = (20 + 1)/2 th
Evaluate
Median = 11.5 th
This position is located at class 2,001-3,000
So, the median is wages 2,001-3,000
How to determine the modalThe table of values is given as
Wage Number of Employees
1,001-2,000 5
2,001-3,000 9
3,001-4,000 4
4,000-5,000 2
The mode is the highest frequency of the class
The highest frequency above is 9
So, the modal is wages 2,001-3,000
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If a=3i+4j+5k and b=2i+j+7k. Find a.b
The first 15 multiples of 5 are separated into three sets X, Y and Z each comprising of 5 numbers. Find the maximum possible sum of medians of three sets.
first multiple of 5 is 5
15 th multiple is 75
now lets use arithmetic progression
common difference d is 5
first term a=5
formula:
sum=n/2[first term + last term]
n=15
sum=15/2[75+5]
=15 x 40
=600
check it
5+10+15+20+25+30+35+40+45+50+55+60+65+70+75=600
1410 - 0515 Millitary time
Answer:
1410 = 2:10PM
0515 = 5:15AM
Step-by-step explanation:
That’s The Translation
suppose a is an n × n matrix such that a2 3a in = 0. show that a is invertible
Matrix A is invertible such that A⁻¹ = - A - 3I. This is solved using the Calely Hamilton Theorem.
What does the Calely Hamilton Theorem state?This theorem says that every square matrix satisfies its own characteristic equation. In other words, the scalar polynomial
p(λ) = det(λI − σ) also holds for the stress polynomial p(σ).
It also states that The roots λ₁, λ₂........λₙ of a typical equation (aₙλₙ + aₙ₋₁ λⁿ⁻¹ + ...... a₁ λ + a₀) will indicate the nature of the Matrix A. If either of the roots of the attributes equation is 0, the matrix's determinant becomes zero. As a result, the matrix is non-invertible.
Based on the above, we know that Matrix A fulfills the qualities below::
A²+3A + I = 0
Since every square matrix fulfills its own characteristic
λ₁ + λ₂ = -3
λ₁ x λ₂ = 1 ≠ 0
This is true for any order of a square matrix. That is:
λ₁ x λ₂ x λ₃ x........ x λₙ ≠ 0
Thus
|A| = λ₁ x λ₂ x λ₃ x........ x λₙ
|A| ≠ 0 → Invertibel Matrix
A² + 3A + I = 0
I = -A² - 3A
A⁻¹ x I = A⁻¹ (-A - 3A); hence
A⁻¹ = - A - 3I
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Assume that a simple random sample has been selected and test the given claim. Listed below are the lead
concentrations in µg/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the
mean lead concentration for all such medicines is less than 15 µg/g.
3.5 6.5 6.5 5.5 19.5 7.0 12.5 20.0 10.5
Identify the value of the test statistic.
And P-value
The value of test statistic t is -2.39 and P-value is P(t₈< -2.39).
The mean and the standard deviation can be calculated from the below formulae:
Sample mean (X)= (∑xi)/n
Sample standard deviation (s)= √(∑xi- X)²/(n-1)
where, n is sample size = 9
xi= elements in sample
On calculation we get X as,
X = (3.5+6.5+6.5+5.5+19.5+7+12.5+20+10.5)/9 = 10.17
s = √(∑xi- X)²/(n-1)
= √(44.49+13.47+13.47+21.81+87.05+10.05+5.43+96.63+0.11)/8
= √36.57 = 6.04
t would represent the static, it is given by the formula,
t = (X-μ₀)/(s/√n)
where μ₀ = 15 from the data (the value we want to test)
t = (X-μ₀)/(s/√n) = (10.17-15)/(6.04/√9) = -2.39
The formula to find out P value is pv = P(t₈< -2.39)
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In a school, the ratio of books to computers is 3:7. If the school has 210 computers, how many books are In the school
Answer:
90 books
Step-by-step explanation:
B:C
3:7
X:210
210÷7=30
3*30=90
Answer:
3:7
x:210
=210(3) ÷7
=90
The answer or help with this question
Answer:
X Y
1. 2
2. 3
3. 4
This is the answer to your question
How many roots does this polynomial have x^3+4x^2-9x-36
Answer:
3
Step-by-step explanation:
You want to know the number of roots of x^3+4x^2-9x-36.
DegreeThe degree of the given polynomial is the highest exponent of x: 3. That is the number of roots the polynomial has.
There are 3 roots.
DesCartes' rule of signsThe number of sign changes among the coefficients tells you the number of positive real roots. The signs go from + to - one time, so there is one positive real root.
When the signs of odd-degree terms are switched, the signs become ...
- + + -
There are two sign changes here, meaning that there may be 2 or 0 negative real roots. (If there are 0 real roots, the two roots are complex.)
FactorsYou can see that successive pairs of terms have coefficients with the same ratio. That means you can factor this by grouping terms:
x^3+4x^2-9x-36
= (x^3+4x^2) -(9x+36)
= x^2(x +4) -9(x +4)
= (x^2 -9)(x +4)
= (x -3)(x +3)(x +4) . . . . . roots -4, -3, and +3
__
Additional comment
The graph shows you the polynomial has 3 real roots.
Can someone check if it’s correct also help me with the last one
Thanks
The perimeter of triangle ABC = 60 + 20√3 cm
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
In triangle ADB,
sin (30°) = AD/AB
1/2 = ( 10 √3 ) /AB
AB = 20√3
In triangle ABC,
cos (30°) = AB/BC
√3 /2 = 20√3 / BC
BC = 40
tan (30°) = AC/AB
1/√3 = AC/ 20√3
AC = 20
Perimeter of triangle ABC = AB +BC + AC
= 20√3 + 40 + 20
= 60 + 20√3
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2
3
0.0042
0.0013
0.8584
0.9189
5
6
7
8
9
10
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is less
than that of Spiral Wonder?
In a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder, the probability is 0.9574.
What exactly is a normal distribution?It's also known as the Gaussian Distribution. It is the most important continuous probability distribution in the world. Because the curve resembles a bell, it is also known as a bell curve.
The average time for riders to board the Twisting Thunder roller coaster is 49 seconds, with a standard deviation of 7.1 seconds.
The likelihood in a random sample of 32 is
z= (x-μ)/σ
z=(32-49)/7.1
z= -2.394
P(x32) =0.0083246 from the Z-Table
The average time to board the Spiral Wonder roller coaster is 44.8 seconds, with a standard deviation of 3.7 seconds.
In a random sample of 36, the probability is
z= (x-μ)/σ
z=(36-44.8)/3.7
z= -2.37838
P(x36) = 0.0086945 from the Z-Table
In a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder, the probability is P(x32)/P(x36)=0.0083246/0.0086945 =0.9574.
A random sample has a probability of 0.9574.
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Given a number n, for each integer i in the range from 1 to n inclusive, print one value per line as follows: • If iis a multiple of both 3 and 5, print FizzBuzz. • If iis a multiple of 3 (but not 5), print Fizz. • If iis a multiple of 5(but not 3), print Buzz. • If i is not a multiple of 3 or 5, print the value ofi. Function Description Complete the function fizzBuzz in the editor below. fizzBuzz has the following parameter(s): int n: upper limit of values to test (inclusive) Returns: NONE Prints: The function must print the appropriate response for each value i in the set {1, 2, ... n}in ascending order, each on a separate line. Constraints • 0
The program is an illustration of loops and conditional statements and the part of the complete program is
n = int(input())
for i in range(1,n+1):
if not(i%3 == 0 or i%5==0):
How to determine the program using the conditions?The program written in Python where comments are used to explain each line is as follows:
#This gets input for n
n = int(input())
#This iterates through n
for i in range(1,n+1):
#If the current number is not a multiple of 3 and 5
if not(i%3 == 0 or i%5==0):
#This prints the number
print(i,end="")
else:
#This prints "Fizz", if the current number is a multiple of 3
if i%3 == 0:
print("Fizz",end="")
#This prints "Buzz", if the current number is a multiple of 5
if i%5==0:
print("Buzz",end="")
#This prints a new line
print()
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PLease help me i willlllllllllll faillllllllllllllif someone dont
The linear equation in the list of equations is y = [tex]\frac{1}{2}x + 3[/tex]
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
A linear equation must have the highest power of the independent variable as 1.
option A and C, the independent variable x has degree 2
option D the x variable there stands for absolute values.
So only B is a linear equation since variable x has degree 1
In conclusion, the linear equation is y = [tex]\frac{1}{2}x + 3[/tex]
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You bought a new house for $195,000. You financed the house and the monthly payments are $822.13 a month for 30 years. What is the cost of the loan?
Answer:
24663.9!
Step-by-step explanation:
The required cost of the loan is given as $100,966.80.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
here,
Bought a new house for $195,000.
Financed the house and the monthly payments are $822.13 a month for 30 years.
Total money paid against the loan = 822.13 × 30 × 12
= $295,966.8
Cost of the loan = 295,966.8 - 195,000
= $100,966.8
Thus, the required cost of the loan is given as $100,966.80.
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Which graph represents the function f(x) = 4|x|?
Miguel can afford to pay $150.00 per month for a car. He has $5,000.00 saved up for a down payment. His bank is offering amortized car loans for 1.25\%% compounded monthly.
If he takes out a 7-year loan, what is the price of the most expensive car he can afford?
How much will the car cost him in total?
Answer: 7,000
Step-by-step explanation: I took the test
write a polynomial equation with integer coefficients that has the given roots
x=0
x=-5
x=4
Answer:
y = x³ +x² -20x
Step-by-step explanation:
You want a polynomial with roots x ∈ {0, -5, 4}.
FactorsWhen a polynomial has a root p, it has a factor (x -p). The three given roots mean the polynomial you want can be factored as ...
y = (x -0)(x -(-5))(x -4) = x(x+5)(x-4)
When this product is expanded, the result is ...
y = x³ +x² -20x . . . . polynomial with roots {0, -5, 4}