The area of the polygon will be equal to 58.1 square units.
What is an area of a polygon?A polygon's area is the region that it occupies. Polygons can be both regular and irregular in shape. Triangles, squares, rectangles, pentagons, hexagons, and other basic polygons are used in geometry. Each of these polygons has its own area.
A pentagon is a given polygon. The apothem is the perpendicular line drawn from the octagon's midpoint to the base of one of its sides.
The formula for determining the area of a regular polygon is expressed as
Area = a² × n × tan 180/n
Where n represents the number of sides of the polygon.
n = 5
Area = 4² × 5 × tan(180/5)
Area = 80 × tan 36
Area = 58.1 Square units
Hence, the polygon will have an area of 58.1 Square units.
The missing image is attached with the answer below.
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help 17-20 algebra 2
The index forms are solved to give:
17. 5x
18. 3x^2
19. 4
20. 2
What are index forms?Index forms are described as mathematical forms of writing numbers that are too small or too large in more convenient ways.
From the information given, we have that;
[tex]\sqrt{\frac{100x^6}{4x^4} }[/tex]
Find the square root
10x³/2x²
Divide the values
5x
[tex]\sqrt{\frac{81x^8}{9x^4} }[/tex]
Find the square root
9x⁴/3x²
Divide the values
3x²
[tex]\sqrt{\frac{64x^9}{4x^7} }[/tex]
Find the square root
8/2√x⁹/x⁷
4
[tex]\sqrt{\frac{24x^5}{6x^3} }[/tex]
√4x²
Find the square root
2
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If the area of a rectangle is given by m² + 11m + 28, write an expression to represent the perimeter.
An expression to represent the perimeter is P = 2m + 2(m² + 11m + 28)/m
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
We are given that;
The expression m² + 11m + 28
Now,
Let's assume that the length of the rectangle is "m" and the width is "n".
The formula for the area of a rectangle is A = l × w. We are given that the area of the rectangle is m² + 11m + 28, so we can write:
A = m² + 11m + 28
Substituting the formula for the area, we get:
m² + 11m + 28 = m × n
We can rearrange this equation to solve for n:
n = (m² + 11m + 28) / m
The perimeter of a rectangle is given by the formula P = 2(l + w). Substituting the values of l and w, we get:
P = 2(m + n)
Substituting the value of n, we get:
P = 2(m + (m² + 11m + 28) / m)
P = 2m + 2(m² + 11m + 28) / m
Therefore, by the given area of rectangle perimeter will be 2m + 2(m² + 11m + 28) / m
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OW has a radius of 10 mm
Right triangle XYZ is inscribed in W
XZ is a diameter of W
YZ = 16 mm
Y
X
W
Z
*not drawn to scale
What is the approximate area of the shaded portion of the diagram? (Use 3. 14 as an estimate for .)
A. 154 mm²
B. 194 mm²
C. 218 mm²
D. 234 mm²
The area of the shaded portion of the diagram is 218 mm².
How to find the approximate area of the shaded portion of the diagram?The area of the shaded portion of the diagram can be found by subtracting the area of the triangle XYZ from the the area of the circle.
Area of triangle XYZ = 1/2 * YZ * XY
YZ = 16 mm, XZ = 2 * 10 = 20 mm (XZ is the diameter of the circle)
XY = √(20²-16²) = 12 mm (Pythagoras' theorem)
Area of triangle XYZ = 1/2 * 16 * 12 = 96 mm²
Area of circle = πr²
Area of circle = 3.14 * 10² = 314 mm²
area of the shaded portion = area of circle - Area of triangle XYZ
area of the shaded portion = 314 - 96 = 218 mm²
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Complete Question
The image of the question is attached
The graph of a quadratic function has intercepts of -3 and 2 and a F-intercept of
The quadratic equation with x-intercepts of x = -3 and x = 2, with an intercept of y = -6, is given as follows:
y = x² + x - 6.
How to define the quadratic equation?A quadratic equation with roots x* and x** is defined as follows:
y = a(x - x*)(x - x**).
In which a is the leading coefficient.
Considering the x-intercepts, the roots of the function are given as follows:
x* = -3, x** = 2.
Hence:
y = a(x + 3)(x - 2)
y = a(x² + x - 6).
The y-intercept is of y = -6, meaning that when x = 0, y = -6, hence the leading coefficient a is given as follows:
-6a = -6
6a = 6
a = 6/6
a = 1.
Hence the function is defined as follows:
y = x² + x - 6.
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HELP QUICKLY PLEASEE!!!!
Answer:
Step-by-step explanation:
Answer:
(1) A
(2)C
(3)B C
Step-by-step explanation:
(1)B. base=5x17=85
C.(5x4.3)/2+3x(5x17)=10.75+255=265.75
(2) A is wrong
B. surface area=2x(3.5x8)+2x(3.5x16)+2x(8x16)=56+112+256=424[tex]cm^{2}[/tex]
(3) A. base=(15x8)/2=60[tex]mm^{2}[/tex]
B. 17x6+8x6+15x6=240[tex]mm^{2}[/tex]
C. 240+2x60=360[tex]mm^{2}[/tex]
what is 6 divided by 3 fraction form
Answer:
Step-by-step explanation:
[tex]\frac{6}{3}[/tex] = [tex]\frac{2}{1}[/tex]
Answer:
Step-by-step explanation:
What is the value of 193cm in feet
Answer:
Step-by-step explanation: the value is 633.202 ft
Jerold had $20 to spend at the
county fair. Admission was $7
and the rides cost $0.50 each.
How many rides Jerold can go on?
Answer: 26
Step-by-step explanation: if each ride costs $.50 each, and admission costs $7, you multiply .50 by 26 and get 13. After you then add $13 and $7 and that equals $20. $13 dollars Jerold can spend
If 0° ≤ Θ≤ 360°, then find angle(s) Θ.
cosΘ=-1/2
The angle Θ has these possible values:
Θ = 120º.Θ = 240º.How to obtain the angle measure?The cosine of the angle is given as follows:
cosΘ=-1/2.
The angle on the first quadrant with a cosine of 1/2 is given as follows:
60º.
The cosine is negative on the second and on the third quadrant, hence the equivalent angles are given as follows:
Θ = 180 - 60 = 120º. (to obtain the angle in the second quadrant, we subtract 180 from the angle).Θ = 180 + 60 = 240º. (to obtain the angle in the third quadrant, we add 180 to the angle).More can be learned about angle measures at https://brainly.com/question/30820033
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The total area of Pennsylvania is about 46,000 square miles. Which of the following is 46,000 expressed in scientific notation?
The number 46,000 expressed in scientific notation is 4.6 * 10^4
How to express the number in scientific notationFrom the question, we have the following parameters that can be used in our computation:
The total area of Pennsylvania is about 46,000 square miles
This means that
Area = 46,000 square miles
So, we have
Area = 4.6 * 10000 square miles
Express 10000 as 10^4
Area = 4.6 * 10^4 square miles
Hence, the expression is 4.6 * 10^4 square miles
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My sister is 16 years old. My brother says that his age minus fifteen is equal to my sister's age. How old is my brother?
Enter an equation, using b as your variable, to find how old my brother is.
The equation is
My brother is
years old.
Answer:
b-15=16
31
Step-by-step explanation:
Because if your sister is 16 and your brother is that age minus 15 that is her sister's age which means his age (variable); minus how much older: equals her age
A circular plate has a radius of 6 centimeters. What is the approximate
circumference, in centimeters, of this plate?
O 18.84
O 37.68
O 75.36
O 113.04
Answer: B) 37.68
Step-by-step explanation:
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14.
Plugging in the given radius of 6 centimeters, we get:
C = 2πr
C = 2π(6)
C ≈ 37.68
Solve the system of equations given below.
x+2y=-4
2x+3y=1
A. (14,-9)
B. (-14,9)
C. (-9,14)
D. (9,-14)
Answer:
-2{x+2y=-4}
2x+3y=1
-2x-4y=8
3y-4y=9
-y=9
y=-9
the value of x is
x+2(-9)=-4
x-18=-4
x=14
therefore { 14,-9}
Using your calculator, graph these functions and find the solution to the system.
(-4, 8)
(-2, -4) and (2, 4)
No solution: They do not intersect.
(0, -4) and (0, 8)
Help please!! 20 points and brainliest
Edit: The answer is B
(-2, -4) and (2, 4) is the solution to the given system of simultaneous equation
Solving system of equation graphically.Given the system of equation
f(x) = x^2 + 2x - 4
g(x) = -2x^2 + 2x + 8
When solving graphically, the point of intersection of both curves on an xy plane is the solution to the system of equation.
According to the graph attached, the solution to the system of equation is (-2, -4) and (2, 4).
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Answer: B
Step-by-step explanation: I took the test
what is 36.6 celsius in fahrenheit
Using the conversion formula of converting temperatures from Celsius to Fahrenheit, we get 36.6°C is 98.68°F.
Temperature is often measured using two different scales: Celsius (°C) and Fahrenheit (°F). To convert a temperature in Celsius to Fahrenheit, we use the formula °F = (°C × 9/5) + 32. In this formula, we first multiply the temperature in Celsius by 9/5 (which is equivalent to multiplying it by 1.8), and then add 32 to the result.
So for example, to convert 36.6 degrees Celsius to Fahrenheit, we plug in 36.6 for °C, and get:
°F = (36.6 × 9/5) + 32
°F = 98.68
Therefore, 36.6 degrees Celsius is equivalent to 98.68 degrees Fahrenheit. This conversion is useful for comparing temperature measurements between different regions, where different temperature scales are commonly used.
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a fraction that is the same as 5
3. Quinton started his own tutoring business and is tracking the amount of money he makes using the
function f(m) = 120m - 75, where mrepresents the number of months he has been tutoring.
a. How much money does
Quinton expect to make
from tutoring each
month?
ONL
b. How much money will he
have saved in 4 months?
c. What could the number -75 represent in this context?
a. Quinton expect to make 45 $ from tutoring each month b. he will save 405 $ in 4 month. the number -75 represent the amount deducted.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets,, and grouping can all be represented by mathematical symbol.
We are given that Quinton started his own tutoring business and is tracking the amount of money he makes using the function;
f(m) = 120m - 75,
where m represents the number of months he has been tutoring.
a. for one month
m = 1
f(1) = 120(1) - 75,
f(1) = 120 - 75 = 45
b. for 4 month
m = 4
f(4) = 120(4) - 75,
f(4) = 480 - 75 = 405
c. The number -75 represent the amount deducted in this context.
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Find the equation of a line perpendicular to -3x + y = -5 that
passes through the point (9,5).
-x-3y = -24
-3x + y = -22
y=x+8
y=-3x -5
Answer:y=-x/-+8
Step-by-step explanation:
how many if any solutions 17. y = 7x + 13
-21x + 3y = 39
The given system of equation have no solutions.
What is no solution in an equation?A linear equation is one whose variables all have degree 1.
An inconsistent pair of linear equations is a system of linear equations that cannot be solved. By comparing the coefficients of the equations in a system of linear equations, we can determine whether the system of equations has no solution. We can also infer this from the graph.
The given equations are:
y = 7x + 13
-21x + 3y = 39
Substitute the value of y from equation 1 to equation 2:
-21x + 3(7x + 13) = 39
-21x + 21x + 39 = 39
0
Hence, the given system of equation have no solutions.
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What is a predictor variable in statistics?
In statistics, a predictor variable is an independent variable that is used to predict or explain the outcome of a dependent variable.
Predictor variables are often used in regression analysis, where the goal is to model the relationship between one or more predictor variables and a response variable. Predictor variables can take on different forms, including categorical (e.g., gender, race) and continuous (e.g., age, income). The choice of predictor variables depends on the research question and the underlying theory or knowledge about the phenomenon being studied. For example, in a study investigating the relationship between physical activity and body weight, physical activity might be the predictor variable and body weight the outcome variable. The study might collect data on physical activity levels (e.g., minutes per day of moderate-to-vigorous physical activity) and body weight (e.g., BMI) from a sample of participants, and then use regression analysis to model the relationship between these variables. In regression analysis, predictor variables are typically entered into the model as explanatory variables or covariates, along with other relevant factors such as demographic or environmental variables. The goal is to identify the predictor variables that are most strongly associated with the outcome variable and to determine the direction and magnitude of the relationship. By understanding the role of predictor variables, we can gain insight into the factors that influence or predict the outcomes of interest in a given study.
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Where can I find free SAT practice tests?
There are several resources where you can find free SAT practice tests, including:
1.Official SAT Practice Tests:
2.Khan Academy:
3.Ivy Global:
4.PrepScholar
5.CrackSAT
6.Peterson's
There are several resources where you can find free SAT practice tests, including:
1.Official SAT Practice Tests: The College Board, the organization that creates and administers the SAT, offers eight official practice tests for free on their website. These tests are the most accurate representation of the real exam.
2.Khan Academy: The College Board has partnered with Khan Academy to provide free SAT practice materials, including full-length practice tests and personalized study plans based on your performance.
3.Ivy Global: Ivy Global offers a free SAT practice test with answer explanations that mimic the actual test.
4.PrepScholar: Prep Scholar offers a free online SAT practice test that closely resembles the real exam.
5.CrackSAT : CrackSAT offers a wide range of free practice tests, including SAT Subject Tests.
6.Peterson's: Peterson's offers a free online practice test that includes a score report with detailed feedback.
Remember, the more practice you have, the more prepared you'll be for the SAT. So take advantage of these free resources and practice as much as you can.
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Unit 3B Test
PART 1
Need THESE ANSWERS ASAP
Cosine is negative, we know that angle C is obtuse. Therefore, the triangle with sides 9, 15, and 19 is an obtuse triangle.
What is triangle ?
Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
To determine whether a triangle with sides 9, 15, and 19 is acute or obtuse, we can use the Law of Cosines, which relates the sides and angles of a triangle:
c^2 = a^2 + b^2 - 2ab*cos(C)
where a, b, and c are the side lengths, and C is the angle opposite side c.
In this case, we have:
a = 9, b = 15, c = 19
Using the Law of Cosines, we can solve for the cosine of angle C:
cos(C) = (a^2 + b^2 - c^2) / 2ab
cos(C) = (9^2 + 15^2 - 19^2) / (2915)
cos(C) = -0.283
Since, cosine is negative, we know that angle C is obtuse. Therefore, the triangle with sides 9, 15, and 19 is an obtuse triangle.
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The diameter of a hat is 4.7 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.
1.50 inches
7.38 inches
17.34 inches
14.76 inches
Answer:
14.76
Step-by-step explanation:
Circumference = 2πr
Substitue the values into the formula
2(3.14) (2.35)=
Multiply pi by the radius
2(7.379)= 14.758
Round the answer to the hundreths place
14.76
Select the two values of x that are roots of
this equation.
3x - 5 =-2x2
D A. X=-3
0 B. x=-3
. C. x=2
. D. x= 1
Answer: B is the answer
Step-by-step explanation:
Help with geometry right triangles word problems.
The height of the ladder is 19.939 feet
How to determine the length of the ladderFirst, we need to know the six trigonometric identities. They are;
secantcotangenttangentcosinesinecosecantFrom the information given, we have that;
The angle, θ = 65 degreesThe opposite side is the height of the ladderThe hypotenuse is 22 footThen
sin θ = opposte/hypotenuse
Substitute the values, we get;
sin 65 = h/22
Find the value
0.9063 = h/22
cross multiply
h = 19.939 feet
Hence, the value is 19.939 feet
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1 whole and 13/20 as a percentage
Answer: 165%
Step-by-step explanation:
1 whole =100% 13/20=65%
100+65=165
At a local fast food restaurant, a regular drink costs $2.25. A larger drink can be purchased for an additional $0.25 per ounce above the regular size.
If n represents the number of ounces above the regular size, which inequality shows how much can be added to the regular size for a drink that costs under $4.00?
The inequality that shows how much can be added to the regular size for a drink that costs under $4.00 is given as follows:
2.25 + 0.25n < 4.
How to model the inequality?The drink costs $2.25, plus each of the n additionals cost $0.25, hence the total cost is given as follows:
T(n) = 2.25 + 0.25n.
For a cost under $4, the cost must be less than $4, hence the inequality is given as follows:
2.25 + 0.25n < 4.
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What is the equation to this graph?
The equation of the linear function is y = -1/2x - 6
How to determin the equation of the linear functionFrom the question, we have the following parameters that can be used in our computation:
The graph
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
This means that
y = mx - 6
From the graph, we have
A unit increment in x gives an decrement of 1/2 in y
This means that
m = -1/2
So, we have
y = -1/2x - 6
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What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
The additional information required to prove that ΔXYZ and ΔFEG are congruent is ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.
Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.
When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.
∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned
XZ ≅ FG and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles
XY ≅ EF and ZY ≅ FG, is not possible.
∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.
So, the correct answer is option 1 and option 5.
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The complete question is as follows and image is given below
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
∠Z ≅ ∠G and XZ ≅ FG
∠Z ≅ ∠G and ∠Y ≅ ∠E
XZ ≅ FG and ZY ≅ GE
XY ≅ EF and ZY ≅ FG
∠Z ≅ ∠G and XY ≅ FE
Answer:
1 and 5 are correct
Step-by-step explanation:
TEXT ANSWER
Question 7
Are the sides proportional?
Set up each ratio of sides and determine if they are equal ratios. Show all of your work.
3.61 cm
R
44°
11.97 cm
9.71 cm
N
T
17.955 cm
14.565 cm
121°
M
44°
5.415 cm
Answer:
Yes.
Step-by-step explanation:
We need to make sure that we match up the right sides before checking for proportionality.
From the picture, we can see that SRT pairs with MLN.
It's easier to see if you draw a diagram of MLN on paper with the same orientation as SRT.
Were you to do this, you would see that as SR lies on the left side of SRT, so does MLN lie on the left side of ML.
Also, both ST of SRT and MN of MLN lie on the right side and RT of SRT and LN of MLN are the base.
Thus, the proportions are
[tex]\frac{SR}{ML}=\frac{ST}{MN}=\frac{RT}{LN} \\\\\\\frac{3.61}{5.415}=\frac{2}{3} \\\\\frac{9.71}{14.564}=\frac{2}{3}\\ \\ \frac{11.97}{17.955}=\frac{2}{3}[/tex]
Since all the ratios simplify to 2/3 and are equal, the sides are proportional.