Answer:
Below
Step-by-step explanation:
The exterior angles for any polygon sum to 360 °
so
6 * n = 360 ° <===== where 'n' is the number of sides
n = 60 sides
Compare the rates to find which is greater.
45 points in 36 hours or 18 points in 15 hours
The unit rate for 45 points in 36 hours is
rate for 45 points in 36 hours is
18 points in 15 hour is greater than 45 points in 36 hours.
What is unit rate?The unit rate compares a certain number of units of one quantity to units of another quantity. In other words, the second quantity in the comparison is always 1.
45 points in 36 hours and 18 points in 15 hours.
Points per hour
45 points in 36 hours is given by,
[tex]\frac{45}{60} =1.25[/tex] points.
18 points in 15 hours is given by,
[tex]\frac{18}{15}[/tex] = 1.2 points.
On comparing these points 1.2 > 1.25.
Hence, 18 points in 15 hour is greater than 45 points in 36 hours.
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a triangle has ___ , ___ and ____ .
Use an appropriate modification of the law of cosines to find the angle in degrees. assign the result to q4.
A triangle has three sides, three angles, and three vertices (also known as corners).
What is a Triangle?A triangle is a geometric shape that consists of three line segments that connect three non-collinear points.
Each of these line segments is called a side of the triangle. The three points where these sides meet are called the vertices (singular: vertex) of the triangle.
The triangle also has three interior angles formed by its sides. These angles are located inside the triangle, and their sum is always equal to 180 degrees.
In summary, a triangle is defined by its three sides, three angles, and three vertices.
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Help MEEE I HAVE UNTIL TOMORROW
The actual width and length of the bedroom are respectively; 9 ft and 12 ft
How to interpret Scale Drawing?The parameters are given as;
Width of house = 30 feet = 360 inches
Length of house = 45 feet = 540 inches
Scale drawing width of house = 4 inches
Scale drawing length of house = 6 inches
Thus;
Scale factor width = 360/4 = 90
Scale factor length = 540/6 = 90
Scale drawing width of bedroom = 1.2 inches
Scale drawing length of bedroom = 1.6 inches
Thus;
Actual width of bedroom = 1.2 inches * 90 = 108 inches or 9 ft
Actual length of bedroom = 1.6 inches * 90 = 144 inches or 12 ft
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What is the solution to the equation?
2(x + 7) 2/3 = 8
Answer: x = -1
Step-by-step explanation:
simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there
The Tour de France is a 2,235 mile long distance bicycle
race that goes through all of France. So far, Haley has
ridden fifteen miles of one mostly uphill stage of the Tour
de France. She rides thirteen miles per hour during this
stage.
Define units for the additional time Haley rides and
the distance Haley rides.
1. How far will Haley have ridden after an additional 120
minutes?
2. Haley grabs a new water bottle from volunteers after six
hours. How far has she traveled?
Enter a variable for the additional time Haley rides and
use this variable to write an expression for the
distance Haley rides.
Quantity Name
Unit
Question 1
Question 2
Expression
Additional Time Distance Haley
Haley Rides
Rides
hours.
miles
2
6
Answer:
Step-by-step explanation:
Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)
Center (−3, 2); passes through (−6, −6)
An equation of the circle that satisfies the given condition is (x+3))^2 + (y - 2)^2 = 73
Finding an equation of a circleThe formula for finding the equation of a circle is expressed as:
(x-a)^2 + (y - b)^2 = r^2
Determine the value of r^2 using the distance between two points
r^2 = (-6-2)^2 + (-6+3)^2
r^2 = 64 + 9
r^2 = 73
Given the centre (a, b) as (-3, 2), the equatio of the circle will be;
(x-(-3))^2 + (y - 2)^2 = 73
(x+3))^2 + (y - 2)^2 = 73
Hence the equation of the circle is (x+3))^2 + (y - 2)^2 = 73
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Of the 125 persons applying for a certain job at data processing center,79 had previous work experience and 62 had college degree, while 38 has both work experience and college degree.
i)How many applicants did not have college degree
ii)how many applicants did not have experience
iii) how many applicants had college degree but no experience
iv)how many applicants had either college degree or experience but not both
1. the number ( of people without college degree ) = 125 - (24 +38)= 63
2. number of people without experience ) = 125- ( 41+38) = 46
3. number ( of applicants with college degree but no experience) = 24
4. n( of applicants with either college degree or experience) = 24+41 + 38 = 103
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
number of people that have previous work experience only) = 79-38 = 41
number ( of persons that have college degree only) = 62- 38 = 24
1. the n( of people without college degree ) = 125 - (24 +38)= 63
2. n( of people without experience ) = 125- ( 41+38) = 46
3. n( of applicants with college degree but no experience) = 24
4. n( of applicants with either college degree or experience) = 24+41 + 38 = 103
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Find an equation of the line. Write the equation using function notation.
Through (5,1); perpendicular to 9y = x - 18
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]9y=x-18\implies y=\cfrac{x-18}{9}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{9}}x-2\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{1}{9}} ~\hfill \stackrel{reciprocal}{\cfrac{9}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{9}{1} \implies -9}}[/tex]
so we're really looking for the equation of a line whose slope is -9 and it passes through (5 , 1)
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ - 9 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{- 9}(x-\stackrel{x_1}{5}) \\\\\\ y-1=-9x+45\implies {\Large \begin{array}{llll} y=-9x+46 \end{array}}[/tex]
An auto maker is interested in information about how long transmissions last. A sample of transmissions are run constantly and the number of miles before the transmission fails is recorded. The auto maker claims that the transmissions can run constantly for over 150,000 miles before failure. The results of the sample are given below.
1) From Given output confidence level, is 95% level of significance = 1-0.95
10.05
How to calculate the value2) null hypothesis : M = 150000
=
3) Alternative hypothesis Ha: [M> 150000]
4) since P value = 0.033 is less than d=0.05 Reject null hypothesis.
5) There is sufficient evidence to conclude that the mean life of transmissions is over 1500 comity
6) 95% CI = â ± E
-1519±1.129
=(151.2-1.129, 151.2+1.129)
=(150.071, 152.329)
7) Since M=150 fall out side of the C. We Shoul retect null hypothesis.
8) The null hypothesis value fall outside of the Confidence Interval.
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Select the correct answer.
A right triangle C B A with lengths of sides as follows: C B is the wall of length equals 12 feet; A C is the ladder of length equals 13 feet. Right angle is at B.
According to the diagram, a 13-foot ladder leans against a 12-foot wall. The distance from the base of the ladder to the base of the wall is 5 feet. Based on this information, which trigonometric ratio has the value
?
A.
tan C
B.
cos C
C.
tan A
D.
sin A
Reset Next
Trigonometric Ratios: Mastery Test
©
Answer:
Option A
Step-by-step explanation:
A = opposite/hypotenuse = 12/5
I don't really have anymore explanation I could give you because that just what I could think of!
Answer: I think D. Sin A…..
Step-by-step explanation: hope this helps:)
show that the following function are continuos and discontinuos
A.(f×)={×+1 ,for×less than or equai to 2
{ 2×–1 ,for 1<×<2
{×–1 ×<1
f(x) is discontinuous.
Since LHS ≠ RHS ≠ f(x).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = x + 1, for x ≤ 2
f(x) = 2x - 1, for 1 < x < 2
f(x) = x - 1, for x < 1
Now,
A x = 1
LHS of f(x) = [tex]\lim_{x\to1^-}[/tex] f((h - 1)) = [tex]\lim_{h \to 0}[/tex] (h - 1 - 1) = 0 -2 = -2
RHS of f(x) = [tex]\lim_{x\to1^+}[/tex] f(h + 1) = [tex]\lim_{h \to 0}[/tex] (2(h + 1) - 1) = 2h + 2 - 1 = 0 + 1
f(1) = x + 1 = 1 + 1 = 2
We see that,
LHS ≠ RHS ≠ f(x)
So,
f(x) is not continuous, it is discontinuous.
Thus,
f(x) is discontinuous.
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The complete question.
Show that the following functions are continuous or discontinuous at x = 1.
f(x) = x + 1, for x ≤ 2
f(x) = 2x - 1, for 1 < x < 2
f(x) = x - 1, for x < 1
The 8 red markers in a box account for 4% of all markers in the box. How many markers are in the box?.
Answer: 32
Step-by-step explanation: divide 8 into 4/100
Kcf
Keep change flip
Keep the 4/100 change the division sign to multiplication then flip the 8 to 8/1 then just multiply across.
What is the value of w in the solution to the following system of linear equations?.
The value of 'w' in the solution of the following system of linear equations is -[tex]\frac{1}{6}[/tex]
we can solve for a variable say 'v' then put the value of 'v' in the other equations and solve them for the value of 'w'
5v + 4w = 1
5v = 1 - 4w
v = [tex]\frac{1-4w}{5}[/tex]
now, when we put the value of 'v' in the second equation, we get:
3([tex]\frac{1-4w}{5}[/tex] ) - 6w = 2
3([tex]\frac{1-4w}{5}[/tex] ) = 2 + 6w
[tex]\frac{3-12w}{5}[/tex] = 2 + 6w
3 - 12w = 10 + 30w
-42w = 7
w = [tex]\frac{7}{-42}[/tex]
w = -[tex]\frac{1}{6}[/tex]
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To build a new skate park, a community board must have at least 50% of the voters agree to the build. At a recent voters meeting, 125 voters were asked if they would vote for the new skate park and 72 responded yes. Should the community board go ahead and start planning the park?
No, they should not plan for the skate park because the sample had about 42.4% people vote no.
No, they should not plan for the skate park because the sample had about 57.6% people vote no.
Yes, they should plan for the skate park because the sample had about 42.4% people vote yes.
Yes, they should plan for the skate park because the sample had about 57.6% people vote yes.
The solution is Option D.
The skate park should be build as the percentage of votes was 57.6 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage of votes be represented as A
Now , the skate park will be built if the percentage of votes is greater than 50 %
Now , the total number of voters = 125 voters
The number of voters who responded to building the park = 72 voters
Substituting the values in the equation , we get
A = ( number of voters who responded to building the park / total number of voters ) x 100
On simplifying the equation , we get
A = ( 72 / 125 ) x 100
A = 0.576 x 100
A = 57.6 %
And , A > 50 %
Therefore , they should plan for the skate park because the sample had about 57.6% people vote yes
Hence , the percentage of votes is 57.6 %
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If the x-values are equal for two points, then the two points are on a ____ line
If a line has two points with the same x-value, then the two points are on a vertical line.
What type of line we have here?So we know that we have some kind of a linear equation, such that in two points on the line we have the same x-value.
Then we can write these two points like (x₁, y₁) and (x₁, y₂). If the x-value is the same one, then we have a line of the form:
x = x₁
Which is a vertical line, then that is the correct answer.
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Look at the inequality below.
−6 ≥ 13 + 5×
Which of these values of x makes the inequality true?
A -3.9
B -1.2
C -7/15
D 3/13
Answer:
a -3.9
Step-by-step explanation:
Subtract 13 from both sides which makes it -19 > 5x. then divide by 5 on both sides
The sum of one and six times a number is 151. What is the number?
This is a word problem and the value of the unknown number is equal to 25
Word problems in mathematicsWord problems are mathematical problems which involves the use of ordinary words, instead of mathematical symbols.
Let us represent the unknown number with the letter x so that we derive the equation;
1 + 6x = 151
we subtract 1 from both sides of the equation
1 - 1 + 6x = 151 - 1
6x = 150
divide through by the coefficient of x which is 6
6x/6 = 150/6
x = 25
Therefore, the value of the unknown number for the word problem is equal to 25
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A radioactive element decays by 40% every year. A scientist started an experiment with 5 grams of the radioactive material. Write a function that models the amount of radioactive material remaining after x years.
The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.
What is Exponential function?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
here, we have,
An exponential function is in the form:
y = abˣ
where y,x are variables, a is the initial value and b is the multiplicative factor.
Let y represent the amount of substance remaining after x hours. Hence:
a = 9375, at x = 4, y = 15:
15 = 9375(b)⁴
b = 0.2
y = 9375(0.2)ˣ
For the 7th hour, x = 7:
y = 9375(0.2)⁷
= 0.12
The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.
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A. SSS
B. Neither
C. SAS
#
Copyright © 2003-2023 International Academy of Science. All Rights Reserved.
These triangles
are congruent by
the triangle
congruence
postulate [? ].
The congruence theorem that justifies the congruence of the two triangles is given as follows:
A. SSS.
What is the SSS congruence theorem?
The Side-Side-Side (SSS) congruence theorem states that three sides of a triangle are equivalent to the corresponding three sides of the another triangle, then the two triangles are said to be congruent by SSS rule.
In this problem, we have that:
The | and || sides are equivalent.The bisection belongs to both triangles.Hence the triangles are congruent by the SSS postulate and the correct option is given by option A.
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What fraction of an inch is 1 millimeter? Show reasoning
The fraction of an inch in 1 millimeter is given by 1mm = 0.03937008 inches.
How to convert inch to millimeter?One inch is equivalent to 25.4 millimeters internationally.
Expressing this relationship as a formula is as follows.
1 inch = 25.4mm
This official, standardized measurement has been used in international records since 1959.
Both inches and millimeters are units of measurement. Inches belong to the British system of units, and millimeters belong to the metric system of units.
Inches are used in the United States, but it is often necessary to convert this unit of measurement to a metric unit of measurement, such as "millimeters." for scientific purposes. Conversely, there are 0.0393700787402 inches in millimeters.
Thus , the fraction of an inch in 1 millimeter is given by 1mm = 0.03937008 inches.
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If the scale factor of figure A to figure B is 3:8 find x
Name one pair of congruent sides. A. Segments PR and SV B. Segments QR and ST C. Segments RP and TS D. Segments PQ and VS
Answer:
Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.
#1 Congruent Angle
#2 Congruent Sides
#3 Side Angle Side
I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification
please help me with this!!
In this equation, the regular polygon's area is 72.5.
How is the area of a regular polygon determined?The area of a regular polygon is determined by multiplying its perimeter by its apex. The following is a common way to write the formula: An apothem's area is equal to 1/2(ap), where a denotes the length and p the circumference. Area of pentagon = 1/2 p an is the fundamental formula for computing the area of a regular pentagon, where p stands for the pentagon's perimeter and a for its apothem.
A regular polygon is exactly what?If a polygon has equal sides and angles, it is considered to be regular. As a result, an equilateral triangle is a regular triangle, and a square is a regular quadrilateral.
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A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1700 seats. The students left 1037 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 39%
Step-by-step explanation:
using calculator
1 seat = 0.058%
1700 - 1037 = 663 seats are taken.
0.058% x 663 seats = 39%
Points B and D are on the perpendicular bisector of ^ABC. The measure of
The measure of angle ABC in the figure of triangle attached is
< ABC = 46 degreesWhat are perpendicular bisectors?In geometry, a perpendicular bisector is a line or line segment that divides another line segment into two equal parts and is perpendicular to it.
From the definition of perpendicular bisector, we have that
< A = < C
and using triangle ABD
< A + < ABD = 90
< A + 28 = 90
< A = 90 - 28
< A = 62
Using triangle ABC
< A + < ABC + < C = 180
62 + < ABC + 62 = 180
< ABC = 180 - 62 - 62
< ABC = 56
OR
< ABD = < DBC = 28 degrees
and < ABC = < ABD + < DBC adjacent angles
< ABC = < ABD + < DBC
< ABC = 28 + 28
< ABC = 56 degrees
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complete question
The perpendicular bisector of side AB of triangle ABC intersects the extension of side AC at D. Find the measure of angle ABC if measurement of angle CBD=16 degrees and measurement of angle ACB=118 degrees
O REAL NUMBERS
Signed fraction multiplication: Basic
Multiply.
(-9) (-7/3)
Write your answer in simplest form.
Answer:
21
Step-by-step explanation:
(-9)([tex]-\frac{7}{3}[/tex]) = 63/3 = 21
A family of 5 went to a matinee movie on a Saturday afternoon. The movie tickets for the matinee were a special
price for each person. The family spent a combined $25 at the concession stand on drinks and popcorn. Altogether,
the family spent $57.50 at the movies.
a. Draw a tape diagram to represent the situation above. Then write an equation.
b. How does the tape diagram help you understand how much the special price was?
The tape diagram helped to understand by that we can subtract the combined $25 at the concession stand from the total and divide it by 5.
What is a tape diagram?A tape diagram is a rectangular visual model resembling a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication. It is also known as a divided bar model, fraction strip, length model or strip diagram.
Given that, a family of 5 went to a matinee movie on a Saturday afternoon. The movie tickets for the matinee were a special price for each person. The family spent a combined $25 at the concession stand on drinks and popcorn. Altogether, the family spent $57.50 at the movies.
By using the tape diagram we get an equation,
5x+25 = 57.50
5x = 32.5
x = 6.5
Therefore, the special price for each person was $6.5
The figure is attached
Hence, the tape diagram helped to understand by that we can subtract the combined $25 at the concession stand from the total and divide it by 5.
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Is 2/3 equal or bigger than 1/2
Answer: 1/2 is
Step-by-step explanation:
If a seed is planted, it has a 95% chance of growing into a healthy plant.
If 7 seeds are planted, what is the probability that exactly 4 don't grow? Round answer to 4 decimal places.
The probability that exactly 4 out of 7 seeds planted do not grow is 0.0007 (approximately), given that each seed has a 95% chance of growing into a healthy plant.
Calculating the probability of a specific outcome using the binomial distribution formula.The probability that a seed doesn't grow is 1 - 0.95 = 0.05.
To calculate the probability that exactly 4 seeds don't grow out of 7, we need to use the binomial distribution formula, which is:
P(X=k) = C(n, k) * [tex]p^k[/tex] * [tex](1-p)^{(n-k)}[/tex]
where:
X is the random variable representing the number of seeds that don't grow.
k is the specific number of seeds that don't grow (in this case, k=4)
n is the total number of seeds planted (n = 7)
p is the probability that a seed doesn't grow (p=0.05)
C(n,k) is the number of ways to choose k items out of n, also known as the binomial coefficient.
Plugging in the values, we get:
P(X=4) = C(7,4) * 0.05⁴ * 0.95³
= 35 * 0.00000625 * 0.857375
= 0.0006522
Rounding to four decimal places, the probability that exactly 4 seeds don't grow is 0.0007 (approximately).
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HELP ASAP!!! WILL MARK BRAINIEST
The value of the network density is 0.9
How to determine network density?
Since the potential connections (PC) formula is n(n-1)/2 and number of nodes is 5 (i.e. n = 5). We have:
PC = n(n-1)/2
PC = 5(5-1)/2
PC = (5*4)/2
PC = 20/2
PC = 10
Actual connection (AC) = 9
Network Density = AC/PC
Network Density = 9/10
Network Density = 0.9
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