Answer:
Step-by-step explanation:
I think it's a or b
Answer:
a
Step-by-step explanation:
How do you find the measure of an angle in a triangle isosceles?
To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other. The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.
Determine which two sides of the triangle are equal in length (these are called the "congruent sides").
Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."
Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).
For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.
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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.
In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.
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All trapezoid are ______________________.
Answer:
quadrilaterals:))))))))))))
Step-by-step explanation:
hope it helped:))))))))))
Answer:
Quadrilaterals
Step-by-step explanation:
All trapezoids have 4 sides, quadtrilaterals are 4-sided polygons.
Hope this helped :)
The Grade 8 learners decided to start living more healthily.They will either jog or cycle.there are 125 Grade 8 learners and they jog and cycle in the ratio 3:2.calculate how many learners participate in each sport
Answer:
We can start by finding the total number of learners who participate in jogging and cycling by multiplying the ratio by the total number of learners. Let's say x is the number of learners who jog. Then, the number of learners who cycle is 2x.
The total number of learners who jog and cycle is 125, so:
x + 2x = 125
3x = 125
x = 125 / 3
x = 41.67
Since x represents the number of learners who jog, there are 41.67 learners who jog. Since the number of learners who cycle is 2x, there are 2 * 41.67 = 83.33 learners who cycle.
Since these are whole numbers of learners, we round up to the nearest whole number to get 42 joggers and 83 cyclists.
The number of students participating in each of the sports will be 75 for jogging and 50 for cycling.
Solution:
Let's assume that the number of students who participated in jogging will be 3x and those in cycling will be 2x
Given,
3x + 2x = 125
5x = 125
So, x = 25
Therefore, the number of students in jogging will be 3*25 = 75 and in cycling will be 2*25 = 50
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HELP TIIMED PLEASE HELP
what is the solution of x+4/2x-1 <0
The answer choices are a.) -4 <= x <= 1/2 b.) -4 < x <= 1/2 c.)-4<= x < 1/2 d.) -4 < x < 1/2
The solution to the inequality is x < -4
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
x+4/2x-1 < 0
Multiply both sides of the inequality
So, we have the following representation
x + 4 < 0
Subtract 4 from both sides of the expression
So, we have the following representation
x < -4
Hence, the solution is x < -4
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Jack tool out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?
Answer:
A = $32,732.58
A = P + I where
P (principal) = $25,000.00
I (interest) = $7,732.58
Step-by-step explanation:
Given data
Time= 6 years
Principal= $25,000
Rate= 4.5%
First, convert R as a percent to r as a decimal
r = R/100
r = 4.5/100
r = 0.045 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 25,000.00(1 + 0.045/12)^(12)(6)
A = 25,000.00(1 + 0.00375)^(72)
A = $32,732.58
The radius of a circle is 2 inches. What is the length of a 180
Answer:
4pi or 12.6
Step-by-step explanation:
I hope this helps
The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x − 11)2 − 56 8(x − 11)2 + 56 8(x2 − 22x + 128) 8(x2 − 22x) + 128
Answer:
8(x^2 − 22x + 128)
Step-by-step explanation:
8(x^2 − 22x + 128) Take 8 as a common factor
The equivalent expression that is most useful to find the year where the population is minimum is, 8(x-11)^2+56
What are quadratic equations?A quadratic equation is an algebraic expression of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a, b are the coefficients, x is the variable, and c is the constant term
Given an expression that represents the population from 1998 to 2018,
\(8x^2-176x+1024\)
Let,
\(y=8x^2-176x+1024\)
Which is an upward parabola,
Since, the minimum value of an upward parabola,
\(y=a(x-h)^2+k\)
is find at x = h,
From equation (1),
\(y=8x^2-176x+1024\)
\(y=8x^2-176x+968-968+1024\)
\(y=8(x^2-22x+121)+56\)
\(y=8(x-11)^2+56\)
By comparing,
The population is minimum at x = 11. ( that is after 11 years since 1998 )
Hence, the equivalent expression that is most useful to find the year where the population is minimum is,8(x-11)^2+56
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A car is 165 inches long. A truck is 65% longer than the car.
How long is the truck?
Answer:
262.25 inches
Step-by-step explanation:
65% of 165 is 107.25
107.25+165=272.25
so the truck is 262.25 inches long
Factories 5x+10
Somebody please help
Answer:
5(x+2)
Step-by-step explanation:
to factor it we need to find a common term(5) and then we take it out(divide) resulting in the answer abover
Solve the following differential equations. (1) (2xy3−excosy)dx+(3x2y2+exsiny)dy=0 (2) (y+x2−y2−2y)dx+(x+x2−y22x)dy=0
(1) The general solution to the differential equation (2xy^3 - excosy)dx + (3x^2y^2 + exsiny)dy = 0 is given by x^2y^3 - excosy + C = 0 where C represents the constant of integration. (2) For the differential equation (y + x^2 - y^2 - 2y)dx + (x + x^2 - y^2/2x)dy = 0
(1) To solve the differential equation (2xy^3 - excosy)dx + (3x^2y^2 + exsiny)dy = 0, we need to check if it is exact. We can do this by verifying if the partial derivative of the term with respect to y is equal to the partial derivative of the term with respect to x.
Taking the partial derivative of the term with respect to y, we get:
∂/∂y(2xy^3 - excosy) = 6xy^2 + exsiny
Taking the partial derivative of the term with respect to x, we get:
∂/∂x(3x^2y^2 + exsiny) = 6xy^2 + exsiny
Since the partial derivatives are equal, the differential equation is exact.
To find the solution, we integrate the term with respect to x, treating y as a constant:
∫(2xy^3 - excosy)dx = x^2y^3 - excosy + C(y)
Here, C(y) represents the constant of integration with respect to y.
Next, we differentiate the integrated term with respect to y and equate it to the term involving dy:
∂/∂y(x^2y^3 - excosy + C(y)) = 3x^2y^2 - exsiny + C'(y) = 3x^2y^2 + exsiny
From this, we can conclude that C'(y) = 0, which means C(y) is a constant.
Therefore, the general solution to the differential equation is:
x^2y^3 - excosy + C = 0
(2) To solve the differential equation (y + x^2 - y^2 - 2y)dx + (x + x^2 - y^2/2x)dy = 0, we'll follow a similar approach.
We check if the differential equation is exact by comparing the partial derivatives:
∂/∂y(y + x^2 - y^2 - 2y) = 1 - 2y - 2
∂/∂x(x + x^2 - y^2/2x) = 1 + 2x
The partial derivatives are not equal, indicating that the equation is not exact. In this case, we can use an integrating factor to make it exact.
The integrating factor is given by:
μ = e^(∫(∂/∂y - ∂/∂x)dy) = e^(∫(-1 - 2x)dy) = e^(-y - 2xy)
Multiplying the entire equation by μ, we get:
(e^(-y - 2xy))(y + x^2 - y^2 - 2y)dx + (e^(-y - 2xy))(x + x^2 - y^2/2x)dy = 0
Simplifying and rearranging, we have:
(e^(-y - 2xy))(x + x^2 - y^2/2x - y - 2xy + xy + x^3 - y^2/2)dx + (e^(-y - 2xy))dy = 0
(e^(-y - 2xy))(x^3 - 3xy + x - y^2/2)dx + (e^(-y - 2xy))dy = 0
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There were 56 birdhouses at school. Today, 4 classes made more birdhouses. Each class
made 8 birdhouses. How many total birdhouses are there now?
2. Mr. Dent had 32 markers in his classroom. He buys new boxes of markers that have 9
markers in each box. Now, he has 86 markers. How many new boxes did he buy?
3. Jayson had 274 postcards in his collection. He wanted to give Sam some of his postcards.
Jayson gave Sam 8 postcards from each set below:
• Arts
• Sports
• Schools
• Parks
• Beaches
• Sunsets
How many postcards does Jayson have left?
Answer:
88 birdhouses
6 new boxes
226 postcards
Answer:
1. 88
2. 6
that's all, and when you do problems like this later, don't forget the order of operations!
What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and 25.50 in year 2?
The year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
To calculate the rate of inflation and the Consumer Price Index (CPI) change from year 1 to year 2, we need to follow these steps:
Step 1: Calculate the inflation rate:
Inflation Rate = (Year 2 CPI - Year 1 CPI) / Year 1 CPI
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = (Year 2 Basket Price / Year 1 Basket Price) * 100
Let's calculate the values:
Year 1 Basket Price = $25.00
Year 2 Basket Price = $25.50
Step 1: Calculate the inflation rate:
Inflation Rate = ($25.50 - $25.00) / $25.00
Inflation Rate = $0.50 / $25.00
Inflation Rate = 0.02 or 2%
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = ($25.50 / $25.00) * 100
Year 2 CPI = 1.02 * 100
Year 2 CPI = 102
Therefore, the year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
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Nico, Aditi, Erick, Raj, and Sandra are solving the equation. Two-fifths (5 + x) = 8 Each student begins to solve the problem as shown.
Answer:Nico Raj & Sandra hope this help x3
Answer:A,D,E
Step-by-step explanation:
nico raj, n sandra
-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O
The quadratic inequality defined on the graph is given as follows:
y ≥ 2/3(x + 3)² - 24.
How to define the quadratic inequality?The coordinates of the vertex of the quadratic function are given as follows:
(-3, -24).
Hence the quadratic function is given as follows:
y = a(x + 3)² - 24.
In which a is the leading coefficient.
When x = 3, y = 0, hence the leading coefficient a is obtained as follows:
0 = a(3 + 3)² - 24
36a = 24
a = 24/36
a = 2/3.
Hence:
y = 2/3(x + 3)² - 24.
The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:
y ≥ 2/3(x + 3)² - 24.
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Logan mows / lawns each week for 8 weeks. Eve mows 2 fewer lawns than Logan each week.
a. Write an expression that represents the number of lawns Eve mows in those 8 weeks.
b. Evaluate the expression from part (a) when /-3. Interpret the result.
c. Write an expression equivalent to the one from part (a) by using a tabular model.
d. If Logan mows 5 lawns each week, how many lawns does Eve mow in 8 weeks?
answer is c because i did math and got it right
A page in Johanie’s workbook is torn, and one of the questions is cut off. She can read only the first part of the question: “In which quadrant would you find point P if the coordinates of P are (–5, ...” Assuming that P is not on an axis, what are the possible answers to this question?
Answer:
Quadrant 3 and Quadrant 4
Step-by-step explanation:
If the point is negative, then it will definetely be on the left side of the graph. The two quadrants on the left side are 3 and 4. Hope this helps!
A gym membership with two personal training sessions cost $125, while gym membership with five personal training sessions cost $260. What is the cost per session?
Answer:
$45
Step-by-step explanation:
Given that:
Gym session with 2 personal training session = $125
Gyn session with 5 personal training session. = $260
Difference in cost and personal training session :
$260 - $125 = 5 - 2
$135 = 3
Hence,
Cost per personal training session will be ;
$135 / 3
= $45
Hence, cost of a personal training session is $45
10. On a school trip the ratio of the number of teachers to the number of students is 1 : 15
The ratio of the number of male students to the number of female students is 7:5
Work out what percentage of all the people on the trip are female students.
Give your answer correct to the nearest whole number.
There are 39% of all the people on the trip are female students on a school trip.
What is meant by the term ratio?Mathematicians use the term "ratio" to compare two numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities being compared using division in a ratio.One to fifteen teachers are assigned to every hundred students.
and there are 7:5 more female students than male students.
Let's say there are x teachers. Students multiply by 15 as a result.
Take the ratio of male to female as 7 years for the male and 5 years for the female.
The total student trip is made up of both male and female pupils.
Thus,
15x = 7y + 5y
15x = 12y
5x = 4y
x = 4/5y ...eq 1
Then, the percentage of the female students.
5y/(x + 5x)×100
5y/16x ×100
Put the value of x from eq 1
625/ 16 = 39%
Thus, there are 39% of all the people on the trip are female students.
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Discuss why even though there are a limited number elements, there
is an infinite number of types of matter (2-3 sentences). Make sure
to discuss matter composition and/or geometry.
The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.
While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.
Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.
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How much heat is released when 12. 0 grams of helium gas condense at 2. 17 K? The latent heat of vaporization of helium is 21 J/g. â€""250 J â€""26 J 26 J 250 J.
The amount of heat released when 12.0g of helium gas condense at 2.17 K is; -250 J
The latent heat of vapourization of a substance is the amount of heat required to effect a change of state of the substance from liquid to gaseous state.
However, since we are required to determine heat released when the helium gas condenses.
The heat of condensation per gram is; -21 J/g.
Therefore, for 12grams, the heat of condensation released is; 12 × -21 = -252 J.
Approximately, -250J.
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Answer:
its a
Step-by-step explanation:
Put the times in chronological order
Answer:
b,c,e,d,a,f
Step-by-step explanation:
What is the average of the points A, B, and C with weights 1, 4 and 4 respectively?
A (8,-6) B(9,-5) C(-6,7)
The average of the three points A, B and C is M(x, y) = (- 7 / 9, 17 / 9).
How to use weighted average formula
In this problem we need to find the average of three points (A, B, C), each point has different weights. The average can be found by means of following expression:
\(M(x, y) = \frac{\sum\limits_{i = 1}^{n} w_{i}\cdot P_{i}(x, y)}{\sum \limits_{i = 1}^{n}w_{i}}\)
Where:
\(w_{i}\) - Weight of the i-th element.\(P_{i}(x, y)\) - i-th PointM(x, y) - AverageThen, the average of points A, B and C are described below:
M(x, y) = [1 · (8, - 6) + 4 · (9, - 5) + 4 · (- 6, 7)] / (1 + 4 + 4)
M(x, y) = [(8, - 6) + (9, - 5) + (- 24, 28)] / 9
M(x, y) = (- 7, 17) / 9
M(x, y) = (- 7 / 9, 17 / 9)
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Jess can drive 200 miles on
1/2 tank of gas.
How far can he drive with 3/4 of a tank?
Answer:
300 miles
Step-by-step explanation:
Since Jess can drive 200 miles on a 1/2 of a tank of gas that must mean he can drive 100 miles with his gas tank only 1/4 full. Since he needs to know how far he can drive with his gas 3/4 of the way full he would just add 200 miles to 100 miles and get 300 miles.
You figure this out by dividing 200 miles by 2 since it is a half way full and you just need to half the amount of miles to get how many miles it is for a fourth of the way full. You would need to find out how much it is for a fourth of the way full since it only says Jess can drive 200 miles on a 1/2 tank of gas. However we need to find out how far he can drive with 3/4 tank of gas. Which you know that you need to find out how much it is for a fourth of a tank of gas or 1/4 since 1/2 is also equal to 2/4 and 1/4 plus 2/4 is equal to 3/4.
I hope this helps! If you need any more further help with this question let me know.
Two samples, one of size 28 and the second of size 27, are selected to test the difference between two independent population means. How many degrees of freedom are used to find the critical value
To test the difference between two independent population means with two samples, you need to calculate the degrees of freedom (df). Here's a step-by-step explanation:
1. Identify the sample sizes: The first sample has a size of 28 (n1 = 28), and the second sample has a size of 27 (n2 = 27).
2. Calculate the degrees of freedom for each sample: For each sample, subtract 1 from the sample size. For sample 1, df1 = n1 - 1 = 28 - 1 = 27. For sample 2, df2 = n2 - 1 = 27 - 1 = 26.
3. Combine the degrees of freedom: Add the degrees of freedom from each sample together to get the total degrees of freedom: df = df1 + df2 = 27 + 26 = 53.
In this case, you will use 53 degrees of freedom to find the critical value for testing the difference between the two independent population means.
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We spotted two
during our hike through the park.
A. deer
B. deers
C. deeres
D. deered
Answer:
deer
Step-by-step explanation:
daffy + duck = Daffy Duck :)
Jaycie has a vip membership to a movie theater which cost $27 a year and $6.00 for each movie she sees Claire doesn't have
Answer:
They'll need to see 12 movies together before they pay the same amount.
Let the number of movies be x
Based on the question given, the equation for Jaycie will be:
= 27 + (6 × x)
= 27 + 6x
The equation for Clarie will be:
= 8.25 × x
= 8.25x
Then, the equation to solve the question will be:
27 + 6x = 8.25x
Collect like terms
27 = 8.25x - 6x
2.25x = 27
x = 27/2.25
x = 12
They will see 12 movies together.
Graph the solution to this inequality on the number line.
−4m+3>11
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
I need help asap im having a test on it
Answer:
Triangle ABC is congruent to triangle DFE.
the arrival rate is 7 / hour and the service rate is 16 / hour. the arrival and service distributions are not known so we can't use the m/m/1 formulas. if the average waiting time in the line is 19 minutes, then what is the length of the line?
Let L be the average number of customers in the system (i.e., the length of the line), λ be the arrival rate, W be the average time each customer spends in the system (i.e., the total time in the line plus the service time), and μ be the service rate. Then:
L = λW
We know that the arrival rate is λ = 7/hour and the service rate is μ = 16/hour. We also know that the average waiting time in the line is 19 minutes, or W = 19/60 hours. We can calculate W as follows:
W = Wq + 1/μ
where Wq is the average time a customer spends waiting in the line. Since we don't know the distribution of the arrival and service times, we cannot directly calculate Wq. However, we can use Little's Law again to relate the average number of customers in the waiting line to the average waiting time in the line:
Lq = λWq
where Lq is the average number of customers waiting in the line. We can then substitute this expression for Lq into the equation for W:
W = Lq/λ + 1/μ
W = (λWq)/λ + 1/μ
W = Wq + 1/μ
Solving for Wq, we get:
Wq = W - 1/μ
Wq = 19/60 - 1/16
Wq = 0.2667 hours
Now we can use Little's Law to calculate the length of the line:
L = λW
L = 7/hour x 0.2667 hours
L = 1.8667
Therefore, the length of the line is approximately 1.87 customers. Note that this is an average value, and the actual length of the line can fluctuate above or below this value due to random arrivals and service times.
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A baker made 36 blueberry muffins on Monday. what percent of the total number of muffins were blueberry if the baker made 90 muffins?
_% of the total muffins were blueberry
Answer:
32%
Step-by-step explanation: