What are the types of angles based on their size? How do you classify an angle as acute, right, obtuse, or straight? Give an example of each.
Based on their sides, the 3 triangles are classified as equilateral triangles, isosceles triangles, and scalene triangles.
A triangle is scalene if all of its three sides and angles are differentScalene-Triangle-1
In the figure, all three symbols that are given on each side are different, which denotes that all three sides are unequal.
If two of its sides are equal, a triangle is called an isosceles.One example of the angles of an isosceles acute triangle is 50°, 50°, and 80°.
A triangle with all three equal sides is called equilateral.The sum of all three angles of an equilateral triangle is equal to 180 degrees. 60° + 60° + 60° = 180°
Acute angles measure less than 90 degrees.the examples of acute angles are 25°, 36°, 47°, 64°, 55°, 72°, 80° and so on
Right angles measure 90 degrees.Examples of right angles are all around us. We can see right angles in the corners of a room, book, cube, windows, and at several other places.
Obtuse angles measure more than 90 degreesExamples of obtuse angles include 166°, 121°, 110°, 117°, and 91°.
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kwan is driving a total of 234 miles. how long will his trip take him, to the nearest tenth of an hour, assuming he travels at this constant rate use proper units
To the nearest of tenth hour kwan has driven total 234 miles.
What is speed?Speed is the pace at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Write general formula to find speed.Speed= distance/time
Based on his speed and the distance driven within that time, Kwan will have driven 234 miles
First find out Kwan's speed per hour:
Speed = Distance / Time
Convert the time to decimals:
= 1 + 1/10 hours
= 1 + 0.1
= 1.1 hours
Speed:
= 234 / 1.1
= 212 miles per hour
In tenth of an hours therefore, Kwan would have gone:
= 212*1.1 hours
= 234 miles
Therefore,Kwan would have driven 234 miles.
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Answer:he drives 234 in 1.1 miles
Step-by-step explanation:
i jus know
What is the absolute value of -(-22)
Answer:
22
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between −22 and 0 is 22 .
The length and width of a rectangle are consecutive integers. The area of the rectangle is 156 square feet. Find the length and width of the rectangle.
Answer:
L = 12ft
W = 13ft
Step-by-step explanation:
Let's use the two pieces of information to make 2 equations (we need 2 eqns to solve for 2 variables: Length and Width).
The length and width are consecutive integers
L+1=W
The area of the rectangle is 156 square feet.
L*W=156
We know that W=L+1 from our first equation, so substituting that information into our second equation we get
L*(L+1)=156
Let's distribute that L
L^2 + L = 156
and subtract 156 from both sides
L^2 + L - 156 = 0
Now we can use the quadratic formula to find L. L cannot be negative, so
L = 12
using our very first equation we know L, so we can solve for W.
L+1=W
12+1=W
W = 13
Given u = ⟨2, –8⟩ and v = ⟨8, –2⟩, what is u · v? a. –68 b. –60 c. 0 d. 32
The value of u.v is 32.
What are vectors?A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.
Given are two vectors, u = ⟨2, –8⟩ and v = ⟨8, –2⟩,
We know, x.y = x₁.x₂+y₁+y₂
Therefore, u.v = 2×8+(-2)(-8)
= 16+16
= 32
Hence, The value of u.v is 32.
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A bag contains 120 marbles. Some are red and rest are black. There are 19 red marbles for
every black marble.How many red marbles are in the bag?
Answer: 114 red marbles
Step-by-step explanation:
We know that for every 20 marbles, there are 19 red and 1 black marble.
So to get from 20 to 120, we multiply by 6. So we take 19 times 6 = 114 red marbles and 6 black marbles,
Help me please thank you.
Answer:
angle 3 = 44 degrees
angle 2 = 136 degrees
angle 4 = 136 degrees
Step-by-step explanation:
angle 2 = angle 4
angle 1 = angle 3
angle 1 + angle 2 = 180 degrees
angle 3 + angle 4 = 180 degrees
Which relation is displayed in this table?
A){(1,2),(3,4),(5,6),(7,8)}
B){(1,2),(3,4),(5,6),(8,7)}
C){(2,1),(4,3),(6,5),(7,8)}
D){(2,1),(4,3),(6,5),(8,7)}
x y
1 2
8 7
5 6
3 4
The relation that is displayed by the given table is: B. {(1,2), (3,4), (5,6), (8,7)}
What is a Relation?A relation can be described as a set of ordered pairs which contain one object from each sets, of which one pair is represented as (x, y). So, in a table, a relation can be represented by having all the set of x-values one column, and their corresponding y-values on another column.
Given the table below:
x | y
1 2
8 7
5 6
3 4
We can list out the set of ordered pairs as follows:
(1, 2), (8, 7), (5, 6), and (3, 4).
Ordering the pairs of values, we would have the following relation of the table, which is expressed as: B. {(1,2), (3,4), (5,6), (8,7)}
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Please help me respond this
27 is the percentile score of 71 on this test score and 71 is the score of victor.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula.
[tex]R_{100} =\frac{100(N < )+\frac{1}{2}N }{N}[/tex]
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60 th percentile.
[tex]R_{100} =\frac{100(N < )+\frac{1}{2}N }{N}[/tex]
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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Persevere with Problems Suppose an online store has an item that costs $50. The item is on sale for 10% off the original price.
In one well-developed paragraph with a topic sentence and supporting details, compare and contrast the experience of reading "The Highwayman" with listening to it. Explain, using examples from the text, how hearing the poem read aloud changes or increases your understanding of a poem.
Helppp pleaseeeeeeeeeeeeeeee…………
The expression that represents the number of football cards that Frankie has is given as follows:
F = J + 65.
How to model the situation?The situation can be modeled by a system of equations, in which the variables are given as follows:
Variable F: number of football cards that Frankie has.Variable J: number of football cards that John has.Frankie has sixty-five more football cards than his friend John, hence the expression that represents the number of football cards that Frankie has is given as follows:
F = J + 65.
As the term sixty-five more means that the number 65 is added to the amount of cards that John has, which is symbolized by J, to obtain the amount F, which is the number of football cards that Frankie has.
Missing InformationThe problem asks for the expression of the number of cards that Frankie has.
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a lily pad, in a pond, doubles in size every day. on the 20th day, it covers the entire pond. on what day did it cover half the pond?
On the 19th day, the lily pad covered half the pond.
The reason behind this is, If the lily pad doubles in size every day, then on the 20th day it will be twice as large as it was on the 19th day. That means it was already covering half the pond on the 19th day.
In this puzzle, the water lily is described as doubling in size every day. This means that on the first day, the lily pad is small, but by the second day, it has doubled in size. On the third day, it doubled in size again, and so on. By the 20th day, the lily pad has grown so large that it covers the entire pond.
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Winter coat are marked 70% off on February 1t if a coat cot 57. 75 on January 31t how much will it cot on February 1t
The price of the winter coats is going to be $17.325.
what is marked price?The marked price or list price is the amount that appears on a product's label. This is the price that the product will be sold for. But this price might be discounted in some way, and the product's real selling price might be less than the advertised price.
given,
Marked Price of winter coats = $57.75 and discount = 70%
Discount = 70%
57.75 × 70/100
5.775 × 7
40.425
Selling Price = M.P - Discount
57.750 - 40.425
17.325
therefore ,
The price of the winter coats is going to be $17.325.
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Given the equation Y=2/3x+7
What is the y-intercept value and how do you graph it?
What is the slope value and how do you graph it?
Answer:
y-int. is (0,7) and slope is 2/3
just repeat the points 3 times
A survey of 18 showed seven liked football, 10 liked basketball, and five liked both. How many students like neither football nor basketball?
A. 10
B. 6
C. 12
D. 2
Answer: B. 6
Step-by-step explanation:
I think 6 because it says seven liked football and 10 liked basketball, so 1 didn't pick.
We also know that 5 like both and 1 didn't pick, so 1 + 5 = 6 students
the three perpendicular bisectors of a triangle intersect in one point called the
Solve equation by using the quadratic formula. 8 x squared - 3 x = 5 a. x = startfraction 8 over 5 endfraction, negative 1 b. x = startfraction 8 over 5 endfraction, 1 c. x = startfraction 8 over 5 endfraction, 0 d. x = startfraction 5 over 8 endfraction, negative 1
The solutions to the quadratic equation 8x² - 3x = 5 are x = 1 and x = -5/8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
8 x squared - 3 x = 5
Express properly
So, we have
8x² - 3x = 5
This gives
8x² - 3x - 5 = 0
The quadratic formula is represented as
x = (-b ± √[b² - 4ac])/2a
Substitute the known values in the above equation, so, we have the following representation
x = (3 ± √[(-3)² - 4 * 8 * -5])/(2 * 8)
Evaluate
x = (3 ± √169)/16
So, we have
x = (3 ± 13)/16
Expand
x = (3 + 13)/16 and x = (3- 13)/16
Evaluate
x = 1 and x = -5/8
Hence, the solution is x = 1 and x = -5/8
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there are 20 people at a chess club on a certain day. they each find opponents and start playing. how many possibilities are there for how they are matched up, assuming that in each game it does matter who has the white pieces
The total number of possibilities for matching up players, assuming that in each game it does matter who has the white pieces, is 670442572800.
A permutation is a mathematical way of an arrangement of objects in a particular way or order. We have, there is total 20 people at chess club on a particular day. Now, these 20 people divided into two groups each find opponents and start playing. There are 10 games in total. Let's say the first player in line plays with the white pieces in the first game. The second person in line plays with the black pieces in the first game. The third person plays with the white pieces in game two. The fourth person plays with the black pieces in game two, and so on. There are 20 of them! ways to do it. But we have to remember that the order of the games doesn't matter, so we have to divide this number by 10! , i.e, number of game permutations . Therefore, the total number of possible arrangement is,
20!/10! = 20×19×---×10!/10! = 20× 19×--× 11
= 670442572800.
Hence, required possibilities is 670442572800.
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Complete question:
There are 20 people at a chess club on a certain day. They each find opponents and start playing. How many possibilities are there for how they are matched up, assuming that in each game it does matter who has the white pieces (in a chess game, one player has the white pieces and the other player has the black pieces)?
Which graph is it? I need the geniuses of this platform to help me.
You're at a clothing tore that dye your clothe while you wait. You get to pick from 444 piece of clothing (hirt, pant, ock, or hat) and 333 color (purple, blue, or orange). If you randomly pick the piece of clothing and the color, what i the probability that you'll end up with an orange hat?
We will discover that the probability that you will at random wind up with an orange hat is as follows: P = 1/12
Observe how we arrived at that now:
4 pieces of clothing (shirt, pants, socks, or hat)
three hues (purple, blue, or orange)
The color of only one item of clothing will change. The likelihood that you will receive an orange hat is what we are looking for.
We must first determine the likelihood that you will choose a hat at random. The likelihood of picking your hat at random is if all the apparel has the same probability of being chosen, just one more than the number of options (4). p = 1/4
The color is now chosen at random using the same methodology as before, with the likelihood that orange will be chosen at random being: q = 1/3.
When we multiply the individual probabilities by the joint probability, we obtain:
P = q*p = (1/4)*(1/3) = 1/12
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Solve using the FOIL method
1. (x - 2)(x + 8)
2. (x + 6)(x - 12)
3. (x + 9)(x + 4)
4. (x + 6)(x + 2)
5. (x + 6)(x + 9)
6. (x - 4)(x + 5)
7. (x + 3)(x - 3)
8. (x + 10)(x + 10)
9. (x - 3)(x + 12)
10. (x + 4)(x - 3)
11. (x + 5)(x + 2)
12. (x - 3)(x - 4)
13. (x + 8)(x - 8)
14. (x -6)(x+3)
15. (x + 1)(x - 5)
Using the FOIL method, the products are:
1. x² + 6x - 16
2. x² - 6x - 72
3. x² + 13x + 36
4. x² + 8x + 12
5. x² + 15x + 54
6. x² + x - 20
7. x² - 9
8. x² + 20x + 100
9. x² + 9x - 36
10. x² + x - 12
11. x² + 7x + 10
12. x² - 7x + 12
What is the FOIL Method?The FOIL method is an acronym that stands for "First, Outside, Inside, and Last". This method simply describes the order you use in multiplying the terms of a given expression, that is, you have to multiply first terms, then outside terms, then inside terms, then last terms. The final step is to combine like terms together to arrive at your final answer.
Therefore, using the FOIL method, we have the following products:
1. (x - 2)(x + 8)
x² + 8x -2x - 16
Combine like terms
x² + 6x - 16
2. (x + 6)(x - 12)
x² - 12x + 6x - 72
Combine like terms
x² - 6x - 72
3. (x + 9)(x + 4)
x² + 4x + 9x + 36
x² + 13x + 36
4. (x + 6)(x + 2)
x² + 2x + 6x + 12
Combine like terms
x² + 8x + 12
5. (x + 6)(x + 9)
x² + 9x + 6x + 54
Combine like terms
x² + 15x + 54
6. (x - 4)(x + 5)
x² + 5x - 4x - 20
x² + x - 20
7. (x + 3)(x - 3)
x² - 3x + 3x - 9
x² - 9
8. (x + 10)(x + 10)
x² + 10x + 10x + 100
x² + 20x + 100
9. (x - 3)(x + 12)
x² + 12x - 3x - 36
x² + 9x - 36
10. (x + 4)(x - 3)
x² - 3x + 4x - 12
x² + x - 12
11. (x + 5)(x + 2)
x² + 2x + 5x + 10
x² + 7x + 10
12. (x - 3)(x - 4)
x² - 4x - 3x + 12
x² - 7x + 12
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The gardening club at school is growing vegetables. The club has 300 square feet of planting beds. Cucumber plants require 6 square feet of growing space, and tomato plants require 4 square feet of growing space. The students want to plant some of each type of plant and have at least 60 plants.
Select all of the equations or inequalities that could describe this situation. Let c represent the number of cucumber plants and t represent the number of tomato plants.
Answer:
There are several equations or inequalities that could describe this situation. Here are a few examples:
- The total number of plants cannot exceed 60: c + t ≤ 60
- The total number of plants must be at least 60: c + t ≥ 60
- The total amount of growing space must not exceed 300 square feet: 6c + 4t ≤ 300
- The total amount of growing space must be at least 300 square feet: 6c + 4t ≥ 300
Step-by-step explanation:
Any equation or inequality that accurately represents the given constraints on the number and types of plants, and the amount of growing space available, could be used to describe this situation.
i need help on this question
Which division problem is represented with this model?
A:1/5÷2
B:1/6÷2
C:1/2÷5
D:1/5÷6
15 POINTS
The division represented by the model is:
B:1/6÷2
Which division is represented by the model?First, we can see a square that is divided into 6 strips, and one of these strips (actually half of it) is shaded, so we can start by writing:
1/6
Now, notice that only half of the strip is shaded, so we need to divide again by 2, then we will get the division:
(1/6)/2
That is the division represented by the model. So the correct option is B
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what is the answer to 5x + 3 = 22
Answer: The correct answer is x = 19 / 5
Step-by-step explanation:
Solve the equation
5x + 3 = 22
Subtract 3 from both sides
5x + 3 − 3 = 22 − 3
5x = 19
Divide both sides by 5
5x/5 = 19/5
x = 19 / 5
My friend and I have different calling plan. Mine ha a monthly fee of $20 and $0. 08 per minute charge. My friend pay $0. 04 a minute and a $25 monthly cutomer fee
By applying the concept of algebra, it can be concluded that the two cost plans will be the same after 125 minutes.
The use of algebra in everyday life.
Algebra is a branch of mathematics that uses numbers, symbols, or letters to solve a mathematical problem. In everyday life, algebra is often used for financial planning, plan or scheme comparison, and so on.
In the given problem, we are asked to compare the two calling plans.
Let's say the total cost for the first plan is P1, then:
P1 = monthly fee + total cost per minute
= 20 + (0.08 x number of minutes)
The total cost for the second plan is P2, then:
P2 = monthly fee + total cost per minute
= 25 + (0.04 x number of minutes)
Let's say the two total costs become equal after x minutes, then we can equate the two expressions given above as follows:
20 + 0.08x = 25 + 0.04x
0.08x - 0.04x = 25 - 20
0.04x = 5
x = 5 : 0.04
= 125 minutes
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in a lottery game, a player picks 6 numbers from 1 to 46. how many different choices does the player have if order doesn't matter?
In a lottery game, if a player picks 6 numbers then the total 9366819 different choices player have if order doesn't matter.
What is Combination ?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, regardless of the order of selection. Formula is
ⁿCᵣ = n! /r!(n-r)!
where n is total number of objects
r is total number of choosing objects
We have given that,
In a lottery game total number = 46 = { 1,2,...., 46}
A player can pick total number = 6 numbers
We have to calculate different choices does the player have if order doesn't matter.
Using Combination formula,
we have , n = 46 , r = 6
⁴⁶C₆ = 46!/6!(40!)
=> ⁴⁶C₆ = 46×45×44×43×42×41×40!/40!(6!)
= 46×45×44×43×42×41 /(6×5×4×3×2×1)
= 23×3×7×11×43×41
= 9366819
Hence, the required ways are 9366819..
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Which of these equations represent the graph?
Answer:
D. [tex]y=\dfrac{-2}{3}x + 2[/tex]
Step-by-step explanation:
All of these answer choices are in slope intercept form:
[tex]y=mx+b[/tex]
where [tex]m[/tex] is the line's slope and [tex]b[/tex] is its y-intercept.
First, we'll find the line's slope using the points [tex](-3,4)[/tex] and [tex](0, 2)[/tex].
[tex]m=\dfrac{\textrm{rise}}{\textrm{run}} = \dfrac{2-4}{0-(-3)} = \dfrac{-2}{3}[/tex]
Then, plug that [tex]m[/tex]-value into the slope intercept form equation:
[tex]y = \dfrac{-3}{2} + b[/tex]
Next, find the y-value at which the line crosses the y-axis:
[tex]b=2[/tex]
Finally, plug that [tex]b[/tex]-value into the slope intercept form equation and look at which answer choice the equation we solved for matches.
D. [tex]y=\dfrac{-2}{3}x + 2[/tex]
in a chi-squared test, if the null hypothesis is true, we expect the test statistic to be:
If the null hypothesis is true in a chi-squared test, then we expect the test statistic to be approximately equal to its expected value.
In a chi-squared test, the null hypothesis is the statement that there is no significant association between two variables. If the null hypothesis is true, then we expect the test statistic to be approximately equal to its expected value. The expected value is calculated using the degrees of freedom and the expected frequency of each category in the contingency table.
The chi-squared test statistic is calculated by subtracting the observed frequency from the expected frequency for each category and then squaring the result. These squared differences are then summed across all categories to calculate the chi-squared test statistic.
If the null hypothesis is true, we expect the test statistic to be close to its expected value. This is because when the null hypothesis is true, the observed frequencies should be close to the expected frequencies. Therefore, the squared differences should be small, resulting in a small test statistic.
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the test for the equality of two population variances is based on group of answer choices the difference between the 2 population variances. the difference between the sample variances divided by the difference between the sample means. the ratio of the 2 sample variances. the difference between the 2 sample variances.
This ratio is used to compare the variances of the two samples and determine if they are statistically equal.
The test for the equality of two population variances is a statistical test used to determine whether or not the variances of two populations are equal. This test is based on the ratio of the two sample variances, which is calculated by dividing the difference between the two sample variances by the difference between the two sample means. This ratio is then compared to the value of a critical statistic to determine whether or not the two population variances are statistically equal. If the ratio is greater than or equal to the critical statistic, then the two population variances are considered equal. If the ratio is less than the critical statistic, then the two population variances are considered unequal. This test is useful for determining if the two populations have similar amounts of variation or if one population has more variation than the other.
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