Answer:
C
...................
Work out the number of sides of a regular polygon with interior angle 177
[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =177 \end{cases}\implies n(177)=180n-360 \\\\\\ 177n=180n-360\implies 0=3n-360\implies 360=3n \\\\\\ \cfrac{360}{3}=n\implies 120=n[/tex]
What is 2.3 as a fraction?
Answer:23/10
Step-by-step explanation:
you move the comma and how many times you have to move it is how many zeros in the denominator
PLEASE HELP ME
What is the value of x in this triangle?
Answer:
x = 39
Step-by-step explanation:
We need to solve for the interior angle measure. The sum of a triangle's interior angle measures are 180, so we just have to create an equation and solve for x.
[tex]x+102+39=180[/tex]
Add like terms
[tex]x+141=180[/tex]
Subtract 141 on both sides
[tex]x=39[/tex]
To check our work, we can add the angle measures together to see if they add up to 180.
[tex]39+102+39 = 180[/tex]
what is 36 cube root?
The cube root of 36 is a number between 3 and 3.5, and can be represented mathematically as ∛36.
Square roots are simply the opposite operation of squaring a number. For example, the square root of 9 is 3 because 3 x 3 = 9.
Similarly, the cube root is the opposite operation of cubing a number. The cube root of a number is the value that, when cubed, gives the original number. For instance, the cube root of 27 is 3 because 3 x 3 x 3 = 27.
Now, to answer your question, "What is 36 cube root?" - this can be written as ∛36 or as the cube root of 36. To find the cube root of 36, we need to find a number that, when cubed, gives 36.
We can start by using trial and error. We know that 2 x 2 x 2 = 8, which is less than 36. We also know that
=> 3 x 3 x 3 = 27, which is less than 36.
So, we can try a number between 3 and 4. Let's try 3.5.
If we cube 3.5, we get 42.875, which is greater than 36.
If we try a number lower than 3.5, we will get an even greater value. Therefore, the cube root of 36 is between 3 and 3.5.
We can use more precise methods to find the cube root of 36, such as using a calculator or estimating with decimal approximations. However, using trial and error is a simple and effective way to find an approximate answer.
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Which of the following is not an equivalent fraction of 1830?
610
25
35
1220
Which of the following is not an equivalent fraction of 1830, the correct answer is (option A)
What does equivalent fraction mean?Fractions that represent the same value
Equivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.
To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (35) by the same natural number, ie, multiply by 2, 3, 4, 5, 6... Important: 1830 looks like a fraction, but it is actually an improper fraction. 610 is equivalent to 1830 because 3 × 25 × 2 = 610.
Hence, Which of the following is not an equivalent fraction of 1830, the correct answer is (option A)
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Which group shows all the numbers that are common factors of 24 and 30?
OA) 1, 2, 3, 4, 6
OB) 1, 2, 3, 6
OC) 1, 2, 3, 4
D) 1, 2, 3, 5, 6
Answer:
It should be OB, process of elimination helps a lot in questions like these
The population of Medway, Ohio, was 4,007 in 2000. It is expected to decrease by about 0.36% per year. Write an exponential decay function and use it to approximate the population in 2020.
The population of Medway, Ohio, is expected to be approximately 3728 in the year 2020.
How to determine the exponential decay functionFrom the question, we have the following parameters that can be used in our computation:
Initial, a = 4007
Rate = 0.36% per year
The decay function is represented as
y = a(1 - rate)^x
So, we have
y = 4007 * (1 - 0.36%)^x
This gives
y = 4007 * (0.9964)^x
The year 2020 is 20 years from 2000
So, we have
x = 20
Substitute the known values in the above equation, so, we have the following representation
y = 4007 * (0.9964)^20
Evaluate
y = 3728
Hence, the approximate solution is 3728
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how to find interior angles of a hexagon
The total of a hexagon's internal angles is 720 degrees.
The internal angles of a hexagon may be calculated using the formula "180 - (360/n)," where n is the number of sides. When you enter 6 for a hexagon, the response is 120 degrees.
We might begin by imagining a hexagon to better comprehend the notion. It is a basic design made up of six distinct straight lines that join to form a closed shape. The internal angles are the angles on the inside of the form.
The above-mentioned formula may be used to compute the internal angles of a hexagon. For each inner angle of a hexagon, the computation yields a value of 120 degrees. Hence the total of a hexagon's internal angles is 720 degrees.
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What is the value of R in an appropriate degree of accuracy
Answer:
Finished
Step-by-step explanation:
-Multiple the exponents together
-keep ×10 the same so you can apply the second law of exponents
-Then divide and subtract the exponents of ×10
-Let the 14.44 and 5.9 divide each other
-Leave it like that because it's standard form
what is teh numpy matrix inverse?
The NumPy matrix inverse is a function that calculates the inverse of a given square matrix.
The NumPy matrix inverse function is a strategy that works out the opposite of a square grid involving the NumPy library in Python. The inverse of a matrix is a matrix that, when duplicated by the first grid, creates the identity matrix.
In NumPy, the matrix inverse function is executed as the linalg.inv() technique, which takes a NumPy cluster as information and returns its converse as an exhibit. The matrix should be square and invertible, the importance of its determinant isn't equivalent to nothing. The matrix inverse is utilized in different fields of math, designing, and science to solve systems of linear equations, track down the eigenvalues and eigenvectors of a network, and perform different procedure on matrices.
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The whole number n is such that n * (n+28) is a prime number. Find the prime number.
If the whole number n is such that n * (n+28) is a prime number. the prime number is 29.
How to find the prime number?We can start by expanding the expression n × (n+28) to get n^2 + 28n. Notice that n^2 + 28n is a quadratic expression that can be factored as n(n+28). Therefore, if n × (n+28) is a prime number, then n and n+28 must be either 1 and the prime number or the prime number and 1 (since a prime number has only two positive factors, 1 and itself).
If n = 1, then n+28 = 29, and n × (n+28) = 1 × 29 = 29, which is a prime number.
If n+28 = 1, then n = -27, which is not a whole number.
Therefore, the prime number in question is n × (n+28) = 29.
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A boy is older than his sister by 3years,find the percentage ages
The present ages are the Boy is 17 years old and his sister's age is 14 years old.
Finding ages:
Since the ratio of ages is 4: 3 take them as 4x and 3x and form an equation as given in the problem. Solve the resultant equation for the values of 'x'. And calculate the ages 5 years ago and add 5 to get the present ages.
Here we have
A boy is older than his sister by 3 years
Then the difference is both ages = 3
Given that five years ago the ratio of ages = 4: 3
Let 4x and 3x be the age of a boy and his sister five years
As we know the difference between them = 3 years
=> 4x - 3x = 3
=> x = 3 years
=> 4x = 4(3) = 12
Boy's age after '5' years = 12 + 5 = 17 years
His sister's age = 17 - 3 = 14 years
Therefore,
The present ages the Boy is 17 years old and his sister's age is 14 years old.
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Complete Question:
A boy is older than his sister by 3 years, five years ago the ratio was 4:3. Find his present age.
what is unit circle calculator?
Answer: In trigonometry, the unit circle has a radius of 1 and is centered at the origin. It’s useful for learning ratios like sine and cosine. It also illustrates the relationship between angles in degrees and radians.
Step-by-step explanation:
You need to pay 8% tax on a car that costs $12,000. What will you end up paying in total? Show your reasoning
$12,960 is the answer I believe
1% of 12,000 is 120
120 times 8 is 960
12,000 plus the tax (960) = 12,960
1.you buy a car for $10,000. every year, the car loses 25% of its value. how would the function rule change if the car lost 10% of its value each year? and why does the function rule include 0.75 instead of 0.25?
2. You start a job making $10 per hour. at the end of each year, you earn a 10% raise. how will the function rule change if the annual raise is 8%?
The automobile is currently worth Rs 52,488. four years ago, it was worth 80,000.
What is Depreciation rate?The depreciation rate is the total amount depreciated each year, expressed as a percentage. For instance, if a business depreciated an asset at a rate of $15,000 per year for ten years, the total depreciation would be $100,000. This indicates that the rate would be 15% annually. To calculate depreciation using the straight-line method, the asset's salvage value, or what you expect it to be worth at the end of its useful life, must be deducted from the asset's cost.Depreciable basis, or the amount that may be written off, is the outcome. By how many years the asset will be useful, divide this sum.Present Value A = Rs. 52,488
Depreciation rate r = 10 % per annum
Time t = 4 years
Let initial value be P
We know the formula, A =[tex]$\mathrm{P}\left(1-\frac{\mathrm{r}}{100}\right)^t$[/tex]
We obtain by substituting the supplied values.
52,488 =[tex]$\mathrm{P}\left[1-\frac{10}{100}\right]^4 \\[/tex]
52,488 = [tex]$\mathrm{P}(0.9)^4 \\[/tex]
[tex]$\mathrm{P}=\frac{52488}{0.6561} \\[/tex]
P = 80,000
The complete question is:
The value of a car depreciates every year at the rate of 10% on its value at the beginning of the year. If the present value of the car is Rs 52,488 its worth four years ago was
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A certain automotive dealer sells only cars and trucks, and the ratio of cars to trucks on the lot is 1 to 3. If there are currently 51 trucks for sale, how many cars does the dealer have for sale?(A) 17(B) 34(C) 68(D) 153(E) 204Spoiler: OA
The ratio of cars to trucks is 1 to 3, which means that for every three trucks, there is one car. Since there are 51 trucks, this means that there is 17 cars (51/3 = 17). Therefore, the dealer has 17 cars for sale.
The automotive dealer sells both cars and trucks and the ratio of cars to trucks on the lot is 1 to 3. This means that for every three trucks, there is one car. Therefore, if there are 51 trucks currently for sale, then the number of cars can be determined by dividing this number by 3. This equals 17 cars. Thus, the dealer has 17 cars for sale.
The ratio of cars to trucks is 1 to 3, which means that for every three trucks, there is one car. Since there are 51 trucks, this means that there is 17 cars (51/3 = 17). Therefore, the dealer has 17 cars for sale.
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Please, Help me with this question
Answer:
The quadratic equation [tex]2x^2-10x\:+\:27\:=\:-10[/tex] has no real roots
The two complex roots are:
[tex]x = 2.5 + 3.5 \, i\\\\and\\\\x = 2.5 - 3.5 \, i[/tex]
Step-by-step explanation:
There are no real root solutions to this quadratic equation
The quadratic formula for solving an equation of the standard form
[tex]ax^2 + bx + c = 0[/tex]
is given by
[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]
The term under the square root is called the discriminant and determines the type number of roots(solutions) to the quadratic
When [tex]b^2 - 4ac=0[/tex] there is one real root.When [tex]b^2 - 4ac > 0[/tex] there are two real roots.When [tex]b^2 - 4ac < 0[/tex] there are no real roots - roots are complexThe given quadratic equation is
[tex]2x^2-10x\:+\:27\:=\:-10[/tex]
Add 10 to both sides:
[tex]2x^2-10x\:+\:37\:=0[/tex]
Comparing to the standard form we see
a = 2, b = -10, c = 37
The discriminant is
[tex]b^2 - 4ac = (-10)^2 - 4\cdot2\cdot 37\\= 100 - 296\\= -196[/tex]
Since the discriminant is negative both roots will be comples
[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\\\x = \dfrac{ -(-10) \pm \sqrt{(-10)^2 - 4(2)(37)}}{ 2(2) }\\\\x = \dfrac{ 10 \pm \sqrt{100 - 296}}{ 4 }\\\\x = \dfrac{ 10 \pm \sqrt{-196}}{ 4 }[/tex]
[tex]\text {To find $\sqrt{-196}$}[/tex]
[tex]\sqrt{-196} = \sqrt{196}\sqrt{-1} =\sqrt{196}\;i[/tex]
where i = [tex]\sqrt{-1}[/tex]
We have
[tex]\sqrt{196} = 14\\\\So\\\\\sqrt{-196} = 14i[/tex]
The solutions are
[tex]x = \dfrac{ 10 \pm 14\, i}{ 4 }[/tex]
[tex]x = \dfrac{ 10 }{ 4 } \pm \dfrac{14\, i}{ 4 }[/tex]
[tex]x = \dfrac{ 5}{ 2 } \pm \dfrac{ 7\, i}{ 2 }[/tex]
[tex]x = 2.5 \pm 3.5i[/tex]
The two complex solutions are:
[tex]x = 2.5 + 3.5 \, i\\\\and\\\\x = 2.5 - 3.5 \, i[/tex]
Dawn took a picture of five airplanes at a local airshow. Each
airplane left a vapor trail behind them.
Airplane 1
Airplane 2
Airplane 3
4000
Airplane 4
Kood
Airplane 5.
4000
719
105
Which two planes created parallel trails?
110°
104
The two planes that have created the parallel traits would be airplane 3 and airplane 5
How to get the parallel linesTo get the parallel lines, we would have to check the angles that are formed
for angle 3 angles on a line is 180
x + 110 = 180
x = 70 degrees
For angle 5
we can see that the position of x in 3 is the same position in 5
hence we can see that in plane 5, x = 70
hence these two would be parallel
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Seshni wants to cover six cushions, each measuring 36 cm x 36 cm, with fabric. She adds 1.5 cm extra for each seam. The fabric she wants to buy is 90 cm wide and costs R59,99/m excluding VAT. How much fabric must be bought to cover all six cushions? How much will the fabric cost, including VAT?
If Seshni wants to cover six cushions, each measuring 36 cm x 36 cm, with fabric.
a. Seshni needs to buy 0.84375 square meters of fabric.
b. It will cost R64.66 including VAT.
How to find the fabric cost ?a. The dimensions of each cushion are 36 cm x 36 cm, and with the added 1.5 cm seam allowance, each cushion will require fabric with dimensions of (36 + 1.5) cm x (36 + 1.5) cm = 37.5 cm x 37.5 cm.
The total area of fabric required to cover all six cushions is:
6 cushions x (37.5 cm x 37.5 cm) = 8437.5 square centimeters
To convert to square meters, we need to divide by 10000:
8437.5 square centimeters / 10000 = 0.84375 square meters
So, Seshni needs to buy 0.84375 square meters of fabric.
b. Next, we can calculate the cost of the fabric.
0.84375 square meters / 0.9 meters = 0.9375 meters
The cost per meter is R59.99 excluding VAT, so the cost of the fabric is:
0.9375 meters x R59.99/meter = R56.23
To calculate the cost including VAT, we need to add the VAT amount. Assuming the VAT rate is 15%, the VAT amount is:
0.15 x R56.23 = R8.43
So the total cost including VAT is:
R56.23 + R8.43 = R64.66
Therefore, Seshni needs to buy 0.84375 square meters of fabric, and it will cost R64.66 including VAT.
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which theorem or postulate proves that △abc and △def are similar?
To prove that two triangles △ABC and △DEF are similar, we can use the following theorem:
The Angle-Angle (AA) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Or else, if ∠A ≅ ∠D and ∠B ≅ ∠E, then △ABC ~ △DEF. This theorem relies on the fact that when two angles of one triangle are congruent to two angles of another triangle, the third angle must also be congruent due to the fact that the sum of the angles in a triangle is always 180 degrees. Thus, the triangles must have the same shape and are therefore similar.
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At Luehrs Middle School, 112 sixth-grade students have a dog as a pet; this represents 35% of the sixth-grade students. How many sixth-grade students are at Luehrs Middle School? Responses
Answer:
its 320
Step-by-step explanation:
The total number of many sixth-grade students at Luehrs Middle School found using the percentage is 320.
What is meant by percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. There is no dimension to percentages. As a result, it is known as a dimensionless number.
Given,
Number of students in sixth grade who has a pet dog = 112
The percentage of sixth grade students who has a pet dog = 35%
Let the number of total sixth grade students be x.
Percentage
= (Number of students with pet dog/Total number of sixth grade students * 100
35 = (112/x) * 100
35/100 = 112/x
x = (100/35) * 112 = 320
Therefore the total number of many sixth-grade students at Luehrs Middle School found using the percentage is 320.
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Which theorem or postulate proves that △ABC and △DEF are similar?Select from the drop-down menu to correctly complete the statement.The two triangles are similar by the ________.A. AA Similarity PostulateB. SSS Similarity TheoremC. SAS Similarity Theorem
Answer: To prove that triangles △ABC and △DEF are similar, we would use the AA Similarity Postulate. This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. In other words, if the corresponding angles of two triangles are congruent, then the triangles are similar.
Step-by-step explanation:
What is the probability of at least one head in two coin tosses?
When tossing a fair coin, the possible outcomes are a head (H) or a tail (T), each with a probability of 1/2.
To find the probability of getting at least one head in two coin tosses, we can first find the probability of getting no heads (i.e., two tails) and then subtract that from 1 to get the probability of getting at least one head.
The probability of getting two tails is (1/2) * (1/2) = 1/4, since the probability of getting a tail on the first toss is 1/2 and the probability of getting a tail on the second toss is also 1/2, and we multiply these probabilities together to get the joint probability.
Therefore, the probability of getting at least one head in two coin tosses is:
1 - 1/4 = 3/4
So the probability of at least one head in two coin tosses is 3/4 or 0.75.
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Describe the relationship between x and y in the equation y=x+6.
Choose the correct answer from each drop-down menu to complete the statement.
The relationship is
because the value of y is
the value of x.
Answer:
The relationship is additive because the value of y is 6 more than the value of x
Step-by-step explanation:
did the test and there's a plus sign in the equation so y would be 6 more than the value of x
The relationship between x and y in the equation y = x + 6, is Linear relationship, because the value of y can be represented in a straight line.
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Given the equation:
y = x + 6
This is a linear equation.
The slope is 1 and the initial value (y intercept) is 6
Hence, the relationship between x and y in the equation y = x + 6, is Linear relationship.
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Question 1-6 performance matters
Compare the number of squares with the number of triangles.
DDDDDΔΔΔΔΔΔΔΔ
If the ratio of squares to triangles remains the same, how many squares will there be when there are 24 triangles?
15 squares will there be when there are 24 triangles to maintain the ratio.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
We have 5 squares and 8 Triangles.
let the number of square be x when there is 24 triangles.
using Proportion
5/8 = x / 24
8x = 120
x = 15
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Sam does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least 10 hours. He spends at most 7 hours doing cardiovascular work. He spends at most 6 hours on weight training. Let × denote the time (in hours) that Sam spends doing cardiovascular work.
Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.
So, in response to the above question, we can state that We obtain the inequality following system of inequalities by combining these three constraints:
[tex]x + y \geq 10\\x \leq 7\\y \leq 6[/tex]
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
[tex]x + y \geq 10[/tex]
Next, we know that Sam works out his cardiovascular system for no more than 7 hours. Thus, x must be less than or equal to 7. This restriction can be shown by the inequality:
[tex]x \leq 7[/tex]
Finally, we are aware that Sam only devotes a maximum of 6 hours to weight training. This implies that y should be between -6 and -6. This restriction can be shown by the inequality:
[tex]y \leq 6[/tex]
We obtain the following system of inequalities by combining these three constraints:
[tex]x + y \geq 10\\x \leq 7\\y \leq 6[/tex]
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can someone help me with the first one please!!!!
The perimeter of the trapezoid ABFE and the prove that the triangle ΔABC is an isosceles are as follows;
First question;
The perimeter of the trapezoid ABFE is 100 units
Second question;
The sides AB and BC in the triangle ΔABC are congruent, therefore, triangle ΔABC is an isosceles triangle
What is an isosceles triangle?An isosceles triangle is a triangle that has two sides that have the same lengths.
The specified parameters are;
The segment joining the midpoints of the side [tex]\overline{AC}[/tex] and [tex]\overline{BC}[/tex] of the equilateral triangle ΔABC = EF
EF = 2·x + 8 and AB = 7·x - 2
The midsegment theorem applied to the triangle ΔABC indicates that we get;
EF = (1/2) × AB
Therefore; 2·x + 8 = (1/2) × (7·x - 2)
(1/2) × (7·x - 2) = 2·x + 8
7·x - 2 = 2 × (2·x + 8)
7·x - 2 = 4·x + 16
7·x - 4·x = 16 + 2 = 18
3·x = 18
x = 18/3 = 6
x = 6
EF = 2·x + 8
Therefore; EF = 2 × 6 + 8 = 20
EF = 20
AB = 7·x - 2
Therefore; AB = 7 × 6 - 2 = 40
AB = 40
AB = AC = BC (Definition of an equilateral triangle)
Therefore;
AC = BC = AB = 40 (symmetric property)
The midpoints E and F, indicates that we get;
AE = CE and BF = CF
AC = AE + CE and BC = BF + CF (segment addition property)
Therefore; AC = AE + AE = 2 × AE
40 = 2 × AE
AE = 40/2 = 20
BC = 2 × BF
40 = 2 × BF
BF = 40/2 = 20
The perimeter of the trapezoid ABFE, P = AB + BF + EF + AE
P = 40 + 20 + 20 + 20 = 100
The perimeter of the trapezoid ABFE = 100 unitsSecond question
The coordinates of the vertices of the triangle are;
A(1, 2), B(-5, 3), and C(-6, -3)
The lengths of the sides of the triangle found using the distance formula are;
AB = √((-5 - 1)² + (3 - 2)²) = √(37)
BC = √((-6 - (-5))² + (-3 - 3)²) = √(37)
AC = √((-6 - 1)² + (-3 - 2)²) = √(74)
The lengths of the sides AB and BC in the triangle ΔABC are the same, therefore, the triangle ΔABC is an isosceles triangle.
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You pass through a particular stoplight on the way to school each morning. You have a 35% chance of catching the light red on any given day. In a three-day period:
a. What is the probability that you will catch the light red twice?
b. What is the probability that you catch the light red all three days?
c. what is the probability that you don’t catch the light red any of the three days?
A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee per class he attends. The equation y = 20 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.
Which graph represents this situation?
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 20 through the point 1 comma 30
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 20 through the point 1 comma 10
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point 1 comma 30
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point one half comma zero
The correct graph is the first one.
What is graph?Graph is a data structure composed of nodes connected by edges, which represent a relationship between the two notes of are used to represent networks of communication that organized and even extract concept like thought or riders the nodes in the graph are often represent by Circle and it's by line but the other safe of the symbol are also use copper power Bluetooth for a organizing and understanding data and can be used to solve complex problem.
It represents the equation y = 20 + 10x, which means that the gymnast pays a flat fee of $20 for each month plus an additional $10 for each class he attends. Therefore, the graph will show a line going from the point 0, 20 through the point 1, 30.
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Determine if the ordered pair [1,-5] is a solution of 3x-2y=13
Yes, the ordered pair [1,-5] is a solution of 3x-2y=13. Because when evaluating the ordered pair in the equation it is true.
To determine if an ordered pair is a solution to an equation, we can plug in the values of the ordered pair into the equation and see if the equation is true.
In this case, the ordered pair is [1,-5], which means x=1 and y=-5. We can plug these values into the equation 3x-2y=13 and see if it is true:
3(1) - 2(-5) = 13
3 + 10 = 13
13 = 13
Since the equation is true, the ordered pair [1,-5] is a solution of 3x-2y=13.
More infirmation about the equation here: https://brainly.com/question/29720383
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