Using equivalent angles, the two angles between 0º and 360º that have the desired cotangent value are of:
c) 150º and 330º.
What are equivalent angles?Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, we want an angle with a cotangent of negative square root of 3.
The cotangent of an angle is given by the cosine divided by the sine.In the first quadrant, the angle with the cotangent of square root of 3 is of 30º.The cotangent is negative on the second and on the fourth quadrant.
On the second quadrant, the equivalent angle is: 180 - 30 = 150º.On the fourth quadrant, the equivalent angle is: 360 - 30 = 330º.Hence the correct option is given by:
c) 150º and 330º.
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Each day Theo versus dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week
Answer: 280 minutes
Step-by-step explanation:
Given
Expression is \(7\times (15+25)\)
Apply distributive law i.e.
\(a(b+c)=a\cdot b+a\cdot c\)
\(\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280\)
Thus, theo dog took 280 minutes each week
What is the correct domain of the given function
Answer:
B
Step-by-step explanation:
50 Points!!! Are collinear lines real? If so, explain.
Answer:
You may see many real-life examples of collinearity such as a group of students standing in a straight line, a bunch of apples kept in a row, next to each other, etc. In geometry, two or more points are said to be collinear, if they lie on the same line.
Step-by-step explanation:
Hope this helps!=D
at ECMS about 25% of 6th graders made in a in math if there are 416 6th graders, how many made an A
The number of 6th graders who made A is 104.
What is percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In this case, about 25% of 6th graders made A in math and there are 416 6th graders,
Those that made A will be:
= Percentage × Total students
= 25% × 416
= 104
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How many times can Henry expect to roll a 4 if he rolls a fair number cube 120 times?
Answer:
30
Step-by-step explanation:
4.
30
\(120 \div 4 = 30\)
b. After the 10th graduation
ceremony, how many total
graduates are there? Explain how
you determined your answer.
Answer:
chccucuxudhwhhwhsvahajw 10th g - ceremony
In an earlier lesson, we saw this graph that shows the percentage of all garbage in the U.S. that was recycled between 1991 and 2013.
1. Sketch a linear function that models the change in the percentage of garbage that was recycled between 1991 and 1995. For which years is the model good at predicting the percentage of garbage that is produced? For which years is it not as good?
2. Pick another time period to model with a sketch of a linear function. For which years is the model good at making predictions? For which years is it not very good?
(1) the model y = 1%x - 975.09% may not be as good at predicting the percentage of garbage that is produced before 1991 or after 1995
(2)the model y = 0.25%x + 28.5% may not be as good at predicting the percentage of garbage that is produced before 2006 or after 2010
What is the linear function?
A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
To sketch a linear function that models the change in the percentage of garbage that was recycled between 1991 and 1995, we need to find two points on the graph and use them to determine the slope and y-intercept of the line.
Looking at the graph, we can see that the percentage of garbage that was recycled in 1991 was approximately 16%, and the percentage in 1995 was approximately 22%. Using these two points, we can find the slope of the line:
slope = (change in y) / (change in x) = (22% - 16%) / (1995 - 1991) = 1% per year
We can also use the point-slope form of a linear equation to find the y-intercept of the line:
y - y1 = m(x - x1)
y - 16% = 1%(x - 1991)
y = 1%x - 975.09%
Therefore, the linear function that models the change in the percentage of garbage that was recycled between 1991 and 1995 is:
y = 1%x - 975.09%
This model is good at predicting the percentage of garbage that is produced between 1991 and 1995, as the data points used to create the model fall within this time period. However, the model may not be as good at predicting the percentage of garbage that is produced before 1991 or after 1995, as it does not take into account any changes in the trend of the data outside of this time period.
Let's pick the time period between 2006 and 2010 to model with a linear function. From the graph, we can see that the percentage of garbage that was recycled in 2006 was approximately 33%, and the percentage in 2010 was approximately 34%. Using these two points, we can find the slope of the line:
slope = (change in y) / (change in x) = (34% - 33%) / (2010 - 2006) = 0.25% per year
We can also use the point-slope form of a linear equation to find the y-intercept of the line:
y - y1 = m(x - x1)
y - 33% = 0.25%(x - 2006)
y = 0.25%x + 28.5%
Therefore, the linear function that models the change in the percentage of garbage that was recycled between 2006 and 2010 is:
y = 0.25%x + 28.5%
This model is good at predicting the percentage of garbage that is produced between 2006 and 2010, as the data points used to create the model fall within this time period.
However, the model may not be as good at predicting the percentage of garbage that is produced before 2006 or after 2010, as it does not take into account any changes in the trend of the data outside of this time period.
Hence, (1) the model y = 1%x - 975.09% may not be as good at predicting the percentage of garbage that is produced before 1991 or after 1995
(2)the model y = 0.25%x + 28.5% may not be as good at predicting the percentage of garbage that is produced before 2006 or after 2010
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The quadrilateral below is a rhombus. Find the missing measures. Any decimal answers should be rounded to the nearest tenth.
NK =
m
NL =
m
ML =
m
JM =
m
m
A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.
We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.
To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,
ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):
ML² = 20² + 20² - 2(20)(20)cos(50°)
ML² = 400 + 400 - 800cos(50°)
ML² ≈ 617.4
Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.
So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.
The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.
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Help open up a jewelry store, Tom borrowed money from an online lending company He took out a personal, amortized loan for 44,000, at an interest rate of 6. 25\% with monthly payments for a term of 7 years For each part, do not round any intermediate computations and round your final answers to the nearest cent necessary, refer to the list of financial formulas (a) Find Tom's monthly payment (b) Tom pays the monthly payment each month for the full term , his total amount to repay the () Tom pays the monthly payment each month for the full termfind the total amount of interest he will pay
Tom will pay a total of $13,424.20 in interest over the term of the loan.
The formula to calculate the monthly payment for an amortized loan is given by: `P = r(PV) / [1 - (1 + r)^(-n)]`Where P is the monthly payment, r is the interest rate per month, PV is the present value of the loan, and n is the number of payments or the total number of months.
Substituting the given values, we get:P = 0.0052083333 × 44,000 / [1 - (1 + 0.0052083333)^(-7×12)]P = 632.32Therefore, Tom's monthly payment is $632.32 (rounded to the nearest cent).b. Since Tom pays the monthly payment each month for the full term, his total amount to repay the loan is equal to the present value of the loan.
Therefore, the total amount to repay the loan is $44,000 (rounded to the nearest cent).c. The total amount of interest paid over the term of the loan can be calculated as the difference between the total amount repaid and the principal amount of the loan.
Therefore, the total interest paid is: Total interest paid = Total amount repaid - Principal amount of the loan Total interest paid = $57,424.20 - $44,000Total interest paid = $13,424.20
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What is the equation of the line?
A: y = -4/5x + 3/2
B: y = -5/4x + 5/4
C: y = -4/5x + 5/4
D: y = -5/4x + 3/2
Answer:
A: y = -4/5x + 3/2 i believe is the correct answer
Step-by-step explanation:
elimination
8x−4y=-4
−3x+4y=5
"Answer: 11x - 8y = -9
Step-by-step explanation:
For this exercise you need to remember:
1) The multiplication of signs:
(+) (+) = +
(-) (-) = +
(-) (+) = -
(+) (-) = -
2) By definition, like terms contain the same variables with the same exponent.
Then know this, and given the equations:
8x - 4y = -4 and -3x + 4y = 5
You must subtract the like terms, which means that you must subtract the numerical coefficients of each term.
Then, you get the result is:
8x - 4y = -4
-3x + 4y = 5
--------------------------------------------------
8x - (-3x) - 4y - 4y = - 4y -5
8x + 3x - 8y = -9
11x - 8y = -9"
whats 5.90x6.90
will give brainlest
Answer:
40.71
Step-by-step explanation:
30
I am from the Spanish server where I am ranked star
uwu
HELP PLEASE I NEED IT NOWWW.
Answer:
C.) 5
Step-by-step explanation:
If beth were 5 ( Making Julio 3)
Gerald is 10 and Debra is 20
10+20+5+3 = 38
I hope this helps you :)
Will Give Brainliest!!!
Which ordered pair is a solution of the equation?
-3x+5y=2x+3y
Choose 1 answer:
(Choice A)
Only (2,4)
(Choice B)
Only (3,3)
(Choice C)
Both (2,4) and (3,3)
(Choice D)
Neither
how many five-digit numbers are there that do not have two consecutive digits the same? for example, you would count 12104 and 12397 but not 6321 (it is not five digits) or 43356 (it has two consecutive 3s).
There are 59049 five-digit numbers are there that do not have two consecutive digits the same.
As per the given data:
We have to determine how many five-digit numbers are there that do not have two consecutive digits the same.
The selection of numbers from 0-9 for all digits
The first digit may not be a zero.
So, the first digit has 9 choices from 1-9.
The second digit can be any of the numbers from 0-9 except the first digit.
So, the second digit also has 9 choices.
The third digit can be any of the numbers from 0-9 except the second digit.
So, the third digit also has 9 choices.
The fourth digit can be any of the numbers from 0-9 except the third digit.
So, the fourth digit also has 9 choices.
The fifth digit can be any of the numbers from 0-9 except the fourth digit.
So, the fifth digit also has 9 choices.
According to the question, all five digits have 9 choices as two consecutive digits are not the same.
So, the Number of the digit is 9 × 9 × 9 × 9 × 9 = \(9^{5}\) as shown here.
Hence, the answer is 59049 numbers.
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Use equation (1)
from Section 2.1 to show that rowi(A)=rowi(I)⋅A,
for i=1,2,3
b. Show that if rows 1 and 2 of A
ar…
a. Use equation (1)
from Section 2.1 to show that rowi(A)=rowi(I)⋅A,
for i=1,2,3
b. Show that if rows 1 and 2 of A
are interchanged, then the result may be written as EA,
where E
is an elementary matrix formed by interchanging rows 1 and 2 of I.
c. Show that if row 3 of A
is multiplied by 5,
then the result may be written as EA,
where E
is formed by multiplying row 3 of I
by 5.
In part (a), we will use equation (1) from Section 2.1 to show that for each row i of matrix A, it can be obtained by multiplying row i of the identity matrix I with matrix A.
In part (b), we will demonstrate that if rows 1 and 2 of matrix A are interchanged, the resulting matrix can be expressed as the product of matrix E, which is an elementary matrix formed by interchanging rows 1 and 2 of I, and matrix A. Lastly, in part (c), we will show that if row 3 of matrix A is multiplied by 5, the resulting matrix can be expressed as the product of matrix E, formed by multiplying row 3 of I by 5, and matrix A.
(a) Let's consider equation (1) from Section 2.1, which states that for each row i of a matrix A, row i of A can be obtained by multiplying row i of the identity matrix I with matrix A. This can be mathematically expressed as row_i(A) = row_i(I) ⋅ A. Since i can take values 1, 2, and 3, we can apply this equation to each row of matrix A, proving that row i of A is equal to row i of I multiplied by A.
(b) When rows 1 and 2 of matrix A are interchanged, we can represent this operation as the product of matrix E and matrix A, where E is an elementary matrix formed by interchanging rows 1 and 2 of I. An elementary matrix is obtained by performing a single elementary row operation on the identity matrix. In this case, E will have a 1 on its diagonal, except for the position corresponding to rows 1 and 2, where it will have 0. By multiplying E and A, the resulting matrix will have rows 1 and 2 interchanged, demonstrating that EA represents the interchange of rows 1 and 2 of A.
(c) If row 3 of matrix A is multiplied by 5, we can express this operation as the product of matrix E and matrix A, where E is formed by multiplying row 3 of I by 5. The elementary matrix E will have a 1 on its diagonal, except for the position corresponding to row 3, where it will have the scalar value of 5. By multiplying E and A, the resulting matrix will have row 3 of A multiplied by 5, confirming that EA represents the multiplication of row 3 of A by 5.
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The test scores for 8 randomly chosen students is a statistics class were (51, 93, 93, 80, 70, 76, 64, 79). What is the mean absolute deviation for the sample of students? 42.0 10.6 18.7 14.2
In this case, n = 8.MAD = (21.5 + 20.5 + 20.5 + 7.5 + 2.5 + 4.5 + 8.5 + 6.5) / 8 = 14.2 Therefore, the mean absolute deviation for the sample of students is 14.2 .
Mean absolute deviation is defined as the average distance between each data point and the mean of the dataset. Given the test scores for 8 randomly chosen students as follows: (51, 93, 93, 80, 70, 76, 64, 79), the mean absolute deviation for the sample of students can be determined using the following steps; Step 1: Calculate the mean of the dataset.
The mean can be calculated using the formula below: mean = (51 + 93 + 93 + 80 + 70 + 76 + 64 + 79)/8 = 72.5Step 2: Calculate the absolute deviation of each data point from the mean. The absolute deviation of each data point from the mean can be calculated using the formula below:|x - mean| Where x represents each data point.
For example, the absolute deviation of the first data point (51) from the mean (72.5) is:|51 - 72.5| = 21.5. The absolute deviation of each data point from the mean is as follows:21.5, 20.5, 20.5, 7.5, 2.5, 4.5, 8.5, and 6.5Step 3: Calculate the mean of the absolute deviation.
The mean of the absolute deviation can be calculated using the formula below: Mean Absolute Deviation (MAD) = (|x1 - mean| + |x2 - mean| + |x3 - mean| + ... + |xn - mean|) / n Where n is the number of data points in the dataset. In this case, n = 8.MAD = (21.5 + 20.5 + 20.5 + 7.5 + 2.5 + 4.5 + 8.5 + 6.5) / 8 = 14.2 Therefore, the mean absolute deviation for the sample of students is 14.2 .
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Find the exact length of the curve.x = et − 9t, y = 12et/2, 0 ≤ t ≤ 3
To find the exact length of the curve given by x = et − 9t, y = 12et/2, 0 ≤ t ≤ 3, we can use the arc length formula:
L = ∫(a to b) √[dx/dt]^2 + [dy/dt]^2 dt
Substituting the given values, we get:
L = ∫(0 to 3) √[e^t - 9]^2 + [6e^(t/2)]^2 dt
Simplifying the expression under the square root, we get:
L = ∫(0 to 3) √(e^(2t) - 18e^t + 81 + 36e^t) dt
L = ∫(0 to 3) √(e^(2t) + 18e^t + 81) dt
L = ∫(0 to 3) (e^t + 9) dt
L = [e^t + 9t] from 0 to 3
L = [e^3 + 9(3)] - [e^0 + 9(0)]
L = e^3 + 27 - 10.99
L ≈ 25.5
Therefore, the exact length of the curve is approximately 25.5 units.
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Written as the product of its prime factors, 2250=2x3²x5³. Two integers, A and B, can be written as products of prime factors. A=2xpxq¹ B=2xp² xq² The lowest common multiple (LCM) of A and B is 2250. Write down the values of p, q and r.
The values of p, q, and r are p = 2, q = 5, and r = 3, respectively.
Given that the lowest common multiple (LCM) of A and B is 2250, and the prime factorization of A is A = 2 × p × q¹, and the prime factorization of B is B = 2 × p² × q², we can compare the prime factorizations to determine the values of p, q, and r.
From the prime factorization of 2250 (2 × 3² × 5³), we can observe the following:
The prime factor 2 appears in both A and B.
The prime factor 3 appears in A.
The prime factor 5 appears in A.
Comparing this with the prime factorizations of A and B, we can deduce the following:
The prime factor p appears in both A and B, as it is present in the common factors 2 × p.
The prime factor q appears in both A and B, as it is present in the common factors q¹ × q² = q³.
From the above analysis, we can conclude:
p = 2
q = 5
r = 3.
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A store sells 3 T-shirts for $15
What is the cost per T-shirt?
Answer: $5
Step-by-step explanation:
If you sell 3 shirts for $15 you would then just divide the 3 shirts into how much all together to get the price for each shirt for $5.
Solve for x, given m<2 = 5x – 5
\(\\ \bull\tt\dashrightarrow 5x-5=74\)
\(\\ \bull\tt\dashrightarrow 5x=74+5\)
\(\\ \bull\tt\dashrightarrow 5x=79\)
\(\\ \bull\tt\dashrightarrow x=\dfrac{79}{5}\)
\(\\ \bull\tt\dashrightarrow x\approx 16\)
Answer:
• These is an isosceles triangle, meaning base angles are equal.
• let the upper angle of the first triangle be y;
\({ \tt{y + 74 \degree + 74 \degree = 180 \degree}} \\ \\ { \tt{y + 148 \degree = 180 \degree}} \\ \\ { \tt{y = 32 \degree}}\)
• Therefore:
\({ \tt{m \angle 2 + y = 90 \degree}} \\ \\ { \tt{(5x - 5) + 32 = 90}} \\ \\ { \tt{5x + 27 = 90 }} \\ \\ { \tt{5x = 63}} \\ \\ { \tt{x = \frac{63}{5} }} \\ \\ { \boxed{ \tt{ \: \: x = 12.6 \: \: }}}\)
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
15
Step-by-step explanation:
As we can see, we have the total ratio as;
5 + 2 + 1 = 8
Total of NQ is 24
The ratio accorded to NO is 5
so we have the length of NO as;
5/8 * 24 = 15
PLEASE HELP,, MARKING BRAINLIEST!!!
Choose the similarity statement that best represents the triangles. Provide evidence.
A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.
Answer: D, these Triangles are not similar.
Step-by-step explanation:
Find the sum of the interior angles for a pentagon. 180° 360° 540° 900°
The sum of the interior angles for a pentagon is 540°
Sum of Interior Angles of a Pentagon :
The interior angles of a pentagon sum up to 540 degrees.. Regardless of how regular or irregular the pentagon is, this is true. By dividing the whole amount by 5, we can calculate the size of each internal angle in the case of regular pentagons. To determine the measure of a missing angle in the situation of irregular pentagons, we must first know the measurements of other angles.
Any pentagon's internal angles add up to 540° in the same way. This holds true regardless of how regular or irregular the pentagon is. By using the polygon angle sum formula, the following sum is obtained:
(n-2)180(n−2)×180°
where n represents the polygon's number of sides. We have n = 5 in the case of a pentagon. Consequently, utilizing the formula:
=(n-2)180=(n−2) ×180°
= (5-2) 180= (5−2) ×180°
= (3) 180= (3) ×180°
= 540=540°
Consequently, a pentagon's interior angles add up to 540 degrees.
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What is the perimeter of a square if the length of one of the diagonals is 12 cm?
6v2 cm
2412 cm
48 cm
24 cm
Answer:
Step-by-step explanation:
Use Pythagorean theorem to find the length of the square.
Length of the square = a
a² +a² = diagonal²
2a² = 12²
2a² = 144
a² = 144 ÷ 2
a² = 72
\(a =\sqrt{72}\\\\ = \sqrt{2*2*2*3*3}\\\\ = 2*3\sqrt{2}\\\\a = 6\sqrt{2}\\\\\\\\Perimeter= 4a\\\\ = 4*6\sqrt{2}\\\\= 24\sqrt{2} cm\)
Pls help, mathmatics 50 points
The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106
What is a rectangle and its Properties ?A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.
Rectangles' essential characteristics are as follows:
A rectangle is a parallelogram.
Each inner angle is equal to 90 degrees and the opposite sides are parallel and equal to one another.360 degrees is the total of all interior angles.The diagonals cut each other in half, and both of them are equal in length.The perimeter of a rectangle with side lengths a and b is equal to 2a+2b units.The Perimeter of the rectangle is 2a + 2b where a and b are the two sides
Now , if w is the width of the rectangle then, the length is 4w given in problem.
Perimeter,
2w + 2* 4w
As it is given in the problem
2w + 2* 4w ≤ 106
The first model of inequality satisfy the problem.
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Need help HMI 10th Geometry
What are 10 examples of irrational numbers?
Step-by-step explanation:
numbers that can not be written as a fraction
Aubrey decided to invest $450 in a 'money market account, that had a 3.5% interest rate compounded quarterly. what will she have when the account matures?
please help!!!
Answer:
453.5
Step-by-step explanation:
(x+30)+2x supplementary angle
Answer:
ATQ,
50 degree is the answer
Step-by-step explanation:
x+30+2x = 180
3x =180-30
3x = 150
x =150/3
x = 50