Answer:
\( SJ = 6 \)
Step-by-step explanation:
Given that J is the center of the ∆SUZ, therefore, J is the centroid of the ∆.
According to the centroid theorem, thus:
Centroid J will divide VS into VJ and SJ into the ratio of 1 : 2.
This means, SJ is twice the length of VJ.
Therefore, given that VJ = 3, thus:
SJ = 2(3) = 6.
SJ = 6 units.
Data table Activity Optimistic START 0 ABCDEFGHIK А J L FINISH 605 2607NTO TO 2-253 N N N M - NO 15 3 1 1 1 Time Estimates (days) Most Likely 0 0 10 1 20 10 2 2 2 3 1 Print Pessimisitic 0 OANAN www�
Answer:
This is gebber gabber but yes
Step-by-step explanation:
A parcel of land is created by three intersecting roads, as shown. The parcel of land is in the shape of an isosceles triangle. The lengths of the sides of a 45o - 45o - 90o triangle has relationships as shown (the lengths of the legs are congruent and the length of the hypotenuse is the length of the leg(s) times the square root of 2). If the length of the longest side is approx. 240.42 yards, what is the length of the legs and what is the AREA of the parcel of land? Round your answers to the nearest yd2.
The AREA of the parcel of land area is 14382 sq yd nearest square yard
How to calculate the AREA of the parcel of land areaWe can see that the parcel of land is an isosceles triangle with two 45-degree angles. Therefore, the triangle is a 45-45-90 triangle, and the length of each leg is equal to x (say).
We know that the longest side (hypotenuse) is approximately 240.42 yards. Using the relationship in a 45-45-90 triangle, we can write:
longest side = x√2
240.42 = x√2
x = 240.42/√2
x ≈ 169.71
Therefore, the length of each leg is approximately 169.71 yards.
To find the area of the triangle, we can use the formula for the area of a triangle:
area = 1/2 * base * height
In a 45-45-90 triangle, the base and height are equal (since the triangle is isosceles), so we can use either leg as the base and height.
Using x = 169.71 as the base and height, we get:
area = 1/2 * 169.71 * 169.71
area ≈ 14382.42
Rounding to the nearest square yard, we get: area ≈ 14382 sq yd.
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sition book
Review
1. Juan updates his blog regularly with trivia questions for readers to answer. The month he started
this, there were 8 trivia questions on his blog. The next month, there were 19 trivia questions on his
blog. The month after that, there were 30 trivia questions on his blog.
a. Think about the number of trivia questions on Juan's blog each month. Describe the pattern.
b. Determine how many trivia questions will be on Juan's blog during months 4,5, and 6.
C. Represent the number of trivia questions on Juan's blog for the first 6 months as a numeric
sequence. Then represent the sequence using a table of values.
2. Contestants on a popular game show have an opportunity to randomly select a cash prize in 6
Answer:
a. The pattern is that each month, the number of trivia questions increases by 11.
b. Month 4 will have 44 questions, month 5 will have 52 questions, and month 6 will have 63 questions.
c. 8, 19, 30, 44, 52, 63, ...
Month - Questions
1 - 8
2 - 19
3 - 30
4 - 44
5 - 52
6 - 63
(There's no great way to format a table here, so you'll have to use your imagination!)
The Ratio of cats to dogs is 3:4. if there are 12 cats, how many dogs are there?
1. 6 dogs
2. 20 dogs
3. 16 dogs
4. 12 dogs
A= round your answer to the nearest hundredth
\( \sin(a) = \frac{opposite}{hypotenuse \\ } \\ \\ \sin(a) = \frac{5}{8} \\ \\ a = \sin {}^{ - 1} ( \frac{5}{8} ) \\ \)
measure of A is approximately equal to 39°
HOPE IT HELPS
PLEASE MARK ME AS BRAINLIEST
Answer:
a^2=5^2+8^2
a^2=25+64
a^2=89
a=9.43398
9.43 to the nearest hundred
Step-by-step explanation:
we use the pythagorus theorem because our triangle is right angled
a^2=b^2+c^2
John needs 5 yards of fabric. The store sells fabric for $3 a foot. How much will it cost John to buy the fabric?
Answer:
Cost of 5 yards of fabric = $5
Step-by-step explanation:
Cost of one foot fabric = $3
John needs fabric = 5 yards
Since, 1 yard = 3 foot
Therefore, 5 yards = 3 × 5
= 15 foot
Total cost of fabric = total length of fabric × Cost of 1 foot fabric
= 15 × 3
= $45
5 yards of fabric will cost $45.
66.6% as a fraction?
What type of triangle (right, obtuse, acute) do the angles 5,5,5 form?
Answer:
acute
Step-by-step explanation:
5 is lower than a 90* angle
if this is wrong I'm very sorry.
It takes Andrew 720720720 seconds to take a shower. He spends an additional 420420420 seconds eating breakfast. How many minutes does it take Andrew to take a shower and eat breakfast?
Answer: 19 minutes
Step-by-step explanation:
Here is the complete question:
takes Andrew 720 seconds to take a shower. He spends an additional 420 seconds eating breakfast.
How many minutes does it take Andrew to take a shower and eat breakfast?
From the question, we are told that Andrew spends 720 seconds to take a shower and also spends an additional 420 seconds eating breakfast. The total time spent by Andrew will be:
= 720 seconds + 420 seconds
= 1140 seconds
We will then convert 1140 seconds to minutes. We should note that 60 seconds = 1 minute. Therefore,
1140 seconds = 1140/60
= 19 minutes
Andrew uses 19 minutes to take a shower and eat breakfast.
11) Determine the length of the vector function F(t)= <3 - 4t, 6t, -(9+2t) > from-6 ≤ t≤ 8.
A) L = √56
B) L=-√56
C) L=-14√56
D) L = 14√56
The length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is D) L = 14√56.
The length of the vector function F(t) = <3 - 4t, 6t, -(9 + 2t)> from -6 ≤ t ≤ 8, we need to calculate the integral of the magnitude of the derivative of F(t) with respect to t over the given interval.
The magnitude of a vector v = <x, y, z> is given by ||v|| = √(x² + y² + z²).
First, let's find the derivative of F(t):
F'(t) = <-4, 6, -2>
Next, let's find the magnitude of F'(t):
||F'(t)|| = √((-4)² + 6² + (-2)²)
= √(16 + 36 + 4)
= √56
Now, we can calculate the length of F(t) over the interval -6 ≤ t ≤ 8 by integrating ||F'(t)|| with respect to t:
L = ∫(√56) dt
= √56 ∫dt
= √56 × t + C
Evaluating the integral over the given interval:
L = √56 × t + C| (-6)⁸
= √56 × (8 - (-6))
= √56 × 14
= 14√56
Therefore, the length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is 14√56.
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I-Ready find the measure of angle RST
Answer:
Step-by-step explanation:
You need an image for problem to be solved, please repost it with a image, so it can be solved
2/5
of an hour (in minutes)?
To convert hour into minute: (No. of hour × 60) minutes
So, 2/5 hours = (2/5 × 60) minutes = (120/5) minutes = 24 minutes
2\5 is 0.4 so 0.4 multiplied by 60 u get 24 so the answer is 24 minutes
man I hate USA test prep pls help I have to do this s8it every Friday
The side lengths of the base of this right triangular prism are 3 ft, 4 ft, and 5 ft. The height of the prism is 9 ft. What is the total surface area of the prism in square feet? Enter your answer in the box.
Answer:
480
Step-by-step explanation:
I Will Give You A Brainliest. I Need This Before 11/12/20 4pm.
Answer:
C Subtraction property of equality
Step-by-step explanation:
You are subtracting 21 from both sides in step 3
Answer:
I would guess C
Step-by-step explanation:
I hope I'm correct, good luck.
pls help me to answer this
Answer:
225
135
450
270
6750
all the answers
What is the LCM for 12 and 4
Answer:
12
Step-by-step explanation:
4 and 12 only share 12 which is the lowest number :D
are the following statements true or false? false 1. if two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix. false 2. if is zero, then two rows or two columns are the same, or a row or a column is zero. false 3. the determinant of is the product of the diagonal entries in . false 4. .
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
What is matrix ?
A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,
1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.
2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.
3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.
4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
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What i the area of a rectangle with a length of 14. 4 inche and a width that i one-third of the length?
43. 2 in. 2
51. 84 in. 2
69. 12 in. 2
103. 68 in. 2
Answer:
43. 2 in. 2
Step-by-step explanation:
]43. 2 in. 2, 103. 68 in. 2
For which equations is 8 a solution? Select the four correct answers. x + 6 = 2 x + 2 = 10 x minus 4 = 4 x minus 2 = 10 2 x = 4 3 x = 24 StartFraction x Over 2 EndFraction = 16 StartFraction x Over 8 EndFraction = 1
The 8 s the solution of equation StartFraction x Over 8 EndFraction = 1 i.e., x/8 = 1. So, the correct option is D).
To determine for which equations 8 is a solution, we can simply substitute 8 for x in each equation and see if the equation holds true.
Substituting x = 8 in the given equations, we get
x + 6 = 8 + 6 = 14 (not equal to 8)
x + 2 = 8 + 2 = 10 (not equal to 8)
x - 4 = 8 - 4 = 4 (not equal to 8)
x - 2 = 8 - 2 = 6 (not equal to 8)
2x = 2(8) = 16 (not equal to 8)
3x = 3(8) = 24 (not equal to 8)
x/2 = 8/2 = 4 (not equal to 8)
x/8 = 8/8 = 1 (equal to 8)
Therefore, only one equation x/8 = 1 has 8 as a solution.
Mathematically, we can evaluate this equation as follows
x/8 = 1
Multiplying both sides by 8
x = 8 * 1
x = 8
Since we have substituted x=8 and obtained the same value on both sides of the equation, the equation holds true for x=8. So, the correct answer is D).
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find the area under the standard normal curve between z=−2.27 and z=−1.41. round your answer to four decimal places, if necessary.
the area under the standard normal curve between z = -2.27 and z = -1.41 is approximately 0.0679 (rounded to four decimal places).
To find the area under the standard normal curve between z = -2.27 and z = -1.41, we need to use a standard normal distribution table or a calculator with the ability to calculate normal probabilities.
Using a standard normal distribution table, we can look up the area corresponding to z = -2.27 and subtract the area corresponding to z = -1.41.
From the table, the area to the left of z = -2.27 is approximately 0.0114, and the area to the left of z = -1.41 is approximately 0.0793.
The area between z = -2.27 and z = -1.41 is given by:
Area = Area to the left of z = -1.41 - Area to the left of z = -2.27
Area = 0.0793 - 0.0114
Area ≈ 0.0679
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what is the best estimate for the area of this rectangle
Calculate 3198 × 750 without using a calculator
3198 x 750 equals 2,398,500. We may use the distributive approach to solve 3198 x 750 without a calculator by multiplying each digit of one number by each digit of the other number, starting with the rightmost digit.
We may use the distributive approach to solve 3198 x 750 without a calculator by multiplying each digit of one number by each digit of the other number, starting with the rightmost digit.
markdown
3198 \s x 750
23970 (8 x 0), 319800 (9 x 0 + 9 x 5) and 2398500 (9 x 0 + 9 x 7 + 8 x 5) are the numbers.
Because of this, 3198 x 750 equals 2,398,500.
When a problem or question asks to be solved "without using a calculator," it signifies that the answer must be determined by hand without the aid of a calculator or any other electronic instrument. This is frequently used to assess a person's math prowess and to motivate them to hone their problem-solving and mental math ability.
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Consider the given matrix A and right-hand sides 6, and b2: [o.6 A = ~0.8 [ijp]. 6, = [o.8 [4 6= [1] 0.6 Find the pseudoinverse A+ Compute the projection matrices AtA and AA+ _ Find the ~best" solution z+ = A+b for each right-hand side. Which solutions fromn (c) arC exact? Which solutions are unique?
The "best" solution z+ = A^+b is the one that minimizes the 2-norm of the residual vector r = b - Az. In general, not all right-hand sides b will have a unique solution z+, and even if there is a solution, it may not be exact (i.e., Az ≠ b).
To find the pseudoinverse of a matrix A, the first step is to take the singular value decomposition (SVD) of A, which can be written as A = UΣV^T, where U and V are orthogonal matrices and Σ is a diagonal matrix with nonnegative singular values. The pseudoinverse of A is given by A^+ = VΣ^+U^T, where Σ^+ is the same as Σ except that the nonzero elements of Σ are replaced by their inverses.
Next, the projection matrices are given by AtA and AA+, which are used to project a vector onto the column space and the row space of A, respectively.
The "best" solution z+ = A^+b is the one that minimizes the 2-norm of the residual vector r = b - Az. In general, not all right-hand sides b will have a unique solution z+, and even if there is a solution, it may not be exact (i.e., Az ≠ b).
Whether a solution is exact or unique depends on the rank of A and the number of linearly independent columns and rows. If the rank of A is equal to the number of columns, then the solution is unique, otherwise, the solution may not be unique.
Therefore, The "best" solution z+ = A^+b is the one that minimizes the 2-norm of the residual vector r = b - Az. In general, not all right-hand sides b will have a unique solution z+, and even if there is a solution, it may not be exact (i.e., Az ≠ b).
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Simplify: 4 x 3^2 - 3+ 5x2 = 0 OA. 33 OB. 43 O c. 36 O D. 58 O E 34
4 x 3^2 - 3+ 5x2
4 x 9 - 3 + 10 = 0
36 - 3 + 10
33 + 10
43
Answer : 43
Solve for x, similar triangles
The value of x, considering the similar triangles, is given as follows:
x = 6.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.There are two similar right triangles in this problem, with equivalent sides given as follows:
5x - 3 and 39 - (5x - 3)36 and 16.Then the proportional relationship for the side lengths is given as follows:
(5x - 3)/[39 - (5x - 3)] = 36/16
Then, simplifying the denominator on the left side, we have that:
(5x - 3)/(42 - 5x) = 36/16
Applying cross multiplication, an equation is built to solve for x as follows:
36(42 - 5x) = 16(5x - 3)
1512 - 180x = 80x - 48
260x = 1560
x = 1560/260
x = 6.
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A variable that is used as a flag to indicate when a condition becomes true or false is normally a _________ variable.
A variable that is used as a flag to indicate when a condition becomes true or false is normally referred to as a Boolean variable.
Boolean variables can hold only two possible values: true or false. These variables are often used in programming languages to control the flow of a program, allowing developers to create conditional statements and logical operations.
For instance, if a programmer wants to execute a certain piece of code only when a specific condition is met, they can use a Boolean variable to track the status of that condition. When the condition becomes true, the Boolean variable is set to "true" and the corresponding code is executed. Conversely, when the condition is false, the Boolean variable is set to "false" and the code is skipped.
In conclusion, Boolean variables are an essential tool in programming, helping developers create more efficient and flexible code by allowing them to manage the flow of a program based on various conditions.
These simple true or false values make it easy to understand and implement logical statements and conditional execution, leading to more reliable and effective software applications.
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Which expression is equivalent to
-5{n-9}
Answer: -5n+45
Step-by-step explanation:
Using distribution is a good way to find equivalent expressions like this.
-5(n) + -5(-9) -> -5n + 45
Can someone please help ?
Answer:
Height = 8
Volume = 48
Step-by-step explanation:
(4x4)x3 = 48
Hell meeeeeeeeeeee please
Answer:
OOOOOOOOHHH SHUTE BROTHER SORRY WISHED I COULD HELP but im blonde so sowwy