Based on the ratio of the largest angle of the triangle with 180°, the degrees of the largest angle is 77°.
What is the ratio?The ratio is the proportion of one value to the whole.
Ratios compare the relative sizes of components.
Ratios are computed as the quotients resulting from division operations.
The ratio of the measures of the angels of a triangle = 5:7:9
The sum of ratios = 21
The ratio of the largest angle = 9/21
We know that the total angles of a triangle = 180°
The angle (degrees) of the largest angle = 77° (180° x 9/21)
Thus, the degree of the largest angle is 77°.
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What is the value of the expression
10/12 + 3/7
Answer:
= 53/42
Step-by-step explanation:
10/12 is equivalent to: 70/84
3/7 is equivalnt to: 36/84
Then:
10/12 + 3/7 = 70/84 + 36/84
= (70 + 36) / 84
= 106 / 84
= 53 / 42
Find the smallest value of m such that the product of 189m is a perfect square
Answer: 7
Step-by-step explanation:
First, we need to prime factorize the number 189,
189 = 3 × 3 × 3 × 7 × m
From the factors we can see that there is no pair of same numbers for 7, so if we replace m with 7, we can get a perfect square.
Hence the answer is 7
Plsssss helpppppppp!!!!
Answer:
3. f
4. b
5. a, x
Step-by-step explanation:
3.
a/f = f/c
f² = ac
f = √ac
Answer: f
4.
x/b = b/c
b² = cx
b = √cx
Answer: b
5.
x/k = k/a
k² = ax
k = √ax
Answer: a, x
Write and solve a proportion for the following problem.
In a recent survey for the student council, Dominique found that 150 students
out of a total of 800 students on campus did not like soda. If half of the student
body was going to attend a dance, how many students could she expect would
want soda?
The students expected to like soda are 324
How to determine the number of studentsfrom the question, we have the following parameters that can be used in our computation:
150 students out of a total of 800 students on campus did not like soda.
This means that
650 students out of a total of 800 students on campus like soda.
i.e. 800 - 150 = 650
When half of the students are considered, we have
Soda = 650/2
Evaluate
Soda = 325
Hence, the number of students is 325
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use the following equation to determine the ratio of the displacement thickness to the boundary layer thickness.
The formula the ratio of the displacement thickness to the boundary layer thickness is u = δ / 2
The term displacement thickness is defined as the distance by which the body surface should be shifted in order to compensate for the reduction in mass flow rate on account of boundary layer formation.
Here we need to find the way to determine the ratio of the displacement thickness to the boundary layer thickness.
As we all know that the boundary layer thickness. ideal fluid viscous force is neglected but in actual viscous stresses are prominent within the boundary layer.
AS we all also know that when fluid flows past a solid body the fluid particles adhere to the boundary and the condition of no-slip occurs.
Here the term non-slip conditions means the velocity of the fluid at body surface will be same as the velocity of body.
Then it can be calculated by using the following formula,
=> u = δ / 2
Complete Question:
Here by using the equation u/U = y/δ and to determine the ratio of the displacement thickness to the boundary layer thickness.
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X
%
60°
4
Z
30%
Y
Given right triangle XYZ, what is the value of tan(Y)?
02/0
O
O
O
3
√3
2
O2√3
3
The value of tan(Y) = 0.75.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and with the trigonometric functions that describe those relationships.
Since triangle XYZ is a right triangle, we can use the trigonometric ratios of sine, cosine, and tangent to find the value of tan(Y). We can use the Pythagorean theorem to find the lengths of the sides XZ and YZ.
XZ = √(X^2 + Z^2) = √(4^2 + 3^2) = 5
YZ = XZ * sin(Y) = 5 * sin(Y)
Since we know the value of XZ and YZ, we can use the tangent function to find the value of tan(Y):
tan(Y) = YZ / XZ = sin(Y) / cos(Y) = YZ / 5 = 3 / 4 = 0.75
So, the value of tan(Y) = 0.75.
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rhombus is inscribed in rectangle as shown. segments and are parallel to . segments and are parallel to . if and what is the area of rectangle ?
The perimeter of the rectangle WXYZ is 96 cm.
Here we see that
WXYZ is a rectangle (given)
Therefore,
∠WZY = 90 = ∠WZS
Since JS is parallel to PZ and JP is parallel to SZ, we get
JPSZ as a rectangle. Similarly, PKWQ, SYMR, and XQRL are rectangles.
JS = PZ
or, JS = PW + WZ
or, JS = KQ + WZ
or, WZ = JS - KQ
or, WZ = 52 - 25
or, WZ = 27
The side of the rhombus PS is a diagonal of rectangle JSPZ
Therefore length of the diagonal PS = √(JP² + JS²)
= √(52² + 39²)
= 65 cm
Hence for PWKQ,
PK = √(PQ² - KQ²)
= √(65² - 25²)
= 60 cm
For triangles ΔPWQ and ΔSYR,
the corresponding sides are parallel to each other. Hence we can say that
PW/YR = WQ/SY = PQ/RS
Therefore,
60/SY = 65/65 [Since they are the sides of a rhombus]
or, SY = 60 cm
Now, SY = SZ + ZY
or, SY = JP + ZY [Opposite sides of a rectangle are equal]
or, ZY = 60 - 39
or, ZY = 21
Hence the perimeter of WXYZ
2(length + width)
= 2(27 + 21)
= 96 cm
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Complete Question
Rhombus PQRS is inscribed in a rectangle JKLM, as shown. Segments PZ and XR are parallel to JM. Segments QW and YS are parallel to JK. If JP = 39 cm, JS = 52 cm, and KQ = 25 cm, what is the perimeter of rectangle WXYZ?
1. Which of the following could be used to find the value of z in the figure? 38° x ft 32 ft 52° 25 ft
Answer:
The value of z can be found using the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. In other words, if a, b, and c are the lengths of the sides of a triangle opposite angles A, B, and C, respectively, and A, B, and C are the angles opposite sides a, b, and c, respectively, then: a/sin(A) = b/sin(B) = c/sin(C). This can be used to solve for the unknown side length.
Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table. A 2-column table with 4 rows is shown. The first column is labeled Blood Type with entries O, A, B, AB. The second column is labeled Number of People with entries 22, 20, 6, 2. Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is .
The probabilities for each type of blood are given as follows:
Type B: 12%.Type AB: 4%.Type B or Type AB: 16%.How to obtain the probabilities?A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.
The total number of people is given as follows:
22 + 20 + 6 + 2 = 50.
6 people have type B, hence the probability is given as follows:
6/50 = 0.12 = 12%.
2 people have type AB, hence the probability is given as follows:
2/50 = 0.04 = 4%.
8 people have either type B or type AB, hence the probability is given as follows:
8/50 = 0.16 = 16%.
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The number of papers ms. Motley grades increases exponentially as
time goes on. On the first day she grades 9 papers , on the second day she grades 27 papers and on the third day she grades 31 papers
How many will she grade in five days?
After many days will it take her to grade 6,000 papers?
The number of papers that Ms. Motley will grade in five days would be = 46 papers (approximately).
How to calculate the number of paper?The number of papers Ms. Motley graded in first day = 9 papers
The number of papers Ms. Motley graded in the second day = 27 papers
The number of papers Ms. Motley graded in the third day = 31 papers
The average number of she graded for the three days is calculated as follows;
9+27+31 = 67/3 = 27.3 papers.
If in 3 days = 27.3 papers
5. days = X papers
Make X papers the subject of formula;
X papers = 5× 27.3/3
= 136.5/3
= 45.5 papers
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we are given a classifier that performs classification on r 2 (the space of data points with 2 features (x1, x2)) with the following decision rule: h(x1, x2)
The decision rule given is x1 + x3 – 10 ≥ 0, which can be rearranged to x1 + x3 ≥ 10. This forms a line in the R2 space, and any point on or above this line will be classified as 1, while any point below this line will be classified as 0.
To draw the decision boundary, we can plot the line x1 + x3 = 10 on a graph with the x1 and x3 axes. The region above the line, where x1 + x3 ≥ 10, would be shaded to indicate that it is where the classifier predicts 1.
It is important to note that the classifier predicts 1 if x1 + x3 – 10 ≥ 0, but in the explanation above I have used x1 + x3 = 10 to draw the decision boundary, this is because x1 + x3 – 10 ≥ 0 is equivalent to x1 + x3 ≥ 10.
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Which pile of laundry has more shirts?
Pile 1
Three pants two shirts
Pile 2
Two shirts 4 pants
Answer:111
Step-by-step explanation:
1111
Help with this equation
Translations between points B and B' and points S and S' are result of using translation vector T(x, y) = (- 3, - 1).
How to determine the translation formula behind two-point transformation
In this problem we find the case of two points being translated by rigid transformation formula. Translations are defined by following equations:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Resulting point.T(x, y) - Translation vector.First, derive translation vector from translation formula:
T(x, y) = B'(x, y) - B(x, y)
T(x, y) = (- 9, - 2) - (- 6, - 1)
T(x, y) = (- 3, - 1)
Second, check that point S' is the image of point S:
S'(x, y) = S(x, y) + T(x, y)
S'(x, y) = (5, 1) + (- 3, - 1)
S'(x, y) = (2, 0)
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How many pounds of chamomile tea that costs $18.10 per pound must be mixed with 12 lb of orange tea that costs
$ 12.22 per pound to make a mixture that costs $14.74 per pound?
lb
9 pounds of Chamomile tea needed to make a mixture that costs $14.74 per pound
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
let:
x pounds of Chamomile tea needed
Therefore,
18.10X + 12.22(12) = 14.74(12 + x)
18.10X + 146.64 = 176.88 + 14.74x
3.36X = 30.24
X = 9 pounds
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How do you know when an expressionis in its simplest form?
Answer:
Uma expressão está e sua forma mais simples quando não há mais nenhuma simplificação possível. Isso significa que não há mais nenhum termo que possa ser combinado ou cancelado, e que todos os termos estão na sua forma mais simples. Além disso, todos os fatores e expoentes devem estar na sua forma mais simples.
PLEASE HELP ITS DUE TODAY AND WOULD GIVE A LOT OF POINTS IF SOMEONE SHOWS THE ANSWER ANY SPAM ANSWERS WILL BE REPORTED!
To find the slope of the line given the points (0,2) and (1,0), we can use the formula: m = (y2 - y1) / (x2 - x1).
m = (0 - 2) / (1 - 0) = -2
Using point-slope form, we can write the equation of the line as:
y - 2 = -2 (x - 0)
y = -2x + 2
To get the inequality we just need to change the equation to the inequality by replacing the equal sign with the inequality sign.
So the linear inequality for the points (0,2) and (1,0) is:
y >= -2x + 2
-5x + -4 + 1 - 4x
show your work to combine "like terms"
Answer:
-9x + -3
Step-by-step explanation:
1. Primeiro, vamos penteinar SO prazoos que possuem um mesmamã variável, ou seja, -5x e -4x:
-5x - 4x
2. Agora, vamos penteinar SO prazoos que possuem o mesmo coeficiente, ou seja, 1 e -4:
-5x - 4x + 1 -
4 3. Por fim, vamos penteinar SO prazoos que possuem o mesmo coeficiente, ou seja, -4 e 1:
-5x - 4x + -4 + 1
the perimeter of a rectangle is 700 feet. let x represent the width of the rectangle. write a quadratic function for the area a of the rectangle in terms of its width.
The perimeter of a rectangle is 700 feet. A quadratic function for its area in terms of its width is A(w) = 350w - w²
The formula for the perimeter of a rectangle is given by:
p = 2w + 2l
While its area is:
A = w x l
Where:
w = width
l = length
Substitute p = 700 ft.,
700 = 2w + 2l
700 = 2(w + l)
w + l = 350
l = 350 - w
Substitute l = 350 - w into the formula of area:
A = w x l
A = w (350 - w)
A(w) = 350w - w²
Hence, the expression is: A(w) = 350w - w²
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solve: a + 1/10 = 5/10.
Answer:
5/10 - 1/10 = 4/10
a = 4/10
4/10 + 1/10 = 5/10
Step-by-step explanation:
Hope it helps! =D
Complete the following table.
Population Growth Rate, k Doubling Time, T Country A 1.3% per year
Country B. 30 years
Population Growth Rate, k Doubling Time,
T
Country A
1.3% per year
years
Country B [% per year
30 years
(Round doubling time to the nearest whole number and round growth rate to the nearest tenth.)
The numbers that correctly complete this table are 53.83 years and 2.12%
How to calculate the doubling time using the population growth?The formula that can be used is:
Doubling time = 70 (constant)/ population growth
Doubling time =70 / 1.3
Doubling time = 53.84 years
How to calculate the population growth using the doubling time?The same formula can be applied:
33 = 70 (constant)/ population growth
population growth = 70 /33
population growth = 2.12 %
Based on this, the correct numbers to complete the table are 53.83 years and 2.12%.
Note: Here is the missing table:
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What goes in the blank box?
On solving the linear equation y = 3/2x - 29, the missing value for x is obtained as 14.66.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The table shows the points (18,-2) and (16,-5).
The slope-intercept form of an equation/function is - y = mx + b
To find the slope m use the formula -
(y2 - y1)/(x2 - x1)
Substituting the values in the equation -
[-5 - (-2)]/[16 - 18]
(-5 + 2)/(-2)
-3/-2
3/2
So, the slope point is obtained as m = 3/2.
The equation becomes - y = 3/2x + b
To find the value of b substitute the values of x and y in the equation -
-2 = 3/2(18) + b
-2 = 27 + b
b = -2 - 27
b = -29
So, the value for b is -29.
Now, the equation becomes -
y = 3/2x - 29
To find the missing value substitute the value of y = -7 in the equation -
-7 = 3/2x - 29
3/2x = -7 + 29
3/2x = 22
x = 22 × 2/3
x = 44/3
x = 14.66
Therefore, the value of x = 14.66.
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And chemical reaction one or more new substances are created. Are new atoms created?
No, new atoms are not created in a chemical reaction. Atoms are rearranged or combined to form new compounds. The total number of atoms before and after the reaction is the same. This is known as the law of conservation of mass.
What is chemical reaction?The law of conservation of mass states that in a closed system, the total mass of the reactants (the substances before the reaction) is equal to the total mass of the products (the substances after the reaction). This means that the atoms present in the reactants must also be present in the products, but in different combinations or arrangements.
Therefore, It's important to note that in some reactions, atoms can be transformed into different forms, for example, a carbon atom can be transformed into a carbon dioxide molecule, but the mass of the atoms remains the same.
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connsider the rectangle with a width of 18 in and a length of 39 in, write a ratio of the length to the width and simplify
Answer: 13:6
Ratio of length to width = 39:18
Divide both by 3 to simplify
13:6
Written as a simplified polynomial in standard form, what is the result when (x+5) 2 is subtracted from 1 1? Answer:
The expression for the simplified polynomial would be - x² - 10x - 24.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the polynomial ( x + 5 )² is subtracted from 1. The simplified polynomial can be written as:-
Polynomial = 1 - ( x + 5 )²
Polynomial = 1 - ( x² + 10x + 25 )
Polynomial = 1 - x² - 10x - 25
Polynomial = -x² - 10x - 24
Hence, the polynomial can be written as -x² - 10x - 24.
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use the centroid therom and the fogure for exercises 5-8 QU RS and PT are medians of PQR rs = 21 VT=5 find each length
The length of RV is 14, SV is 7, TP is 15 and VP is 10. The solution has been obtained using centroid theorem.
What is centroid theorem?
According to the centroid theorem, the centroid of a triangle is located at a distance of 2/3 between the vertex and the midpoint of the sides.
In the given figure, V is the centroid of the triangle
The medians RS and PT intersect at V.
Now, since V divides each median in the ratio 2:1, therefore,
⇒VT = 1/3 of PT
⇒PT = 3*VT
Since, VT=5
⇒PT = 15 = TP
So, VP = PT - VT
⇒VP = 15-5
⇒VP = 10
Similarly,
⇒RV = 2/3 of RS
Since, RS = 21, therefore,
⇒RV = 2/3 of 21
⇒RV = 14
So, SV = RS-RV
⇒SV = 23-14
⇒SV = 7
Hence, the length of RV is 14, SV is 7, TP is 15 and VP is 10.
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The complete question is attached below
problem 1. create two vectors named v and w with the following contents: v : 21,10,32,2,-3,4,5,6,7,4,-22 w : -18,72,11,-9,10,2,34,-5,18,9,2 a) print the length of the vectors b) print all elements of the vectors c) print elements at indices 3 through 7. d) print the sum of the elements in each vector. e) find the mean of each vector. (use r's mean() function) f) sort the vectors in descending order and then print. g) add vectors v and w. h) multiply vectors v and w. i) in vector v select all elements that are greater than zero. j) in vector w select all elements that are less than zero. k) multiply each element of vector v by 6. and then print. l) find maximum and minimum of each vector. m) in each vector, replace all negative values with the average of all numbers in the vector.
Vector v and w have lengths of 11 and contain elements of 21, 10, 32, 2, -3, 4, 5, 6, 7, 4, -22 and -18, 72, 11, -9, 10, 2, 34, -5, 18, 9, 2 respectively. The addition, multiplication, and sorting of both vectors were calculated, as well as the means, maximums, and minimums.
a) The lengths of the vectors v and w are both 11.
b) Vector v contains the elements 21, 10, 32, 2, -3, 4, 5, 6, 7, 4, -22 and vector w contains the elements -18, 72, 11, -9, 10, 2, 34, -5, 18, 9, 2.
c) Elements 3 through 7 of vector v are 2, -3, 4, 5, 6 and elements 3 through 7 of vector w are 10, 2, 34, -5, 18.
d) The sum of the elements in vector v is 60 and the sum of the elements in vector w is 91.
e) The mean of vector v is 5.454545454545455 and the mean of vector w is 8.272727272727273.
f) Vector v is sorted in descending order as 32, 21, 10, 7, 6, 5, 4, 4, 2, -3, -22 and vector w is sorted in descending order as 72, 34, 18, 11, 10, 9, 2, 2, -9, -5.
g) The addition of vectors v and w is 53, 82, 28, 2, 7, 13, 6, 8, -7, 4, -20.
h) The multiplication of vectors v and w is -378, 720, 352, -18.
i) Elements in vector v that are greater than zero are 21, 10, 32, 2, 4, 5, 6, 7, 4.
j) Elements in vector w that are less than zero are -18, -9, -5.
k) Vector v multiplied by 6 is 126, 60, 192, 12, -18, 24, 30, 36, 42, 24, -132.
l) The maximum of vector v is 32 and the minimum of vector v is -22. The maximum of vector w is 72 and the minimum of vector w is -9.
m) In vector v, all negative values are replaced with the average of all numbers in the vector, which is 5.454545454545455. In vector w, all negative values are replaced with the average of all numbers in the vector, which is 8.272727272727273.
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The bond indenture for the 10-year, 9% debenture bonds issued January 2, 20Y5, required working capital of $100,000, a current ratio of 1.5, and a quick ratio of 1.0 at the end of each calendar year until the bonds mature. At December 31, 20Y6, the three measures were computed as follows:
$52 hundred is introduced to the December 31, 20Y6.
What is proportion?A proportion is a unit of fairness possession in the capital inventory of a corporation, and may discuss with devices of mutual funds, restrained partnerships, and actual property funding trusts. Share capital refers to all the stocks of an enterprise. The proprietor of stocks in a employer is a shareholder (or stockholder) of the corporation.
Note that proportion is an indivisible unit of capital, expressing the possession dating among the employer and the shareholder.
Given that bond indenture for the 10-year, 9% debenture bonds issued January 2, 20Y5, required working capital of $100,000, a current ratio of 1.5, and a quick ratio of 1.0 at the end of each calendar year until the bonds mature.
The profits acquired from the possession of stocks is a dividend. There are extraordinary varieties of stocks consisting of fairness stocks, bonus stocks, proper stocks, and worker inventory choice plan stocks.
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two rooms in a tiny house share a wall the area of the living room is 54. The area of the bedroom is 42. the expression 54+42 represents the total area in square feet. Write and equivalent express to represent the total area as a product using the GCF as one of those factors
54+42=_(_+7)
If two rooms in a tiny house share a wall the area of the living room is 54. The expression to represent the total area as a product using the GCF as one of those factors is: 6×3+ 6× 8 and 6(3 + 8).
How to find the total area?Living room area = 54 square feet
Area of the bedroom = 42 square feet
Total area of the two rooms = 54 + 42
Total area of the two rooms = 66 square feet
So, the expressions that represent the total area of the two rooms is: 6×3+ 6× 8 and 6(3 + 8).
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Answer:
54+42=6(9+7)
Step-by-step explanation:
If 4√5 = √n, the value of n is
A. 10
B. 20
C. 80
D. 100
5% of batteries produced at a factory are defective. Use the binomial model to find the probability that 1 battery in a pack of 16 is defective.
The probability that 1 battery in a pack of 16 is defective is approximately 0.3706 or 37.06%.
How to evaluate using the binomial modelThe binomial model can be used to calculate the probability of a specific number of successful outcomes (in this case, defective batteries) in a fixed number of trials (in this case, 16 batteries) with a constant probability of success (in this case, 5%) for each trial.
The probability of 1 defective battery in a pack of 16 can be calculated using the formula:
P(X = 1) = (¹⁶C₁) × (0.05)¹ × (0.95)⁽¹⁶⁻¹⁾
where (¹⁶C₁) is the binomial coefficient, which is equal to 16.
So;
P(X = 1) = (¹⁶C₁) × (0.05)¹ × (0.95)⁽¹⁶⁻¹⁾
P(X = 1) = 16 × 0.05 × 0.95¹⁵
P(X = 1) = 0.3706
Therefore, the probability that 1 battery in a pack of 16 is defective is approximately 0.3706 or 37.06%.
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