In the triangle below, angle BCA is obtuse.
Calculate angle BCA to 1 d.p

In The Triangle Below, Angle BCA Is Obtuse.Calculate Angle BCA To 1 D.p

Answers

Answer 1

Answer:

56.27⁰

Step-by-step explanation:

a/sinA =b/sinB

35/sin 50⁰ = 38/sin B

cross multiply

35sinB = 38sin50⁰

sin B=29.1096/35

sinB=0.8317 find the inverse sine

angle BCA= 56.27⁰


Related Questions

If 65% of a number is 39 and 35% of the same number is 21, find 100% of that number. Help!

Answers

Answer:

60

explanation

divide 39 by 65%,

you will get

39 / ( 65/ 100)

= 39 * (100/65)

= 39 * (20 /13)

= 3*20

= 60

The number of boys in a school class is given by x+6 The number of girls is given by x-y. What expressions represent the total number of students?

Answers

Answer:

x+6+x-y = 2x-y+6

Step-by-step explanation:

lisa prints parking passes for the baseball stadium a month in advance. the stadium parking lot holds 20,000 cars. lisa prints 240,000 passes. how many home games are scheduled next month?

Answers

If the stadium parking lot holds 20,000 cars and lisa prints 240,000 passes then 12 home games are scheduled next month.

Given that Lisa prints parking passes for the baseball stadium a month in advance the stadium parking lot holds 20,000 cars.
Lisa prints 240,00 passes,

We have to find the number of  home games are scheduled next month.

To find this we have to division of 240000 by 20000
240000/20000 = 12
Divide Two lakh forty thousand by twenty thousand we get twelve.

By means of division we get 12 Hence, 12 mant home games are scheduled next month

A division is a process of splitting a specific amount into equal parts.

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a brain-building website claims that it can improve concentration, problem solving, and creativity through simple game-like experiences. darius wants to test the website's claims by creating a hypothesis and designing a study around the games provided on the website. in order to develop a solid hypothesis, darius should:

Answers

In order to develop a solid hypothesis, Darius should:
1. Identify the specific cognitive skills he wants to measure.
2. Develop a control group to compare the results of the study.
3. Establish a baseline of cognitive skills for the participants before they use the website.
4. Create a timeline for the study and determine how often participants will use the website.
5. Outline the criteria for success and failure of the study.
Final answer:

To form a solid hypothesis, Darius needs to have defined parameters for concentration, problem-solving, and creativity, a designed measurable methodology, and a control group for comparison. An example of a hypothesis could be that individuals who use the brain-building website will display significant improvement compared to those who don't. Darius could test his hypothesis by measuring the changes in the parameters in two groups of participants at different time intervals.

Explanation:

Darius needs to focus on three primary aspects to construct a hypothesis that can test the claims of the brain-building website. These include clearly defining parameters for concentration, problem-solving skills, and creativity, designing a measurable methodology to observe any potential changes in these parameters, and determining a control group for comparison with the group using the website.

An example of a hypothesis might be, 'Individuals who regularly engage with the brain-building website for a period of six weeks will display a statistically significant improvement in validated measures of concentration, problem-solving skills, and creativity compared to a control group of similar individuals not using the website.'

Darius could then design a study where one group of participants regularly use the website over a period of time while another group does not, measuring changes in the defined parameters in both groups at the start, middle, and end of the study period.

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Pleeeeeeeeeeaaaaaaaase help me

Answers

the answer is 1!
hope this helps

if someone could please help me with these math problems i would love that thank you

Answers

Answer:−2π, -6.25, 67/10, 3√5, 6 3/4

Step-by-step explanation: Search math w ay on the internet for any further math questions :)

Select the correct answer. What is an approximate solution to this equation? 4/x-5= √x+3+2

Answers

Answer:

x = 0.37686455

Step-by-step explanation:

Answer: x≈0.37686455

Step-by-step explanation:

a business magazine was conducting a study into the amount of travel required for mid-level managers across the u.s. eighty-six managers were surveyed for the number of days they spent traveling each year. mid-level manager travel days traveling frequency 0 -6 13 7 -13 25 14 -20 35 21 -27 6 28 -34 4 35 and above 3 step 1 of 2 : determine the cumulative frequency of the third class.

Answers

The cumulative frequency of the third class is 73. This means that 73 out of the 86 mid-level managers surveyed spent between 14 and 20 days traveling each year.

The cumulative frequency of the third class is the sum of the frequencies of all the classes up to and including the third class. In this case, the frequency of the third class is 35, and the frequencies of the first two classes are 13 and 25, respectively. So, the cumulative frequency of the third class is:

13 + 25 + 35 = 73

This means that 73 out of the 86 mid-level managers surveyed spent between 14 and 20 days traveling each year.

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Create an original expression of eight terms that includes at least three operations and two different variables.

Answers

Therefore , the solution of the given problem of expression comes out to be the 8 expressions are given below.

Describe this expression.

Addition, multiplication, division, and other mathematical operations are required. When combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact contains values, parameters, and operations like additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various phrases and words.

Here,

Given :

Original expression of eight terms including 3 operations are:

=> 10*2-10 =10

=> 100 * 2 -100 = 100

=> 50/2 - 10 = 15

=> 400/2 - 100 + 100 = 200

=> 500 - 100 + 200 = 600

=> 10/2 - 5=0

=> 6 * 10 - 8 = 52

=> 10*8 - 8 =72

Therefore , the solution of the given problem of expression comes out to be the 8 expressions are given below.

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if two dice are rolled, what is the probability that the sum of the upturned faces will equal 7? provide your answer as a decimal and round to the hundredths place.

Answers

The probability of the sum of the upturned faces equal to 7 is Decimal answer is 0.1666667  and rounding to the hundredths place is 16.6%.

There are 66=36 potential pairs of die rolls because the two are independent of one another. Only the following pairs of rolls total seven out of those. (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). The probability of our two die rolls adding up to 7 would then obviously be: 6 ÷ 36 = 1 ÷ 6 = 0.1666667  rounding to the hundredths place = 16.6%. Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.

       

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Solve for p. 25(p − 949) = 650

Answers

Answer:

p = 975

Step-by-step explanation:

Divide both sides by 25

 25 (p - 949)

-------------------- = 650/25

         25

Then Simplify

p - 949 = 26

Move 949 to the right side

And For your answer you will get:

p = 975 (sorry if i got it wrong)

ou train a ridge regression model, you get a r^2 of 1 on your training data and you get a r^2 of 0 on your validation data; what should you do?

Answers

It is important to remember that model selection and improvement is an iterative process and may require trying several different approaches before arriving at the best solution.

A high R^2 value of 1 on the training data and a low R^2 value of 0 on the validation data suggests that the model is overfitting. Overfitting occurs when a model is too complex and has learned the training data too well, but has poor generalization performance on new, unseen data (validation data in this case).

To address this issue, you can try the following:

Reduce the amount of features in the model or regularise it to restrict the size of the coefficients.

Increase the size of the training dataset: A bigger training dataset may provide the model a better grasp of the link between the features and the target variable.

Cross-validation: Use cross-validation techniques to better estimate the model's performance on fresh data.

Attempt a different model: A other model may be more appropriate for the problem and data.

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molly nelson has been collecting temperatures in degrees fahrenheit, daily over the past five spring seasons, to determine the optimal point to plant her heirloom tomatoes. because the difference between each degree is the same, irrelevant of the temperature, this is what type of measurement scale?

Answers

The type of measurement scale is interval. A quantitative measuring scale with order, meaningful and equal differences between the two variables, and arbitrary zero presence is known as an interval scale.

In mathematics, an interval is quantified in terms of numbers. Every number between two specific integers is considered to be an interval. Between those two values, this range encompasses all real numbers. Real numbers can be of any type you can imagine. A fourth is a musical interval that spans four staff positions in Western music notation, and a perfect fourth is one that spans five semitones. The interval can be calculated by counting both the lines or spaces that the two notes are on as well as all the lines or spaces in between. A third of a second separates B from D. A sixth space separates A from F.

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口 4. Which of the following is not a step in graphing a logarithmic function?
Switch the order of the x and y values in the ordered pairs.
O Create a table of values from the exponential function.
O Draw a connected line through the points to show the graph of the logarithmic function.
Graph the ordered pair of the exponential inverse function.

Answers

Answer:

899

Create a divison

17÷9=12

1222

7888

909

6762

177÷12×22+22

Note that the step that is not involved in graphing a logarithmic function is: "Switch the order of the x and y values in the ordered pairs." (Option A)

What is the rationale for the above response?

With regard to the graphing problem above, note that switching the order of the x and y values in an ordered pair is not a step in graphing a logarithmic function because it is not a necessary or relevant step in the process.

To graph a logarithmic function, one typically follows the steps of creating a table of values, plotting the points, and then drawing a line of best fit to show the graph. The order of the x and y values in the ordered pair remains unchanged in this process.

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Please help me. NEED THIS ASAP

Answers

The solution to the system of Inequalities is gotten as;  (1, 1)

How to solve Inequalities Graphically?

The system of inequalities given for which we are to graph are;

y ≤ x + 2

y < -2x - 1

Now, to find the solution of the system of Inequalities, we will graph both of them on the same graph and the solution will be the point at which both lines intersect each other.

The graph attached shows that the solution of the inequalities is (1, 1)

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coseca _cota =tan a/2​

Answers

coseca_cota=tan a/2 divided by 3x67342

Solve for x and all missing angles

Answers

The value of x in the first figure is 10

The value of x in the second figure is 12

How to find x

In the first figure the value of x is solved using the concept of angels on a straight line which  is 180 degrees

Therefore,

6x - 10 + 4x + 6 + 7x + 14 = 180

collecting like terms

6x + 4x + 7x + 6  + 14 - 10  = 180

17x + 10 = 180

17x = 180 - 10

17x = 170

x = 10

The second figure is solved using alternate interior angles

4x + 10 = 58

solving for x

4x = 58 - 10

4x = 48

x = 12

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what is the correct answers

Answers

The inequality to model the situation will be 24b ≤ 250

How to calculate the inequality

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Based on the information, the inequality to model the situation will be 24b ≤ 250. The number of baseball will be:

24b ≤ 250

b ≤ 250 / 24

b ≤ 10

The number of baseball will be 10 or less.

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if 800 feet of fencing is used to enclose a rectangular plot of land that borders a river, what is the maximum area that can be enclosed?

Answers

Answer:

Below

Step-by-step explanation:

The maximum area of land that can be enclosed is a SQUARE

  using the river as one side of the square means there are 3 sides that total 800 ft     800 / 3 = 266 2/3 ft per side

  area would then be L x W =    266 2/3  * 266 2/3 = 71111  1/9 ft^2

East Middle’s football team has 20.9 liters of sports drink on the field during the game. Each player receives the same amount of sports drink.

If East Middle’s football team consists of 22 players, how much sports drink, in liters, does each player receive?

(Write the answer as a decimal to the nearest hundredth.)

Answers

Each athlete receives about 0.95 liters of sports drinks.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

To find out how much sports drink each player receives, we need to divide the total amount of sports drinks by the number of players.

20.9 liters ÷ 22 players

Apply the division operation, and we get

= 0.95 liters per player

So, each player receives approximately 0.95 liters of sports drinks. To the nearest hundredth, this is 0.95 liters.

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I need help with tease questions

Answers

In the expression "3(x+2)," there is only one variable, "x." There are two factors in this expression: "3" and "(x + 2)." The "3" is performing multiplication , so it is multiplying the expression "(x + 2)" by 3, the answer is product.

In mathematics, a variable is a symbol that represents a value that can change or vary. Variables are often used in mathematical equations and formulas to represent unknown or unspecified values.

A factor is an element in a mathematical expression that is being multiplied by another element In general, a mathematical expression can have multiple factors. The factors of a polynomial are the terms that are being multiplied together to form the polynomial.

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Prove the Isosceles Base Angles Theorem
Given: GB GD, GU bisects ZDGB
Prove: ZB ZD
Statements
1. GB = GD
2.
3.
4. GU GU
5.
6. ZB ZD
Reasons
1. Given
2.
3. Definition of bisects
4.
5.
6.

Answers

Answer:

The Isosceles Base Angles Theorem states that if two sides of a triangle are equal, then the angles opposite to those sides are equal.

Given: GB = GD

Since GB = GD, triangle ZDGB is isosceles.

By definition of bisects, GU bisects ZDGB.

By the Angle Bisector Theorem, ZG/ZU = GD/GU.

Because GB = GD, ZG = ZU.

By substitution, ZG/ZU = ZG/ZU. Hence, ZB = ZD.

Therefore, ZB ZD, which proves the Isosceles Base Angles Theorem.

5.4x10^7 bacteria are measured to be in a dirt sample that weighs 1 gram. Use scientific notation to express the number of bacteria that would be in a sample weighing 24 grams. (15pts)

Answers

Number of bacteria that would be in a sample weighing 24 grams is,

⇒ 1.296 × 10¹⁰

What is Scientific notation?

Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.

We have to given that;

There are 5.4 x 10⁷ bacteria are measured to be in a dirt sample that weighs 1 gram.

Hence, Number of bacteria that would be in a sample weighing 24 grams is,

⇒ 24 × 5.4 × 10⁷

⇒ 129.6 × 10⁷

⇒ 1.296 × 10¹⁰

Thus, Number of bacteria that would be in a sample weighing 24 grams is,

⇒ 1.296 × 10¹⁰

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how much would $20,000 due in 50 years be worth today if the discount rate were 7.5%?

Answers

$20,000 due in 50 years would be worth approximately $6,307.51 today, if the discount rate were 7.5%.

How to calculate the present value

The present value of $20,000 due in 50 years, discounted at 7.5%, can be calculated using the formula:

PV = FV / (1 + r)^t

Where:

PV = present value

FV = future value ($20,000)

r = discount rate (7.5%)

t = number of years (50)

Plugging in the numbers, we get:

PV = $20,000 / (1 + 0.075)^50

PV = $20,000 / (1.075)^50

PV = $20,000 / 3.16907

PV = $6,307.51

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If 10 miles is about 16 kilometers how many kilometers is 40

Answers

16 × 40 = 640

Therefore, 40 miles is 640 kilometers.

each pair of opposite sides of an octagon are parallel. we know three interior angles of the octagon are and what is the degree measure of the largest interior angle of the octagon?

Answers

An octagon is a two-dimensional shape with eight sides, the degree measure of the largest interior angle of the octagon.

Each pair of opposite sides of the octagon are parallel. We can use the formula to determine the degree measure of the largest interior angle of the octagon.

The formula used is: 180(n-2)/n, where n represents the number of sides in the shape. In this case, n is 8, so the equation would be: 180(8-2)/8, which would give us the result of 160.

Therefore, the degree measure of the largest interior angle of the octagon is 160 degrees. This can also be calculated by adding up the internal angles of the octagon, as each interior angle is equal to 360 divided by the number of sides, in this case 8. 360/8 = 45, so 8x45 = 360. If we add all the angles together (4x45 + 3x45 + 3x45) we get 360, which is equal to the degree measure of the largest interior angle of the octagon.

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Write your answers as decimals or whole numbers.

Answers

The dimensions of the sides DH, VW, and WX are, respectively, 14, 12, and 30.

Similar figures and side measures

Two figures are known to be similar if the ratio of their similar sides is equal to a constant.

From the polygons given, the following expressions are true;

DH/12 = 21/18

18DH = 12 × 21

18DH = 252

DH = 14

Similarly:

VW/14 = 18/21

21VW = 14 * 18

21VW = 252

VW = 12

Also;

35/WX = 21/18

21WX = 35 * 18

21WX = 630

WX = 30

Therefore the measure of the sides DH, VW and WX are 14, 12 and 30 respectively.

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Question 6
Isosceles trapezoids ABCD and PQRS are similar. The perimeter of ABCD is 72.8 inches and
the perimeter of PQRS is 91 inches. If the legs of ABCD measure 12.4 inches, what are the measures of the legs of PQRS?
O 19.375 inches
O 30.6 inches
O 15.5 inches
O9.92 inches

Answers

The solution is Option C.

The measures of the legs of the isosceles trapezoid is given by the proportion equation L₂ = 15.5 inches

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the measure of legs of PQRS trapezoid be L₂

Let the first trapezoid be represented as T₁ = ABCD

The measure of the legs of T₁ = L₁

And , Let the second trapezoid be represented as T₂ = PQRS

The measure of the legs of T₂ = L₂

The perimeter of T₁ = 72.8 inches

The perimeter of T₂ = 91 inches

The measure of L₁ = 12.4 inches

Now , the two trapezoids are similar

So , measure of L₁ / perimeter of T₁ = measure of L₂ / perimeter of T₂

Substituting the values in the equation , we get

( 12.4 / 72.8 ) = L₂ / 91

Multiply by 91 on both sides of the equation , we get

The measure of L₂ = ( 12.4 x 91 ) / 72.8

The measure of L₂ = 15.5 inches

Hence , the measure of legs of trapezoid is 15.5 inches

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5. Brad is using the following formula to model
the yearly depreciation in the new van he just
y = 25000(.9)^t
bought:
Question a): What is the y-intercept of this
exponential equation?
Question b): By what percentage is the new van
losing value each year?
Question c): What is the decay factor of the van
per year?

Answers

The y intercept is $25000, the percentage loss is 10% and the decay factor is 0.9

How to solve an equation?

An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.

The standard form of an exponential function is:

y = abˣ

where a is the initial value and b is the multiplication factor.

Let y represent the cost of a van after x years. It is given by:

y = 25000(0.9)ˣ

hence, comparing gives a = 25000, b = 0.9

a) The y intercept is $25000

b) Percentage loss = 1 - 0.9 = 0.1 = 10%

b) Decay factor = b = 0.9

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NEED HELP NOW DUE ON FRIDAY 25 POINTS!!!!!!!!!!!!!!
Find the perimeter and area of triangle ABC with altitude BD, given A (-5, 2), B (-3, 5), C (5, 2), and D (-3, 2).

Answers

The perimeter and area of triangle ABC are 22.15 units and 15 square units

How to find the perimeter and area of triangle ABC

From the question, we have the following parameters that can be used in our computation:

A (-5, 2), B (-3, 5), C (5, 2), and D (-3, 2).

For the perimeter, we calculate the side lengths using the distance formula

So, we have

AB = √[(-5 + 3)² + (2 - 5)²] = √13

AC = √[(-5 - 5)² + (2 - 2)²] = 10

BC = √[(-3 - 5)² + (5 - 2)²] = √73

So, we have

Perimeter = √13 + 10 + √73

Evaluate

Perimeter = 22.15 units

For the area, we have

Area = 0.5 * | (x1 * y2 + x2 * y3 + x3 * y1) - (x2 * y1 + x3 * y2 + x1 * y3) |

Area = 0.5 * | (-5 * 5 + -3 * 2 + 5 * 2) - (-3 * 2 + 5 * 5 + -5 * 2) |

Area  = 15 square units

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