In triangle ABC, ACB = 67°, AB= 6.9 cm and
BC = 5.7 cm.
a Calculate angle BÂC.

b Hence find the area of AABC.

Please answer all questions to 3 correct sig figs.

Answer:

: an equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.

Step-by-step explanation:

includeing zero

add as brainleist plz

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

Answer:

C, D

Step-by-step explanation:

Compare each choice with

x² + 5x - 8 = 0

A.

x² + 7x - 9 = 2x + 1

x² + 5x - 10 = 0

No

B.

x² + 4x - 5 = x - 3

x² + 3x - 2 = 0
No

C.

x² + 10x - 2 = 5x + 6

x² + 5x - 8 = 0

Yes

D.

12x + 4 = 7x + 12 - x²

x² + 5x - 8 = 0

Yes

Answer: C, D

Answer:

False

Step-by-step explanation:

The sequential search algorithm is very simple to implement. It scans all the elements in the array starting at the first element, examining each element in turn and stopping when it finds a match

However, it is very inefficient since you are comparing  all the elements prior to the given element

This could be very time consuming for large data arrays

False The sequential search algorithm is simple and most efficient to use with a large data array.

False. While the sequential search algorithm is simple to implement and understand, it is not the most efficient method for searching large data arrays. The sequential search algorithm checks each element in the array one by one until it finds the desired value, resulting in an average case-time complexity of O(n). In comparison, other search algorithms, such as the binary search algorithm, offer better efficiency, particularly when dealing with large datasets. The binary search algorithm, for instance, has a time complexity of O(log n), making it significantly faster for large data arrays.

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Answer:

the correct answer is 65 degrees

Step-by-step explanation:

The angle is 65 degrees

Answer:

it is 75°

Step-by-step explanation:

so do you see the red line? it is in between 70° and 80° which means it's 75°

Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

Step-by-step explanation:

If A [4 3 ] is a singular matrix find the

[a 3 ] value of 'a'.

a=4

Answer:

y=3/2x+1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Standard form of linear equation:

Using the given points, we find the slope and y-intercept, in slope-intercept form of y = mx + b

Converting to standard form

Answer:

  5 in²

Step-by-step explanation:

You want the surface area of a square pyramid with side length 1 in and slant height 2 in.

The area of one triangular face is ...

  A = 1/2bh

  A = 1/2(1 in)(2 in) = 1 in²

The area of the square base is ...

  A = s²

  A = (1 in)² = 1 in²

The total surface area is ...

  total area = base area + 4 × area of one face

  total area = 1 in² + 4 × 1 in²

  total area = 5 in²

The surface area of the square pyramid is 5 square inches.

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The height of the box given is :

6 feet.

We are given that the box is shaped like a rectangular prism, with a base measuring 4 feet by 5 feet and a total surface area of 148 square feet. To find the height, we'll use the formula for the surface area of a rectangular prism:

Surface Area = 2lw + 2lh + 2wh

Where l is the length, w is the width, and h is the height.

We know the surface area (148 sq ft), length (4 ft), and width (5 ft). Let's plug in the values and solve for h:

148 = 2(4)(5) + 2(4)h + 2(5)h

148 = 40 + 8h + 10h

Now, we'll isolate h:

108 = 18h

h = 108 / 18

h = 6 feet

So, the height of the box is 6 feet.

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The coefficient of determination for the model is 0.8675

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

anova

                      df      ss                   ms                f                significance f

regression     11   21.2410567  1.93100515 23.20340372 9.2023e-14

residual          39 3.245610081 0.08322077

total               50  24.48666678

The coefficient of determination for the model is calculated as

r² = 1 - RSS/TSS

From the table, we have

RSS = 3.245610081

TSS = 24.48666678

Substitute the known values in the above equation, so, we have the following representation

r² = 1 - 3.245610081/24.48666678

Evaluate

r² = 0.8675

Hence, the value of r² is 0.8675

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The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines, cake can be cut into 20 equal parts.

This is further explained below.

Generally, In spreadsheet software, gridlines are the light gray lines that divide the cells, rows, and columns. Gridlines are often used to maintain track of data. Gridlines are widely used in popular spreadsheet programs like Spreadsheet.

In conclusion, If the cuts can only be done along the gridlines, the cake may be divided into 20 equal pieces when cutting along the lines.

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Answer: To find the height of the flagpole, we can use the fact that the angles of depression and elevation are complementary angles, meaning that they add up to 90°.

Let's call the height of the flagpole "h". Then, we have:

h - 6 = h * tan(4°) (the height difference between Javier and the bottom of the flagpole)

and

h = 6 + h * tan(25°) (the height of the top of the flagpole as seen by Javier).

By substituting the first equation into the second, we can find h:

h = 6 + h * tan(25°)

h = 6 + h / tan(65°)

h * tan(65°) = 6 + h

h * tan(65°) - h = 6

h = 6 / (tan(65°) - 1)

Using a calculator, we find that h = approximately 43.3 feet. Rounding to the nearest foot, the height of the flagpole is 43 feet.

Step-by-step explanation:

The dependent variables in the following scenario are whether the bacon becomes moister and more flavorful and the independent variable is the cooking method.

In statistics, a dependent variable is one whose value is determined by another set of variables called independent variables. To put it simply, the dependent variable is the thing that is being tested or calculated. The dependent variable is sometimes known as the "outcome variable." In the given scenario, the chef was curious as to whether or not frying or microwaving the bacon would produce a moister and more flavorful final product. The bacon is the result of the experiment, hence it is a dependent variable.

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The value of equation which is given is 12.

According to the Statement

we have given the expression and the some values and we have to find the values of the expression after put the given values in it.

So,The given values are:

h = 8. j = -1, and k = -12

And the given equation expression are J³k/h⁰

Now Substitute the value in the expression then

J³k/h⁰

After putting the values the expression become

(-1)³-12/8⁰

(-1)(-12)/1

After solving the value become

12/1

12.

now the value of expression become is the 12 after put all the values in it.

So, The value of equation which is given is 12.

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The standard deviation of a probability distribution must be a non-negative value. It represents the measure of the dispersion or spread of the data in the distribution. The standard deviation quantifies how much the values in the distribution deviate from the mean.

Mathematically, the standard deviation (σ) is calculated as the square root of the variance (σ^2) of the probability distribution. The variance is obtained by calculating the average of the squared differences between each data point and the mean, weighted by their respective probabilities.

The standard deviation provides important information about the shape and characteristics of the distribution. A smaller standard deviation indicates that the data points are closer to the mean, resulting in a more concentrated or less dispersed distribution. Conversely, a larger standard deviation indicates that the data points are more spread out from the mean, resulting in a wider or more dispersed distribution.

The standard deviation of a probability distribution must be a non-negative value and is a measure of the dispersion or spread of the data in the distribution.

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Answer:

wheres the pic

Step-by-step explanation:

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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Therefore, the average height of the particle on the interval [-1, 5] is approximately 33.67 feet.

To find the average height of the particle on the interval [-1, 5], we need to evaluate the definite integral of the position function f(x) = 3x^2 + 6x over that interval and divide it by the length of the interval.

The average height (H_avg) is calculated as follows:

H_avg = (1 / (b - a)) * ∫[a to b] f(x) dx

In this case, a = -1 and b = 5, so the average height is:

H_avg = (1 / (5 - (-1))) * ∫[-1 to 5] (3x^2 + 6x) dx

To evaluate the integral, we can use the power rule of integration:

∫ x^n dx = (1 / (n + 1)) * x^(n+1) + C

Applying this rule to each term in the integrand, we get:

H_avg = (1 / 6) * [x^3 + 3x^2] evaluated from -1 to 5

Now, we can substitute the limits of integration into the expression:

H_avg = (1 / 6) * [(5^3 + 3(5^2)) - ((-1)^3 + 3((-1)^2))]

H_avg = (1 / 6) * [(125 + 75) - (-1 + 3)]

H_avg = (1 / 6) * [200 - (-2)]

H_avg = (1 / 6) * 202

H_avg = 33.67 feet

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(a)  the cylindrical coordinates for (-1, 1, 1) are (sqrt(2), 3π/4, 1).

(b) the cylindrical coordinates for (-6, 6sqrt(3), 4) are (12, 5π/6, 4).

(a) To change from rectangular to cylindrical coordinates, we use the formulas:

r = sqrt(x^2 + y^2)
θ = atan2(y, x)
z = z

Using these formulas with the point (-1, 1, 1), we get:

r = sqrt((-1)^2 + 1^2) = sqrt(2)
θ = atan2(1, -1) = 3π/4 (since the point is in the second quadrant)
z = 1

So the cylindrical coordinates for (-1, 1, 1) are (sqrt(2), 3π/4, 1).

(b) Using the same formulas with the point (-6, 6sqrt(3), 4), we get:

r = sqrt((-6)^2 + (6sqrt(3))^2) = 12
θ = atan2(6sqrt(3), -6) = 5π/6 (since the point is in the third quadrant)
z = 4

So the cylindrical coordinates for (-6, 6sqrt(3), 4) are (12, 5π/6, 4).

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Answer:

StGraph the line using the slope and y-intercept, or two points.

Slope: −47

y-intercept: (0,−4)

x     y

−7    0

0    −4

step-by-step explanation:

Answer:

Root:(-7,0)

Vertical intercept:(0,-4)

Step-by-step explanation:

The graph

The output of the function can be calculated by plugging in 2 for x and evaluating the equation:\(f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.\)

The Common Core standards for Pre-Calculus focus on the study of functions and their applications, as well as the development of a deeper understanding of the algebraic and geometric principles in the mathematical field. One of the core concepts covered in Pre-Calculus is the concept of polynomial functions. A polynomial function is an expression made up of terms that involve only constants, variables, and exponents. It is represented by the equation \(f(x) = ax^n + bx^n-1 + cx^n-2 + … + z\), where a, b, c, …, z are constants and n is a non-negative integer. To find the value of a polynomial function at a given value of x, the equation can be evaluated by plugging in the x value and calculating the output. For example, if a polynomial function is represented by the equation f(x) = 2x^3 + 5x^2 - 7x + 4, and the x value is 2, then the output of the function can be calculated by plugging in 2 for x and evaluating the equation: \(f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.\)

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Complete question:

What is the output of the polynomial function f(x) = 2x^3 + 5x^2 - 7x + 4 when x = 2?

Answer:

Hypotenuse = 41 cm

Step-by-step explanation:

Pythagorean theorem,

hypotenuse² = base²  +altitude²

                     = 9² + 40²

                     = 81 + 1600

                     = 1681

hypotenuse = √1681 = 41 cm

The total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.

The price of a stock is equal to the current dividend plus the present value of all future dividends plus the price in one year. As a result, the share price of SPCC after a year will be:$112 = $7 + $105 + PV$PV = $0

Using the formula of the total return of an asset, which is equal to its capital gain plus dividend yield, we have;Total Return = Capital Gain + Dividend YieldCapital Gain = (Ending Price - Initial Price) / Initial PriceCapital Gain = ($112 - $97) / $97 = 0.1546 or 15.46%Dividend Yield = Annual Dividend per Share / Initial PriceDividend Yield = $7 / $97 = 0.0721 or 7.21%

Therefore, the total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.

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Answer:

5n - 2

Step-by-step explanation:

8 subract 3 is 5

5 minus 3 is 2

5n - 2

Answer:

Third Option: It is not a good fit for the data. Most of the data points are above the line.

Step-by-step explanation:

First of all, if we graph the line y = 100x, we get the following data points:

0, 0

1, 100

2, 200

3, 300

4, 400

5, 500

6, 600

7, 700

8, 800

9, 900

10, 1000

11, 1100

12, 1200

Once we graph the following data points and draw a line connecting them in the scatter plot, we can check if the line is the best fit.

Then we get the answer.

No, the line y = 100x is not the line of best fit for the given scatter plot. The line of best fit is a straight line that is the best approximation of the given set of data. It is used to study the nature of the relation between two variables. A line of best fit can be roughly determined using an eyeball method by drawing a straight line on a scatter plot so that the number of points above the line and below the line is about equal (and the line passes through as many points as possible).

Look at the picture I attached.

The answers are 13) 24°, 14) 25° and 15) 20°

Given that are right triangles we need to find the reference angles,

Using here the concept of trigonometric ratios,

Sin = ratio of perpendicular to hypotenuse.

Cos = ratio of base to hypotenuse.

Tan = ratio of perpendicular to base.

So,

13) Sin? = 24/59

? = Sin⁻¹(24/59)

? = 24°

14) Cos? = 30/33

? = Cos⁻¹(30/33)

? = 25°

15) Tan? = 10/27

? = Tan⁻¹(10/27)

? = 20°

Hence the answers are 13) 24°, 14) 25° and 15) 20°

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10 mph more unusual.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a larger range, a low standard deviation suggests that the values tend to be near to the mean (also known as the anticipated value) of the collection.

The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical literature and equations to indicate standard deviation. Standard deviation may be written as SD.

EXPLANATION : The speed recordings follow an approximately normal distribution the mean of

100 readings was 2384 mph. with a standard deviation of 3.56mph

The speed limit read 20 mph

We have to find the number of standard deviations from the mean that the car going

under the speed hmit would be

Let the car going under the speed 20mph bey standard deviations away from mean

That is.

20 — 23.84 +y(3.56)

20—2384 —1.078651685

So the car going under the speed limit would be less than or equal to 107865 standard

A car traveling 34 mph

The number of standard deviations from the mean that the car is going at 34mph is given by

That is the car going at 34mph is 2.8539 standard deviations above the mean

A car traveling at 10mph

The number of standard deviations from the mean that the car going at 10mph is given by.

y= 2.8539

That is. the car going at 10mph is 3.8876 standard deviations

We know from the empirical nile that 99.7% of the observations he with in ±3 standard

deviations from the mean for a normally distributed data

But the speed of 10mph is not within these limits, where as 34 mph is within these limits

So the car is  travelling t 10mph is more unusual

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Step-by-step explanation:

\(\tt{2(x+1.25)=3.5 }\) ⠀

\(\tt{ 2x+2.5=3.5 }\) ⠀

\(\tt{ 2x=3.5-2.5 }\) ⠀

\(\tt{2x=1 }\) ⠀

\(\tt{ x=\dfrac{1}{2}=0.5 }\) ⠀