Find the surface area of a square pyramid with base edges of 8 feet. The height of each lateral face is 9 feet. Explain or show how you got your answer.
PLS I WANT FULL EXPLANATIONS ON HOW U GOT UR ANSWER!!!!!!

Answer:

x = 116

Step-by-step explanation:

The sum of the angles of a  4 sided polygon is 360

96+x+64+84 = 360

Combine like terms

x+244=360

Subtract 244 from each side

x+244-244=360-244

x = 116

Sum of all angles of a quadrilateral = 360°

So, 96° + 84° + 64° + x° = 360°

=> 244° + x° = 360°

=> x° = 360° - 244°

=> x° = 116°

=> x = 116

Answer:

\(x^4+x^2-12\)

Step-by-step explanation:

We'll write the polynomial using only the roots required to simplify calculations. However, it states the final answer should not have a radical or complex number in. Therefore, we need to rid them:

\((x+\sqrt{3})(x-\sqrt{3})(x-2i)(x+2i)\)

Expanding this, we get:

\((x^2-3)(x^2+4),\\\fbox{$x^4+x^2-12$}\).

Answer:

-4m/s²

Step-by-step explanation:

(4m/s - 16m/s) / 3s = -12m/s / 3s = -4m/s²

Answer:

50 percent

Step-by-step explanation:

Answer: there is a 50% chance

Step-by-step explanation:

there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2

The length of sides BC and XC in the triangle are 8.66 and 10 units respectively

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Trigonometric ratio is used to show the relationship between the sides and angles of a right triangle.

From the triangle shown, using trigonometric ratio:

sin(30) = 5/XC

XC = 10

Also:

tan(30) = 5/BC

BC = 8.66

The length of BC and XC are 8.66 and 10 units respectively

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Given:

The equation is

\(-\dfrac{1}{4}d-\dfrac{2}{5}d=39\)

To find:

The value of d.

Solution:

We have,

\(-\dfrac{1}{4}d-\dfrac{2}{5}d=39\)

Taking LCM, we get

\(\dfrac{-5d-8d}{20}=39\)

\(\dfrac{-13d}{20}=39\)

Multiply both sides by 20.

\(-13d=39\times 20\)

Divide both sides by -13.

\(d=\dfrac{39\times 20}{-13}\)

\(d=-3\times 20\)

\(d=-60\)

Therefore, the value of d is -60.

The probability that four or less adults exercise regularly out of 11 randomly selected adults is approximately 0.9824.

This problem can be solved using the binomial distribution, since we are interested in the probability of a certain number of successes (adults who exercise regularly) in a fixed number of trials (selecting 11 adults randomly).

Let X be the number of adults who exercise regularly out of 11. Then X has a binomial distribution with parameters n = 11 and p = 0.25, since the probability of success (an adult who exercises regularly) is 0.25.

We want to find the probability that four or less adults exercise regularly, which is equivalent to finding the probability of X ≤ 4. We can use the binomial cumulative distribution function to calculate this probability:

P(X ≤ 4) = Σ P(X = k), for k = 0, 1, 2, 3, 4

Using a calculator, spreadsheet software, or a binomial probability table, we can find the probabilities for each value of k, and then add them up to get the cumulative probability:

P(X = 0) = (11 choose 0) * (0.25)^0 * (0.75)^11 = 0.0563

P(X = 1) = (11 choose 1) * (0.25)^1 * (0.75)^10 = 0.2015

P(X = 2) = (11 choose 2) * (0.25)^2 * (0.75)^9 = 0.3159

P(X = 3) = (11 choose 3) * (0.25)^3 * (0.75)^8 = 0.2747

P(X = 4) = (11 choose 4) * (0.25)^4 * (0.75)^7 = 0.1340

P(X ≤ 4) = 0.0563 + 0.2015 + 0.3159 + 0.2747 + 0.1340 = 0.9824

Therefore, the probability that four or less adults exercise regularly out of 11 randomly selected adults is approximately 0.9824.

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Answer:

C

Step-by-step explanation:

Step-by-step explanation:

$15x8=$120 = money earned at first job

$12x3=$36 = money earned at second job

$120+$36=$156 =total earned

The answer is C. 1/10 of a centimeter.

Answer:

1.75 gallons of paint

Step-by-step explanation:

A student in the construction trades program has 4 1/2 gallons of paint

If the student uses 2.75 gallons in one room then the gallons of paint that are left can be calculated as follows

= 4 1/2 - 2.75

= 9/2 - 2.75

= 4.5 - 2.75

= 1.75

Hence 1.75 gallons of paint are left

Step-by-step explanation:

the distributive property is 4(11+12) the greatest common factor is 4

To determine the number of rows of matrix A that have a solution for each b in R^4, we need to analyze the pivot positions in the augmented matrix [A|b]. If the rank of the coefficient matrix A is equal to the rank of the augmented matrix, then there will be a solution for each b in R^4. In this case, the number of rows with pivot positions is equal to the rank of A.


To find the pivot positions, we perform Gaussian elimination on the augmented matrix [A|b]. Starting with the first column, we aim to create zeros below the pivot position. We can observe that in the given matrices A and B, row 1 has a pivot position in the first column, row 2 in the second column, row 3 in the third column, and row 4 in the fourth column. This means that all four rows of matrix A have pivot positions.

If the rank of A is equal to the number of rows in A (4 in this case), then there will be a solution for each b in R^4. The rank of A is determined by counting the number of rows with pivot positions. Since all four rows of A have pivot positions, the rank of A is 4. Thus, there is a solution for each b in R^4.

In summary, all four rows of matrix A contain equations (Ax=b) that have a solution for each b in R^4. The pivot positions in A indicate that the rank of A is 4, which is equal to the number of rows in A. Therefore, there is a solution for every b in R^4.

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The values of w typically vary, on average, from the mean of the distribution about 3.46.

The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

For a geometric(p = 0.25) distribution, the variance is computed here as:

Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12

Therefore, the standard deviation is computed as:

= ✓(12) = 3.46 observations.

This is the standard deviation of the given distribution here.

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Answer:

range 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

1. The range of a data set is the difference between the largest and smallest number. In this case, the largest number is 28, and the smallest number is 10.

Therefore, the range is 18.

Answer:

x=-6/11, y=-61/11. (-6/11, -61/11).

Step-by-step explanation:

4x+7y=-41

x=y+5

-----------------

4(y+5)+7y=-41

4y+20+7y=-41

11y=-41-20

11y=-61

y=-61/11

x=-61/11+5=-61/11+55/11=-6/11

The values of data that might affect the statistical measures of spread and center is that: D. The males have a suspected significant high outlier.

A boxplot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread.

In Mathematics, the five-number summary of any box and whisker plot include the following:

By critically observing the box and whisker plots which represent the number of hours the students worked in summer jobs, we can reasonably infer and logically deduce that male students have a significant high outlier because the maximum value (37) is very far from the third quartile (15).

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Answer:

6,300kg=6,300,000grams

multiply 6,300 and 1,000 to get 6,300,000

Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.

What is linear inequality?

A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.

We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.

The dotted graphs are drawn for the inequalities having < or >

Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.

Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not

1. 3x-2y≤6

⇒ 0≤6

So, the equation is true for the point.

Hence, the third graph represents this equation.

2. 3x-2y<6

⇒ 0<6

So, the equation is true for the point.

Hence, the first graph represents this equation.

3. 3x-2y>6

⇒ 0>6

So, the equation is false for the point.

Hence, the fourth graph represents this equation.

4. 3x-2y≥6

⇒ 0≥6

So, the equation is false for the point.

Hence, the second graph represents this equation.

Hence, the graphs are matched with the inequalities.

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Since, there are multiple questions so, the question answered above is attached below.

Answer:

  y = 1/2x -2

Step-by-step explanation:

You want the equation of a line parallel to y = 1/2x +6 that contains the point (0, -2), written in slope-intercept form.

The slope of the line you want will be the same as the slope of the line you have. That is because parallel lines have the same slope.

The equation you are given is written in slope-intercept form:

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Comparing this form to the given equation, you see that ...

  m = 1/2 . . . . . the slope of the line you want

The "intercept" in the "slope-intercept" form is the value of y when x=0. The point you are given, (0, -2), tells you that y = -2 when x = 0. So, the "intercept" in your slope-intercept equation is -2.

The equation you want is the equation of a line with slope 1/2 and a y-intercept of -2.

  y = 1/2x -2

The equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2.To find an equation of a line that is parallel to line EF and passes through point (0, -2), we need to use the fact that parallel lines have the same slope. The slope of line EF is 1/2, so the slope of the parallel line will also be 1/2.

We can start by using the point-slope form of the equation of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in m = 1/2 and (x1, y1) = (0, -2), we get:

y - (-2) = (1/2)(x - 0)

Simplifying this equation gives:

y + 2 = (1/2)x

To get this equation in slope-intercept form (y = mx + b), we can isolate y:

y = (1/2)x - 2

So the equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2. Note that this line intersects the y-axis at y = -2, which is the y-intercept.

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Solution:

To multiply the number 2.49 by 0.21

Rounded to two decimal places,

Therefore, the answer correct to two decimal places is 0.52

OPTION 3 is correct.

Answer:

B

Step-by-step explanation:

$500 a week x 50 weeks in a year = $25,000 a year

$27,500 > $25,000

HOPE THIS HELPED

The value of function d (1) is,

⇒ d (1) = 30

We have to given that,

Jamie wrote the piecewise function, d(t), to model her sightseeing trip.

Let d(t) be the distance, in miles, from the center of town for any time, t, in hours.

Here, Function d (t) is defined as,

d (t) = 30t ; 0 ≤ t < 2

      = 60 ; 2 ≤ t < 3

      = 45t - 75 ; 3 ≤ t < 4

      = 105 ; 4 ≤ t < 5

      = - 25t + 230 ; 5 ≤ t < 6

      = 80   ; 6 ≤ t < 7

      = - 40 + 360t  ; 7 ≤ t < 8

Hence, By given function d (1) is defined as,

⇒ d (t) = 30t ; 0 ≤ t < 2

Hence, plug t = 1

·⇒ d (1) = 30 × 1 ; 0 ≤ t < 2

⇒ d (1) = 30

Thus, The value of function d (1) is,

⇒ d (1) = 30

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Answer:

Below in bold.

Step-by-step explanation:

s(t) = -16t² - 12t + 300

v(t) = ds/ dt = -32t - 12

At time t:

velocity = -32(4) - 12 = -140 ft/s.

Answer: An answer to a division problem.

To find the values of x for which f(x) = g(x), we need to set the two functions equal to each other and solve for x.

Setting f(x) equal to g(x):

x^2 - 2x + 1 = 5x - 41

Rearranging the equation:

x^2 - 7x + 42 = 0

To solve this quadratic equation, we can factor it:

(x - 6)(x - 7) = 0

Setting each factor equal to zero:

x - 6 = 0  -->  x = 6

x - 7 = 0  -->  x = 7

Therefore, the values of x for which f(x) = g(x) are x = 6 and x = 7.

The values x = 6 and x = 7 satisfy the equation f(x) = g(x). When substituting these values into both functions, they result in the same output. Therefore, these values make the two functions equal to each other.

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The best test to use in this case is a two sample t-test of means

The most suitable test to use in this case is a two sample t-test of means since this study compares the mean test scores of two independent groups.

The 2-sample t-test use the sample data provided from two groups and gives the t-value. The process is somewhat close to the usual t-test and we can use the concept of the signal to noise ratio. However, the two-sampled t-test requires independent variable.

In a two-sample t-test, the numerator is the signal which is the difference between the two means.

The default null hypothesis of a 2-sample t-test can be said to be of two groups that are equal

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Answer:  y = 7x

Step-by-step explanation:

The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.

In this case, the y-intercept is 0.

Slope = (y2 - y1) / (x2 - x1)  

           = (7 - 0) / (1 - 0)

           = 7 / 1

           = 7

Plug in the slope and y-intercept, we get y = 7x + 0 = 7x