Find the volume of the pyramid above
Find the surface are of the pyramid above pls help

Answer: 10:22

Step-by-step explanation:

9:55 + :05 = 10:00

10:00+ :22 = 10:22

The number of different routes possible for the delivery driver, given the time to make deliveries at 7 out of the remaining 8 locations, is 8.

The number of different routes possible for the delivery driver can be calculated using combinatorics. Specifically, we need to determine the number of ways to choose 7 locations out of the remaining 8 locations. This can be found using the combination formula.

The combination formula, also known as "n choose k," is given by the expression C(n, k) = n! / (k! * (n-k)!), where n is the total number of items to choose from and k is the number of items to choose.

In this case, there are 8 locations remaining and the driver needs to choose 7 of them. Applying the combination formula, we have C(8, 7) = 8! / (7! * (8-7)!) = 8! / (7! * 1!) = 8.

Therefore, there are 8 possible different routes for the delivery driver to make deliveries at the remaining 8 locations, given that the driver has time to make deliveries at 7 of them.

To simplify the answer, we can state that there are 8 possible different routes for the driver.

In summary, the number of different routes possible for the delivery driver, given the time to make deliveries at 7 out of the remaining 8 locations, is 8.

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In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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Answer:

(-6,0)

Step-by-step explanation:

An equation of a line can be modeled as y = mx + b where m is slope and b is y-intercept.

For the line r, we can model the equation as y = mx + 3 since the line intersects y-axis at (0,3) as seen in the attachment.

For the line t, we can model the equation as y = mx - 6 as the problem gives y-intercept for line t equal to -6. Hence, the line t intersects y-axis at (0,6)

Next, we have to find the slope of line t by finding the slope of line r in the attachment. Apply the rise over run by counting the steps, you can see in the attachment that I put to learn how to count rise and run of a line. Also note that the value in attachment here is a scalar quantity, meaning only magnitude, no direction.

So we will have the slope of -1 since a line graph is heading down so the output decreases as input increases. Therefore, we know that m = -1 for both lines. Therefore, for the line t, we can model the new equation to:

[tex]\displaystyle{y=-x-6}[/tex]

Then we find the x-intercept of the line by letting y = 0. Thus,

[tex]\displaystyle{0=-x-6}\\\\\displaystyle{x=-6}[/tex]

Therefore, the x-intercept of line t is at (-6,0).

Answer:

(-6,0)

Step-by-step explanation:

We need to determine the equation of line r first to find the x-intercept of line t.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

[tex]slope = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

For line r passing through (3, 0) and (0, 3), the slope is:

[tex]slope = \frac{3 - 0}{0 - 3} = -1[/tex]

Since line t has the same slope as line r, its slope is also -1.

The equation of a line in slope-intercept form (y = mx + b) is determined by its slope (m) and y-intercept (b).

We know that the slope (m) of line t is -1, and the y-intercept (b) is -6. Substituting these values into the slope-intercept form, we get:

y = -x - 6

To find the x-intercept, we set y = 0 and solve for x:

0 = -x - 6

Adding x to both sides:

x = -6

Therefore, the x-intercept of line t is (-6,0).

The standard form (SF), center (C) and radius (R) are given as follow: (13) SF:  (x + 4)² + (y - 3)² = 50, Center: (-4, 3), R: √50 (14) SF: (x - 2)² + (y - 6)² = 169, C: (2, 6), R: 13 (15) SF: (x + 7)² + (y + 5)² = 1, C: (-7, -5), R: 1 (16) SF: (x - 8)² + y² = 225, C: (8,0), R: 15 (17) SF: (x - 12)² + (y - 2)² = 63, C: (12, 2), R: √63 (18) SF: (x - 5)² + (y + 4)² = 100 , C: (5, -4), R: 10

The general form of a circle is given as:

       (x - h)² + (y - k)² = r²

where:

        (h, k) represents the center of the circle

       r represents the radius.

Now we can use the above information to solve the following questions:

13. x² + y² + 8x - 6y - 25 = 0

Rearranging the equation:

x² + 8x + y² - 6y = 25

Completing the square for x terms:

(x² + 8x + 16) + y² - 6y = 25 + 16

Simplifying:

(x + 4)² + (y² - 6y) = 41

(x + 4)² + (y² - 6y + 9) = 41 + 9

(x + 4)² + (y - 3)² = 50

Center: (-4, 3)

Radius: √50

14. x² + y² - 4x - 12y - 129 = 0

Rearranging the equation:

x² - 4x + y² - 12y = 129

Completing the square for x terms:

(x² - 4x + 4) + y² - 12y = 129 + 4

Simplifying:

(x - 2)² + (y² - 12y) = 133

(x - 2)² + (y² - 12y + 36) = 133 + 36

(x - 2)² + (y - 6)² = 169

Center: (2, 6)

Radius: 13

15. x² + y² + 14x + 10y + 73 = 0

Rearranging the equation:

x² + 14x + y² + 10y = -73

Completing the square for x terms:

(x² + 14x + 49) + y² + 10y = -73 + 49

Simplifying:

(x + 7)² + (y² + 10y) = -24

(x + 7)² + (y² + 10y + 25) = -24 + 25

(x + 7)² + (y + 5)² = 1

Center: (-7, -5)

Radius: 1

16. x² + y² - 16x - 161 = 0

Rearranging the equation:

x² - 16x + y² = 161

Completing the square for x terms:

(x² - 16x + 64) + y² = 161 + 64

Simplifying:

(x - 8)² + y² = 225

Center: (8, 0)

Radius: 15

17. x² + y² = 24x + 4y - 85

Rearranging the equation:

x² - 24x + y² - 4y = -85

Completing the square for x and y terms:

(x² - 24x + 144) + (y² - 4y + 4) = -85 + 144 + 4

Simplifying:

(x - 12)² + (y - 2)² = 63

Center: (12, 2)

Radius: √63

18. x² + y² - 9x + 2y = x - 6y + 59

Rearranging the equation:

x² - 9x - x + y² + 2y + 6y = 59

Combining like terms:

x² - 10x + y² + 8y = 59

Completing the square for x and y terms:

(x² - 10x + 25) + (y² + 8y + 16) = 59 + 25 + 16

Simplifying:

(x - 5)² + (y + 4)² = 100

Center: (5, -4)

Radius: 10

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Answer:

The correct answer:

(B) reduction

Answer:

25

Step-by-step explanation:

There are only additions, so do each addition, in the order it appears, from left to right.

-11 + 3 + 10 + (-25) + 48 =

= -8 + 10 + (-25) + 48

= 2 + (-25) + 48

= -23 + 48

= 25

The amount of wrapping paper which Elijah used is equal to 812 m².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a right rectangular prism, we have the following;

Surface area of a right rectangular prism = 2[3 × 10 + (10 × 12 × 2) + (13 × 12 × 2)]

Surface area of a right rectangular prism = 812 m².

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

There are 4 variables in the expression 8d² + 2bc + 10ab

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

8d²+2bc+ 10ab

Express properly

So, we have

8d² + 2bc + 10ab

Consider an expression ax + by where the variable is a and b are constants

The variables in the expression are x and y

Using the above as a guide, we have the following:

The variables in the expression 8d² + 2bc + 10ab are a, b, c and d

This means that there are 4 variables in the expression

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Answer: I have this same exact question

Step-by-step explanation: So someone please help this person, or animal which ever you perfer

When x = 3, y = 2, and z = 4, the value of the expression 5x - 2y + 4z is 27.

The correct answer is (c) 27.

To evaluate the expression 5x - 2y + 4z when x = 3, y = 2, and z = 4, we substitute the given values into the expression and perform the   arithmetic calculations. Here's the step-by-step process:

Step 1: Replace x with 3, y with 2, and z with 4 in the expression:

5(3) - 2(2) + 4(4)Step 2:

Perform the multiplications first:

15 - 4 + 16

Step 3: Perform the additions and subtractions from left to right:

15 - 4 + 16 = 11 + 16 = 27.

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Answer: x=6.6

Step-by-step explanation:

The is a 30-60-90 triangle, which means it falls into the special right triangles category

That means that the hypotenuse (x) is the smaller leg (sqrt11) multiplied by 2.

Sqrt11 times 2 is 6.6332495807108

Rounded to the nearest tenth would turn out to be 6.6

53 revolutions will be needed by the wheels to make it travel 300 feet.

Option D is the correct answer.

We have,

To solve this problem, we can use the formula:

Number of revolutions = Distance / Circumference of the wheel

First, let's convert the distance from feet to inches:

300 feet = 300 x 12 = 3600 inches

Next, we need to calculate the circumference of the wheel using the given diameter:

Circumference = π x diameter

Circumference = 3.14 x 22 inches

Circumference ≈ 69.08 inches

(rounded to two decimal places)

Now we can calculate the number of revolutions:

Number of revolutions = 3600 inches / 69.08 inches

= 52.14 revolutions

Rounding to the nearest whole number.

= 52 revolutions.

Therefore,

53 revolutions will be needed by the wheels to make it travel 300 feet.

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The bicycle wheels will need 53 full revolutions to travel 300 feet.

The circumference of a wheel can be calculated using the formula:

circumference = π x diameter

So, circumference = 3.14 x 22

= 69.08 inches

Now, converting feet to inches

300 feet = 300 x 12 inches

300 feet = 3600 inches

So, number of revolutions:

revolutions = distance / circumference

= 3600 / 69.08

≈ 52.11

Therefore, the bicycle wheels will need 53 full revolutions to travel 300 feet.

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The graph represents

[tex]{y \to -\infty}[/tex] as [tex]{x \to \infty}[/tex]

[tex]{y \to \infty}[/tex] as [tex]{x \to -\infty}[/tex]

From the given graph we can see that,

The curve represent cubic function

And we know that such cubic function is of the form

f(x) = y = -(ax³ + bx² + cx + d)

Since,

A function can approach two separate limits: one in which the variable approaches its limit by using values more than the limit, and one in which the variable approaches its limit by using values less than the limit.

Case 1:

Take limit of x approaching to infinity,

[tex]\lim_{n \to \infty} f(x) = y = -\infty[/tex]

Hence,

As x approaches to infinity the  

y approaches to negative  infinity.

Case 2:

Take limit of x approaching to negative of infinity,

Now since degree of function is 3 which is odd

Therefore,

[tex]\lim_{n \to -\infty} f(x) = y = \infty[/tex]

Hence,

As x approaches to negative infinity then  

y  approaches to infinity.

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Answer:

Step-by-step explanation:

To solve the given linear programming problem graphically, we'll plot the feasible region determined by the given constraints and then identify the optimal solution by maximizing the objective function Z = 10x1 + 20x2.

Step 1: Plotting the Constraints

We'll start by plotting the equations representing each constraint.

Constraint 1: 5x1 + 3x2 ≤ 30

To plot this constraint, we'll first find the points on the line 5x1 + 3x2 = 30. We can do this by setting x1 to 0 and solving for x2, then setting x2 to 0 and solving for x1.

Setting x1 = 0, we get: 3x2 = 30

x2 = 10

So, one point is (0, 10).

Setting x2 = 0, we get: 5x1 = 30

x1 = 6

So, another point is (6, 0).

Plotting these two points and drawing a line passing through them, we get a boundary line for the first constraint.

Constraint 2: 3x1 + 6x2 ≤ 36

Similarly, we find two points on the line 3x1 + 6x2 = 36.

Setting x1 = 0, we get: 6x2 = 36

x2 = 6

So, one point is (0, 6).

Setting x2 = 0, we get: 3x1 = 36

x1 = 12

So, another point is (12, 0).

Plotting these points and drawing a line passing through them, we get a boundary line for the second constraint.

Constraint 3: 2x1 + 5x2 ≤ 20

Again, we find two points on the line 2x1 + 5x2 = 20.

Setting x1 = 0, we get: 5x2 = 20

x2 = 4

So, one point is (0, 4).

Setting x2 = 0, we get: 2x1 = 20

x1 = 10

So, another point is (10, 0).

Plotting these points and drawing a line passing through them, we get a boundary line for the third constraint.

Step 2: Finding the Feasible Region

Now, we shade the region of the graph that satisfies all the constraints. The feasible region is the intersection of the shaded regions determined by each constraint.

Step 3: Maximizing the Objective Function

To maximize the objective function Z = 10x1 + 20x2, we look for the highest possible value within the feasible region. The optimal solution will be at one of the corner points of the feasible region.

We calculate the coordinates of each corner point formed by the intersection of the constraint lines and evaluate Z = 10x1 + 20x2 at each of these points. The corner point with the highest Z value will be the optimal solution.

By evaluating Z at each corner point, we can determine the optimal solution and its corresponding values of x1 and x2.

Note: Without specific numerical values for the corner points, I am unable to provide the exact coordinates and the optimal solution for this problem. However, by following the steps outlined above and evaluating the objective function at each corner point, you can identify the optimal solution for the given linear programming problem.

Hi. First of all, please give me 5 stars. There is the response:

To solve this problem graphically, we first plot the lines corresponding to the constraints, and then find the feasible region by shading the region that satisfies all constraints. Finally, we evaluate the objective function at each corner point of the feasible region to find the optimal solution.

The constraints can be rewritten in slope-intercept form as follows:

5x1 + 3x2 ≤ 30 => x2 ≤ (-5/3)x1 + 10

3x1 + 6x2 ≤ 36 => x2 ≤ (-1/2)x1 + 6

2x1 + 5x2 ≤ 20 => x2 ≤ (-2/5)x1 + 4

We plot these lines on a graph:

```

| / 5x1 + 3x2 = 30

6 +-------/------------

| / 3x1 + 6x2 = 36

| /

4 +----/--------------

| / 2x1 + 5x2 = 20

| /

2 +-/----------------

| /

|/

+------------------

0 2 4 6 8

```

Next, we shade the feasible region:

```

| /

6 +-------/-----RR-----

| / -----RR-----

| / -----RR-----

4 +----/-----RRR------

| / --RRRRRR------

| / -RRRRR--------

2 +-/----RRRR----------

| / R--------------

|/ R--------------

+------------------

0 2 4 6 8

```

The feasible region is the shaded area. There are 4 corner points: (0, 4), (4, 2), (6, 0), and (8/7, 26/21).

Finally, we evaluate the objective function at each corner point:

- (0, 4): Z = 10(0) + 20(4) = 80

- (4, 2): Z = 10(4) + 20(2) = 80

- (6, 0): Z = 10(6) + 20(0) = 60

- (8/7, 26/21): Z = 10(8/7) + 20(26/21) = 170/7

The optimal solution is (8/7, 26/21) with a maximum value of 170/7.

Answer:

Love helping people so here's the answer :)

Step-by-step explanation:

A square pyramid has 5 faces: 1 square base and 4 triangular faces. The surface area of the pyramid is the sum of the areas of all its faces.

The area of the square base is 1 * 1 = 1 square inch.

The area of each triangular face is (1/2) * base * height = (1/2) * 1 * 2 = 1 square inch.

Since there are 4 triangular faces, the total area of the triangular faces is 4 * 1 = 4 square inches.

Therefore, the surface area of the pyramid is 1 + 4 = 5 square inches.

Answer:

Step-by-step explanation:

To determine the significance level for the difference in means between the first two groups, we need to refer to the provided normal distribution. However, you haven't provided the details or parameters of the normal distribution, such as the mean and standard deviation. Without this information, it is not possible to determine the exact significance level required.

In hypothesis testing, the significance level, typically denoted as α (alpha), is chosen by the researcher before conducting the experiment. It represents the threshold at which the researcher considers the results to be statistically significant. Commonly used significance levels are 0.05 (5%) or 0.01 (1%).

Please provide the necessary parameters or more information about the normal distribution to determine the specific significance level for the difference in means between the first two groups.

As all sides of a Rhombus are of equal length, the length of the missing sides are 82

The property of a Rhombus required for answering this question is associated with the length of it's sides. A Rhombus has four sides with the length of all these sides being equal.

This means that with the length of one of it's sides being 82 , the length of the remaining 3 sides would be 82 as well.

The length of sides x = y = z = 82. Hence, x, y and z are 82

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Answers:

Choice A)  Segment AC = 2*sqrt(17)

Choice B)  Segment BD is 32 units long

Choice F)  Segment AB is approximately 33 units long.

==========================================================

Explanation:

The triangles are similar, so we can form this proportion

CD/DA = DA/BD

2/8 = 8/x

2x = 8*8

2x = 64

x = 64/2

x = 32

BD is 32 units long

This means one of the answers is choice B. It rules out choice D.

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

The legs of right triangle ABD are

Use the pythagorean theorem to find hypotenuse AB.

a^2 + b^2 = c^2

(AD)^2 + (BD)^2 = (AB)^2

8^2 + 32^2 = (AB)^2

(AB)^2 = 64 + 1024

(AB)^2 = 1088

AB = sqrt(1088)

AB = sqrt(64*17)

AB = sqrt(64)*sqrt(17)

AB = 8*sqrt(17)

AB = 32.984845

Segment AB is approximately 33 units long.

This tells us another answer is choice F. Choice C is false because 4*sqrt(5) = 8.94427

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

BC = BD + DC

BC = 32 + 2

BC = 34

BC is the hypotenuse of triangle ABC

Use the pythagorean theorem to determine AC.

a^2 + b^2 = c^2

(AB)^2 + (AC)^2 = (BC)^2

(sqrt(1088))^2 + (AC)^2 = (34)^2

1088 + (AC)^2 = 1156

(AC)^2 = 1156 - 1088

(AC)^2 = 68

AC = sqrt(68)

AC = sqrt(4*17)

AC = sqrt(4)*sqrt(17)

AC = 2*sqrt(17)

Another answer is Choice A. It rules out choice E because 2*sqrt(17) = 8.2462 approximately.

The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Answer: To determine which statement is true about lines r and s, we need to compare their slopes.

The slope of a line can be calculated using the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

For line r, using the points (-5, 2) and (-3, 8):

slope_r = (8 - 2) / (-3 - (-5))

= 6 / 2

= 3

For line s, using the points (-6, 4) and (2, 12):

slope_s = (12 - 4) / (2 - (-6))

= 8 / 8

= 1

Now, let's analyze the statements:

Line r is steeper than line s. (False)

Since the slope of line r (3) is greater than the slope of line s (1), this statement is true.

Line r is steeper than line (Incomplete statement)

This statement is incomplete.

Line s has a negative slope. (False)

The slope of line s (1) is positive, not negative. So, this statement is false.

Line s is steeper than line r. (False)

Since the slope of line s (1) is less than the slope of line r (3), this statement is false.

Line r has a negative slope. (False)

The slope of line r (3) is positive, not negative. So, this statement is false.

Based on the analysis, the true statement about lines r and s is:

Line r is steeper than line s.

The radius of the cylinder, considering it's lateral surface area, is given as follows:

r = 31.5 cm.

The lateral surface area of a cylinder of radius r and height h is given by the equation presented as follows:

Sl = 2πrh.

The parameters for this problem are given as follows:

Sl = 693π, h = 11.

Hence the radius of the cylinder, considering it's lateral surface area, is given as follows:

r = Sl/2πh

r = 693/22 (simplifying π in the numerator and denominator)

r = 31.5 cm.

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The measure of the angle B of the triangle is 78.15 degrees

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

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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The graph of the inequality is x < 0 and is plotted

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

A = x is less than 0

So , on simplifying , we get

x < 0

Hence , the inequality of x is all numbers less than 0 without including 0

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Answer: Is it x=y(4)? Can someone tell me if that's right?

Step-by-step explanation:

From the relationship of AC bar ≅ BD bar, we can tell that ABCD is a rectangle.

A quadrilateral with two sets of parallel sides is known as a parallelogram.

If ABCD is a parallelogram where AC and BD have equal lengths, then the opposite sides of ABCD are also equal. ABCD has two sets of sides that are parallel and have the same length.

The fact that ABCD possesses two sets of sides that are parallel and of equal length logically leads to the conclusion that it also has four angles that are right. One reason for this is that the angles opposite each other in a parallelogram are of equal measure, while the sum of the angles at each corner of a parallelogram is always 180 degrees.Therefore, ABCD is a rectangle.

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