The square pyramid has a base with an area of 64 cm and a slant height of 9 cm. What is the height of the pyramid

The area of a rectangle with the dimensions (x-1) and (x+3) is x²+2x-3 square units.

Given that, the dimensions of a rectangle (x-1) and (x+3).

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Here, the area of a rectangle

= (x+3)×(x-1)

= x²+3x-x-3

= x²+2x-3

Hence, the area of a rectangle with the dimensions (x-1) and (x+3) is x²+2x-3 square units.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the area of a rectangle with the dimensions (x-1) and (x+3).

Answer:False

Step-by-step explanation:

Answer:

y=2x+1.

Step-by-step explanation:

You first need to find the slope of the line already graphed. -2 to 1 would be three units to the right, and -2 to 4 would be six units up. You would use the equation (y2-y1)/(x2-x1), where x1 and y1 would be the x and y values of the first coordinate of the graphed line, and x2 and y2 would be the second coordinate. This would be 6/3, which can be simplified to 2/1, which can be simplified to 2, which would mean the slope of the given line would be 2, as well as the parallel line. Now, you could use a pretty complicated equation to find the y-intercept of the line you need to graph, but I would recommend using the slope to find it. Since the given point is (3, 7), you would need to go to the left, meaning you would reverse the slope until you reach the y-axis, so you would use -2 as the slope. 3*-2=-6, and 7-6=1, so the y-intercept would be 1. The answer would be y=2x+1. Hope this helps.

Answer:

D)222 cm²

Step-by-step explanation:

(4)(3)+15(4+5+5)=222cm²

hope it helps

have a great day :)

Answer:

-3

Step-by-step explanation:

The answer is -3 because -3 *-3 * -3 would equal -27

Hope this helps:)

The probability is 0.4647.

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Answer:

1/13 and 12/13

Step-by-step explanation:

To answer this question, we need to know the number of cards that are 3 .

Each suite has a single 3 and there are 4 suites.

This means we have 4 cards that are 3

Now, the probability of 3; P(3) would be 4/52 = 1/13

P(of not 3) = 1- probability of 3 = 1-1/13 = 12/13

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

[s - 8 -6] * [X₁(s)] = [6] [ -6 s - 8] [X₂(s)] [-2] where X₁(s) and X₂(s) are the Laplace transforms of the components of x(t).

To solve the given initial value problem using the Laplace method, we need to find the Laplace transform of both sides of the equation. Let's denote the Laplace transform of x(t) as X(s). Applying the Laplace transform to the equation, we have:

sX(s) - x(0) = [ 8   6] X(s)

                     [ 6   8]

To solve for X(s), we can rearrange the equation as follows:

(sI - A) X(s) = x(0)

Where I is the identity matrix and A is the coefficient matrix [ 8   6] [ 6   8].

Now, let's compute the inverse of (sI - A) by finding its determinant, adjoint, and dividing by the determinant. The inverse is given by:

(sI - A)^(-1) = [ (s-8)/36   -6/36]

                          [ -6/36     (s-8)/36]

Multiplying both sides of the equation by the inverse, we obtain:

X(s) = (sI - A)^(-1) x(0)

To solve the given initial value problem using the Laplace method, we need to follow these steps:

Define the system of differential equations:

x'(t) = [8 6] * x(t)

[6 8]

Take the Laplace transform of both sides of the equation:

sX(s) - x(0) = [8 6] * X(s)

[6 8]

Solve for X(s):

(sI - A) * X(s) = x(0)

[s - 8 -6] * [X₁(s)] = [6]

[ -6 s - 8] [X₂(s)] [-2]

where X₁(s) and X₂(s) are the Laplace transforms of the components of x(t).

Find the inverse Laplace transform of X(s) to obtain x(t).

x(t) = [X₁(t)]

[X₂(t)]

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The percent error for patricks estimate for the first day of school is 25%.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Time patrick took= 45min

To find the percent error, we first need to find the difference between Patrick's estimate and the actual time it took him to get ready.

Actual time - Estimated time = Error

45 minutes - 45 minutes = 0 minutes

The error is 0 minutes, which means Patrick's estimate was exactly right and there was no error.

However, if we assume that Patrick made a mistake when he estimated and that his actual time is the correct value, then we can find the percent error as follows:

Error = | Actual time - Estimated time | = | 45 minutes - 60 minutes | = 15 minutes

Percent error = (Error / Estimated time) x 100% = (15 minutes / 60 minutes) x 100% = 25%

Therefore, the percentage error will be 25%.

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Answer:

2064.19 km^3

Step-by-step explanation:

Formula for volume of a sphere

V = 4/3 pi r^3

  = 4/3  *  3.14  * 7.9^3  =

Answer:

\(2064\ km^3\)

Step-by-step explanation:

Volume of a Sphere: \(\frac{4}{3}\pi r^3\)

\(V=\frac{4}{3}\pi r^3\)

\(V=\frac{4}{3}*3.14*(7.9)^3 \\\\V=\frac{4}{3}*3.14*493.039\\\\V=\frac{4}{3}*1548.142\\\\V=\frac{4}{3}*\frac{1548.142}{1}\\\\V=\frac{6192.568}{3}\\\\V=2064.18933 < == round\ to\ the\ nearest\ whole\ number\\\\V=2064\ km^3\)

Therefore, the volume of the sphere is \(2064\ km^3\)

Hope this helps!

The simplest form of the expression can be shown as;

(y - 4) (y + 1)/(y + 4) (y - 3)

Simplifying algebraic expressions involves reducing or combining like terms, applying the distributive property, and performing operations such as addition, subtraction, multiplication, and division.

Step 1;

We know that we can write the expression as shown in the form;

(y - 1) (y + 2)/ (y + 3) ( y + 4) ÷ (y + 2) (y - 5)/(y + 3) ( y - 4) * (y + 1) (y - 5)/ (y -1) (y - 3)

Step 2;

(y - 1) (y + 2)/ (y + 3) ( y + 4) * (y + 3) ( y - 4)/(y + 2) (y - 5) * (y + 1) (y - 5)/ (y -1) (y - 3)

Step 3;

The simplest form then becomes;

(y - 4) (y + 1)/(y + 4) (y - 3)

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Step-by-step explanation:

For right triangles     tan B = opposite leg / adjacent leg

tan B = 3/4  

arctan (3/4) = B = 36.87 degrees

The required length of the guy wire, to the nearest foot is 15 feet.

We can use the Pythagorean theorem to solve for the length of the guy wire. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we can consider the 7-foot pole, the 4-foot distance from the stake to the pole, and the guy wire as the sides of a right triangle. Therefore, the length of the guy wire (the hypotenuse) can be found using the formula:

c² = a² + b²

Where c is the length of the guy wire, a is the 4-foot distance from the stake to the pole, and b is the 14-foot distance from the pole to the tower. Plugging in the given values, we get:

c² = 4² + 14²

c² = 16 + 196

c² = 212

c = √212

c = 14.6

So, the length of the guy wire is approximately 14.6 feet, rounded to the nearest foot, which is 15 feet.

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Answer:

The answer for the nearest foot is 36ft long.

Step-by-step explanation:

So first we have to find the hypotenuse of the small triangle which is:

                                     \(a^{2}\)+\(b^{2}\)=  \(c^{2}\)

                                     \(7^{2}\)+\(4^{2}\)=\(c^{2}\)

                                     65 = \(c^{2}\)

                                     ±\(\sqrt{65}\)=\(\sqrt{c^{2} }\)​

                                     8.062... = c

Then we compare the small triangle to the big triangle:Compare the small triangle to the big triangle (in the photo link):

After that we set up a proportion and solve for x:Set up a proportion and solve for x which is:

                                     \(\frac{4}{18}\)=\(\frac{8.062}{x}\)

                                    \(4x\)=  145.120

                                    \(\frac{4x}{4}\)=\(\frac{145.120}{4}\)

                                   \(x=36.280\)

                                   \(x\)≈  36

The final answer is the guys wire is 36 ft long.

The equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The points are given as

(-4, 2) and (12, 6)

Calculate the slope of the points using

m = (y2 - y1)/(x2 - x1)

So, we have

m = (6 - 2)/(12 + 4)

Evaluate

m = 0.25

The equation is then calculated as

y = m(x - x1) + y1

Where

(x1, y1) = (-4, 2)

So, we have

y = 0.25(x + 4) + 2

Expand

y = 0.25x + 1 + 2

Evaluate

y = 0.25x + 3

Hence, the equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3

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Answer:

can you like write it out normally please, i can answer it then

Step-by-step explanation:

After 4 visits, members would pay $160

After 4 visits, non-members would pay $80

After 6 visits, members would pay $168

After 6 visits, non-members would pay $120.

The equation that can be used to solve for the number of visits the cost would be equal is $144 + 4n = $20n

The total cost for members and non-members would be $180.

Dominic can guess the number of visits he plans to make in a year. If it would be greater than 9, he should pay for the membership. If not, he should not become a member.

Total cost for members = annual fee + (number of visits x cost per visit)

Total cost for non-members = (admissions + parking + cost of renting the ice skate) x number of visits

After 4 visits:

Total cost for members = $144 + (4 x 4) = $160

Total cost for non-members = (11 + 5 + 4) x 4 = $80

After 6 visits:

Total cost for members = $144 + (4 x 6) = $168

Total cost for non-members = (11 + 5 + 4) x 6 = $120

The equation that can be used to solve for the number of visits the cost would be equal is: $144 + 4n = $20n

In order to determine the value of n, take the following steps:

Combine similar terms: $144 = $20n - $4n

Add similar terms together : $144 = $16n

Divide both sides by 16 : 144 / 16

n = 9

Total cost = $20 x 9 = $180

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It is possible for there to be a real number t such that tan(t) is equal to 5/4.

The tangent function (tan) is a periodic function that repeats its values every π radians or 180 degrees. It has both positive and negative values across its periodicity. Therefore, for any given value of tan(t), there are multiple solutions.

To find a specific angle where tan(t) is equal to 5/4, we can use inverse trigonometric functions. The inverse tangent function (arctan or \(tan^{-1}\)) can be used to find the angle associated with a given tangent value.

In this case, we can find an angle t such that tan(t) = 5/4 by taking the inverse tangent of 5/4. Using a calculator or mathematical software, we find that arctan(5/4) is approximately 51.34 degrees or approximately 0.896 radians.

Therefore, there exists a real number t such that tan(t) is equal to 5/4, specifically at approximately t = 51.34 degrees or t = 0.896 radians.

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Answer:

Free oints

Step-by-step explanation:

The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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Step-by-step explanation:

volume of a cylinder is pi × r² × height

r = 2.5

height= 4

volume = pi × 2.5² × 4

volume = 25 pi

Let:

r be the number of roses

c be the cost of a flower arrangement

Let's consider that a flower arrangement has 1 vase and "r" roses.

Then, the cost of a flower arrangement is:

c = cost of vase + cost of roses

c = 10 + 5r

Which is the same as

c = 5r + 10

Answer:

c = 5r + 10

9514 1404 393

Answer:

  (x, y, z) = (2, 1, -5)

Step-by-step explanation:

There are numerous equation solvers available on the web. The attached result is from one of them.

__

You may find it easier to solve these by hand if you eliminate fractions.

The first step is to look to see what you have, then formulate a strategy for getting a solution. Because the equations containing y have opposite coefficients, one of which is -1, we choose to use those to eliminate y. Immediately, we will have two equations in x and z.

If  you multiply the first equation by 3 and add that to the second, then you will eliminate y. The third equation already has y eliminated, so you will then have two equations in x and z.

  3(2x -y +z) +(x +3y -z) = 3(-2) +(10)

  6x -3y +3z +x +3y -z = -6 +10

  7x +2z = 4 . . . . [eq4]

Subtracting the third equation from this eliminates z, so you have ...

  (7x +2z) -(x +2z) = (4) -(-8)

  6x = 12

  x = 2

Substituting into the third equation gives ...

  2 +2z = -8

  2z = -10

  z = -5

Then using the first equation, you have ...

  y = 2x +z +2 = 2(2) +(-5) +2 = 1

(x, y, z) = (2, 1, -5)

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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Answer:

5 hours

Step-by-step explanation:

A service call would have to be 5 hours for both companies to charge the exact same amount.

Answer:

443

Step-by-step explanation:

hib9

Answer:

last option

Step-by-step explanation:

\(-\frac{3}{8}\) ÷ \(-\frac{1}{3}\) = 3/8 * 3 = 9/8 = 1 1/8

Answer

D

Step-by-step explanation:

Interpreting the statements gradually;

Negative StartFraction 3 over 8 = -3/8

Negative one-third= -1/3

Quotient of -3/8 and -1/3 Ko,

Means we divide the larger number by the smaller one:

-3/8 ÷-1/3 = 3/8 ×3/ = 9/8= 1 1/8

Interpreting it in computer language we have:

One StartFraction One over Eight EndFraction