The pyramid shown is cut into two pieces by slicing vertically from point P to the square base TVWX. This cuts the square base into two equal-sized rectangles. Which describes the cross-section of the square pyramid with this cut?

Answer:

25.12 m (or 25.13 m)

Step-by-step explanation:

Recall the formula for the circumference of a circle:

\(2\pi r\)

where r is the radius.

We are given that the radius is 4 m, so let's plug that into our formula:

\(2\pi r=\\2\pi *4=\\8\pi\)

\(\pi\) is approximately 3.14, so let's multiply 8 m by 3.14. We get:

25.12

So, the circumference is about 25.12 m.

(if you multiply by pi itself using a calculator, the answer is about 25.13 m)

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

Answer:

Step-by-step explanation:

plug g(x) into fx (x+5)(x+5)-1

Answer:

1384.7

Step-by-step explanation:

42/2     21^2x3.14=1384.74

Hope this Helps :)

13.13.13.13.13 in exponential form is 13^5

The expression is given as:

13.13.13.13.13

The factors of the above expression are 13.

And each factor is grouped by product

There are five 13s in the expression.

So, we have:

13.13.13.13.13 = 13^5

Hence, 13.13.13.13.13 in exponential form is 13^5

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If point B (3, -1) has been translated from A by the Vector (4, 3). Then the coordinates of A will be (12, -3)

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

Point B (3, -1) has been translated from A by the Vector (4, 3).

Then the coordinates of A will be

Point B (3, -1) x  (4, 3)

Point B (3 x 4, -1 x 3)

Point B (12, -3)

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Answer:

t = mqv/s

Step-by-step explanation:

see pic for explanation

Answer:

dude. its 4.Y

Answer:

C is the correct answer

Step-by-step explanation:

1/3 × pi × 3² × 10 = 94.24777961

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

a) The direct variation equation is y = 33x.

b) The customer can pay the company to collect 15 bins.

c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.

A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.

B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:

y = 33x

500 = 33x

x = 500/33

x ≈ 15.15

Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.

C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:

y = 33x + 30

530 = 33x + 30

500 = 33x

x ≈ 15.91

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Answer:

-225 ft

Step-by-step explanation:

Initial position:

Movements:

Final position is -225 ft, choice B

Answer:

amita can only use and it is only 2

2

Answer:  The correct answer is $15.06 is remaining after 71 minutes

Step-by-step explanation:

What we need to find out:

What we know:

If we convert the minutes (m) and remaining credits (c) to (x,y) data sets, they would look like the following:

  x       y

 41    19.26       (41, 19.26)

 57   17.02       (57, 17.02)

Plugging the x, y values into a linear equation, we get:

y - 19.26 = (17.02 - 19.26) / (57 - 41) * (x-41)

Solve the equation for y by adding 19.26 to both sides:

y − 19.26 + 19.26 = −0.14x + 5.74 + 19.26

y = −0.14x + 25

Resulting standard slope-intercept format:

y = −0.14x + 25

Now plug in 71 for the x value (minutes):

y = (-0.14*71) + 25

y = 15.06

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Answer:

Mean=685

Variance=36.7

Step-by-step explanation:

The mean of uniform discrete distribution can be expressed as the average of the boundaries

mean=( b+a)/2

The variance of uniform discrete distribution can be expressed as the difference of the boundaries decreased by 1 and squared, decreased by 1 and divided by 12.

σ²=[(b-a+1)^2 - 1]/12

We were given the wavelength from from 675 to 695 nm which means

a= 675, b= 695

We can now calculate the mean by using the expresion below

mean=( b+a)/2

Mean=( 675 + 695)/2

=685

The variance can be calculated by using the expression below

σ²=[(b-a+1)^2 - 1]/12

σ²=[(695-675+1)^2 -1]/12

σ²=440/12

σ²=36.7

Therefore, the the mean and variance, of the wavelength distribution for this radiation are 685 and 36.7 respectively

The area under the curve of the standard normal​ distribution is 98.61% of the area between equals negative 2. 2 and zequals2. 2

The area under the curve of a standard normal distribution between z = -2.2 and z = 2.2 is given by the integral of the normal distribution function from -2.2 to 2.2. This can be calculated using a table of standard normal probabilities or using a calculator with a normal distribution function.

The result is approximately 0.9861. To convert this to a percentage, simply multiply by 100: 0.9861 * 100 = 98.61%. Therefore, about 98.61% of the area is between z = -2.2 and z = 2.2 (or within 2.2 standard deviations of the mean).

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. It is also known as the z-distribution or the unit normal distribution. It is often used in statistical tests, such as the z-test, t-test, and chi-square test. It is also used to determine confidence intervals, to calculate probabilities, and to measure the probability of a given event.

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Answer:

$30.00

Step-by-step explanation:

The original price of the sweater is $75.00.  The new sale price is the original price of  100% less  60% of the original price.  That means the sales price is 40% of the original price.

You can do this 2 ways:

1.  $75 x 60% or .60 = $45

  $75-45 = $30

or

2.  $75 x 40% or .40 = $30

Total distance travelled by the honey bee is 4km and honeybee’s displacement is 0

Displacement is defined as the shortest distance travelled by the object.

According to the question we have been given that the honeybee travelled 2km before returning to the hive.

Thus the total distance travelled by the honeybee is = 2 + 2 km

                                                                                             = 4 km

And the honeybee’s displacement = 0

Because the bee has returned to the same from where she had left and displacement is a vector quantity that has magnitude and direction and depends upon the initial and final position. So as the initial and final destination is same for the honeybee. Thus the displacement will be zero.

Hence total distance = 4km

And displacement = 0

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Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Given:

A set of all real numbers greater than 8 but less than 65​.

To find:

The set notation of the given set.

Solution:

Real number: All rational or irrational numbers are known as real numbers.

Let the unknown variable x represents the elements  of the set, then the value of x must be greater than 8 but less than 65.

\(8<x<65\)

The set notation is:

\(Set=\{x|x\in R,8<x<65\}\)

Therefore, the required set is \(\{x|x\in R,8<x<65\}\).

The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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The area of

Triangle A = 20

Rectangle B =30

Whole figure = 50

What is the area of a triangle?

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles of a triangle add up to 180 degrees. It is the polygon with the fewest sides.

Here, we have

Given the figure and we have to find the area of each part of the figure and the whole figure.

Area of Triangle A

A = 1/2ah

a = 10, h = 7-3 = 4

A = 1/2(10)(4) = 20

Area of rectangle B

A = 3×10 = 30

Area of the whole figure

A =  Triangle A + Rectangle B

A = 20 + 30

A = 50

Hence, The area of

Triangle A = 20

Rectangle B =30

Whole figure = 50

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Answer:

-2 , -1,  2,  5

Step-by-step explanation:

Answer:

-2,-1,2,5

Step-by-step explanation:

Answer:

12.56637061 ?????

Step-by-step explanation:

Answer: 0.3 meters.

Step-by-step explanation:

First we need to turn one of those into a fraction or decimal to make things easier for us. Lets turn \(1 \frac{1}{5}\) into a decimal.

1 1/5 as a decimal is 1.2.

Now we compare the two

\(1.5 > 1.2\)

Now we need to subtract 1.5 by 1.2 to see how much more he jumps by.

\(1.5 - 1.2 = 0.3\)

Steve jumps more by 0.3 meters.

Answer:

3/10 or .3 meters

Step-by-step explanation:

1 1/5 = 1.2

1.5 - 1.2 = 0.3

Answer: 14h + 11d

That's it

we get 6 = 6 , in   42= 6x7 using commutative law of multiplication.

What do associative law and commutative law mean?

using the Commutative Law of Multiplication.

42 = 6 x 7

42 / 7 = 6

 6  =  6

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The area of the region in the first quadrant within the limacon r = 5 + sin(o) is 25π/2 + 5π - 2.

The definite integral that represents the area of the region in the first quadrant within the limacon r = 5 + sin(o) is given by:

∫0π/2 (5 + sin(o))2 do

This integral can be evaluated by using the formula for the area of a circle, A = πr2, and converting it to polar coordinates. Since the radius of the limacon is given by r = 5 + sin(o), the area of the region within the limacon is calculated by:

A = ∫0π/2 (5 + sin(o))2 do

 = ∫0π/2 (25 + 10 sin(o) + sin2(o)) do

 = 25π/2 + 5π - (cos(π/2) - cos(0))

 = 25π/2 + 5π - 2

Therefore, the area of the region in the first quadrant within the limacon r = 5 + sin(o) is 25π/2 + 5π - 2.

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