A right rectangular pyramid is sliced vertically (down) by a plane passing
through the vertex of the pyramid. what is the shape of the cross-section?

Answer:

8 Edges.

Imagine a cardboard box. The top has four edges and the bottom of it has another four.

Answer:

8

Step-by-step explanation:

count top edges then multiply by 2

The volume of the cylinder when its radius is tripled is 405π unit³.

The volume of the cylinder when its radius is tripled is calculated by applying the formula for volume of a cylinder as follows;

V = πr²h

where;

V₁/r₁² = V₂/r₂²

where;

V₁ is the initial volume = 45π unit³

r₁ = 3 units

when the radius is tripled, r₂ = 3r₁

V₁/r₁² = V₂/r₂²

V₂ = (V₁/r₁²) x r₂²

V₂ = (V₁/r₁²) x (3r₁)²

V₂ = 9V₁

V₂ = 9 x 45π unit³

V₂ = 405π unit³

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Answer:

3.1 hrs  painting together

Step-by-step explanation:

Lucia rate = 1 room/ 5 hr

Marie rate = 1 room/8hr

now combine the rates

1 room / ( 1/5 + 1/8) = 3.077 hrs

Answer:

x = 3

Step-by-step explanation:

Equating the secants :

Answer:

3

Step-by-step explanation:

Theorem:

If two secants intersect outside a circle, then the product of the length of the exterior segment of one secant and the length of that secant equals the product of the corresponding parts of the other secant.

In this case:

10 × (10 + 5x + 2) = 9 × (9 + 7x)

10(5x + 12) = 9(7x + 9)

50x + 120 = 63x + 81

-13x = -39

x = 3

Answer:

y=3x+5

Step-by-step explanation:

Take the point you are given and plug it into whatever you're using (paper or a sight) take the slope and find another whole number that contents with the slope's path. now time for the easy part. make the start of the equation; in this case, its y=3x now once you have done that make a line that goes through the y axis, this will give you the y-intercept of 5. if you are using a sight then its way easier; you can either look and estimate where it crosses the y axis or you can start at a number and go up or down depending on how close you are to your 2 points. once you have done that you should have all you'll need to make the equation!

if this makes no sense tell me!

Answer:

x = 3, y = -1.

Step-by-step explanation:

4x + 5y = 7

y = 3x - 10

Substitute for  y = 3x - 10 in the first equation:

4x + 5(3x - 10) = 7

4x + 15x - 50 = 7

19x = 7 + 50 = 57

x = 57/19 = 3.

Now plug x = 3 in the second equation

y = 3(3) - 10

y = 9 -10

y = -1.

Answer:

radius r = 1.41047396 m

base circumference C = 8.86226925 m

volume V = 5.87697483 m^3

curved surface area A = 12.5 m^2

base surface area B = 6.25 m^2

total surface area K = 18.75 m^2

base circumference C = 2.82094792 π m

volume V = 1.87069919 π m3

curved surface area A = 3.97887358 π m^2

base surface area B = 1.98943679 π m^2

total surface area K = 5.96831037 π m

Step-by-step explanation:

V = (2/3)πr^3

C = 2πr

A = 2πr^2

B = πr^2

K = (2πr^2) + (πr^2) = 3πr^2

Answer:

Approximately 6.4 ft³

Step-by-step explanation:

A *hemisphere* is half of a sphere. As far as surface area goes, we not only need to account for the curved area, but also the area of the circular disc at the bottom. The area of the curved region is going to be half the area of the whole sphere. Since a sphere with radius r has a surface area of 4πr², the curved part of the hemisphere must have half that, or 2πr². Add in the area of the circular disc, πr², and we have a total area of 3πr². Setting this equal to the given area of 12.5 ft², we can solve for r:

[tex]3\pi r^2=12.5\\r^2=12.5/3\pi\\\\r=\sqrt{12.5/3\pi}[/tex]

Now, using the formula for the volume of a sphere, [tex]V=(4/3)\pi r^3[/tex], we can substitute our new value for r and solve:

[tex]V=(4/3)\pi r^3\\=(4/3)\pi(\sqrt{12.5/3\pi})^3\\\approx 6.4[/tex]

Answer:

Step-by-step explanation:

(4x^4 - 1)(4x^4 + 1)

(2x^2 - 1)(2x^2 + 1)(4x^4 + 1)

Step-by-step explanation:

When two statements are connected with an 'and,' you have a conjunction.

For conjunctions, both statements must be true for the compound statement to be true.

When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.

Answer:

A.

Step-by-step explanation:

I believe it is A. because there are the numbers that equal all together to get that domain.

Answer:10 squared plus 9 squared equals 15 squared

Step-by-step explanation:

take the square root of your answer

Answer:

Part B:3/6 should be your answer answer:)!

Part C:The side length is 4 feet 6 inches, it is a rational number because both numbers can be showed as a fraction.

Step-by-step explanation:

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.

Multiply the row of the first matrix with the column of the second to have:

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

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If the area of a semicircle and an isosceles triangle is 56.55 cm² and 18 cm². Then the area of the shaded region will be 38.55 cm².

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Then the area of the shaded region will be given by the difference between the area of the semicircle and the area of the isosceles triangle.

The area of the shaded region will be

Shaded area = area of semicircle - area of isosceles triangle

Then the area of the semicircle will be

Semicircle area = π 6² / 2

Semicircle area = π36/2

Semicircle area = 56.55 square cm.

The area of the isosceles triangle will be

Isosceles triangle area = 2 × (1/2) × 6 × 6 sin30°

Isosceles triangle area = 6 × 6 × 0.5

Isosceles triangle area = 18 square cm

Then the area of the shaded region will be

Shaded area = 56.55 - 18

Shaded area = 38.55 square cm

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The perimeter of the triangle ΔWXY is P = 14.50 cm

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔXYZ

Now , the measure of sides of the inscribed triangle ΔQRS is

QR = 2.93 cm

RS = 2.04 cm

QS = 2.28 cm

where the points Q , R and S are the midpoints of the sides of the triangle ΔXYZ

So , the measure of sides of the triangle are twice the lengths of the sides of triangle ΔQRS

And , the perimeter P = 2 ( 2.93 + 2.04 + 2.28 )

On simplifying , we get

P = 2 ( 7.25 )

P = 14.50 cm

Hence , the perimeter is P = 14.50 cm

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The complete question is attached below :

What is the perimeter of ΔWXY?

a) 11.57 cm

b) 12.22 cm

c) 12.46 cm

d) 14.50 cm

Amount earned per week=400-380=$20

Price of one shoe=70$

Total weeks

Minimum 4 weeks

Answer:

4 weeks

Step-by-step explanation:

Given:

Therefore,

Weekly surplus = weekly net income - weekly expenses

                          = $400 - $380

                          = $20

Given:

Number of weeks = cost of new shoes ÷ weekly surplus

                              = $70 ÷ $20

                              = 3.5

                              = 4 weeks (rounded to nearest week)

Therefore, it will take 4 weeks to save enough to buy the shoes.

The categories that the expenses best fit into are:

fixed expenses :

variable expenses:

Fixed expenses are the expenses that are constant. They do not vary with the quantity bought. Variable expenses are the expenses that vary. More quantities can be bought and this increases the expenses.

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Answer:

Multiply the number by 3 to get the next number.

Step-by-step explanation:

Answer:

15t

Step-by-step explanation:

if you do the sqrt of 25 you get five than multiply that by 3 to get 15 then do the sqrt of t to get t

Hope this helps! ;-)

Step-by-step explanation:

4(5x²) + 16 = 400

5x² + 4 = 100

5x² = 96

x² = 19.5

x = ±sqrt(19.5) = ±4.415880433...

Answer: Heyaa!

If you mean medicine treatment the definition is...

If you mean just basic treatment the definition is...

Hopefully this helps you:

- Matthew

Mediator variable explains the relationship between IV and DV.

Moderator variable that changes the relationship between an IV and a DV.

A mediator variable can be described as a third variable that explains how an independent variable affects a dependent variable, while a moderator variable can directly alter or strengthen the relationship between the independent and independent variable.

For example, alertness is a mediator variable between the independent variable, sleep quality, and dependent variable, achievement.

In summary, mediator variable explains the relationship between IV and DV, while the variable that changes the relationship between an IV and a DV is the moderator variable.

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Answer:

5/12 = 0.416666....   also in percentage 29,41 % of the plant are beans and 70.59 % are tomato plants.

Answer:

x = 74 degrees

Answer:

74 degrees

Step-by-step explanation:

Remember that CO interior angles equal to 180 degrees so what you need to simply do is do 180 minus 106 degrees giving you 74 degrees as your answer

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × 20 = 6 × 20 = 120 cm²

Answer:

  53,157

Step-by-step explanation:

The population growth of a bacterial colony can be modeled by an exponential function of the form ...

  p(t) = a·b^t

where a is the initial population and b is the growth factor. The growth factor is ...

  b = 1 +r

where r is the growth rate.

__

In this problem we have ...

  a = 29,600

  b = 1 +5% = 1.05

  t = 12

So, the population after 12 hours is

  p(12) = 29600×1.05^12 ≈ 53,157

The colony will contain 53,157 bacteria in 12 hours.