12:00,10:00,6:00,4:00. What is the missing time?

To allow for a models height,a designer is willing to use models that require him to change hems either up or down 2 inches.the

jenyasd209 [6]

(a)

Let's assume

the range of the lengths of the skirts is t inch

now, we are given

to change hems either up or down 2 inches

so, total change in length should be 2

so, we will have right side =2

the length of the skirts is 20 inch

this will be either greater or lesser to length of skirts

so, the difference between them will be t-20

so, we get

$|t-20|=2$

(b)

now, we can find range

firstly, we will break absolute sign

$|t-20|=-(t-20)$ for t<20

$|t-20|=(t-20)$ for t>20

because value of |t-20| must be positive

so, we get

$-(t-20)=2$

Multiply both sides by -1

$-(t-20)\times -1=2\times -1$

$(t-20)=-2$

Add both sides by 20

$(t-20)+20=-2+20$

$t=18$

$(t-20)=2$

Add both sides by 20

$(t-20)+20=2+20$

$t=22$

so, the range of the lengths of skirts is

18 in to 22 in..........Answer

(c)

Firstly, we will find difference in height of the model

5 feet 9 inches $=12\times 5+9=69in$

6 feet = $12\times 6=72in$

now, we can find difference in height

$=72-69=3in$

and we are given

difference in length of skirts =2 in

so, the difference in height is greater than the difference in length of skirts

so, the answer is NO

6 0

3 years ago

A sphere and a cylinder have the same radius and height the volume of the cylinder is 18cm3 what is the volume

artcher [175]

Answer:

The volume of the sphere is 24 cm³

Step-by-step explanation:

* Lets explain the difference between the cylinder and the sphere

- The cylinder has two circular bases and a curved surface

- The bases of the cylinder have radius r and the curved surface has

a height h

- The volume of the cylinder = area of its base × its height

∵ The area of the circle is πr²

∴ The volume of the cylinder is V = π r² h

- A sphere is a perfectly round geometrical object in three-dimensional

space

- It the set of points that are all at the same distance r from a given point

that means its radius equals its height

- The volume of the sphere = 4/3 π r³

* Now lets solve the problem

∵ The cylinder and the sphere have the same radius and height

∵ The volume of the cylinder is 18 cm³

- Lets equate the rule of the volume of the cylinder by 18

∵ The volume of the cylinder = π r² h

∴ π r² h = 18 ⇒ divide both side by π

∴ r² h = 18/π

- The sphere and the cylinder have the same radius and height

∴ The radius and height of the sphere have the same value of the

cylinder

∵ The the height of the sphere is its radius

∴ r²h of the cylinder = r³ in the sphere

∴ r³ = 18/π

- Substitute this value in the rule of the volume of the sphere

∵ The volume of the sphere = 4/3 π r³

∴ The volume of the sphere = 4/3 π (18/π) ⇒ cancel π's

∴ The volume of the sphere = 4/3 (18) = 24 cm³

* The volume of the sphere is 24 cm³

5 0

3 years ago

The graphs of which of these pairs of linear equations intersect at the point (-3, 2)? Select all that apply.

Cloud [144]

Answer:

Options B and E.

Step-by-step explanation:

We want to see for which systems the point (-3, 2) is a solution (a solution of a system means that both equations intersect in that point).

The point (-3, 2) is a solution of the system only if this point belongs to both linear equations in the system.

Then for each system, we need to replace x by -3 and y by 2 in both equations and see if the equality is true or not.

A)

6x - y = 15

-3x + 4y = -18

In the first equation we have:

6*(-3) - (2) = 15

-18 - 2 = 15

-20 = 15

This is false, so we can discard option A.

B)

2x + y = -4

3x + 2y = -5

In the first equation we have:

2*(-3) + 2 = -4

-6 + 2 = -4

-4 = - 4

This is true, now let's look at the other equation.

3*(-3) + 2*(2) = -5

-9 + 4 = -5

-5 = - 5

This is also true, then the point (-3, 2) is a solution for both equations, then the point (-3, 2) is a solution for the system.

C)

x + 8y = 19

4x - 5y = 2

In the first equation we have:

(-3) + 8*(2) = 19

-3 + 16 = 19

13 = 19

This is false, then we can discard option C.

D)

8x + y = 22

-2x - 5y=4

In the first option we have:

8*(-3) + 2 = 22

-24 + 2 = 22

-22 = 22

This is false, so we can discard option D.

E)

5x - y = -17

x + 4y = 5

In the first option we have:

5*(-3) - (2) = -17

-15 - 2 = -17

-17 = -17

This is true, now let's look at the other equation:

(-3) + 4*(2) = 5

-3 + 8 = 5

5 = 5

This is also true, then the point (-3, 2) is a solution for both equations in the system, which means that the point (-3, 2) is a solution for the system.

Then the correct options are B and E.

8 0

3 years ago

Explain: How would you solve the equation? Place the steps below in the correct order.

nirvana33 [79]

use the distributive property

combine alike terms

add the negative number to the other side

combine alike terms

then divide on both sides to get the variable by itself

8 0

4 years ago

Which function has an inverse that is not a function?

Alekssandra [29.7K]

Answer:

your choice is correct

Step-by-step explanation:

f(x) = x^2 does not pass the horizontal line test (a horizontal line intersects its graph in two places), so its inverse does not pass the vertical line test. The inverse is not a function.

_____

Comment on the graph

The original function f(x)=x^2 is shown by the red curve. Its reflection across the orange dashed line y=x gives the inverse relation, in blue. The black horizontal and vertical lines show the multiple points of intersection with the curves, indicating the inverse relation is not a function.

6 0

4 years ago

12:00,10:00,6:00,4:00. What is the missing time? ​

12:00,10:00,6:00,4:00. What is the missing time?