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3 years ago

6

1. A rectangular rug has a length of 3 ft and width of 1 ft. A similar rug has a length of 9 ft. What is the width of the simila

r rug?

1 answer:

Katarina [22]3 years ago

3 0

Answer:

The width of the similar rug is 3 ft

Step-by-step explanation:

Calculate the percentage between the lengths:

3/9 = 1/3 (percentage)

The percentage is fixed for the widths as well which means 1/x = 1/3

x=3

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Standard for<br> ola (y + 3)2 = -12(x - 2), iden<br> 1.<br> D<br> n111

Vedmedyk [2.9K]

Answer:

See below

Step-by-step explanation:

Your question is a bit unclear, so I'm going to assume you want the value of y or x:

(y+3)^2=-12(x-2)

-(y+3)^2/12=x-2

-(y+3)^2/12+2=x

(y+3)^2=-12(x-2)

y+3=sqrt(-12x+24)

y=sqrt(-12x+24)-3

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2 years ago

Nina makes $12 per hour at her job. She also earns commission. Last week she earned $78 in commission and made a total of $444.

Vesnalui [34]

Answer:

30.5 hours

Step-by-step explanation:

444-78=366

366/12=30.5

30.5 x 12= 366

7 0

2 years ago

Read 2 more answers

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

Becky needs to make cookies for a school bake sale. The cookies need to be distributed evenly on 2 or more plates. If each plate

Lelu [443]

Answer:

We can take 2 plates , 3 plates or 6 plates.

Step-by-step explanation:

1 dozen = 12 numbers

Total number of cookies = 42

Each plate has to get atleast 7 cookies ,all the plates should have the same number of cookies and also the number of plates must be greater than or equal to 2.

If we take 2 plates , there can be 21 cookies in each.

If we take 3 plates , there can be 14 cookies in each.

If we take 6 plates , there can be 7 cookies in each.

These are the 3 possible cases.

Since there cannot be broken pieces, no other combination is possible.

7 0

3 years ago

The Smith's are building a fence around their rectangular shaped yard. The posts are 2 yards apart. There are 7 posts along the

vovangra [49]

Answer:

Posts: 34

Area: 264 yard²

Step-by-step explanation:

Posts: (7 x 2) + (10 x 2) = 34

Area: 2 x (7 - 1) x 2 x (12 - 1) = 2 x 6 x 2 x 11 = 264 yard²

3 0

3 years ago