hala paid $1,202.17 for the carpet in her living room. The room has an area of 251.5 square feet. what was her unit cost of carpeting in dollars per square foot

Step-by-step explanation:

the scale factor k = 5/12

The scale factor k = 5/12 is required to dilate triangle ABC thus, its image, ABC is congruent to triangle EFD.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

From the figure attached, we are given that Triangle ABC is similar to triangle EFD.

Therefore,

BC/ FD = AC/ ED

These corresponding sides are proportional.

Scale factor;

EF / AB = 5/12

Then Angle between this sides is also equal.

The SAS rule of similarity of triangles states that two triangles will be similar if their corresponding two sides are proportional and the angle between these two sides is equal.

The scale factor k = 5/12 is required to dilate triangle ABC thus, its image, ABC is congruent to triangle EFD.

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Answer:

If the student is selected at random the answer is if you put 14 years apart of the student selected at random means the answer are not apart.

Step-by-step explanation:

14 years selected the problem is that 14-9 is more then 9 and u add that up to get the right equation for the 14 years apart

Answer:

first one. domain: all real numbers, range: {y | y ≥ 0}

Answer:

The domain is all real numbers

The range is y ≥ 0

Step-by-step explanation:

The domain is the values that x can take

The domain is all real numbers

The range is the values that y can take

The range is y ≥ 0

17 cubic units.

The volume (V) of a parallelepiped with one vertex at the origin is given by the absolute value of the scalar vector product of the vectors at the adjacent vertices.

V = |(a x b) · c|

In this case,

a = (1,4,0) = i + 4k + 0j

b = (-2,-5,2) = -2i -5j + 2k

c = (-2,2,1) = -2i + 2j + k

First, let's calculate the cross product of vectors a and b. i.e a x b as follows:

(i) Arrange the vectors in a matrix form

a x b = | i        j         k |

          | 1       4        0 |

          | -2    -5        2 |

(ii) Calculate the determinant of the matrix

a x b = i(8 - 0) -j(2-0) + k(-5+8)

a x b = i(8) -j(2) + k(3)

a x b = 8i - 2j + 3k

Secondly, calculate the scalar product of the cross product found above and the vector c as follows;

(a x b) . c = (8i - 2j + 3k) · (-2i + 2j + k)

Multiply like terms

(a x b) . c = (8 * -2)(i.i) + (-2 * 2)(j.j) + (3 * 1)(k.k)             [i.i = j.j = k.k = 1]

(a x b) . c = (-16) + (-4) + (3)

(a x b) . c = -16 - 4 + 3

(a x b) . c = -17

Thirdly, find the absolute value of the result found above. i.e

|(a x b) . c| = |-17|

|(a x b) . c| = 17

Therefore, the volume of the parallelepiped is 17 cubic units.

Answer:

1

Step-by-step explanation:

When 1 substract from any number then will get previous number.

Example:

Let any number that is 5

5-1=4

4 is the just previous number of 5

Therefore, number -1 = the previous number

Answer will be 1

Answer:

m-a = n

Step-by-step explanation:

a=m-n

Subtract m from each side

a-m = m-n-m

a-m = -n

Multiply each side by -1

-a+m = n

m-a = n

9514 1404 393

Answer:

  C. A horizontal stretch by a factor of 5/4

Step-by-step explanation:

Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.

Answer:

x=24

Step-by-step explanation:

if x is 24 in x/3, that would give us 24/3 or 8.

8-2=6 :)

Answer:

14cm

Step-by-step explanation:

Answer:

28 cm2

14 cm

Step-by-step explanation:

The type of sample is a stratified sampling.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data

Given that news reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park

We need to find the type of sample.

This is a stratified sampling because reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park

stratified sampling is a method of sampling from a population which can be partitioned into subpopulations.

Hence, the type of sample is a stratified sampling.

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Answer:

The range is 5.

Step-by-step explanation:

You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9

Answer:

60° is the answer sure

I hope the above pic explanation helps

I HOPE IT HELPS

HAVE A GREAT DAY

#Liliflim

Answer:

60°

Step-by-step explanation:

....................................

Answer:

C

Step-by-step explanation:

(1/√y)^-1/5

= (1/sqrt(y))^(-1/5)

=sqrt(y)^(1/5)

=y^(1/10)

= (tenth root of y)

=C

:)

Answer:

32

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]

Step-by-step explanation:

Given

[tex]\tan^2 \theta = \frac{3}{8}[/tex]

Required

[tex]\sec\ \theta[/tex]

We have:

[tex]\sec^2\theta = 1 + \tan^2 \theta[/tex]

This gives:

[tex]\sec^2\theta = 1 + \frac{3}{8}[/tex]

Take lcm and solve

[tex]\sec^2\theta = \frac{9+3}{8}[/tex]

[tex]\sec^2\theta = \frac{11}{8}[/tex]

Take square roots

[tex]\sec \theta = \frac{\sqrt{11}}{\sqrt 8}[/tex]

[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2}[/tex]

Rationalize

[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]

Answer:

answer is B

Step-by-step explanation:

i got it right on edg

Answer:

x = 3/5 = 0.6

Step-by-step explanation:

By the ASA Triangle Congruence Theorem, the two given triangles are congruent (vertical angles are congruent). Because we know that corresponding parts of congruent triangles are congruent, we can write the following equation: 7x - 3 = 2x. Now we can solve:

7x - 3 = 2x

-3 = -5x

3/5 = x

9514 1404 393

Answer:

  9

Step-by-step explanation:

The total depth of a parking space must be (18 ft +23 ft) = 41 ft. The lot is 72 ft by 41 ft, so can have (72 ft)/(8 ft) = 9 parking spaces.

12.50 on each ticket

Step-by-step explanation:

12.50 x 4 = 50.00

We keep brackets

(4n^2 + 3n - 5 ) -  (2n^2 + 3n + 6)

We change signs and we group

4n^2 - 2n^2 + 3n - 3n - 5-6

We simplify

2m^2 - 11

Answer: = 2.n^2  - 11

The value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11

The polynomial expression is given as;

(4n^2 + 3n - 5) - (2n^2 + 3n+ 6)

Open the bracket

4n^2 + 3n - 5 - 2n^2 - 3n- 6

Evaluate the like terms

2n^2 - 11

Hence, the value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11

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Answer:

[tex](3 {}^{x} + 2)(3 {}^{x} + 2)[/tex]

hope it is helpful to you

1=22e 3663 30-4949-29238342

Answer:

[tex]x = \sqrt{12} = 3.464[/tex]

Step-by-step explanation:

[tex]AC=AD+DC=13\\\text{Because ABC is a right triangle then}\\AB^2=AD.AC\\\Rightarrow AB^2=1 \times 13=13\\\Rightarrow AB = \sqrt{13}\\\text{In the right triangle ABD, since Pythagoras we also have}\\AB^2=AD^2+BD^2\\\Rightarrow BD^2=AB^2-AD^2\\\Rightarrow x^2= 13 - 1=12\\\Rightarrow x = \sqrt{12} = 3.464.[/tex]

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  False

Step-by-step explanation:

"Always" and "never" statements are generally false--especially when they relate to something like a topic of conversation. Even in the context of math and physics, we find exceptions to most "rules."

Answer:

3 8

× 2 7

______

2 6 6

+ 7 6

_______

1 0 2 6

Answer:

     38

x    27

   266

+  76_

 1026

Answer:

51

Step-by-step explanation:

Have a nice day :)

Answer:

[tex]centre = ( \frac{1 - 7}{2} , \: \frac{2 + 2}{2} ) \\ = ( - 3, \: 2)[/tex]

[tex]length = \sqrt{ {( - 7 - 1)}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ { - 8}^{2} } \\ = 8 \: units[/tex]

radius = 8÷2

= 4 units

Johnny was right

Answer:

40

Step-by-step explanation:

You can find y intercept by looking at the end of the equation, that’s what’s added. So +40 is the y intercept

The y intercept in this equation represents the one-time registration fee