1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ASHA 777 [7]
3 years ago
13

Rectangular windows are being made into a wall of windows for an office building. Each wall is 14 feet tall and 12 feet wide. Th

e wall will be divided into x columns and into x + 7 rows. Find the area of one of these windows.
Mathematics
1 answer:
Artemon [7]3 years ago
7 0

Answer:

  168/(x² +7x)

Step-by-step explanation:

The height of each window is 14/(x+7), and the width of each window is 12/x. The area of each window is the product of its height ans width:

  area = (14/(x+7))(12/x) = 168/(x(x +7))

  area = 168/(x² +7x)

_____

<em>Comment on the problem</em>

There is not enough information given to determine suitable values for x. If x is 42, each window is a square 3 3/7 inches on a side.

You might be interested in
A Union worker is to see an increase in pay of 2.5% per year next year. Her salary is $41,000/yr. If inflation was predicted to
Fed [463]

Answer:

i need points rq thanks so much

Step-by-step explanation:

imma go waste these points now

8 0
3 years ago
Find the mean, median, and mode of the data set.
Paladinen [302]

Answer:

Step-by-step explanation:

Mode. is. 2

Mean. Is 4.2

Median. Is. 4.5

6 0
3 years ago
Read 2 more answers
Find the angle between u =the square root of 5i-8j and v =the square root of 5i+j.
fenix001 [56]

Answer:

The angle between vector \vec{u} = 5\, \vec{i} - 8\, \vec{j} and \vec{v} = 5\, \vec{i} + \, \vec{j} is approximately 1.21 radians, which is equivalent to approximately 69.3^\circ.

Step-by-step explanation:

The angle between two vectors can be found from the ratio between:

  • their dot products, and
  • the product of their lengths.

To be precise, if \theta denotes the angle between \vec{u} and \vec{v} (assume that 0^\circ \le \theta < 180^\circ or equivalently 0 \le \theta < \pi,) then:

\displaystyle \cos(\theta) = \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|}.

<h3>Dot product of the two vectors</h3>

The first component of \vec{u} is 5 and the first component of \vec{v} is also

The second component of \vec{u} is (-8) while the second component of \vec{v} is 1. The product of these two second components is (-8) \times 1= (-8).

The dot product of \vec{u} and \vec{v} will thus be:

\begin{aligned} \vec{u} \cdot \vec{v} = 5 \times 5 + (-8) \times1 = 17 \end{aligned}.

<h3>Lengths of the two vectors</h3>

Apply the Pythagorean Theorem to both \vec{u} and \vec{v}:

  • \| u \| = \sqrt{5^2 + (-8)^2} = \sqrt{89}.
  • \| v \| = \sqrt{5^2 + 1^2} = \sqrt{26}.

<h3>Angle between the two vectors</h3>

Let \theta represent the angle between \vec{u} and \vec{v}. Apply the formula\displaystyle \cos(\theta) = \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|} to find the cosine of this angle:

\begin{aligned} \cos(\theta)&= \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|} = \frac{17}{\sqrt{89}\cdot \sqrt{26}}\end{aligned}.

Since \theta is the angle between two vectors, its value should be between 0\; \rm radians and \pi \; \rm radians (0^\circ and 180^\circ.) That is: 0 \le \theta < \pi and 0^\circ \le \theta < 180^\circ. Apply the arccosine function (the inverse of the cosine function) to find the value of \theta:

\displaystyle \cos^{-1}\left(\frac{17}{\sqrt{89}\cdot \sqrt{26}}\right) \approx 1.21 \;\rm radians \approx 69.3^\circ .

3 0
3 years ago
Which of these strategies would eliminate a variable in the system of equations?
Fofino [41]

Answer:

yes because a is the answer

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Triangle ABC has two 36 degree angles. What is the measure of the third angle?
9966 [12]

Answer:

28

Step-by-step explanation:

i think hope this helps

4 0
3 years ago
Read 2 more answers
Other questions:
  • I need the answer to the problem
    13·1 answer
  • 1. If f(x) = 4x — 7 and , find each value:<br> a. f(3)<br> b. f(0)
    14·2 answers
  • Solve the following equation for a. be sure to take into account whether a letter is capitalized or not g = Ha + na
    6·1 answer
  • Information on a packet of​ seeds, which may not be a random sample of​ seeds, claims that the germination rate is 94​%. ​What's
    10·1 answer
  • Convert these improper fractions to mixed numbers 74 over 3 please help
    7·1 answer
  • Grade 5
    11·1 answer
  • Jamie ran the first 2000 meters in 6 minutes. At that rate, how long would it take Jaime to run 5000 meters?
    6·1 answer
  • What is the equation of the line
    15·2 answers
  • Write as a numeral in simplest form:(6x1000)+(4x100)+(6x1)
    5·1 answer
  • Plsss help.........................
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!