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
Svet_ta [14]
3 years ago
5

What is the ratio of the width of the yard to the area of the yard in 10 feet long by 7 feet wide

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

Area = (length) x (width)

Area = (10-ft) x (7-ft) = 70 ft²

(Width) / (Area) = (7-ft) / (70 ft²)  =  1 / 10-ft .
You might be interested in
What is the equation of a circle centered at the origin with radius 15?
sashaice [31]

Answer:

D

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

Here r = 15, thus

x² + y² = 15² , that is

x² + y² = 225 → D

6 0
3 years ago
I need help with my math work.
Lesechka [4]

There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.

Let's translate the question.

Solution to the system

That's the x and y values where the two lines cross.  That's because the meeting point is the value of x and y that satisfies both equations.

Approximation ... to the nearest integer values

Where two integer grid lines cross is called a lattice point.  It's a point with integer coordinates.  Our solution, the meet of these two lines, doesn't fall exactly on a lattice point.  The nearest integer values means the closest lattice point to our intersection of lines.

Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.

Answer: (2,3)   second choice

6 0
3 years ago
How do you find a vector that is orthogonal to 5i + 12j ?
Rashid [163]
\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\
slope=\cfrac{a}{{{ b}}}\qquad negative\implies  -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\
-------------------------------\\\\

\bf \boxed{5i+12j}\implies 
\begin{array}{rllll}
\ \textless \ 5&,&12\ \textgreater \ \\
x&&y
\end{array}\quad slope=\cfrac{y}{x}\implies \cfrac{12}{5}
\\\\\\
slope=\cfrac{12}{{{ 5}}}\qquad negative\implies  -\cfrac{12}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{12}
\\\\\\
\ \textless \ 12, -5\ \textgreater \ \ or\ \ \textless \ -12,5\ \textgreater \ \implies \boxed{12i-5j\ or\ -12i+5j}

if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.

so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.

or using a unit vector for those above, then

\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}&#10;\\\\\\&#10;\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}&#10;\\\\\\&#10;\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}
4 0
3 years ago
PLEASE HELP! I'LL GIVE BRAINLIEST!!!!!!!
daser333 [38]

Answer:

1.6x10^-18 gram

Step-by-step explanation:

(5.3 x 10⁻²³ gram/molecule) x (20,000 molecule)

= (5.3 x 10⁻²³ x 2 x 10⁴) gram

= (10.6 x 10⁻²³⁺⁴) gram

= (1.06 x 10⁻²³⁺⁵) gram

= 1.06 x 10⁻¹⁸ gram

We need to find the mass of 20,000 molecules of oxygen. It can be calculated using unitary method. Here, we can multiply 20,000 molecules  by the mass of one oxygen molecule.

7 0
2 years ago
PLEASES HELP ME OUT ON THIS
ki77a [65]
The answer is d:11.
3 0
3 years ago
Read 2 more answers
Other questions:
  • kelly has a ribbon that is 60 inches long. she cuts 40% off the ribbon for an art project. while working on the project, she dec
    12·1 answer
  • Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius . One day the high tempe
    14·1 answer
  • Please help I need help
    13·1 answer
  • What is 42-27x5 what is the answer
    11·1 answer
  • Blank divided by 5 equals 7.65
    10·1 answer
  • What is the measure of angle B? How do you know?
    14·1 answer
  • WILL GIVE BRAINLIEST IF BOTH QUESTIONS ARE CORRECT!!!
    10·1 answer
  • Which function is represented by the graph?
    14·1 answer
  • 5x-4y when x=-2 and y=3
    6·1 answer
  • Make like units, and then add. *<br> 1 1/2+2/5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!