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
stira [4]
3 years ago
14

Justin is redoing his bathroom floor with tiles measuring 5in. By 14 in. The floor has an area of 8,500 square inches. What is t

he fewest number of tiles he will need? *
Mathematics
1 answer:
ch4aika [34]3 years ago
4 0
<h3>Answer:</h3>

He will need at least 122 tiles

<h3>Step-by-step explanation:</h3>

Get the area of the tiles

5*14= 70 square inches per tile

Divide the floor area by the tile area

8,500/70

121.428571

Round up

122

You might be interested in
What is 82.5 in fraction
Cerrena [4.2K]
<span>165/2 
Hope this helps (:

</span>
3 0
3 years ago
Read 2 more answers
The ordered pairs
Paul [167]

Answer:

Step-by-step explanation:

Slope of the line through (0,3) and (2,5) = (5-3)/(2-0) = 1.

Equation of line: y = x+3

When x=3, y=6

(3,n) = (3,6)

5 0
3 years ago
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
tresset_1 [31]

Because I've gone ahead with trying to parameterize S directly and learned the hard way that the resulting integral is large and annoying to work with, I'll propose a less direct approach.

Rather than compute the surface integral over S straight away, let's close off the hemisphere with the disk D of radius 9 centered at the origin and coincident with the plane y=0. Then by the divergence theorem, since the region S\cup D is closed, we have

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV

where R is the interior of S\cup D. \vec F has divergence

\nabla\cdot\vec F(x,y,z)=\dfrac{\partial(xz)}{\partial x}+\dfrac{\partial(x)}{\partial y}+\dfrac{\partial(y)}{\partial z}=z

so the flux over the closed region is

\displaystyle\iiint_Rz\,\mathrm dV=\int_0^\pi\int_0^\pi\int_0^9\rho^3\cos\varphi\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=0

The total flux over the closed surface is equal to the flux over its component surfaces, so we have

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iint_S\vec F\cdot\mathrm d\vec S+\iint_D\vec F\cdot\mathrm d\vec S=0

\implies\boxed{\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=-\iint_D\vec F\cdot\mathrm d\vec S}

Parameterize D by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec k

with 0\le u\le9 and 0\le v\le2\pi. Take the normal vector to D to be

\vec s_u\times\vec s_v=-u\,\vec\jmath

Then the flux of \vec F across S is

\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^9\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_u\times\vec s_v)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^9(u^2\cos v\sin v\,\vec\imath+u\cos v\,\vec\jmath)\cdot(-u\,\vec\jmath)\,\mathrm du\,\mathrm dv

=\displaystyle-\int_0^{2\pi}\int_0^9u^2\cos v\,\mathrm du\,\mathrm dv=0

\implies\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\boxed{0}

8 0
3 years ago
How many centimeters are in 5.2 inches? [1 inch = 2.5 cm]
Molodets [167]
This would be about 13 cm
6 0
4 years ago
Read 2 more answers
A grid of 100 squares shows 7 shaded squares what decimal number is represented
svp [43]

0.07

Step-by-step explanation:

This is because 7/100 is 7% and as a decimal is 0.07

Make me Brainlist

6 0
3 years ago
Other questions:
  • QUICK NEED HELP!!!!​
    6·1 answer
  • Find the rectangular coordinates of the point with the polar coordinates (8, 3 divided by 2 pi ). (1 point) (0, -8) (0, 8) (8, 0
    12·1 answer
  • Find two ratios equivalent to the ratio in exercise 1
    6·2 answers
  • jason left the city for vacation. Dan left 3 hours later going 87 mph faster to catch up. After 2 hours Dan caught up. What was
    10·1 answer
  • Help pls help NOW! 35 points.
    14·1 answer
  • (20 Points) Which line is a linear model for the data?<br><br> [Image Below]
    11·2 answers
  • How do you do advanced order of operations? Need help on my homework!
    13·1 answer
  • What is the value of x? ​
    14·2 answers
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
    14·2 answers
  • What is the length of AB?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!