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3 years ago

What is the longest line segment that can be drawn in a right rectangular prism that is 12 cm long, 11 cm wide, and 8 cm tall?

Mathematics

2 answers:

masya89 [10]3 years ago

4 0

When I put the right answer it says it’s wrong

AleksAgata [21]3 years ago

4 0

Answer:

The answer is 18.1

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Part A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 6 days, she has to pay a total rent of $510. Writ

kupik [55]

Answer:

Part A) The equation in standard form is $75x-y=60$

Part B) The equation in function notation is $f(x)=75x+60$

Part C) The graph in the attached figure

Step-by-step explanation:

Part A)

Let

x -----> the number of days

y ----> the total rent hat Maria has to pay for renting the coat

we have

(3,285) and (6,510)

Find the slope of the linear equation

$m=(510-285)/(6-3)=75\frac{\$}{day}$

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=75$

$(x1,y1)=(3,285)$

substitute

$y-285=75(x-3)$ ----> equation of the line into slope point form

Find the equation of the line into slope intercept form

$y=mx+b$

$y=75x-225+285$

$y=75x+60$ ----> equation of the line into slope intercept form

Find the equation of the line into standard form

$Ax+By=C$

$y=75x+60$

$75x-y=60$ -----> equation of the line into standard form

Part B) Write the equation obtained in Part A using function notation.

we have

$y=75x+60$

Convert to function notation

Let

f(x)=y

substitute

$f(x)=75x+60$ ---> equation in function notation

Part C) Describe the steps to graph the equation obtained above on the coordinate axes

To graph the linear equation find out the intercepts

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=75(0)+60=60$

The y-intercept is the point (0,60)

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$0=75x+60$

$x=-60/75=-0.8$

The x-intercept is the point (-0.8,0)

To graph the line plot the intercepts ad join the points

see the attached figure

4 0

3 years ago

Help!! This is an algebra2 class

Andre45 [30]

That the answer for that question

3 0

4 years ago

PLEASE HELP its urgent! If answer is right I'll mark as brainliest:)

prohojiy [21]

Answer:

1.24 m

Step-by-step explanation:

F ∝ 1/d²

F = k/d²

Use values given to solve for k

0.006 = k/3²

k = 0.054 (I multiplied both sides by 3² in the equation above)

New equation is F= 0.054/d²

Plug in your numbers so 0.035 = 0.054/d²

0.054/0.035 = d²

You can simplify if you want so d² = 54/35

Square root both sides to solve for d

√54/35 = 1.24 m

3 0

3 years ago

Determine the general solution of: sin 3x - sin x = cos2x

SpyIntel [72]

Sin³ x-sin x=cos ² x

we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:

sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0

sin³x=z

z³+z²-z-1=0

we divide by Ruffini method:
1   1 -1 -1
1 1 2 1 z=1
-------------------------------------
1   2 1 0
-1   -1 -1 z=-1
--------------------------------------
1 1 0 z=-1

Therefore; the solutions are z=-1 and z=1

The solutions are:
if z=-1, then
sin x=-1   ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z

if z=1, then
sin x=1   ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z

π/2 + 2kπ U   π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)

Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....

6 0

3 years ago

A circus juggler on the highwire gives a bowling pin a final toss into the air with an initial velocity of 9 meters per second f

AURORKA [14]

Answer:

2.7

Step-by-step explanation:

yes i'm correct

5 0

3 years ago