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lianna [129]
3 years ago
7

A scale drawing has a scale of 3in:1ft. What is the scale factor?​

Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0

Answer:

1 : 4

Step-by-step explanation:

Remember, your units have to match, so

3 in : 1 ft

doesn't look right, change 1 ft to 12 in.

3 in : 12 in

reduce by 3

1 : 4

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What is 2x + 8y explained
SVEN [57.7K]

Answer:

2x + 8y = 16

Step-by-step explanation:

Subtract 2x from both sides of the equation.

8y = 16 − 2x

Divide each term by 8 and simplify.

3 0
3 years ago
An airplane is flying overhead at a constant elevation of 405 ft. A person is viewing the plane from a position 3040 ft from the
Gnoma [55]

Answer:

δL/δt = 634,38 ft/s

Step-by-step explanation:

A right triangle is shaped by  ( y = distance between aircraft and ground which is constant and equal to  405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f   and the line between the aircraft and the person. Then we can use Pythagoras theorem and write

L ( distance between aircraft and person )

L²  =  x²  +  y²      or    L²  =  x²  + (405)²

Taken partial derivatives with respect to t we get:

2*L*δL/δt    =  2*x*δx/t + 0

Then      L*δL/δt = x*δx/dt

At the moment of the aircraft passing over the tower

x = 3040 ft       δx/δt = 640 ft/s   and L = √ ( 3040)² + (405)²

So   L  = √9241600  + 164025        L = √9405625   L ≈3066,9 ft

Then:

δL/δt = 3040*640/ 3066,9         units   [ ft * ft/s / ft ]   ft/s

δL/δt = 634,38 ft/s

5 0
2 years ago
Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body
nika2105 [10]

Answer:

The  position at time t  is  s(t) = 8t^2 -  14t   -8

Step-by-step explanation:

From the question we are told that

   The acceleration is  a =  16

   The velocity at t = 0  is  v(0) =  -14

    The  position at time t =  0  is s(0) =  -8

Generally acceleration is mathematically represented as

     a(t) =  \frac{d v}{dt }

=>   \frac{dv}{dt}  =  16

=>   dv  =  16 dt

integrating both sides we have    

     \int\limits dv  =  \int\limits16 dt

=>  v(t)  =  16 t  + c

Now at t = 0  

     v(0) =  16 * 0 +c  =  -14

=>  c =  -14

So

   v(t)  =  16 t  -14

Generally the position of the body is mathematically represented as

     s(t) =  \int\limits v(t)dt

So

    s(t) =  \int\limits 16t -  14  dt

So  

    s(t) = 16 \frac{t^2}{2} -  14t  + C

Now  at t =  0

     s(0) = 16 \frac{0^2}{2} -  14(0)  + C =  -8

=>    C =  -8

So

   s(t) = 8t^2 -  14t   -8

5 0
3 years ago
Question Progres
Gnom [1K]
11 + 12 = 33
12/33 x 100 = 36.4%
4 0
2 years ago
Professer Dumbledore bought a new sorting hat. The total cost was $59.92,including the 7% he paid in tax. What was the subtotal?
svetlana [45]

Answer:

$55.73

Step-by-step explanation:

First you would multiply $59.92 and 0.07 together and get 4.1944. Round this and get 4.19. Then you would subtract this from the total price to get 55.73.

3 0
3 years ago
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