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sammy [17]
2 years ago
8

The scale on a map says that 3 cm represents 12 km what is the actual number of km represented by 5 cm on the map

Mathematics
1 answer:
irga5000 [103]2 years ago
6 0

2.4 please follow mee i think this is answer

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The perimeter of a rectangle is 46 cm,<br> The length is 13 cm. What is the width?
Firlakuza [10]

Answer:

10 cm

Step-by-step explanation:

we know that the perimeter of a rectangle= 2(l+w)

given that the perimeter is 46 cm and length is 13 cm, so by putting the values we get,

2(13+w)=46

= 26+2w=46 (opening the brackets)

= 2w= 46-26

= 2w=20

= w=20/2

w= 10 cm

Cheers.

7 0
3 years ago
Complete the square to re-write the quadratic function in vertex form:<br> y = x2+ 10x - 2
Blababa [14]

Answer:

<h3>             \bold{y=(x+5)^2-27}</h3>

Step-by-step explanation:

                                      y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27

8 0
3 years ago
A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0
3 years ago
Determine the x-intercept of the line whose equation is given:
Rudiy27

Answer:

Green

Step-by-step explanation:

cause blue and red make orange :)

8 0
3 years ago
Read 2 more answers
When did the nfl start
Radda [10]
The NFL started August 20, 1920
4 0
3 years ago
Read 2 more answers
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