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Svetlanka [38]
3 years ago
14

How many times does 1 1/4 go into 4 1/8

Mathematics
1 answer:
Vsevolod [243]3 years ago
6 0
(4 1/8) / (1 1/4)
(33/8) / (5/4)
33/8*4/5
132/40
3 12/40
3 3/10

Hope this helps :)
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An automobile travels past the farmhouse at a speed of v = 45 km/h. How fast is the distance between the automobile and the farm
yulyashka [42]

Answer:

\frac{ds}{dt} = 39.586 km/h

Step-by-step explanation:

let distance between farmhouse and road is 2 km

From diagram given

p is the distance between road and past the intersection of highway

By using Pythagoras theorem

s^2 = 2^2 +p^2

differentiate wrt t

we get

\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)

2s \frac{ds}{dt}  =2p \frac{dp}{dt}

\frac{ds}{dt} = \frac{p}{s}\frac{dp}{dt}

\frac{ds}{dt} = \frac{p}{\sqrt{p^2 +4}} \frac{dp}{dt}

putting p = 3.7 km

\frac{ds}{dt} = \frac{3.7}{\sqrt{3.7^2 +4}} 45

\frac{ds}{dt} = 39.586 km/h

3 0
3 years ago
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
andrew-mc [135]

Answer:

f(x):

x =  - 4

g(x)

x = 1

Step-by-step explanation:

When a function is of the form:

f(x) = a {(x - h)}^{2}  + k

The equation of the axis of symmetry is

x = h

The given function is

f(x) = 3 {(x + 4)}^{2}  + 1

We can see that h=-4

Hence the equation of axis of symmetry is

x =  - 4

From the graph, the axis of symmetry of h(x) is the vertical line that divides the parabola into two congruent halves.

This line is

x = 1

4 0
3 years ago
Which of these characteristics does a rhombus have
iren2701 [21]

Answer: opposite sides with equal length

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the slope of the line whose equation is -48 = 2x - 8y?<br> Enter your answer in the box.
aleksandr82 [10.1K]

Answer:

The slope is \frac{2}{8}

Step-by-step explanation:

Take the general equation of a straight line y = mx+c

Here m is the slope of the line.

So let's get the equation of the line in the question in the same form.

-48 = 2x-8y

Add 8y to both sides: 8y - 48 = 2x

Add 48 to both sides: 8y = 2x + 48

Divide by 8 to get it into the general equation: y = \frac{2}{8} x + 6

Now compare it to the general equation to find the value of m. The value of m is the coefficient of x which we can see is \frac{2}{8}

3 0
3 years ago
Factorise = <br> 5m + 20
taurus [48]
So 20=2 itmes m2 times 5

5m=5 times m

so
5m=20
5 times m=2 times 2 times 5
divid eboth sides y 5
m=2 times 2
m=4
8 0
4 years ago
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