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DENIUS [597]
3 years ago
13

The graph below shows a proportional relationship between yyy and xxx.

Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0

Answer:

k = 40

Step-by-step explanation:

Given

The attached graph

Required

Calculate the constant of proportionality.

Represent the required constant with k.

Such that:

k = \dfrac{y}{x}

Pick any two corresponding values of x and y

(x,y) = (1,40)

This means that:

x = 1\ and\ y = 40

k = \dfrac{y}{x} becomes

k = \frac{40}{1}

k = 40

sashaice [31]3 years ago
8 0

Answer:

3.5

Step-by-step explanation:

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What is the area of this shape?
Akimi4 [234]

Answer:

144

Step-by-step explanation:

The shape is a trapezoid.

Add 6 and 112, which is eighteen

divide eighteen by 2, which is 9

Finally, multiply 9 and sixteen which is 144

4 0
2 years ago
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Five fourths of a right angle
Lelechka [254]
Five fourths of a right angle

A right angle is 90 degrees.

Five fourths is \sf \frac{5}{4}

Five fourths OF A right triangle

\sf \frac{5}{4} OF 90 degrees

Of means multiplication so:

\sf \frac{5}{4}\times 90

And that equals to 112.5

So your final answer is

\boxed{\bf{112.5~degrees}}
4 0
3 years ago
In the given figure, O is the centre of the circle with chords AP and BP being
Ainat [17]

Answer:

It's 70°

Step-by-step explanation:

∠APB = ∠RPQ = 35°

Now, ∠AOB and ∠APB are angles subtended by an arc AB at centre and at the remaining part of the circle .

∴∠AOB = 2∠APB = 2 × 35° = 70°

5 0
3 years ago
Given the equation -5x+2y=-10 what is the equation of the line perpendicular to the line?
meriva

Answer:

The equation of the perpendicular line would be y = -2/5x - 1

Step-by-step explanation:

In order to find this line, we must first find the slope of the original line. We do this by solving for y.

-5x + 2y = -10

2y = 5x - 10

y = 5/2x - 5

This shows us a slope of 5/2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 5/2 to get -5/2 and then we flip it to get -2/5. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 1 = -2/5(x + 5)

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y = -2/5x - 1

4 0
3 years ago
Question IS in PICTURE!!!!
julia-pushkina [17]
IQR= Q3-Q1

Airport 1
Q3 is 8
Q1 is 2

8-2= 6

Airport 1 IQR is 6

Airport 2
Q3 is 8
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Airport 2 IQR Is 5
8 0
3 years ago
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