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3 years ago

Find the area of the shaded region. (Plz show work)

Mathematics

1 answer:

Kamila [148]3 years ago

8 0

Answer:

Area of shaded region ≈ 192.42

Step-by-step explanation:

21/2 = radius

radius = 10.5 m

A = πr squared

Area of shaded region≈346.36

10.5 - 3.5 = 7

Area of unshaded region ≈ 153.94

346.36 - 153.94 = 192.42

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In training, Kayden does

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0.065 metric tons

Step-by-step explanation:

<u>Given</u>

65 kg

Convert 65 kg to metric tons

Then, the answer is 0.065 metric tons

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3 years ago

Which interval contains the most data values?

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170-179 because there is a higher number interval

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Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 5 units above R to

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Enter a positive value for k that makes this statement true 20 times k is less than 20 but greater than o

leonid [27]

Answer:

Step-by-step explanation:

If we're asked to use any positive value. It means we could have a wide variety of answer. A positive value of k that makes the equation 20k to be less than 20, yet greater than zero has to be any decimal value or a fraction, if you so wish.

As an example, if k is 0.5. Then we have

20k = 20 * 0.5 = 10, which is less than 20 and greater than zero

Again, if k is 0.9. Then we have

20k = 20 * 0.9 = 18, which is less than 20 and greater than zero.

So, you use any decimal number greater than 0, yet less than 1

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3 years ago

Please help 100 points and brainlest for all the answers

masha68 [24]

Answer:

See explanation

Step-by-step explanation:

Q1. The graph of given data is attached.

The relationship is directly proportional as the line connecting all points is straight line passing through the origin.

For every 1 unit change in x, the change of y is 16.

Therefore, the equation that represents this line is

$y=16x$

If $x=10,$ then $y=16\cdot 10=160$ square feet.

Q2. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin (see second attached graph).

For every 1 unit change in x, the change of y is 0.45.

Therefore, the equation of the line is

$y=0.45x$

Q3. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

Find the constant of proportionality:

If x = 2, y = 25, then

when x = 1, y = 12.5

so k = 12.5

and the equation of the line is

$y=12.5x$

When $x=14,$ then $y=12.5\cdot 14=175$

Hence, the cost of 14 tickets is $175

Q4. This table does not show the direct variation because

if x = 500 and y = 40, then

for x = 100, y is $40\div 5=8$

and for x = 700, y must be $7\cdot 8=56$ not 50.

Hence, this relationship does not show the direct proportionality between x and y.

Q5. This elationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

The constant of proportionality is $k=1.75$

The equation of proportionality is $y=1.75x$

When $y=28,$ then

$28=1.75x\\ \\x=\dfrac{28}{1.75}\\ \\x=16$

This means for $28 you could buy 16 ice cream scoops.

Q6. The line passes through the point (2,61), so the constant of proportionality is

$k=\dfrac{61}{2}=30.5$

The equation of proportional relationship is

$y=30.5x$

When $y=274.50,$ then

$274.50=30.5x\\ \\x=\dfrac{274.5}{30.5}\\ \\x=9$

This means you could buy 9 tickets for $274.50

Q7. The equation which represent proportional relationship should have the equation of the form

$y=kx$

Circle all equations in this form:

$y=5x\\ \\p=0.5m\\ \\y=\dfrac{1}{2}x\\ \\M=3n\\ \\y=2x$

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This means that the graph of direct variation is always a straight line passing through the origin (because x = 0 and y = 0 satisfy the equation for all k).

Not all lines represent the proportional relationship. Only those, which pass through the origin.

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