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3 years ago

NEED ASAP GIVING 20 POINTS.

Mathematics

1 answer:

vesna_86 [32]3 years ago

5 0

Answer:

Step-by-step explanation:

These are linear equations (y=mx+b). Your slope or m for both equations is 5 and linear equations with the same slope are parallel. Which means they will never cross so they will never have the same amount of tiles.

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The measurenicnt of the circumference of a circle is found to be 56 centimeters. The possible error in measuring the circumferen

BartSMP [9]

Answer:

(a) Approximate the percent error in computing the area of the circle: 4.5%

(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 3%: 0.6 cm

Step-by-step explanation:

(a)

First we need to calculate the radius from the circumference:

$c=2\pi r\\r=\frac{c}{2\pi } \\c=8.9 cm$

I leave only one decimal as we need to keep significative figures

Now we proceed to calculate the error for the radius:

$\Delta r=\frac{dt}{dc} \Delta c\\\\\frac{dt}{dc} = \frac{1}{2 \pi } \\\\\Delta r=\frac{1}{2 \pi } (1.2)\\\\\Delta r= 0.2 cm$

$r = 8.9 \pm 0.2 cm$

Again only one decimal because the significative figures

Now that we have the radius, we can calculate the area and the error:

$A=\pi r^{2}\\A=249 cm^{2}$

Then we calculate the error:

$\Delta A= (\frac{dA}{dr} ) \Delta r\\\\\Delta A= 2\pi r \Delta r\\\\\Delta A= 11.2 cm^{2}$

$A=249 \pm 11.2 cm^{2}$

Now we proceed to calculate the percent error:

$\%e =\frac{\Delta A}{A} *100\\\\\%e =\frac{11.2}{249} *100\\\\\%e =4.5\%$

(b)

With the previous values and equations, now we set our error in 3%, so we just go back changing the values:

$\%e =\frac{\Delta A}{A} *100\\\\3\%=\frac{\Delta A}{249} *100\\\\\Delta A =7.5 cm^{2}$

Now we calculate the error for the radius:

$\Delta r= \frac{\Delta A}{2 \pi r}\\\\\Delta r= \frac{7.5}{2 \pi 8.9}\\\\\Delta r= 0.1 cm$

Now we proceed with the error for the circumference:

$\Delta c= \frac{\Delta r}{\frac{1}{2\pi }} = 2\pi \Delta r\\\\\Delta c= 2\pi 0.1\\\\\Delta c= 0.6 cm$

5 0

3 years ago

Someone Help me please

OLEGan [10]

Answer:

-1/2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Round each number to the place of the underlined digit the 4 is underlined in 324,650

dolphi86 [110]

Answer:325,000

Step-by-step explanation:

4 gets rounded up to 5 because of the 6 next to it.

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2 years ago

Two coins are knocked off a table at the same time by different forces. which coin will hit the ground first?

Anastasy [175]

They will land at the same time

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Sarah starts with $375 in her savings account. After getting a part-time job, she deposits $90 every week. Write an equation sho

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Answer:

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