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Artist 52 [7]
3 years ago
15

Multi step equations for 20= x + 1

Mathematics
1 answer:
vekshin13 years ago
5 0

Answer:

x = 19

Step-by-step explanation:

just subtract 1 from both sides of the equation

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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
Find the value of (X)<br> The subject is polygons.
Rudik [331]

Please delete this answer.

3 0
3 years ago
What is 1, 852 in expanded form
OverLord2011 [107]
Expanded form is just each place value split into addition.

so 1,852 is
1000 + 800 + 50 + 2

that's all
5 0
3 years ago
Read 2 more answers
Why is 1 + (−5) equal to −4? (1 point)
Dafna11 [192]

I'm pretty sure it's D

Filler to post

7 0
3 years ago
Read 2 more answers
Find the missing angle or find X?
Sindrei [870]
X = 60°
Because the square in the corner tells you that it is 90° (right angle)
So your equation to solve for x would be...
x + 30 = 90
Now you need to isolate the x.

Subtract both sides by 30.
x + 0 = 90 - 30
x = 60
3 0
3 years ago
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