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3 years ago

What is the answer to this problem?

Mathematics

1 answer:

leonid [27]3 years ago

5 0

Answer:

$\frac{7}{9}$

Step-by-step explanation:

If you add a number that is negative, you are basically subtracting it.

This means that

$\frac{8}{9}+\left(-\frac{1}{9}\right)=\frac{8}{9}-\frac{1}{9}$

Since they both have the same denominator, you can easily subtract the fractions: $\frac{8-1}{9}=\frac{7}{9}$

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The equation for the speed/distance

asambeis [7]

Step-by-step explanation:

S = 93 log (d) + 65; S = wind speed; d = distance traveled by tornado

A) tornado travels 130 miles = d; find S

S = 93 log10(130) + 65

S = 261.6 mph rounds up to 262 mph

7 0

3 years ago

Read 2 more answers

Given that MTW = CAD, which segments are corresponding parts of the congruent triangles?

VikaD [51]

Answer: MW = CD

Explanation: It would be this way because if you wrote the triangles out, MW would be in the same place as CD, making them corresponding.

6 0

3 years ago

It took a car 6 hours to cover the distance between points A and B with the speed of 50 mph. How long will it take a bus to cove

Leno4ka [110]

Answer:

7hours and 30 minutes

Step-by-step explanation:

given a car travels with a speed of 50 miles -------->1hour

x miles -------->6hours

on cross multiplying we get the value of 'x'

x = 50×6 = 300

x=300miles

Now ,

40mls------->1h

300mls------->xh

x= 300/40

x=(3/4)×10

x= 7.5hours

x= 7½hours

6 0

3 years ago

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 sum of the arithmetic sequence. -1, 2, 5, 8, 11, 14, 17

muminat

56 is you answer you need.

8 0

3 years ago