All categories

3 years ago

What is the square root of 1.45? Brainliest will be given for the correct answer.

Advanced Placement (AP)

2 answers:

charle [14.2K]3 years ago

4 0

Answer:

√1.45 = 1.2041594578792

Explanation:

Step 1:

Divide the number (1.45) by 2 to get the first guess for the square root .

Step 2:

Divide 1.45 by the previous result. d = 1.45/0.725 = 2.

Average this value (d) with that of step 1: (2 + 0.725)/2 = 1.3625

previous value = 0.725 - 1.3625 = 0.6375.

0.6375 > 0.001

Now we repeat the step

Step 3:

Divide 1.45 by the previous result. d = 1.45/1.3625 = 1.0642201835.

Average this value (d) with that of step 2: (1.0642201835 + 1.3625)/2 = 1.2133600918

Error = new guess - previous value = 1.3625 - 1.2133600918 = 0.1491399082.

0.1491399082 > 0.001.

Step 4:

Divide 1.45 by the previous result. d = 1.45/1.2133600918 = 1.1950285903.

Average this value (d) with that of step 3: (1.1950285903 + 1.2133600918)/2 = 1.2041943411 (new guess).

Error = new guess - previous value = 1.2133600918 - 1.2041943411 = 0.0091657507.

0.0091657507 > 0.001.

Step 5:

Divide 1.45 by the previous result. d = 1.45/1.2041943411 = 1.2041245757.

Average this value (d) with that of step 4: (1.2041245757 + 1.2041943411)/2 = 1.2041594584

- previous value = 1.2041943411 - 1.2041594584 = 0.0000348827.

0.0000348827 <= 0.001. accuracy, we stop the iterations and use 1.2041594584 as the square root.

lana [24]3 years ago

3 0

Answer: √1.45 = 1.2041594578792

Explanation: Step 1:

Divide the number (1.45) by 2 to get the first guess for the square root .

First guess = 1.45/2 = 0.725.

Step 2:

Divide 1.45 by the previous result. d = 1.45/0.725 = 2.

Average this value (d) with that of step 1: (2 + 0.725)/2 = 1.3625.

previous value = 0.725 - 1.3625 = 0.6375.

0.6375 > 0.001. accuracy, we repeat this step again.

Step 3:

Divide 1.45 by the previous result. d = 1.45/1.3625 = 1.0642201835.

Average this value (d) with that of step 2: (1.0642201835 + 1.3625)/2 = 1.2133600918 .

previous value = 1.3625 - 1.2133600918 = 0.1491399082.

0.1491399082 > 0.001. accuracy, we repeat this step again.

Step 4:

Divide 1.45 by the previous result. d = 1.45/1.2133600918 = 1.1950285903.

Average this value (d) with that of step 3: (1.1950285903 + 1.2133600918)/2 = 1.2041943411.

previous value = 1.2133600918 - 1.2041943411 = 0.0091657507.

0.0091657507 > 0.001. accuracy, we repeat this step again.

Step 5:

Divide 1.45 by the previous result. d = 1.45/1.2041943411 = 1.2041245757.

Average this value (d) with that of step 4: (1.2041245757 + 1.2041943411)/2 = 1.2041594584.

previous value = 1.2041943411 - 1.2041594584 = 0.0000348827.

0.0000348827 <= 0.001. accuracy, we stop the iterations and use 1.2041594584 as the square root.

You might be interested in

AP CALC QUESTION!! WILL MARK BRAINLIEST (TWO QUESTIONS)

kodGreya [7K]

1. Using washers, the volume is given by the integral

$\displaystyle\pi\int_1^{e^2}((2+2)^2-(\ln x+2)^2)\,\mathrm dx$

$=\boxed{\displaystyle\pi\int_1^{e^2}(20+4\ln x-(\ln x)^2)\,\mathrm dx}$

We're using washers whose centers depend on the value of $x$ , hence we integrate with respect to

2. The area of the given region is given by the integral

$\displaystyle\int_0^2\sin^{-1}\frac x2\,\mathrm dx$

To compute the integral, first consider the substitution $u=\frac x2$ , or $2u=x$ so that $2\,\mathrm du=\mathrm dx$ . Then $x\to0\implies u\to0$ and $x\to2\implies u\to1$ , so the integral is equivalently

$\displaystyle2\int_0^1\sin^{-1}u\,\mathrm du$

Integrate by parts, taking

$f=\sin^{-1}u\implies\mathrm df=\dfrac{\mathrm du}{\sqrt{1-u^2}}$

$\mathrm dg=\mathrm du\implies g=u$

so that

$\displaystyle2\int_0^1\sin^{-1}u\,\mathrm du=2\left(u\sin^{-1}u\bigg|_0^1-\int_0^1\frac u{\sqrt{1-u^2}}\,\mathrm du\right)$

$\sin^{-1}0=0$ and $\sin^{-1}1=\frac\pi2$ , so the area is

$\displaystyle\pi-2\int_0^1\frac u{\sqrt{1-u^2}}\,\mathrm du$

For the remaining integral, substitute $w=1-u^2$ , so that $\mathrm dw=-2u\,\mathrm du$ . Then $u\to0\implies w\to1$ and $u\to1\implies w\to0$ :

$\displaystyle\pi-\int_0^1\frac{\mathrm dw}{\sqrt w}$

(notice that the integral is improper)

$\displaystyle\pi-\lim_{t\to0^+}2\sqrt w\bigg|_t^1$

$\displaystyle\pi-2\left(1-\lim_{t\to0^+}\sqrt t\right)=\boxed{\pi-2}$

8 0

3 years ago

A dictionary is a type of reference book. Please select the best answer from the Choices true or false

finlep [7]

True a dictionary is a reference book

8 0

3 years ago

Read 2 more answers

When you are driving at night

MakcuM [25]

Answer:

Explanation: i know

4 0

3 years ago

Read 2 more answers

A sweater originally priced at $80 was marked down by 25% what was the sale price of the sweater

elena-s [515]

Answer:

60.00$

Explanation: You would multiply 80* 25% and that will give you twenty. you subtract the 20 from the 80 giving you sixty dollars.

7 0

3 years ago

Read 2 more answers

What is 17/9 as a whole number

Julli [10]

Haha, I used to do IXL all the time. Continuing onto the question, it's asking it in mixed number form..

17/9, how many 9's go into 17? I'd say 1 time, or if we 2 we'd go over.

so 1 times 9 = 9

What's the remainder? 17-9=8

so you've got only one whole 9, and 8 left over

so {{ 1 8/9 }} is the answer

3 0

3 years ago

Read 2 more answers