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3 years ago

DIRECTIONS: Draw a picture to represent each problem. Then, use

1 answer:

4 0

Pythagorean theorem is: a^2+b^2=c^2

1. 10^2+b^2=17^2
So 100+b^2=289
b^2=189
b= $\sqrt{189}$
b=13 3/4
The dimensions are 10 by 13 3/4

2. 5^2+b^2=13^2
So 25+b^2=169
b^2=144
b=12
The ladder reaches 12 feet off the ground

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2. Peter, Jeff, and John, each perform subtraction incorrectly as follows:

grandymaker [24]

Answer:

peter: subtraction mistake at unit place . wrote 6 in place of 9

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

Step-by-step explanation:

we have to subtract 503 from 269

4 10 13

503

-269

____

234

Solution

since 3 is less than 9 , we take a carry from 0 but 0 cannot be carries so we take 1 carry from 5\

thus

5 becomes 4, 0 becomes 10,

now 10 can be give 1 carry to 3 at unit place, so 3 becomes 13

now 9 is subtracted from 13

13-4 = 9

this is the mistake of Peter

he has written 6 at unit place which should be

peter: subtraction mistake at unit place . wrote 6 in place of 9

____________________________________________________

since , 1 is carried from 10 at tens place, 9 is left at tens place

so we know subtract 6 from 9 at tens place

9-6 = 3

Here mistake is done by Jeff

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

________________________________________________

at hundred place,

one is taken from 5 , hence 4 is left at hundred place

we have to subtract 2 from 4

4-2 = 2

hence,

Here, mistake done by both both Peter and jeff

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

4 0

3 years ago

HELP ME PLZ

Marta_Voda [28]

Step-by-step explanation:

1.78 . 1012. 4.55 . 1013

ANS. 1,801.36. ANS. 4,609.15

4609.15 - 1801.36 = 2,80679 kilogram

they are 2,806.79 kilogram aparts

6 0

3 years ago

Divide the binomial by the monomial to find the quotient -36x^4y + 144x^2 y^6/ -4x^2y

elixir [45]

The way that you would do this is by taking $-4x^{2}$ out of the binomial, or as I like to think about it, 'un-distributing'. :p
$-4x^{2}$ out of $-36x^{2}y$ , you end up with $12x^{2}$ .
When you take $-4x^{2}$ out of $144x^{2}y{6}$ , you get $-36y^{5}$ .
Put it together, and the solution is $12x^{2}$ - $36y^{5}$ .

Hope I helped!!

8 0

4 years ago

Read 2 more answers

Compare the surface area-to-volume ratios of the moon and mars. express your answer using two significant figures.

antoniya [11.8K]

we know that

For a spherical planet of radius r, the volume V and the surface area SA is equal to

$V=\frac{4}{3} *\pi *r^{3} \\ \\ SA=4*\pi *r^{2}$

The
ratio of these two quantities may be written as

$SAV =\frac{(4*\pi*r^{2})}{(\frac{4}{3}*\pi*r^{3})} \\ \\ SAV =\frac{3}{r}$

we know

$rMoon=1,738Km\\ rMars=3,397 Km$

$\frac{SAV Moon}{SAV Mars} =\frac{3}{rMoon} *\frac{rMars}{3} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{rMars}{rMoon} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{3,397}{1,738} \\ \\ \frac{SAV Moon}{SAV Mars} =1.9545$