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3 years ago

Express the product in simplest form 2/5 of 7/10

Mathematics

2 answers:

Nina [5.8K]3 years ago

5 0

2/5 x 7/10

Can be turned into..

4/10 x 7/10

= 28/20
( simplified to..)

1 2/5 <---- answer

vaieri [72.5K]3 years ago

3 0

$\frac{2}{5}*\frac{7}{10}\\\frac{14}{50}\\\frac{7}{25}$

7/25 or .28

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21 less than a number, multiplied by 4, results in 108.Find the value of the unknown number.

Anni [7]

21 - 4x = 108

Subtract 21 from both sides

-4x = 87

Divide both sides by -4

x = -21.75

6 0

3 years ago

9(2.3n+6)+10.45>43.7

kifflom [539]

Answer:

Step-by-step explanation:

9(2.3n+6)+10.45>43.7

(9*2.3n)+(9*6)+10.45>43.7

20.7n+54+10.45>43.7

20.7n+64.45>43.7

7 0

3 years ago

Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360

Natasha2012 [34]

$\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]$

$\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]$

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

$\rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]$

5 0

3 years ago

When there are 20 sheep, each sheep has 100 square yards of grazing area . How many yards are available for each sheep when ther

ZanzabumX [31]

Answer:

80 square yards

Step-by-step explanation:

so you have to divide 20 into 100 to see how much each sheep gets. Each sheep gets 5 square yards. Then you just multiply how much each sheep gets by 5 and get 80 square yards.

3 0

3 years ago

The length of a rectangle is five times its width.

grandymaker [24]

Answer:

length =30m width=6m

hope it helps

3 0

3 years ago