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3 years ago

11

4 girls and 2 boys are working on an art project they have four square pieces of felt if each person gets an equal share of the

felt how much of a piece of felt will each person get

1 answer:

maksim [4K]3 years ago

5 0

(4 pieces) / (6 kids) = (4/6) (pieces/kids) = 2/3 piece/kid

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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

Andy bought 4 hamburgers snd 2 milkshakes for $13.50. Danny bought 3 hamburgers and 1 milkshake for $9.25. What cost of a hambur

Molodets [167]

A hamburger costs $2.5 and a milkshake costs $1.75

Step-by-step explanation:

Step 1: Form equations from the given details. Let cost of 1 hamburger be H and cost of 1 milkshake be M.

4H + 2M = 13.50 ------ (1)

& 3H + 1M = 9.25 ------ (2)

Step 2: Multiply eq(2) with 2 to make coefficients of M equal.

6H + 2M = 18.50 ------- (3)

Step 3: Subtract eq(3) from eq(1)

⇒ - 2H = - 5

⇒ H = $2.5

Step 4: Substitute value of H in eq(2) to find M.

⇒ 3 × 2.5 + M = 9.25

⇒ 7.5 + M = 9.25

⇒ M = $1.75

4 0

3 years ago

Determine whether y varies directly with x. If so, find the constant of variation k.

musickatia [10]

The answer is the option D because the formula is y upon x

3 0

4 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B60" id="TexFormula1" title="\sqrt{60" alt="\sqrt{60" align="absmiddle" class="latex-

Citrus2011 [14]

Answer:

7 & 8

Step-by-step explanation:

$\sqrt{60}$ = 7.7459666924148337703585307995648

Therefore, it lies between the whole numbers 7 & 8.

Hope this helps :)

3 0

3 years ago

If a circle has a circumference of 103 find the arc inercepted by a central angle of 115

castortr0y [4]

360 divided by 115 = 3.13. Then you divide the 103 by the 3.13 = 32.90

8 0

3 years ago