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Alex787 [66]
3 years ago
14

7)If the circumference of a circle is 287, what is theradius of that circle?​

Mathematics
1 answer:
lyudmila [28]3 years ago
7 0

Answer:

287/2π

Step-by-step explanation:

We know that the equation for the circumference is πd, so with πd=287, we can divide both sides by π to get d, the diameter, equal to 287/π. Then, we can divide both sides by 2 to get d/2, or the radius, equivalent to 287/2π

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53 degrees
Because 180 - 90 ( right angle ) - 37 = 53
4 0
2 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
2 years ago
The admission fee at an amusement park is $1.75 for children and $4.80 for adults. On a certain day, 303 people entered the park
Nookie1986 [14]

Answer:

Children 188

Adults. 115

Step-by-step explanation:

Let the no. of children be x and adults be y

x + y = 303

x = 303 - y. .... .....(1)

1.75x + 4.80y = 881. ...........(2)

Substituting,

1.75(303-y) +4.80y = 881

530.25 -1.75y + 4.80y = 881

530.25 + 3.05y = 881

3.05y = 881 - 530.25

y = 350.75 / 3.05 = 115 = adults

Children = 303-115 = 188

3 0
3 years ago
Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?
satela [25.4K]

Answer:

simple

Step-by-step explanation:

-12r+8-2r+2

-14r-10

6 0
2 years ago
The diameter of a circle is 6 cm. About how long is the circumference of the circle?
IgorLugansk [536]

Answer:

The circumference is about 19 centimeters.

Step-by-step explanation:

The formula for finding the circumference of a circle is 2\pi r or simply \pi d.

Now input the values into the formula, keeping in mind that pi is almost 3.14.

\pi *6=18.84

Answer ≈ 19 cm

Hope this helps; have a great day!

5 0
2 years ago
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