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ra1l [238]
3 years ago
5

A jar of pickles has a circumference of 13.973 cm. What is the approximate diameter of the jar?

Mathematics
2 answers:
anygoal [31]3 years ago
5 0
C. 4.45 cm. you take the circumference and divide it by pi to find the diameter
Gnoma [55]3 years ago
3 0

c  = d \times \pi \\ c = 13.973 \\ d =  \frac{13.973}{3.14}  \\ d = 4.45
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For the spinner above, the probability of landing on black is 1/2, and the probability of landing on red is 1/3. Suppose it is s
8_murik_8 [283]

Answer:

1/8

Step-by-step explanation:

P = 1/2 × 1/2 × 1/2

P = 1/8

7 0
3 years ago
Solve the equation<br> 5.4/12 = z/8
saul85 [17]

Answer:

18/5

Step-by-step explanation:

5.4/12 = 1/8 is equivalent to (5.4)(1/12) = (z/8), or

                                              (54/10)(1/12) = z/8.

The LCD is (10)(8)(12), or 120.

Mult. both sides by 120 yields 54 = 15z.

Dividing both sides by 15, we get z = 54/15 = 18/5 = z

6 0
3 years ago
Express the equation in rectangular form<br> a) r = 2sin(2Θ)<br> b) r = 4cos(3Θ)
Dafna11 [192]

Answer:

a.  sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b.  (x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

Step-by-step explanation:

a) r = 2sin(2Θ)

r* = 2 sin 2 theta

We know  sin 2theta = 2 sin theta cos theta

r = 2 * 2 sin theta cos theta

sin theta = y/r  and cos theta = x/r

r = 4 y/r * x/r

r = 4xy / r^2

Multiply each side by r^2

r^3 = 4xy

r * r^2 = 4xy

We know r = sqrt(x^2+y^2)  and r^2 = (x^2+y^2)

sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b) r = 4cos(3Θ)

we know that cos 3 theta = cos^3(theta) - 3 sin^2(theta) cos(theta)

r = 4 *cos^3(theta) - 3 sin^2(theta) cos(theta)

Factor out a cos theta

r = 4 *cos(theta){ cos^2 (theta) - 3 sin^2(theta) }

We know that  sin theta = y/r  and cos theta = x/r

r = 4 (x/r) { (x/r)^2 - 3 (y/r)^2}

r = 4 *(x/r) { (x^2/r^2 - 3 y^2/r^2}

Multiply by r

r^2 = 4x { (x^2/r^2 - 3 y^2/r^2}

Multiply by r^2

r^2 *r^2 = 4x { (x^2 - 3 y^2}

r^4 = 4x{ (x^2 - 3 y^2}

We know  r^2 = (x^2+y^2)

(x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

5 0
3 years ago
Twenty divided by 60
frutty [35]

Answer:

1/3

Step-by-step explanation:

8 0
2 years ago
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Part A: If (2^6)^x = 1, what is the value of x? Explain your answer.
kondaur [170]

Answer:

A. x=0

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Step-by-step explanation:

A.   (2⁶)ˣ = 1

2⁶ˣ = 1

6x = 0

x = 0

B. (5⁰)ˣ =(1)ˣ = 1

x = 1

5 0
2 years ago
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