R is inversley propeotional to A When R=12, A=1.5

Answers

Answer 1

The answer is 3.6 and 2 respectively.

What is the proportionality constant?

The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, and even the rate of change.

We have,

R = k / A

where,

k is the proportionality constant

12 = k / 1.5

k = 12 * 1.5

k = 18

now

a) The value of R is?, when A=5.

R = 18 / 5

= 3.6

b) The value of A is? R=9.

A = 18 / 9

= 2

Hence, the answer is 3.6 and 2 respectively.

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Related Questions

a random sample of 784 10-ounce cans of fruit nectar is drawn from among all cans produced in a run. prior experience has shown that the distribution of the contents has a mean of 10 ounces and a standard deviation of .10 ounce. what is the probability that the mean contents of the 784 sample cans is less than 9.995 ounces? a) 0.131 b) 0.081 c) 0.101 d) 0.111 e) 0.121 f) none of the above

Answers

The probability that the mean contents of the 784 sample cans are less than 9.995 ounces is 0.081. The correct option is B

Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. Probability has been introduced in mathematics to determine how likely events are to occur.

Given mean = 10

standard deviation = 0.10

sample = 784

The probability that the 784 sample cans' average contents will be less than 9.995 ounces

P ( X < 9.995 ) = x - μ/ σ / √n

= 9.995-10/0.10/√784

= -0.005 / 0.10 /28

= -1.400

P(Z < -1.400) = 0.081

Therefore the probability that the mean contents of the 784 sample cans are less than 9.995 ounces is 0.081

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NEED HELP FAST
question is in the picture attached

Answers

Answer:

x=12.99

h=7.5

Step-by-step explanation:

we us cosine rule first to look for OB

the triangle OCB is an isosceles triangle whereby angleOCB=120,angleCOB=angleCBO=30

thus length of BC is 15

[tex]cosine \: rule \\ a {}^{2} = b {}^{2} + c {}^{2} - 2bc \cos(a) [/tex]

=(15^2+15^2)-(2×15×15×cos 120)

=450-(-225)

a^2 =675

a=25.98=OB

finding x

x=15sin 60

=12.99

finding h

h=15sin 30

=7.5

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