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3 years ago

A varies inversely as the square of B. If A is 1 when B is 3, find A when B is 5

Mathematics

1 answer:

RideAnS [48]3 years ago

6 0

Answer:

0.36

Step-by-step explanation:

A= K/B^2

K= A × B^2

K= 1 × 3^2

K= 1×9

K= 9

Therefore if B is 5 then A can be calculated as follows.

K= A × B^2

9= A × 5^2

9= A × 25

9= 25A

A= 9/25

A= 0.36

Hence A is 0.36

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Select the correct similarity statement.

Nostrana [21]

Answer:

∆STR ~ ∆RTQ

Step-by-step explanation:

For two fugures to be considered similar, it means the corresponding sides are proportional, and as such, the ratio of their corresponding sides are equal.

However, the corresponding angles of two similar figures are the same and equal.

Taking a look at the figure of the triangle given, ∆STR is a right angle triangle, and it is similar to ∆RTQ as the angle formed at <T in ∆RTQ = 90°.

<T in ∆STR = <T in ∆RTQ.

Therefore, the correct similarity statement is ∆STR ~ ∆RTQ.

The last option is correct.

4 0

3 years ago

At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of reg

emmainna [20.7K]

Answer:

d) 5/12

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Drinks:

Five diet, 10 regular.

Probability of a regular drink:

10/(10+5) = 10/15 = 2/3

Regular bag of chips:

6 fat-free, 10 regular

Probability of a regular bag of chips:

10/(10+6) = 10/16 = 5/8

What is the probability that you will buy a regular drink and a regular bag of chips?

Drink and chips are independent events, which means that we just multiply the probabilities. So

$\frac{2}{3}*\frac{5}{8} = \frac{2*5}{3*8} = \frac{10}{24} = \frac{5}{12}$

The correct answer is given by option d.

6 0

3 years ago

Kathy is standing directly between two tall buildings which are 100 feet apart. Her eye level is 5 feet above the ground. Kathy

Zinaida [17]

Angle of taller building Tan 45° = opposite (height of the building)/ adjacent 50 feet (distance between Kathy and the taller building

Tan 45° = 1

Height of taller building from eye level = multiplying adjacent 50 feet * Angle (Tan 45°) 1 = 50 feet opposite

Angle of smaller building Tan 38° = 0.781

Height of smaller building from eye level = Angle * adjacent 50 feet = 39.06 feet

Difference of eye level from ground is 5 feet

Taller building height is 50 + 5

Total height of taller building is 55 feet.

Smaller building height is 39.06 + 5

Total height of smaller building is 44.06 feet

4 0

4 years ago

Addy’s monthly water bills for last year are $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26. Express the formula for

Sav [38]

Answer:

Σ( xi ) / n ; $29

Step-by-step explanation:

Given the following data:

X= $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26

Number of observations (n) = 12

Mean formula (m) = ( Σ xi ) / n

Where i = each individual value in X

Mean water bill for the years is thus :

m = Σ [(27 + 31 + 30 + 26 + 25 + 27 + 37 + 33 + 32 + 28 + 26 + 26)] / 12

m = 348 / 12

m = 29

Hence, the mean water bill for the year is $29

7 0

3 years ago

Carla has a savings account. In May she had a balance of $100. The activity in her account for the next 3 months is listed. June

Sunny_sXe [5.5K]

Answer:

$51

June -18 ... 82

July +22 ... 104

August -53 ... 51

Step-by-step explanation:

3 0

3 years ago