First, all the heights have to be converted to similar units, say feet.

Therefore,
Building= 20 feet
Tree = 252*0.083333 = 21 feet
Flagpole = 6*3 = 18 feet

The tallest of the three is the tree and thus should cast the longest shadow. However, it should be noted that at exactly noon when the sun is overhead, all the three will have equal length of shadow (that is, 0 feet long).

3 0

3 years ago

What is the area of a circle?<br><br> The answer is A=πr2, but I want you to show the work.

Cerrena [4.2K]

Answer:

the area of a circle is A= πr²

4 0

2 years ago

Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be th

sesenic [268]

Answer:

The probability that the dogs are blue eyed and deaf is 13.02%.

Step-by-step explanation:

We are given the following information in the question:

P(Blue eyes) = 31%

P(Deaf) = 38%

P(Deaf | Blue eyes) = 42%

Formula for conditional probability:

$P( A|B) = \displaystyle\frac{P(A \cap B)}{P(B)}$

Now, let A be the event where the dog is deaf and B be the the event where dog is blue eyed.

$P( \text{ Deaf}|\text{Blue eyes}) = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{P(\text{Blue eyes})}\\\\0.42 = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{0.31}\\\\P( \text{Deaf} \cap \text{Blue eyes}) = 0.42\times 0.31 = 0.1302 = 13.02\%$

Hence, the probability that the dogs are blue eyed and deaf is 13.02%.

6 0

3 years ago

Given a line with slope m = -3/2 and a point (5, -6), what's the y-coordinate of the y- intercept?

Svetlanka [38]

Answer:

3/2

Step-by-step explanation:

y = mx + b

-6 = -3/2(5/1) + b

-12/2 = -15/2 + b

b = 3/2

3 0

2 years ago