Aslide is 21 ft long. to get to the top of the slide, you use a vertical 9-foot high rung ladder. what is the distance, b, from the bottom of the slide to the bottom of the stairs? round your answer to the nearest tenth.
a. 22.8
b. 19
c. 30
d. 15 user: can the set of lengths be the side lengths of a right triangle? 18 m, 24 m, 30 m
a. yes
b. no

First Answer = 19.0

Second Answer = Yes.

Step-by-step explanation:

Length of Side = 21 ft

Vertical length of ladder = 9 ft.

This formal a Right angled triangle situation.

Distance between bottom of slide and bottom of ladder = b

Using Pythagoras theorem,

b² + 9² = 21²

b² + 81 = 441

b² = 441 - 81

b² = 360

b = √360

b =6√10

b = 18.973666...

b = 19.0 (rounded off to nearest tenth)

Given length of sides of the triangle are 18 m , 24 m and 30 m

30² = 900

18² + 24² = 324 + 576 = 900

Since, 30² = 18² + 24²

Therefore, Given set cab be the length of the sides of the right triangle.

x/3-10=8

x/3=18

x=48

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560