Answer:
19.58 unit²
Step-by-step explanation:
To find the area of the shaded region, we use the formula:
As we know that,
= 
=36πunit²
Next is to split up the hexagon into 6 regular triangles.
=6 x 
the base is equal to the radius i.e 6 as the triangles are regular.The height can be represented by taking one of the triangles and drawing a line down the middle.
So, the newly formed triangle is a 30°-60°90° right triangle.
(see figure 1 in attachment)
Here, a= 6/2=> 3
h= a√3 => 3√3
Substituting the required values in the formula of area of hexagon, we get
=> 54√3unit²
=36π-54√3
= 19.58 unit²
Answer:
Probability that a house has a hot tub given that it has a pool is 55%.
Step-by-step explanation:
We are given that in New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub.
Let the probability that houses have a pool = P(A) = 0.38
Also, let B = event that houses have a hot tub
Probability that houses have both a pool and a hot tub = 
= 0.21
Now, the conditional probability that a house has a hot tub given that it has a pool is given by = P(B / A)
<u>As we know that</u>; P(B / A) = 
= 
= 0.553 ≈ 55%
Hence, the probability that a house has a hot tub given that it has a pool is 55%.
Answer:
If 11.85 is an option then its it
Step-by-step explanation:
Answer:
<h2>
The answer is B. $8.82</h2>
Step-by-step explanation:
given data
mints $0.96 per pound
chocolates $4.70 per pound
lollipops $0.07 each
cost of each items based on the amount item
mints $0.96*0.75= 0.72
chocolates $4.70*1.5=7.05
lollipops $0.07*15=1.05
total cost= 0.72+7.05+1.05
total cost=$8.82
Simplify 10^4 to 10000
8.5x10000-3.0x10^3
Simplify 8.5x*10000 to 85000x
85000x-3.0*10^3
Simplify 3.0x10^3 to 3*10^3
Answer 85000x-3*10^3
