Answer: The value of x is 5.970.
Step-by-step explanation:
Given: The square has sides length of X cm.
Let r be the radius of the circle.
The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.
Then diagonal of square = diameter of circle
i.e. 
[Diagonal of square = 
(side)]
i.e. 
area of circle =
i.e. 
Hence, the value of x is 5.970.
<span>N(t) = 16t ; Distance north of spot at time t for the liner.
W(t) = 14(t-1); Distance west of spot at time t for the tanker.
d(t) = sqrt(N(t)^2 + W(t)^2) ; Distance between both ships at time t.
Let's create a function to express the distance north of the spot that the luxury liner is at time t. We will use the value t as representing "the number of hours since 2 p.m." Since the liner was there at exactly 2 p.m. and is traveling 16 kph, the function is
N(t) = 16t
Now let's create the same function for how far west the tanker is from the spot. Since the tanker was there at 3 p.m. (t = 1 by the definition above), the function is slightly more complicated, and is
W(t) = 14(t-1)
The distance between the 2 ships is easy. Just use the pythagorean theorem. So
d(t) = sqrt(N(t)^2 + W(t)^2)
If you want the function for d() to be expanded, just substitute the other functions, so
d(t) = sqrt((16t)^2 + (14(t-1))^2)
d(t) = sqrt(256t^2 + (14t-14)^2)
d(t) = sqrt(256t^2 + (196t^2 - 392t + 196) )
d(t) = sqrt(452t^2 - 392t + 196)</span>
The answer is most likely B. :)
<span>Which of these numbers is irrational?
a. square root of 3
b. 0.25
c. 1/5
d. square root of 9
answer
</span><span>a. square root of 3
</span><span>--------------------------------
What is (-7)^5 in expanded form?
a. -7 • -7 • -7 • -7 • -7
b. -7 • 5
c. (-7) • 7 • (-7) • 7 • (-7) • -7
d. 5 • 5 • 5 • 5 • 5 • 5 • 5
answer
</span><span>a. -7 • -7 • -7 • -7 • -7 </span>
The lower bound is 147.5 and the upper bound is 152.5.
Given the weight of an apple 150 g rounded to the nearest 5g.
We have to find lower bound and upper bound.
Lower bound is an element less than or equal to all the elements in a given set.
Upper bound is an element greater than all the elements in a given set.
Lower bound= Number 1- (Number nearest to which number 1 is rounded)/2
Upper bound=Number 1+(number nearest to which number 1 is rounded)/2
Weight of an apple =150 g
Lower bound=150-5/2
=150-2.5
=147.5
Upper bound=150+5/2
=150+2.5
=152.5
Hence the lower bound is 147.5 and upper bound is 152.5.
Learn more about lower and upper bounds at brainly.com/question/15408313
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