Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
Step-by-step explanation:
y = kx represents a proportional relationship between x and y
where,
k is the constant of proportionality
Given:
d = st
Where,
d = distance
s = speed
t = time
The constant of proportionality of the quantities d, s and t is speed(s)
Speed(s) remains constant at a given time and distance
The equation can be written in different forms below:
d = st
S = d/t
t = d/s
Real world example of proportional relationships
• F=ma
Where,
F=Force
m=mass
a=acceleration
F=ma is used to calculate force
Answer: 
= 
Step-by-step explanation:
let the number be x , then :
six added to twice the sum of a number and four means :
one half of the difference of three and the number means :
combining the two , we have
=
Answer:
257142857143 / 100000000000.
Step-by-step explanation:
2.57142857143
= 2 + 57142857143 / 100,000,000,000
= 200,000,000,000 + 57142857143 / 100,000,000,000
= 257142857143 / 100000000000.
Answer:
2.600 = Exact
2.6 = Base Form
Step-by-step explanation:
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