Answer:
5
Step-by-step explanation:
Calculate the distance between the points using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 5, 0)
d = 
= 
=
=
= 5
← exact value
Answer:
6 and 3 over 4 is greater than -3 and 1 over 4
Step-by-step explanation:
one is negative the other is positive
M/n=p-6
n= m/(p-6)
i swapped the n and p-6
The formula for the radius of a sphere is:
r(s) = sqrt[s/(4pi)]
This is based on the formula that s = 4pi*r^2
As can be seen, as the surface area increases, s/4pi increases, and sqrt(s/4pi) will also increase, meaning that the radius will increase. This continues until the balloon reaches the maximum s = 1500 cm^2.
The correct answer is the first choice:
<span>As the surface area of the balloon increases, the radius of the balloon increases until the maximum surface area is reached.</span>
Answer:
176.39 inches or
14.70 feet
Step-by-step explanation:
Consider the right triangle made by Kristen, ground and shadow.
This triangle has one leg as 64 inches.
Next consider the right triangle formed by street light, ground upto shadow tip.
The two triangles have common angle of elevation and also another angle as 90 degrees.
Hence the two triangles would be similar
Also if A is the angle made by hypotenuse of both triangles with the ground we have

This value also equals by bigger triangle as

From these two we get
h = height of street light =