Answer:
a. The value of the constant k is 21
b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.
Step-by-step explanation:
a.
<em>A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses.
</em>
The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:
<em>105=k*5
</em>

<em>k=21
</em>
<u><em>So the value of the constant k is 21.</em></u>
b.
<em>As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.</em>
This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".
Answer:
2232.36m
Explanation:
since the perimeter of two semicircles adds up to that of one circle, the perimeter of the track would be the perimeter of the circle + the length of the rectangle.
we can find the perimeter of the circle using the formula of π × diameter, which would be:
π × diameter
= 3.14 × 74
= 232.36
now, we can add this to the given length of the rectangle:
232.36 + 1000 + 1000 = 2232.36
thus, the perimeter of the track is <u>2232.36m</u>.
i hope this helps! :D
Hello your correct answer would be 95.703
Have a great day if it is incorrect tell me in the comments
Answer:
This is a perfect cube.
The side length is 4.
Taking the cube root of the volume will determine the side length.
Step-by-step explanation:
We are told that:
A cube has volume 64 centimeters cubed.
The formula for the volume of a cube = s³
Where s = side length
Hence
64 cm³ = s³
We can find s by finding the cube root of both sides
Hence,
cube root(64) = cube root(s³)
s = 4 cm
Note that 64 is a perfect cube because 4 × 4 × 4 = 4³ = 64 cm³
Therefore, it can be concluded of the cube that:
This is a perfect cube.
The side length is 4.
Taking the cube root of the volume will determine the side length.