D = sqrt(3s^2) where s is the length of the side. Solving for s,
<span>3s^2 = d^2 iff </span>
<span>s^2 = d^2 / 3 iff </span>
<span>s = sqrt(d^2 / 3) </span>
<span>= d / sqrt(3) or d sqrt(3) / 3 </span>
<span>Surface area of the cube = 6 s^2. Thus, </span>
<span>A = 6 (d / sqrt(3))^2 </span>
<span>= 6d^2 / 3 </span>
<span>= 2d^2 </span>
<span>Volume = s^3. Thus, </span>
<span>V = (d / sqrt(3))^3 </span>
<span>= d^3 / 3sqrt(3) </span>
<span>= d^3 sqrt(3) / 9</span>
Answer:
Part a) 
Part b) 
Part c) 
Step-by-step explanation:
Part a) What is the volume of your friend's swimming pool?
we know that
The volume of a rectangular prism is equal to

substitute the values

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?
we know that
The volume of a cylinder is equal to

we have

----> the radius is half the diameter
substitute and solve for h



Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?
remember that

so

Find the volume of water for 

so
the volume of water evaporated is equal to

convert to gallons
remember that

so

Answer:
La respuesta correcta es la opción d) 5 a 1.
Step-by-step explanation:
Para calcular la relación entre los ingresos de Mary en 2019 (
) con respecto a sus ingresos en 2018 (
), partimos de que los ingresos de Mary en 2019 fueron un 20% mayores que sus ingresos en 2018:
Entonces, la relación entre los ingresos de Mary en 2019 es 5 veces los ingresos de Mary en 2018. Por lo tanto, la respuesta correcta es la opción d) 5 a 1.
Espero que te sea de utilidad!
Answer:
Step-by-step explanation:
formula for area of parallelogram
= A=bh
You would make a fraction with circles on the top which would be 76. Then you would add 22 to 76 and get 97 because that is the number of all of the shapes. That would mean your fraction would be 76/97. If u want to simplify that is up to you.