Find the Coordinates of the midpoint of the segment whose endpoints are H(8,2) and K(6,10)
1 answer:
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The answer is 114sqrt{6} in³
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in
Answer:
Jessica makes $36 less than Kimmie
Step-by-step explanation:
Let
x -----> amount paid to Jessica
y ----> amount paid to Lauren
z ----> amount paid to Kimmie
we know that
------> equation A
-----> equation B
-----> equation C
substitute equation B and equation C in equation A and solve for y
<em>Find the value of x</em>
<em>Find the value of z</em>
therefore
The amount paid to Jessica was $24
The amount paid to Lauren was $36
The amount paid to Kimmie was $60
To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.
therefore
Jessica makes $36 less than Kimmie