Answer:
The length of the case is 17 inches.
Step-by-step explanation:
A flute case is shaped like a rectangular prism with dimensions:
- height = 5 inches;
- width = 3 inches;
- length = x inches.
The volume of the case is 255 cubic inches.
Use formula for the volume of the rectangular prism:
![\text{Volume}=\text{Width}\times \text{Length}\times \text{Height}](https://tex.z-dn.net/?f=%5Ctext%7BVolume%7D%3D%5Ctext%7BWidth%7D%5Ctimes%20%5Ctext%7BLength%7D%5Ctimes%20%5Ctext%7BHeight%7D)
Thus,
![255=5\cdot x\cdot 3\\ \\255=15x\\ \\x=\dfrac{255}{15}=17](https://tex.z-dn.net/?f=255%3D5%5Ccdot%20x%5Ccdot%203%5C%5C%20%5C%5C255%3D15x%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B255%7D%7B15%7D%3D17)
The length of the case is 17 inches.
X=17 i believe
Hope this helps!!!!
Answer:
d ≈ 14.6 units; M(2.5, 2, 6)
Step-by-step explanation:
The distance formula for 3 dimensions looks a lot like the one for 2 dimensions:
d = √((x2 -x1)^2 +(y2 -y1)^2 +(z2 -z1)^2)
Filling in the given numbers and doing the arithmetic, you find the distance between the points to be ...
d = √((6-(-1))^2 +(-3-7)^2 +(2-10)^2) = √(49+100+64) = √213 ≈ 14.6
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The midpoint is the average of the end points:
M = ((6, -3, 2) +(-1, 7, 10))/2 = (5/2, 2, 6)
Answer:
36 million
Step-by-step explanation:
(4/5)×(45 million) = (4/5×45) million = 36 million
Approximately 36 million people aged 24 to 34 attended movies that year.
Don't have a calculator right now but you wanna divide the 2 numbers that should get you your answer.