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True [87]
3 years ago
10

A RECTANGULAR PRISM HAS A VOLUME OF 729 FEET . THE LENGTH,WIDTH AND HEIGHT ARE ALL THE SAME. WHAT IS THE LENGTH OF EACH SIDE OF

THE PRISM?
Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0
V=L·W·H
L=W=H
L·W·H=729 ft³
L³=729
L=∛729
L=9 ft

<em>Answer:9 ft</em>
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The number is three digits, the number is even, the tens digit is half the hundreds digit, the sum of the digit is 14 what is th
ser-zykov [4K]

Let x represent the digit in the hundreds place, y represent the digit in the tens place, and z represent the digit in the ones place. What do we know about each digit?

x: twice y (2, 4, 6, or 8)

y: half of x (1, 2, 3, or 4)

z: an even number (0, 2, 4, 6, or 8).

The sume of the digits is 14. So, x + y + z = 14

Choose one of the digits and look at your options (if any).

when x=2, then y = 1, which means z has to be 11 (NOT VALID)

when x=4, then y = 2, which means z has to be 8 (428 works!)

For fun, let's see if any other numbers work:

when x=6, then y = 3, which means z has to be 5 (NOT VALID)

when x=8, then y = 4, which means z has to be 2 (842 works!)

Answer: 428 and 842 both work



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3 years ago
IM IN DESPERATE NEED FOR HELP SOMEONE HURRRRYYY
LenaWriter [7]

Answer:

yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.

Step-by-step explanation:

Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles.  Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.

Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC

Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.

3 0
3 years ago
Doris takes a survey of her class and finds that 2 of the 20 students in class are left-handed.
djyliett [7]
Hey there, Alex!


She would expect 55 of them to be left handed.


Work: 550 / 20 = 27.5

27.5 x 2 = 55


Hope I was able to help!
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Step-by-step explanation:

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