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Ivahew [28]
3 years ago
13

1/4 of a pipe is white , 1/2 part of the remaining is blue. If the remaining part is black and the length of this black part is

5 1/4cm, find the length of the pipe.
Mathematics
1 answer:
hram777 [196]3 years ago
5 0

Answer: 14 cm

Step-by-step explanation:

First take out 1/4 of the pipe, the portion that is white.  Then, half of three quarters of the pipe is blue.  1/2 of 3/4 is 3/8.  3/8(blue) + 2/8(white) = 5/8.  Thus, 3/8 of the pipe is black.  Thus, take 5.25(The length of the black portion) and multiply it by 8/3(reciprocal of 3/8) to get 14.

Hope it helps <3

(If it does, please give brainliest, only need 1 more for rank up :) )

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Gemiola [76]
To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder: V= \pi r^2h
where
V is the volume 
r is the radius 
h is the height 

We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words: V=500cm^3. We also know that the radius is r cm and height is h cm, so r=rcm and h=hcm. Lets replace the values in our formula:
V= \pi r^2h
500cm^3= \pi (rcm^2)(hcm)
500cm^3=h \pi r^2cm^3
h= \frac{500cm^3}{ \pi r^2cm^3}
h= \frac{500}{ \pi r^2}

Next, we are going to use the formula for the area of a cylinder: A=2 \pi rh+2 \pi r^2
where
A is the area 
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We know from our previous calculation that h= \frac{500}{ \pi r^2}, so lets replace that value in our area formula:
A=2 \pi rh+2 \pi r^2
A=2 \pi r(\frac{500}{ \pi r^2})+2 \pi r^2
A= \frac{1000}{r} +2 \pi r^2
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7 0
3 years ago
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tigry1 [53]

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  y = (5/4)2^x

Step-by-step explanation:

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  y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference

This can be simplified to ...

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6 0
3 years ago
Let M be the set of all nxn matrices. Define a relation on won M by A B there exists an invertible matrix P such that A = P BP S
Sophie [7]

Answer:

Recall that a relation is an <em>equivalence relation</em> if and only if is symmetric, reflexive and transitive. In order to simplify the notation we will use A↔B when A is in relation with B.

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A=R^{-1}CR. Hence, A↔C.

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4 0
3 years ago
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aleksandrvk [35]

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6 0
3 years ago
This one too plss!!!
goblinko [34]
3.10
I think, Im very sorry if this is wrong!
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