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2 years ago

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Mathematics

1 answer:

ycow [4]2 years ago

8 0

Answer:

45 pages in 1 hour

Step-by-step explanation:

Find the unit rate by dividing the number of pages by the number of hours

135/3

= 45

This means he can read 45 pages in 1 hour.

The unit rate is 45 pages in 1 hour.

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Please help me!!! Geometry question.

tigry1 [53]

Answer:

The volume of the figure is $(\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}$

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid

step 1

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

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$h=l\ units$

substitute

$V=\frac{1}{3}\pi (\frac{l\sqrt{2}}{2})^{2}(l)$

$V=\frac{1}{6}\pi (l)^{3}\ units^{3}$

step 2

Find the volume of the square pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base

h is the height of the pyramid

we have

$h=l\ units$

$B=l^{2}\ units^{2}$

substitute

$V=\frac{1}{3}l^{2}(l)$

$V=\frac{1}{3}l^{3}\ units^{3}$

step 3

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Step-by-step explanation:

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2 years ago

find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer be

olasank [31]

Hello,

$u_{1} =4\\
 u_{2} =4*q\\
 u_{3} =4*q^2\\
...\\

 u_{9} =4*q^8\\\\
==\textgreater\ 4*q^8=1024\\
==\textgreater\ q^8=256\\
==\textgreater\ q=2\mbox{( and there is a problem in the question) } \ or \ q=-2\\
if\ q=2 \ then\ \sum_{i=0}^{8}\ 4*(2)^i= 4*\dfrac{1-2^9}{1-2} =2044\\

if \ q=-2 \ then\ \sum_{i=0}^{8}\ 4*(-2)^i= 4*\dfrac{1-(-2)^9}{1+2} =684\\



$

Answer B (but see the problem)

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