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11Alexandr11 [23.1K]
3 years ago
9

A decorative fish tank is in the shape of a right rectangular prism is shown in the diagram.

Mathematics
1 answer:
aivan3 [116]3 years ago
3 0
The volume of the fish tank is 26 and 1/4m or 26.25m cubed. I got this by multiplying 3.5 x 1.25 and then multiplying what i got by 6 to get the total area. hope i helped!! :) 
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Find the limit. use l'hospital's rule where appropriate. if there is a more elementary method, consider using it. lim x→0 sin(9x
alisha [4.7K]
\displaystyle\lim_{x\to0}\sin9x\csc7x=\lim_{x\to0}\frac{\sin9x}{\sin7x}=\frac97\lim_{x\to0}\frac{7x\sin9x}{9x\sin7x}

Recall that for a\neq0,

\displaystyle\lim_{x\to0}\frac{\sin ax}{ax}=\lim_{x\to0}\frac{ax}{\sin ax}=1

You can separate the two expressions with a=7 and a=9, which both approach 1, so that the limit is \dfrac97.

Alternatively, using L'Hopital's rule,

\displaystyle\lim_{x\to0}\frac{\sin9x}{\sin7x}\stackrel{\mathrm{LHR}}=\lim_{x\to0}\frac{9\cos9x}{7\cos7x}=\dfrac97
7 0
3 years ago
Explain how to use a number line to compare two integers
Alex787 [66]
<span>Smaller numbers are to the left and larger numbers are to the right on  number line. For example numbers 5 and 9! 5 is to the left of 9 so 5 is smaller than 9 or 9 is larger than 5! So graph the number on a number line to see which is greater or smaller! I hope that helps</span><span /><span>
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3 0
4 years ago
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
Shana bought sodas and popcorn for the movies. Sodas cost $3 each and popcorn cost $4 per bag. Shana bought 7 things from the co
erma4kov [3.2K]
Equation : 3s + 4p = $26
Answer : 2 sodas and 5 bags of popcorn.
The equation would be 3s + 4p = $26. 3s is the $3 for every soda and 4p is $4 for every bag of popcorn.
Shana bought 2 sodas and 5 bags of popcorn. 3 x 2 is 6 and 5 x 4 is 20 which would equal $26. They also equal to the 7 things because of the 2 sodas and 5 bags.
6 0
3 years ago
Help please?<br> Thank youu
melomori [17]
The 3rd choice is the right answer here
Hope this helps :)
Have a wonderful day !
3 0
4 years ago
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