The volume of a rectangular prism is 270 cubic centimeters. The height of the prism is 5 centimeters. What should the length and width of the prism be? Explain your solution strategy.

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Answer 1

Answer: V=volume h=height l=length w=width
V=h•w•l
w•l=v/5
w•l=270/5
w•l=54
Since this is all we know, we can't tell what the width or length really is but we can give examples: 6 and 9 (or 9 and 6), 4 and 13.5 (or the other way round), 18 and 3 (or 3 and 18), 2 and 27 (or 27 and 2).

Answer 2

Answer: 5cm (H), 9cm (L), 6cm (W).

5 times 9 is 45 times by 6 (240 plus 30=) 270 CC

Or You could just have numbers for L and W which equal 54 because 5 times by 54 is 270.

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Solve the equation sin^2 x=3 cos ^2 x

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Answer:

Step-by-step explanation:

Answer:

Explanation:

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$\bf \textit{Pythagorean Identities} \n\n sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \n\n[-0.35em] \rule{34em}{0.25pt}\n\n sin^2(x)=3cos^2(x)\implies sin^2(x)=3[1-sin^2(x)] \implies sin^2(x)=3-3sin^2(x) \n\n\n sin^2(x)+3sin^2(x)=3\implies 4sin^2(x)=3\implies sin^2(x)=\cfrac{3}{4}$

$\bf sin(x)=\pm\sqrt{\cfrac{3}{4}}\implies sin(x)=\pm\cfrac{√(3)}{√(4)}\implies sin(x)=\pm\cfrac{√(3)}{2} \n\n\n sin^(-1)[sin(x)]=sin^(-1)\left( \pm\cfrac{√(3)}{2} \right)\implies x= \begin{cases} (\pi )/(3)\n\n (2\pi )/(3)\n\n (4\pi )/(3)\n\n (5\pi )/(3) \end{cases}$

that is, on the interval [0, 2π].

Another word problem. Please show how you get the answer. A particular number was divided by 5 and then 12 was taken from that quotient. Finally, this difference was multiplied by 5. Given the product was -55, what was the number?

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The number would be 5. 5 divided by 5 equals 1. Then 1-12 would be -11 and then you do -11 times 5 which gives you -55!

What is the more common name for an angle measurer?

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Protractor you should get one at the start of a school year for algebra or normal mathematics.

A protractor is the same thing as an angle measurer, it will measure any angle of pretty much any shape

1.30% of what number is 96?
2. 63 is 15% of what number?

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1. 2.88
2. 420

Please help me back if you can Thanks!

let the no. be x

now, according to question, 30 % of x = 96

= 30/100 by x = 96
30x = 9600
thus, x = 320.

Thus, 30% of 320 is 96.

2) let the no. be y

now, according to question,
15 % of y = 63

= 15/100 x y = 63

15y = 6300

thus, y = 420.

thus, 63 is 15% of 420

How do I solve this?

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You may have to multiply all the numbers together. ^_^ BTW: I tryed all That I could to help, so yeah this would be my try. Lol!

9-2 in fractions simplest form answer

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8/1 =9-2

4 1/2=9/2

Im not sure what u meant but u prob meant the 2nd one

9/2 in simplist form is a mixed number 4 1/2

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2/3x - 2 = 7 solve the equation

Solve and graph, showing your work.Then name the solution set and draw the graph of the solution set. y-4<-7 or y-1>6