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2 years ago

10

A pencil box in the shape of a rectangular prism measures 3 inches by 4 inches by 12 inches. What is the length of the longest p

encil that can fit in the box? Explain your answer.

1 answer:

stepan [7]2 years ago

4 0

Answer:

(square root of 160)in

Step-by-step explanation:

the longest 2 sides are 4 and 12

4^2 + 12^2 = c^2

16+144=c^2

160=c^2

c = square root of 160

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I will give brainlest for the right answer. Please don't just make up a random thing. PLEASE!

Alexxx [7]

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$30( \frac{1}{2} x - 2) + 40( \frac{3}{4} y - 4) = \\$

$(30 \times \frac{1}{2} x) -( 30 \times 2 )+ (40 \times \frac{3}{4} y )- (40 \times 4 )= \\$

$15x - 60 + 30y - 160 = \\$

$15x + 30y - 220$

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The correct answer is Option Three .

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2 years ago

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The volume of a cylinder is given by the formula y = ²h, where r is the radius of the cylinder and h is the height.

Anna11 [10]

Option 3 is the best answer

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1 year ago

Approximate the zeros of the function. Round to the nearest tenth if necessary. f(x) = 4x^2 + 4x - 35. Explain each step on how

svet-max [94.6K]

4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
x=-3.5 or x=2.5

I don't see any rounding necessary in this case.

when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2 -5

2 7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.

if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right.

I hope this makes sense to you.

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2 years ago

Perpendicular lines intersect to form right angles.<br><br> always<br> sometimes<br> never

Ymorist [56]

Always- their slopes are always opposite reciprocals of each other

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3 years ago

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Answer this question thanks

9966 [12]

First add 3 to both sides (what you do on one side you must do to the other). Since 3 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the right side and bring it over to the left side.

2 < u - 3

2 + 3 < u - 3 + 3

5 < u - 0

5 < u

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

5 < u OR u > 5

aka 5 is less then u OR u is greater then 5

This means that the graph will have an empty circle and the arrow will go to the right of 5. Look at image below.

Hope this helped!

~Just a girl in love with Shawn Mendes

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2 years ago