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shepuryov [24]
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.
Mathematics
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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Use the Associative Property of Addition to find the total of 4, 12, and 18 in two different ways.
Alex Ar [27]
4, 12, and 18 in two different ways

<span>(4 + 12) + 18 = 16 + 18 = 34
 
4 + (12 + 18) = 4 + 30 = 34

answer is B) </span><span>(4 + 12) + 18 = 16 + 18 = 34; 4 + (12 + 18) = 4 + 30 = 34 (second choice)</span>
6 0
3 years ago
Read 2 more answers
A construction worker is tasked with tiling two square rooms, room A and room B. Room B has side lengths that are double the sid
swat32

Answer:

<u><em>4 boxes of tiles.</em></u>

Step-by-step explanation:

Both rooms are square, so each has equal sides.  Let's set a side to room A as x.  It's area would be x^2.  Room B has sides = 2x, so it's area would be (2x)^2 or 4x^2.  The ratio of the areas B/A = 4x^2/x^2.  B/A = 4.

Room B has 4 times the area of A.  If one box of tile completes Room A, Room B would need four times that amount, or 4 boxes.

4 0
2 years ago
Use the net to find the lateral area of the cylinder.
navik [9.2K]
Hi there!

The formula for the lateral area of a cylinder is LA = 2 x pi x r x h. Using this formula, we can plug in the given values and solve for the lateral area.

WORK:
LA = 2pi x r x h
LA = 2pi x 4.5 x 17
LA = 153pi mm^2

The correct answer is the first option - 153pi mm^2

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
7 0
3 years ago
Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south. He is not sure where to point hi
GrogVix [38]

Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south, the heading he should have and the velocity of the broom with respect to the ground are mathematically given as

VR = 20, 699 m/s South

<h3>What is the heading he should have and the velocity of the broom with respect to the ground?</h3>

Divide horizontal and vertical components of Vs and Vw vectors

For Vs

Vs = Vs cos∅ [s] + Vs Sin∅ [w]

Vs = 18 Co58 [s] + 18 sin∅ [w]

For Vw

Vw = Vw Cos 55' [s] + Vw Sin 55 [E]

5.8333 x Cos 55 (s) + 5-8333 Sin 55 [E]

Vw = 3.3458 [s] + 4.7783 [E]

Resultant velocity VR = Vs + Vw

VR= 18 Coso (s) + 18 sine [w] +3.3458 (5) +42783 (E)

VR = (186030 +3.3458) [5] + (18sing - 4.7183)6]

(Harry Potter) flies south

18sin∅ - 4.7783 18=0

Hence

Sin∅ = 4.7783 18/18

∅ =sin{-1}(4.7783 18/18)

∅  = 15.3943

Harry Potter flies in the direction south to ∅ = $15.3943w]

Hence  velocity

VR = (18 cos∅   + 35452) s + 0

VR = (17.3541 +3-3458) s

VR = 20, 69999 m/s South

Read more about Co-ordinate

brainly.com/question/4511664

#SPJ1

3 0
1 year ago
X =x=x, equals <br> ^\circ <br> ∘
kolbaska11 [484]

Answer:

here,

X + 125+35 =180

X=20

Hence the value of X is 20 degree

I think it will help you

3 0
1 year ago
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