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storchak [24]
3 years ago
14

A straw is placed inside a rectangular box that is 6 inches by 2 inches by 4 inches, as shown. If the straw fits exactly into th

e box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
Mathematics
2 answers:
bezimeni [28]3 years ago
6 0

Answer:

Step-by-step explanation:

Use the Pythagorean theorem twice once to find the diagonal 1 along the bottom of the box  and the to find the diagonal 2 using diagonal 1 and the height of the box  

l² + w² = d1²

d1² + h² = d2²

(l² + w²) + h² = d2²

6² + 2² + 4² = d2²

48 = d2²

d2 = √48

d2 = √(16)(3)

d2 = 4√3

aev [14]3 years ago
3 0

Answer: 7 radical 2

Step-by-step explanation: Delta said it

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A square piece of fabric has an area of (9x2 + 24x + 16) square inches. The length of each side of the fabric is (cx + d) in., w
horrorfan [7]
If the area of the square is 9x^+24x+16, then the side length wouldd be the square root of that. That would be 3x+4. The perimeter would be 4 times that so the perimeter is 4(3x+4) = 12x+16

Hope that helped
7 0
4 years ago
Eliminate the parameter t to find a cartesian equation for x=t^2 y=2+10t
postnew [5]
Hello :
\left \{ {{x= t^{2} }...(1) \atop {y=2+ 10t }...(2)} \right.
by(1) : 
t =  \frac{y-2}{10}
subsct in (2) : 
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3 0
3 years ago
Students in Mrs. Marquez's class are watching a film on the uses of geometry
Oxana [17]

The given information on the diagram of the projector and the image can

be used to prove the congruency of the triangles.

∠ABD, ∠BDA, and side \overline {AD} on ΔABD are congruent to ∠CBD, ∠BDC, and

segment \overline {CD} on ΔCBD, therefore, ΔABD ≅ ΔCBD, by <u>AAS Theorem</u>

Reasons:

The figure of the projector that casts an image on the screen is attached.

The bisector of the line \overline {AC} = \overline {BD}

From the drawing, we have;

∠ABD ≅ ∠CBD by equal number arc mark.

The two column proof is therefore, presented as follows;

Statement {}                                            Reason

\overline {BD} is perpendicular bisector of   {}\overline {AC}   Given

\overline {AD} = \overline {CD}   {}                                             Definition of bisected line \overline {AC}  

∠BDC = 90°       {}                                      \overline {BD} is perpendicular \overline {AC}  

∠BDA = 90°                         {}                    \overline {BD} is perpendicular \overline {AC}  

∠ABD ≅ ∠CBD {}                                       Given on the diagram

ΔABD ≅ ΔCBD  {}                          by Angle-Angle-Side AAS Congruency rule

The Angle-Angle-Side, AAS, Congruency postulate states that two

triangles are congruent where two adjacent angles and a non included side

on one triangle are congruent to the corresponding two adjacent angles

and a non included side on the other triangle.

Learn more here:

brainly.com/question/15274307

8 0
3 years ago
A bad contains two red marbles, six blue marbles and seven green marbles. If two marbles are drawn out of the bag, what is the p
Luba_88 [7]

Answer:

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Step-by-step explanation:

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8 0
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120 barrels will be filled every 5 5/11 days. Some trips will be 5 days apart, some trips will be 6 days apart.
8 0
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