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slavikrds [6]
3 years ago
12

If a triangle has lengths of 3ft and 54ft, what are all the possible lengths for the third side?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0

Answer:

53, 55

Step-by-step explanation:

by the triangular inequality theorem, in a triangle.. sum of two sides is always greater than the third side.

3+54=57  ... exclude 57 and 58

3+51=54   ... exclude 51

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Give triangle TRY, find TY. Round your answer to the nearest hundredth.
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The length of TY is 2.26.

Solution:

In ΔTRY, θ = 37°, Adjacent side = 3.

To find the length of TY.

Using trigonometry identity,

$\tan\theta=\frac{{opposite}}{{Adjacent}}

$\tan37^\circ=\frac{{TY}}{3}

$3\tan37^\circ=TY

$3\times 0.75355=TY

$TY=2.26065

TY = 2.26

Hence the length of TY is 2.26.

8 0
3 years ago
Solve <br> 1. x2 + x - 6 = 0
ololo11 [35]

Answer:

x = -3        x=2

Step-by-step explanation:

x^2 + x - 6 = 0

Factor

What two numbers multiply to -6 and add to 1

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(x+3) (x-2) = 0

Using the zero product property

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6 0
3 years ago
I've been trying to get an answer for this all day and don't know where to begin what is the answer like I have no clue ​
Shtirlitz [24]

so, we have two 54x18 rectangles, so their perimeter is simply all those units added together, 54+54+54+54+18+18+18+18 = 288.

we know the circle's diameter is 1.5 times the width, well, the width is 18, so the diameter of the circle must be 1.5*18 = 27.

\bf \stackrel{\textit{circumference of a circle}}{C=d\pi }~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=27 \end{cases}\implies C=27\pi \implies C=\stackrel{\pi =3.14}{84.78} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perimeter of the rectangles}}{288}~~~~+~~~~\stackrel{\textit{perimeter of the circle}}{84.78}~~~~=~~~~372.78

6 0
3 years ago
If gas costs $3.19 per gallon, how many whole
sergiy2304 [10]

Answer:

13 gallons

Step-by-step explanation:

42 / 3.19 = 13.166144200626959,

which can be rounded down to 13 whole gallons.

5 0
3 years ago
Read 2 more answers
32 is between which two perfect squares?
katovenus [111]

Answer:

5 * 5 = 25 and 6 * 6 = 36     :)

Step-by-step explanation:

32 is between 5 * 5 = 25

and also between 6 * 6 = 36

those are both perfect squares

i hope this helps

3 0
2 years ago
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