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2 years ago

Two sides of a triangle are 4 meters and 12 meters long . Which of the following is not a possible length of the third side?

Mathematics

2 answers:

natulia [17]2 years ago

7 0

Answer:

it is D

Step-by-step explanation:

antiseptic1488 [7]2 years ago

5 0

Answer:

A: 8 meters

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Since if we add the side of 4 and 8 it equals to 12, which is not greater than 12, meaning this would be a line if you tried to draw it, leading to the conclusion that A is not possible

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How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

<em><u>The length of arc when angle in radians is:</u></em>

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

4 0

3 years ago

8 balls cost 16 dollars.how much do 32 balls cost

meriva

8 balls = 16
1 ball = 2
32 balls = 64

5 0

4 years ago

HELP QUICK PLEASE I BEG Grace invested $14985 in an account paying an interest rate of 9% compounded

azamat

19030.95
i think
take the og number times the percent then that times three and add it to the original number (sorry if that’s not right that’s just how i would do it)

7 0

3 years ago

Uhh I got this answer wrong my brain wasn’t working so I guessed and picked wet and salty

Dahasolnce [82]

Answer:

dry and hot

Step-by-step explanation:

It looks very similar to a cactus which also lives in this in a dry and hot area

4 0

3 years ago

Read 2 more answers

Plz I need help !!!!!!

Anarel [89]

1) =

2) <

3) RS and AB

4) RS and DC are both parallel

4 0

4 years ago