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4 years ago

9

In triangle ABC, angle C is a right angle and BC=5. If measure of angle B = 30 degrees, find AC

2 answers:

Nina [5.8K]4 years ago

5 0

Answer = d

using the 30 - 60 - 90 triangle theorem

side across from the angle

across from angle 30 is x
across from angle 60 is x rad. 3
across from 90 is 2x

BC is across from angle 60
so BC is the x rad 3
set the given measurement equal to it

x sqrt 3 = 5
÷ sqrt 3 ÷ sqrt 3
x = (5/ sqrt 3)
multiply top and bottom by the radical to get rid of the radical in the bottom

x = (5/ sqrt 3) × (sqrt 3/sqrt 3)
x = 5 sqrt 3/ 3

since side BC is x
BC = 5 sqrt 3/ 3

* Drawing the triangle diagram would help*

steposvetlana [31]4 years ago

4 0

Answer:

D

Step-by-step explanation:

._.

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Is 144m,165m,219m a right triangle

maw [93]

Answer:

Yes

Step-by-step explanation:

For a triangle to be rights angled.

It should follow Pythagoras theorem.

Pythagoras theorem states that if sides containing right angle is a and b

then is given by

hypotenuse = $\sqrt{a^2+b^2}$

As hypotenuse is always the greatest side

Out of the given sides 144m,165m,219m

219 can only be hypotenuse

Thus side containing right angle will be 144m and 165m .

Lets plug these value in formula of Pythagoras theorem

$hypotenuse = \sqrt{144^2 + 165^2} \\hypotenuse = \sqrt{20,736 + 27,225} \\hypotenuse = \sqrt{47961} \\hypotenuse = 219\\$

As we can see that hypotenuse calculated by us is same as given in problem.

Thus the given triangle is right angled.

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4 years ago

The sum of the measure of the interior angles of a polygon is 1080°.

andrew-mc [135]

The answer is Octagon

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4 years ago

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f)un alpinista esta escalando una montaña de 6500 metros de altura .Si el primer día avanza 2780 metros y al tercer dia llega al

charle [14.2K]

Answer:

Segundo día: 3,720 metros

Step-by-step explanation:

6500 - 2780 (primer dia) = 3,720

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3 years ago

Solve for angle C please

zubka84 [21]

Answer:

13.3 cm

Step-by-step explanation:

We can use the Pythagoream Theorem to identify any missing angles!

$a^{2} +b^2=c^2$

In this case, will leave c for a^2!

$a^2+20^2=24^2$

$a^2+400=576$

$576-400=a^2$

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$\sqrt{176} = 13.3$

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3 years ago

Which shows like terms from the expression? 9 + 5 + 7x2 + 3 x2y + 2x2 3 x2y and 2x2 7x2, 3 x2y, and 2x2 9 and 5 2, 3, 5, and 9

snow_lady [41]

Answer:

9 and 5.

Step-by-step explanation:

So we have the expression:

$9+5+7x^2+3x^2y+2x^2$

In order to combine like terms, the variables must be <em>exactly</em> the same: not one less, not one more.

3x²y and 2x² <em>cannot</em> be combined because the first value has a y.

7x², 3x²y, and 2x² also <em>cannot </em>be combined because the second value has a y.

9 and 5 is the only one that can be combined because they are just integers. They can be added to be 14.

2, 3, 5, and 9 <em>cannot</em> be combined because the 2 and the 3 are tied to the variables as coefficients. They are not constants.

5 0

3 years ago

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