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3 years ago

13

Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle? Check all that apply! (/ m

eans sqare root)
A.) 1 : /3
B.)/2 : /2
C.)2/3 : 6
D.)/3 : /3
E.)1 : /2
F.)/2 : /3

1 answer:

Darina [25.2K]3 years ago

7 0

Hypotenuse : leg : leg
= 2 : 1 : sqrt3

So its
A , C

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fenix001 [56]

Answer:

56

Step-by-step explanation:

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3 years ago

Will mark brainliest! Questions are in the picture!

alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

$\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)$

Substituting the respective values,

$\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0$

On using the <u>Quadratic</u><u> formula</u> , we have;

$\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}$

On simplifying above , we will get ,

$\rm\longrightarrow x = 6.802,-9.802$

Since sides can't be negative, therefore,

$\rm\longrightarrow\underline{\underline{ x =6.802}}$

Therefore ,

$\rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\$
$\rm\longrightarrow Height = x +3=6.802+3=9.802\ in$

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

$\rm\longrightarrow h=\sqrt{ b^2+p^2}\\$

$\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\$

$\rm\longrightarrow h =\sqrt{416.40+96.07}\\$

$\rm\longrightarrow h = 22.63\ in$

Now we may find perimeter as ,

$\rm\longrightarrow P = p + b + h \\$

$\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.$

$\\\rm\longrightarrow P = 52.89 \ in.\\$

$\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}$

8 0

3 years ago

If I roll a fair die once, the probability that I will roll a 3 or a 5 is _________.

alexandr1967 [171]

Answer:

2/6 or 1/3

Step-by-step explanation:

join zoom: 982 6380 2701 and 9H92fF

8 0

3 years ago

Find the value of xin the triangle shown below

creativ13 [48]

Answer:

$x=80^{\circ}$

Step-by-step explanation:

<u>Solution 1:</u>

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to $180^{\circ}$ , we set up the following equation:

$x+50+50=180$ .

Solving, we get:

$x+100=80,\\x=\fbox{$80^{\circ}$}$ .

<u>Solution 2:</u>

The Law of Sines states:

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$ , for any triangle.

We can use this to set up a proportion with the information given:

$\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}$ .

Solving, we get:

$x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}$ .

8 0

3 years ago

What is the answer to this 2 + 2 =

pshichka [43]

Heya!!!!

Answer to your question:

2+2=4

Hope it helps *_*

5 0

3 years ago