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iren [92.7K]
3 years ago
10

In the triangle below, what is the length of the side opposite the 30 degree angle

Mathematics
1 answer:
victus00 [196]3 years ago
6 0

Answer:

The correct answer is option A. √3

Step-by-step explanation:

From the figure we can see that aright angled triangle.

Points to remember

If a right angled triangle with angle 30°, 60° and 90° then the sides are in the ratio, 1 : √3 : 2

<u>To find the length of side opposite to 30°</u>

Let 'x' be the side opposite to the 30°, the we can write,

x : 3 : Hypotenuse = 1 : √3 : 2

Therefore x = 3/√3 = √3

The length of side opposite to the 30° is √3

The correct answer is option A. √3

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irga5000 [103]

Answer:

3\neq -3

False

Step-by-step explanation:

y=3x-9\\\\x-\frac{1}{3}y=-3

You substitute y for the second equation.

x-\frac{1}{3} y=-3\\\\x-\frac{1}{3}(3x-9)=-3

Then you have to distribute -\frac{1}{3} .

x-x+3=-3

Combine like terms.

3\neq -3

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faltersainse [42]

Answer:

4/3

Step-by-step explanation:

Given two points, we can find the slope by using

m = (y2-y1)/(x2-x1)

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3 years ago
How many 0.5cm x 0.5 cm x 0.5cm cubes are needed to completely fill the rectangular prism measuring 4 cm x 3 cm x 3cm?mp
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Step-by-step explanation:

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I hope this helped.

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Question 1 options:<br><br> 3<br><br><br> 8<br><br><br> 12<br><br><br> 2.5
rewona [7]

Answer:

2.5

Step-by-step explanation:

(I'm assuming you're doing this the same way I learned it, if not I'm sorry if it doesn't make sense)

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12x=30

Divide

x=2.5

This is just one way to do the problem. An easier way is to simplify the fractions.

\frac{2}{x}=\frac{4}{5}

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5 0
2 years ago
Please help with p and q<br> maths geometry
baherus [9]

Step-by-step explanation:

p)

in a very similar way, as the sum of all 4 angles in a triangle is always 180°, so is the sum of all angles in a quadrilateral (a polygon with 4 sides) 360°.

just look at rectangles at special representatives of such quadrilaterals.

now that we know this, we can simply say, the sum of all angles in our shape must be 360° :

(8x + 2) + (4x + 2) + (x - 2) + (5x -2) =

= 18x = 360

x = 20

A = 8×20 + 2 = 162°

B = 4×20 + 2 = 82°

C = 5×20 - 2 = 98°

D = 20 - 2 = 18°

a trapezium has the following properties (in the UK):

like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360°.

a trapezium has two parallel sides and two non-parallel sides.

the diagonals of a regular trapezium bisect each other.

in the USA for example the request for 2 parallel sides does not exist.

we have proven the point with the angle sum.

the other 2 are given by the diagram.

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q)

the sum of all interior angles of a polygon is

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n being the number of d sides.

we have here a regular pentagon (5 equal sides).

the size of the angle at any vertex is then

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so, theta = 108°.

alpha + beta = 108°

ABE is an isoceles triangle.

so, beta = angle 1

beta + angle 1 + theta = 180

2×beta + 108 = 180

2×beta = 72

beta = 36°

therefore,

alpha = 108 - beta = 108 - 36 = 72°

4 0
1 year ago
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