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NeTakaya
3 years ago
9

GEOMETRY HELP! If you could explain this and help me find the answer that would be amazing! Find the measures of an interior ang

le and an exterior angle of a regular polygon with 6 sides.
Mathematics
1 answer:
givi [52]3 years ago
8 0
Regular polygon can be incribed in a circle of radius equal to its side.

so if you join all the vertices to the centre, you will get 6 equilateral triangles. each interior angle will have 2 angles of 60 each. thus interior angle = 120

exterior angle=180-120=60
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Find sin θ if cot θ = - 4 and cos θ < 0. - 17 square root of seventeen divided by seventeen negative one divided by four squa
Svetradugi [14.3K]

Alright, lets gets started.

We have given two things, cot Θ= - 4 and cos Θ < 0

Means both cot and cos are negative.

So, the quadrant in which Θ lies , is 2nd.

Because in 2nd quadrant, cos and cot both are negative.

Please refer the diagram attached.

Cot Θ = -4 means tan Θ = - 1/4

Means two sides, opposite = 1

adjacent = -4

We could find hypotenuse by using Pythagorean theorem.

Hypotenuse = sqrt (1^2 + -4^2) = sqrt (1+16)

Hypotenuse = √17

sin Θ = opposite / hypotenuse

sin Θ = 1/√17

Multiply and divide with √17

sin Θ = 1/√17 * √17/√17

sin Θ = √17/17 : Answer

Hope it will help :)

3 0
3 years ago
Read 2 more answers
A triangle has a perimeter of 165cm the first side is 65 cm less than twice the second side the third side is 10 cm less than th
katrin2010 [14]

Answer:

The sides of the triangle are:

Second side = 60 cm

First side = 55 cm

Third side = 50 cm

The perimeter equation can be given as:

4s-75=165

Step-by-step explanation:

Given:

Perimeter of triangle = 165 cm

First side = 65 cm less than twice the second side

Third side = 10 cm less than the second side

To find length of each side and write the equation that represents the perimeter of triangle.

Solution:

Let length of second side be = s cm

First side will be given as = (2s-65) cm

Third side will be given as =  (s-10) cm

Perimeter of triangle = Sum of all sides

Thus, perimeter can be given as:

⇒ First\ side+ Second\ side+Third\ side

⇒ 2s-65+s+s-10

Simplifying by combining like terms.

⇒ 4s-75

We know the perimeter of triangle = 165 cm

So, the perimeter equation can be given as:

4s-75=165

Solving for s.

Adding 75 both sides.

4s-75+75=165+75

4s=240

Dividing both sides by 4.

\frac{4s}{4}=\frac{240}{4}

s=60

Thus, the sides of the triangle are:

Second side = 60 cm

First side = 2(60)-65 = 55 cm

Third side = 60-10 = 50 cm

5 0
3 years ago
A circle with a radius of 3cm sits inside a circle with a radius of 11cm.
lozanna [386]

Answer:

Area of shaded region = 351.68 cm²

Step-by-step explanation:

Area of a circle = πr²

where r = radius = 3.14

Area of bigger circle = 3.14 × 11²

= 3.14 × 11 × 11

= 379.94cm²

Area of smaller circle = 3.14 * 3²

= 3.14 × 3 × 3

= 28.26cm²

Area of shaded region = Area of bigger circle - Area of smaller circle

= (379.94 - 28.26) cm²

= 351.68 cm²

8 0
3 years ago
Please help me answer question number 1 ?
anyanavicka [17]

Answer:

8820.26 yd

Explanation:

the formula for finding the area of a circle is π × radius². since the diameter of the circle is given, we can simply divide it by 2 to find the radius.

106 ÷ 2 = 53

now, we can substitute this into the formula:

π × radius²

= 3.14 × 53²

= <u>8820.26 yd</u>

i hope this helps! :D

4 0
3 years ago
Verify if f and g are inverse functions.
Andrej [43]
They are not, because inverse means multiply by -1, therefore, there should be a positive sign in front of 2 and a negative in front of x for G(x) = x - 2
6 0
3 years ago
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