All categories

2 years ago

How many degrees are each angle of a regular 7 sided shape?

Mathematics

1 answer:

Diano4ka-milaya [45]2 years ago

6 0

Answer:

Step-by-step explanation:

Here is a diagram of a seven sided regular polygon. You use this diagram to find out how many degrees total are in the interior of a the heptagon. There are 5 such triangles which means that since each triangle has 180o the total amount of the interior angles must be 5 * 180 = 900

Since there are 7 interior angles, the answer to how large each one of them is is found by

900/7 = 129.57 which is slightly off because it is a rounded error.

In general, the size of the angles in a regular polygon

180(n - 2 ) / n

Where n is the number of degrees in each interior angle. For example for an 8 sided figure you would get

180(8 - 2) / 8 = 180 * 6/8 = 133 degrees.

You might be interested in

(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.

valentinak56 [21]

Find the intersection of the two planes. Do this by solving for z in terms of x and y ; then solve for y in terms of x ; then again for z but only in terms of x.

-4x + 2y - z = 1 ==> z = -4x + 2y - 1

3x - 2y + 2z = 1 ==> z = (1 - 3x + 2y)/2

==> -4x + 2y - 1 = (1 - 3x + 2y)/2

==> -8x + 4y - 2 = 1 - 3x + 2y

==> -5x + 2y = 3

==> y = (3 + 5x)/2

==> z = -4x + 2 (3 + 5x)/2 - 1 = x + 2

So if we take x = t, the line of intersection is parameterized by

r(t) = ⟨t, (3 + 5t )/2, 2 + t⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

(a) The tangent vector to r(t) is parallel to this line, so you can use

v = dr/dt = d/dt ⟨2t, 3 + 5t, 4 + 2t⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in x = -1, y = 1, and z = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

3 0

2 years ago

(3×10 – 4)(2×1010) whats the scientific notion

Rudik [331]

The result of the multiplication in scientific notation is given by:

$6 \times 10^{6}$

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.

For this problem, the numbers are given by:

$3 \times 10^{-4}, 2 \times 10^{10}$

The result of the multiplication is given by:

$3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}$

The result of the multiplication in scientific notation is given by:

$6 \times 10^{6}$

More can be learned about scientific notation at brainly.com/question/16394306

#SPJ1

6 0

1 year ago

Find the area of rectangle PLUM

Cerrena [4.2K]

PL= sqrt(4^2+12^2)=4sqrt(1+9)=4sqrt(10)

Using similarity gives that AM=4/3.

ML=40/3

[PLMU]=40/3 * 4 = 160/3 (53.33)

PM= sqrt(4^2+16/9)=sqrt(160/9)=4sqrt(10)/3

4sqrt(10)*4sqrt(10)/3=160/3 or approximately 53.33

7 0

2 years ago

Mario traced this trapezoid

galina1969 [7]

Answer:

126

Step-by-step explanation:

7x6=42

7x6÷2=42÷2=21

42+21=63

63+63=126

7 0

2 years ago

Read 2 more answers

PLEASEEEEEE HELP Given: △ABC, D∈AC m∠BDC=m∠ABC AD=7, DC=9 Find: BC, BD/BA

Sergio [31]

Answer:

Step-by-step explanation:

Given: △ABC, D∈AC , m∠BDC=m∠ABC , AD=7, DC=9.

Solution: Let BC=x, From the given figure and the given information, it can be seen that △ABC is similar to ΔBDC by AA rule, thus using the proportionality theorem, we get

$\frac{AC}{BC}=\frac{BC}{DC}$