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3 years ago

16÷4 what is the quotient expressed as a fraction

Mathematics

1 answer:

Olenka [21]3 years ago

8 0

Answer:

I'm guessing what your asking is this equation or expression in fraction form? If so, then it would be 16/4 which equals 4.

Step-by-step explanation:

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The area of the polygon is 27 mi2. What is the formula that shows the length of side a?

Zigmanuir [339]

Answer:

n = 5

Step-by-step explanation:

Answer: and agenda:

n = 5

a = 3.96148 m

r = 2.72625 m

R = 3.36984 m

A = 27 m^2

P = 19.8074 m

x = 108 °

y = 72 °

_________________________________

where as r = inradius (apothem)

R = circumradius

a = side length

n = number of sides

x = interior angle

y = exterior angle

A = area

P = perimeter

π = pi = 3.14159...

√ = square root

Side Length a

a = 2r tan(π/n) = 2R sin(π/n)

Inradius r

r = (1/2)a cot(π/n) = R cos(π/n)

Circumradius R

R = (1/2) a csc(π/n) = r sec(π/n)

Area A

A = (1/4)na^2 cot(π/n) = nr^2 tan(π/n)

Perimeter P

P = na

Interior Angle x

x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees

Exterior Angle y

y = (2π / n) radians = (360° / n) degrees

polygon interior and exterior angles

6 0

3 years ago

Read 2 more answers

What are vertical angles?

masya89 [10]

Answer:

Vertical angles are:

The opposite angles formed by two intersecting lines. Vertical angles are congruent because the angles have the same measure.

In simpler words:

They have the same measure as one another.

Hope I helped you get the answer to your question!!! ^_^

4 0

3 years ago

Read 2 more answers

Need help with inscribed angles If M

Cloud [144]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and $m\angle BCD=30^\circ$ .

To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

$\angle OBA\cong \angle BCD$ [Alternate interior angles]

$m\angle OBA=m\angle BCD$

$m\angle OBA=30^\circ$

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

The base angles of an isosceles triangle are congruent. So,

$\angle OAB\cong \angle OBA$ [Base angles of an isosceles triangle]

$m\angle OAB=m\angle OBA$

$m\angle OAB=30^\circ$

Using the angle sum property in triangle AOB, we get

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

$60^\circ+m\angle AOB=180^\circ$

$m\angle AOB=180^\circ-60^\circ$

$m\angle AOB=120^\circ$

Hence, the measure of angle AOB is 120 degrees.

4 0

2 years ago

The sum of two numbers is 12<br> and their product is 32.<br> What are the two numbers ?

kumpel [21]

Answer:

8 and 4

Step-by-step explanation:

8 x 4= 32

8+4 = 12

8 0

2 years ago

Vaughn is laying sod in his backyard. A diagram of his backyard is bel ow

Orlov [11]

Answer: $A=944\ ft^2$

Step-by-step explanation:

You need to use the following formula that is used to find the area of a trapezoid:

$A=(\frac{M+m}{2})h$

Where "M"and "m" are the bases of the trapezoid and "h" is the height of the trapezoid.

Based on the information given in the exercise, you can identify that:

$M=c=36\ ft\\\\m=a=23\ ft\\\\h=b=32\ ft$

Knowing these values, you can substitute them into the formula:

$A=(\frac{36\ ft+23\ ft}{2})(32\ ft)$

Finally, you must evaluate in order to find its area. This is:

$A=(\frac{59\ ft}{2})(32\ ft)\\\\A=\frac{1888\ ft^2}{2}\\\\A=944\ ft^2$

7 0

3 years ago