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3 years ago

Simplify 14 to the 15th power over 14 to the 5th power.

Mathematics

1 answer:

cluponka [151]3 years ago

6 0

14^15/14^5=14^(15-5)=14^10

Hope this kinda helps !!

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Use the NET as an aid to compute the surface area.

MrRa [10]

I don’t know but if I did I’m sur it would be helpful sorry though

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2 years ago

A disk with radius 3 units is inscribed in a regular hexagon. Find the approximate area of the inscribed disk using the regular

Oksi-84 [34.3K]

Answer:

The approximate are of the inscribed disk using the regular hexagon is $A=18\sqrt{3}\ units^2$

Step-by-step explanation:

we know that

we can divide the regular hexagon into 6 identical equilateral triangles

see the attached figure to better understand the problem

The approximate area of the circle is approximately the area of the six equilateral triangles

Remember that

In an equilateral triangle the interior measurement of each angle is 60 degrees

We take one triangle OAB, with O as the centre of the hexagon or circle, and AB as one side of the regular hexagon

Let

M ----> the mid-point of AB

OM ----> the perpendicular bisector of AB

x ----> the measure of angle AOM

$m\angle AOM =30^o$

In the right triangle OAM

$tan(30^o)=\frac{(a/2)}{r}=\frac{a}{2r}\\\\tan(30^o)=\frac{\sqrt{3}}{3}$

$\frac{a}{2r}=\frac{\sqrt{3}}{3}$

we have

$r=3\ units$

substitute

$\frac{a}{2(3)}=\frac{\sqrt{3}}{3}\\\\a=2\sqrt{3}\ units$

Find the area of six equilateral triangles

$A=6[\frac{1}{2}(r)(a)]$

simplify

$A=3(r)(a)$

we have

$r=3\ units\\a=2\sqrt{3}\ units$

substitute

$A=3(3)(2\sqrt{3})\\A=18\sqrt{3}\ units^2$

Therefore

The approximate are of the inscribed disk using the regular hexagon is $A=18\sqrt{3}\ units^2$

6 0

3 years ago

What is the length of a rectangle with width 10 inches and area 45 inches^2? Use 3.14

gogolik [260]

Why would we need 3.14 as pi? The answer is 45/10 = 4.5 inches.

4 0

3 years ago

A student graphs three or the four vertices of square ABCD. Which point could be the fourth vertex of the square

castortr0y [4]

(0,3) is the next point for the square which is vertically above point A

6 0

2 years ago

Read 2 more answers

Juan y Andrés son adultos mayores y maratonistas. Hoy participaron en la maratón internacional de los Andes.El locutor que cubre

Ira Lisetskai [31]

Answer:

3 hours 8 seconds

Step-by-step explanation:

Juan and Andrés are older adults and marathoners. Today they participated in the international marathon of the Andes. The announcer who covers this sporting event reported that Juan had finished the race with a time of 3¾ hours. Tijuanito the route in ⅔ of hours more than Andrés, how long did Andrés finish the marathon ?.

It is given that,

Juan had finished the race with a time of 3¾ hours.

He takes ⅔ of hours more than Andrés.

We need to find how long did Andrés finish the marathon.

Time taken by Juan = $\dfrac{15}{4}$ hours

Time taken by Tijuanito is $\dfrac{2}{3}$ hours more than Andrés.

So, Andrés finish the marathon $\dfrac{15}{4}-\dfrac{2}{3}=3.08\ \text{hours}$ before.

5 0

2 years ago