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2 years ago

A polyhedron can be either a pyramid or a?

Mathematics

2 answers:

BlackZzzverrR [31]2 years ago

7 0

A cube can be a Polyhedron
hope that helps

Talja [164]2 years ago

6 0

It can be a Triangular prism or a dodecahedron.
A polyhedron is a solid with flat faces. Each face is a polygon. :)

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Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

8 0

2 years ago

5. Maria is tracking the number of miles she runs in one week. She is using the track at her

777dan777 [17]

Answer:

0.00310 miles

Step-by-step explanation:

Maria runs 5 m each week. We need to find how miles she run. It means we need to convert meters to miles. The relation between meter and yards is as follows :

1 meter = 1.09361 yards

Also, 1 mile = 1760 yards

It means,

1 mile = 1609.34 m

1 m = (1/1609.34) miles

$5\ m=\dfrac{5}{1609.34}\ \text{miles}\\\\=0.00310\ \text{miles}$

So, she will cover 0.00310 miles.

6 0

2 years ago

Creat a table of values for the equation y=-x-3

nadya68 [22]

Answer:

x /\ y

1 /\ -4

2 /\ -5

3 /\ -6

4 /\ -7

... /\ ...

Step-by-step explanation:

4 0

2 years ago

1. When observing the specimen, in which

OverLord2011 [107]

Answer:

b. the stage

Step-by-step explanation:

The stage typically has a stage clip on either side to hold the slide firmly in place.

7 0

2 years ago

Sin (3pi/4) =_____ please help!!!

Jlenok [28]

Answer:

That is asking you to find the sine of (3/4) PI radians.

If you look at the attached graphic, you will see that (3/4) PI radians = 135 degrees

Going to this calculator, we see that the sine of 135 degrees is 0.70711

https://www.1728.org/trigcalc.htm

Step-by-step explanation:

5 0

3 years ago

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