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3 years ago

9

How many edgès does the figure have?

1 answer:

lbvjy [14]3 years ago

4 0

Depending on the shape

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Define dot product, inner product, cross product.

sattari [20]

Answer:

Dot product. ... In Euclidean geometry, the dot product of the Cartesian coordinates of two vectors is widely used and often called "the" inner product (or rarely projection product) of Euclidean space even though it is not the only inner product that can be defined on Euclidean space; see also inner product space.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please find the area of the shaded region.

rodikova [14]

here is the solution to the question

3 0

3 years ago

Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

Mr. Vara is designing post caps in the shape of a square pyramid for a fence that he just built in his backyard. The caps are so

Lyrx [107]

Answer:

Height of the square pyramid is 6.569 centimeter

Step-by-step explanation:

The volume of the square pyramid is 94.5 cubic centimeters

The height of the square pyramid will be equal to the lengths of the sides of the square.

The volume of the square pyramid is given by

$a^2 * \frac{h}{3}$

or

$\frac{a^3}{3} = 94.5\\a^3 = 94.5 *3\\a = \sqrt[3]{94.5*3} \\a = 6.569$ centimeter

Height of the square pyramid is 6.569 centimeter

3 0

3 years ago

5. Find the measure of the indicated angle.

Angelina_Jolie [31]

Answer:

180 - 26 = 154

10x + 8 + 9x - 25 = 154

19x - 17 = 154

19x = 171

x= 9

so » C is:98°

and » D is: 56°

5 0

3 years ago