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2 years ago

Please help!! 20 points! #18 a,b,c

Mathematics

2 answers:

AVprozaik [17]2 years ago

8 0

A. 60 degrees
b. 45 degrees
c. 36 degrees

To find your answer, you simply divide 360 (degrees in a circle) by x (number of slices per pizza)

svetlana [45]2 years ago

6 0

Answer:

my answer is a. 60 degrees b. 45 degrees c. 36 degrees

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Which statement correctly compares the two functions? A. They have the same end behavior as x approaches [infinity], but they ha

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Answer:

A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.

Step-by-step explanation:

The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.

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2 years ago

Using the diagram below and with reference to the angle θ, state the length of the opposite side.

Ilia_Sergeevich [38]

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Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out

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1 year ago

True or false and why?

Annette [7]

Answer and explanation:

(a) There exists a vector space consisting of exactly 100 vectors.

False. All vector space consists of an infinite number of vectors.

(b) There exists a vector space of dimension 100.

True. There exist vector spaces of N dimensions. You can peak an N integer you desire (in this case N=100)

(c) In a vector space of dimension 3, any three vectors are linearly independent.

False. Thre different vectors could be linearly dependent. Example: (1,1,0),(1,1,1),(0,0,1). The first and the third vector form the second one.

(d) In a vector space of dimension 3, any four vectors are linearly dependent.

True. The maximum number of linearly independent vectors in a vector space of dimension 3 is 3. Therefore any additional vector will be linearly dependent with the others.

(e) Any vector space of dimension 2 has exactly two subspaces.

False. Any vector space has an infinite number of subspaces, independently of its dimension.

(f) Any vector space of dimension 2 has infinitely many subspaces.

True. I explained this in the previous statement.

(g) Any vector space of dimension 3 can be expanded by four-vectors.

False. You expand subspaces of dimension n by adding m linearly dependent vectors to complete the space of dimension (n+m) in which exist. You don´t expand vector spaces.

(h) Any vector space of dimension 3 can be expanded by two vectors.

False. I explained this in the previous statement.

(i) Three vectors are linearly dependent if and only if one of them can be written as a linear combination of the other two.

False. One of the three vectors could be linearly dependent with one of the other 2 two vectors and linearly independent with the other.

(j) The column space and row space of the same matrix A will have the same dimension.

True. The rank of any matrix is the dimension of the columns or the rows. Been only a single number, columns space and row space have to have the same dimension. This can be explained with the rank-nullity theorem.

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2 years ago

Pete has the option of borrowing $380 for one week at an APR of 600% or borrowing the $380 for one week with a fee of $45. Which

GarryVolchara [31]

APR = annual percentage rate.

Since Pete is borrowing the money for one week, the APR must be divided into a daily interest rate before we can figure out how much he'll pay for the loan.

There are 365 days in a year. Divide the APR by 365 to find the daily interest rate.

$\frac{600}{365} = 1.643$

The daily interest rate of the loan will be 1.643%.

The following equation is used to find the total interest payment:

$A = P(1+ \frac{r}{365})^{t} - P$

A represents the total amount paid in interest. P represents the amount borrowed for the loan. r represents the daily interest rate. t represents the amount of days the loan will last.

Plug in your values into the equation.

$P = 380, r = 1.643, t = 7$

$380(1+ \frac{1.643}{365})^{7} - 380 = 12.136$

Rounded to the nearest hundredths value, the total interest paid will be $12.14.

Compare the total amounts paid for both loans.

$12.14 < $45

The better deal is the loan with the 600% APR.

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2 years ago

Read 2 more answers

Referring to the figure, does the triangle shown have

Natalka [10]

Referring to the figure, does the triangle shown have

rotational symmetry?

<u>a. yes</u>

b. no

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2 years ago