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2 years ago

How to use prime factorization to find the greatest common factor of 90 and 104

Mathematics

1 answer:

alekssr [168]2 years ago

5 0

Answer:

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 90, 104 i.e. 2 largest integer by which both the numbers can be divided. Greatest common factor (GCF) of 90 and 104 is 2

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Law of sines: How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?

butalik [34]

According to the law of sines:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

Using the given values, we can find the angle B and find the number of possible triangles that can be formed.

$\frac{2}{sin(75)}= \frac{3}{sin(B)} \\ \\ 
sin(B)=3* \frac{sin75}{2} \\ \\ 
sin(B)=1.45 \\ \\ 
B=sin^{-1} (1.45)$

The range of sin is from -1 to 1. The above expression does not yield any possible value of B, as sin of no angle can be equal to 1.45.

Therefore, we can conclude that no triangle exists with the given conditions.

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2 years ago

z scores are useful because they:a. allow us to convert raw scores to mean scores, compare scores from different samples, and tr

Alla [95]

Answer:

they give us a sense of where a score falls in relation to the mean of its population (in terms of standard deviation of its population), 2) they allow us to compare scores from different distributions, and 3) they can be transformed into percentiles.

Step-by-step explanation:

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2 years ago

The graph of a system of equations is

Dovator [93]

Answer:

The system has no solution.

Step-by-step explanation:

In order for the system to have a solution, both graphs must have an intercept to each others. We see in the picture that both graphs are parallel and do not have any interceptions which we don't know the solution to the system.

That means if graphs are parallel and have no interceptions, there are no solutions. The system of equations are for finding the interceptions of both graphs. But of course! Parallel lines do not intercept.

If you have any questions, feel free to ask.

6 0

2 years ago

A certain type of bacteria reproduces so that after x hours there are 15x cells. What single power represents he size relationsh

algol [13]

Answer:

let's say cells is c and hours are x that means there are 15 cells each hour. the equation for that is c=15x

after 08 hours the cells have multiplied 8 times their original size. meaning that the equation changes to this: c=15x x=8 c= 15(8)

x equals 8 at that time.. literally

ok the cells have multiplied and now there are 120 cells in total

then after one day the cells have multiplied over 12 times afterwards. now x equals 24. the equation would look a little like this:

c=15x x=24 c= 15(24)

there are 360 cells now.

Explain in your own words the relationship between x=8 with x=24 in the equation.

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2 years ago

Four members from a "55"person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, an

liq [111]

Answer:

8,185,320 different leadership structures

Step-by-step explanation:

Since the order at which the members of the committee are chosen matters, this is a permutation of 4 out 55 people and it is given by:

$n=\frac{55!}{(55-4)!}=55*54*53*52 \\\\n=8,185,320$

8,185,320 different leadership structures are possible.

3 0

2 years ago