MATHEMATICS HIGH SCHOOL

Given the diagram below, what is sin (30°)

Answers

Answer 1

Answer:

Answer:

a is the right answer

Step-by-step explanation:

becuse i took the text

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What is the volume of this rectangular prism?

Answers

Answer:

$(64)/(27) cm^3$

Step-by-step explanation:

V = L*W*H

V= (4/3)*(4/3)*(4/3)

Volume = $(64)/(27) cm^3$

A computer simulation tossed a 10-faced die 5 times. How many possible outcomes exist?

Answers

Answer: There exists 100000 possible outcomes.

Step-by-step explanation: Given that a computer simulation tossed a 10-faced die 5 times.

We are to find the number of possible outcomes that exists.

Since there are 10 faces of the die, so we have 10 possible options for each of the 5 tosses.

Therefore, the total number of possible outcomes is

$n=10*10*10*10*10=10^5=100000.$

Thus, there exists 100000 possible outcomes.

10^5 1,000,000 believer or 100,000 didnt have a cal

Find cotx if sinx cotx cscx = sqrt2

Answers

Answer:

$cot(x)=\sqrt2$

Step-by-step explanation:

$sin(x)cot(x)csc(x) = \sqrt2$ , csc(x) = 1/sin(x)

$sin(x)cot(x)((1)/(sin(x))) = \sqrt2$

$cot(x)=\sqrt2$

Determine two pairs of polar coordinates for the point (5, 5) with 0Á _ _ < 360Á

Answers

the polar coordinates are given by M(x, y), such tha x=rcos(teta), and y=rsin(teta), it was given M(5,5), so 5=rcos(teta) and 5=rsin(teta), the ratio gives us 5/5= cotan (teta), 1= cotan (teta), implies 1= tan(teta), so teta = Pi/4, let's find r
5=rsin(Pi/4)=r . sqrt(2)/2, so r =10/sqrt(2)=10sqrt(2)
finally the polar coordinates are (r, teta) = (10sqrt(2), Pi/4)

A group of friends decided to go to the movies. The group plus a one time fee of $15. They also pay $15 per person for popcorn. If the group pays $360 in total, how many friends are in the group?