MATHEMATICS HIGH SCHOOL

A 10 meter long wire is attached to the top of a flagpole 5√3 meters long. What is the measure of the angle the wire makes with the ground?A. 25 degrees
B. 45 degrees
C. 60 degrees
D. 90 degrees

Answers

Answer 1
Answer: Well there has to be a right angle in there somewhere as the pole must be perpendicular to the ground.

Using the sine rule:
sinA/a = sinB/b where a = 10, A = 90, b = 5√3, B = B
Re-arrange for B, B = arcsin (b(sinA)/a)
B = arcsin(5√3(sin90)/10)
B = 60 degrees.

Answer is C

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A pulley with a radius of 8 inches rotates three times every five seconds. Find the
angular velocity of the pulley in radians/sec (round to the nearest hundredth). Find the
linear velocity to the nearst ft/hr. 

Answers

If the pulley rotates at a rate of 3 revolutions per second, then the period T of movement is  (1)/(3)s

a) calculate the angular velocity:

\omega=(2 \pi)/(T)\n \n \omega=(2 \pi)/((1)/(3))=6 \pi \ rad/s

b) calculate the linear velocity:

v=(2 \pi R)/(T)=(2 \pi.8)/((1)/(3))=24 \pi \ in/s \approx 75,36 \ in/s

Remember: 1 in/s = 300 ft/h

So, 75,36 in/s = 22,608 ft/h

A ratio of men to women in a party is exactly 3;2 if there are a total of 120 people at the party how many of them are women ? Can someone please explain to me how the answer is 48

Answers


If the ratio is 3:2 then you add that together to get 5.Which tell you what one group would equal. Then you divide 120 by 5 to get an answer of 24. If women is equal to 2 out of a total of 5, then you multiply 24 by 2 to get 48.

Caleb types 100 words in 5 minutes. what is the unit rate?

Answers

20 words per minute is the answer

your answer is  C.


Holps this helps :D

A husband and wife celebrate their birthdays on the same day of the month, but in different months. Every year, their birthdays fall on the same day of the week. If the husband's birthday is in March and the wife's birthday is later in the year, find the month of the wife's birthday.

Answers

Well, let's assume March 1st is Sunday. April 1st is Wednesday, May 1st is Saturday, June 1st is Tuesday, July 1st is Thursday, August 1st is Friday, September 1st is Sunday. So, her birthday must be in September.

The image point of A after a translation left 1 uint and down 2 units is the point B (1,-4). Determine the coordinates of the pre-image point A

Answers

Answer:0,2

Step-by-step explanation:

Two numbers are randomly selected from integers 1 through 9. What is the probability that only one of the integers is odd given that the sum of the two numbers is odd?1/4

1

40/81

5/40

Answers


Another one where there's a danger of overthinking it !

The sum of ANY two integers is odd only if one is even and one is odd.

If they're both odd OR both even, then their sum is even.

So if their sum is odd, then one is odd and the other is even.

The probability is ' 1 ' (100%) .
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