Why must the value of the sine ratio for an acute angleof a right triangle must always be a positive value less
than 1.
Answers
Answer:
Because of the range of the sine function.
Step-by-step explanation:
The reason why the value of the sine ratio for an acute angle
of a right triangle must always be a positive value less
than 1 has to do with the the range of the sine function.
The range of the sine function is
But in the first quadrant all y-values are positive and acute angles are less than 90°.
Therefore the range will now be 0≤y<1 for acute angles.
Sample Response: The sine ratio is the length of the side opposite a given acute angle divided by the length of the hypotenuse. Because the hypotenuse is the side opposite the largest angle, the 90° angle, it has to be the longest side. Thus, the ratio will have a denominator that is larger than the numerator, and the ratio will be less than 1.
~Notify me if you have questions~
Have a nice day, and I hope this helps!
-- XxFTSxX
Related Questions
How do you write 7.8 x 10squared in standard form
Billie’s monthly cell phone bill includes the cost of cell phone service, 15% tax on the cost of the cell phone service, and a $9.25 data fee. Billie’s monthly cell phone bill totals $61.What is the cost of the cell phone service before tax is added?
Darrell needs a ride to the airport. He is deciding between two options:Option A is a shuttle that charges a flat rate of $42.Option B is a cab that charges an initial fee of $4.50 plus an additional $1.25 for every mile traveled.For what number of miles will Option B cost less than Option A? Let m represent the number of miles.m < 12m < 30m < 38m < 9
Which of the following statements about physical fitness is TRUE?A Physical fitness is a continuous, changing state.B. Physical fitness is influenced by many factors.C. Physical fitness is individualized to each personD. all of the abovePlease select the best answer from the choices provided.Mark this and returnSave and ExitNextSubmit
Answers
Answer:
Brain is 173/30 feet away from where he started.
Step-by-step explanation:
0 + 31/5 = 31/5 feet
31/5 - 4/3 = 73/15 feet
73/15 + 9/10 = 173/30 feet
Answer:
Step-by-step explanation:
31/5 - 4/3 + 9/10 =
186/30 - 40/30 + 27/30 =
213/30 - 40/30 =
173/30 or 5 23/30 ft <=====
Answers
Answer: 1 1/2 hours or 90 minutes
Step-by-step explanation: Painting 1/2 of her bedroom took 3/4 an hour or 45 minutes. At the same rate, it would take her another 3/4 of an hour or 45 more minutes. Add it together to get 90 minutes or 1.5 hours to paint the full room.
Answers
Answer:
OR = √65
Step-by-step explanation:
M and N are the midpoints of their respective sides, so O is the centroid of the triangle. That means ...
ON = QN/3 = 12/3 = 4
By the Pythagorean theorem, ...
OR² = NR² +ON²
OR² = 7² +4² = 65
OR = √65
Using the Pythagorean theorem, we can find the value of OR as √65 or approximately 8.06 .
In the given figure, we can use the Pythagorean theorem to find the value of OR.
The Pythagorean theorem is a formula that relates the lengths of the sides of a right triangle, which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
This can be seen as c² = a² + b².
M and N are the midpoints of their respective sides, so O is the centroid of the triangle.
Given that QN is perpendicular to PR,ON = QN/3 = 12/3 = 4.
The value of ON =4, and the value of NR = PR/2
NR = 14/2(Because the N is midpoint for PR)
NR =7
By the Pythagorean theorem:-
OR² = NR² +ON²
OR² = 7² +4² = 65
OR = 8.06
Learn more about Pythagorean theorem here:
#SPJ3
Answers
Answer:
Distance travelled in hours is 659.17 miles .
Step-by-step explanation:
As given
Jill drives miles every hour .
i.e
Jill drives miles every hour .
Now find out the distance travelled in hours .
Distance travelled = 659.17 miles (Approx)
Therefore distance travelled in hours is 659.17 miles .
Answers
23. Basically I think (can't quite read all the question!) just work out the circumference of a circle with radius 20 feet (urgh imperial), ie 2*pi*r so 40pi.
mode=the number that occurs most in the set of numbers
median=if the number are in increasing order, the number in then middle
mean=average or if all the number are added together and divided by the number of numbers, you get the average, exg mean of 2,3,4=(2+3+4)/3=9/3=3
the numbers are
91,93,93,95,98,100
mode, the number that occurs most is 93
mediann, there are 6 numbers so there is no middle number
we must fix that
first find teh mean
91+93+93+95+98+100 divide by6=95
therefor the mean is 95
the easiest way to make the mean meadian and mode the same is add 2 more 95's into the order
91,93,93,95,95,95,98,100
mode=number occurs most=95
median=middle number=95
mean=91,93,93,95,95,95,98,100 added tother and divided by 9=95
the order is 91,93,93,95,95,95,98,100
23. so the circle that he can walk around, is representing the circumference of the circle
20 is the radius
circumference=2 times pi times raidus
c=2(pi)20
c=40pi
c= aprox125.664
the dog can walk 125.7 feet before returning to start