The figure below shows a right triangle:
What is r ÷ p equal to? (6 points)
Group of answer choices
A. sin y°
B. sin x°
C. tan y°
D. tan x°
Answers
Answer:
tan y°
Step-by-step explanation:
by using the Sine Rule (See attached), we can form the equation:
[tex]\frac{r}{sin (y)} = \frac{p}{sin (x)}[/tex]
rearranging this, we get:
[tex]\frac{r}{p} =\frac{sin(y)}{sin(x)}[/tex] ---------------------eq 1
Recall that all internal angles of a triangle must sum to 180°. we observe that we have a right triangle where one of the angles is 90°. It then follows that the sum of the other two angles must sum to 90°
i.e x + y = 90°
with a little rearranging, we get
x = (90° - y)
Substituting this into eq 1 above, we get:
[tex]\frac{r}{p} =\frac{sin(y)}{sin(90- y)}[/tex] ---------eq 2
recall that from the trigonometric co-function identities,
sin (90°- y) = cos y
substituting this into eq 2 gives :
[tex]\frac{r}{p} =\frac{sin(y)}{cos(y)} = tan(y)[/tex] (answer)
Related Questions
What is the domain of the relation
Answers
Answer:
its the second one
Step-by-step explanation:
1. starting point of the domain ( x-axis ) is 0
2.ending is at 3
374 students said that they played sports. 58% said that they played basketball. How many students played basketball?
Answers
Answer:
A
Step-by-step explanation:
a withdrawal of 225 what is the integer
Answers
Answer:
-225
Step-by-step explanation:
A withdraw means taking out -225 dollars
y = 2x - 10
2y = x - 8
Which variable should an expression be substituted for?
Answers
Answer:
The variable h
Step-by-step explanation:
Here, we want to get the variable that an expression should be substituted for
The correct answer is the variable y
we substitute the value we have for y in the first equation for the y value in the second equation
A trash bin has a capacity of 50 gallons. What percentage of its capacity is each of the following? 60% 10% 90% 200% 5 gal 30 gal 45 gal 100 gal 5 gal 30 gal 45 gal 100 gal
Answers
Answer:
5 gallons is 1/10 of 50 gallons; this is 10%
30 gallons is 30/50 or 60%
45 gallons is 45/50 or 90%
100 gallons is 200%
Step-by-step explanation:
pls help me for brainless
and 60points
Answers
Answer:
2nd
Step-by-step explanation:
Answer:
the orange one
Step-by-step explanation:
3x^2+x-2
3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.
i need help with these assignments anybody willing to help? ! must include ratio tables! and i only need to do question 4
Answers
Answer:
4.a
Step-by-step explanation:
hope it helps
please help me!! it's due in 10 mins and I don't understand it!!
Answers
Answer:
J probably
Step-by-step explanation:
When multiplying the rectangle's sides by 1.5 you get the rectangle F.
When multiplying the sides by 1/4 you get G.
When multiplying by 1.25 you get H.
To get J, you would need to muliply 8 by 1.25 and 2 by 2. There is no scale factor that would result in the rectangle ABCD turning into J.
Find x
I'm struggling plz help
Answers
Step-by-step explanation:
the right side of the diagram
9^2 + x^2 = 24^2
81 + x^2 = 576
x^2 = 576 + 81
x^2 = 657
x=√657
the left side of the diagram
9^2 + x^2 = 24^2
81 + x^2 = 576
x^2 = 576 + 81
x^2 = 657
x=√657
Does any one know how to do 2r+4<8 it’s aggravating me
Answers
Answer:
Step-by-step explanation:
2r+4<8
subtract 4 from both sides
2r<4
divide by two
no need to reverse the sign since you are not dividing by a negative number
r<2
HIJK is a triangle based pyramid. The base HIJ is an equilateral triangle with side 10cm. The volume of the pyramid is 300cm^3. Calculate the perpendicular height, h, of the pyramid.
Answers
Answer:
20.78 cm^3 to the nearest hundredth.
Step-by-step explanation:
Volume = 1/3 * a * h where a = area of triangular base and h = the height.
The area of the triangle
= 1/2 * base * height
Its height = √(10^2-5^2)
= √75.
So its area = 1/2 * 10 * √75
= 5√75
So for the pyramid we have:
300 = 1/3 * 5√75 * h
h = 300 / (1/3 * 5√75)
= 20.78 cm^3.
Choose the correct simplification of the expression a2 ⋅ a3.
Answers
Answer:
a^5
Step-by-step explanation:
( thats a to the 5th power. )
Answer:
a5
Step-by-step explanation:
Indicate the answer choice that best completes the statement or answers the question.
PRODUCTION A manufacturer produces 950 light bulbs per day.
Days, d
1
2
3
4
Bulbs, b
950
1,900
2,850
3,800
Use the equation to determine how many bulbs the manufacturer will make in 25 days.
Oa 23,750 bulbs
Ob. 38 bulbs
Oc. 24,700 bulbs
O d. 975 bulbs
Answers
Answer:
a - 23,750 bulbs
Step-by-step explanation:
950 x 25 = 23,750
The box plots represent weights of tomatoes harvested by two growers. Based on the graph, which is true?
A. Grower A was more likely than grower B to have tomatoes weighing 5 or more ounces.
B. All grower A tomatoes were lighter than all grower B tomatoes.
C. Grower B was more likely than grower A to have tomatoes weighing 4.5 or more ounces.
D. Grower B tomatoes were more likely to weigh less than 5 ounces than they were to weigh more than 5 ounces.
Answers
Answer:
b
Step-by-step explanation:
sorry if i am wrong
Answer:
The answer is D
Step-by-step explanation:
grower b has more of a lower pecentage of tomatoes under 5 so that would be the correct answer
I Will give brainliest!! On a piece of paper graph -- Then determian which answer choice matches the graph you drew
Answers
Answer:
i dont know sry for the bother
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
that's the only graph that actually matches the coordinates
Write an equation of the line that passes through the points (-6, -8) and (2, -8).
Y=
Answers
Answer:
I wanna say 8 if its.
y=8x+-8
If thats wrong im sorry
Answer:
8
Step-by-step explanation:
I think of a number. I multiply it by 2 and my answer is 24. What was my number?
Need help trying to solve
Answers
Answer:
12
Step-by-step explanation:
Brainliest plz trying to level upPLZ help me!! I will give 28 Points
Answers
Answer:
2
Step-by-step explanation:
base is 2 times larger
Answer:
2
Step-by-step explanation:
Hope this helps please tell me if anything is wrong!!
What is the perimeter of the triangle?
Please help ASAP!
Answers
Answer:
35 units
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
you just add together the lengths of each of its 3 sides
the length of hypotenuse, I found using theorem of pythagoras
find the value of X and Y
Answers
Answer:
x = 11, y = 56
Step-by-step explanation:
which inequality is true when x=2.5
Answers
Answer:
should be C
Step-by-step explanation:
Mark is making jackets. Mark took 2 hours to make a jacket. The jacket was made up of 50 kilograms of wool. How long do you think it will take Mark to use 500 kilograms of wool for the jackets?
Answers
Given:
Mark took 2 hours to make a jacket.
The jacket was made up of 50 kilograms of wool.
To find:
The time in which Mark use 500 kilograms of wool for the jackets.
Solution:
We have,
1 jacket take 2 hours.
Number of jackets in 50 kg of wool = 1
Number of jackets in 1 kg of wool = [tex]\dfrac{1}{50}[/tex]
Number of jackets in 500 kg of wool = [tex]\dfrac{1}{50}\times 500[/tex]
= [tex]10[/tex] Jackets
Time taken by 1 jacket = 2 hours
Time taken by 10 jacket = 20 hours
Therefore, it will take 20 hours to use 500 kilograms of wool for the jackets.
Answer:
20 hours
Step-by-step explanation:
1 jacket=50kg wool
1 jacket= 2hrs
500kg available/50kg per jacket= 10 jackets
10 jackets x 2hrs per jacket=20hrs
True or false : The function shown has an absolute Minimum
Pick the answer that best fits the description
Answers
Answer:
Cannot be determined
Step-by-step explanation:
You cannot assume the function travels down infinitely, because the function is not given to you. The graph could go up down left or right for all you know, you just cannot see it.
Find the number of degrees in the third angle of the triangle.
100 degree and 49 degrees
Answers
Answer:
31
Step-by-step explanation:
6. The scatter plot shows the median household income, x, in thousands of dollars, and
the number of adults per 1,000 people with bachelor's degrees, y, of 50 U.S. states.
The line y = 4.08x + 63.13 is a good fit for this data.
Answers
The line y = 4.08x + 63.13 is a good fit for this data because it accurately represents the positive relationship between median household income and the number of adults with bachelor's degrees in the 50 U.S. states.
Given that a scatter plot of median household income x and the number of adults per 1,000 people with bachelor's degrees y for 50 U.S. states. The line y = 4.08x + 63.13 is suggested to be a good fit for this data.
To understand why this line is a good fit, to consider its equation. In this case, y represents the number of adults per 1,000 people with bachelor's degrees, and x represents the median household income in thousands of dollars.
The equation of the line is y = 4.08x + 63.13. This means that for every increase of $1,000 in median household income, the number of adults with bachelor's degrees increases by 4.08 per 1,000 people. The intercept of the line is 63.13, which represents the number of adults with bachelor's degrees when the median household income is $0.
By analyzing the scatter plot, we can see that the points are roughly linear and show a positive correlation between median household income and the number of adults with bachelor's degrees. The line represents the best fit for this data because it minimizes the distance between the line and the points on the scatter plot.
Hence, the line y = 4.08x + 63.13 is a good fit for this data because it accurately represents the positive relationship between median household income and the number of adults with bachelor's degrees in the 50 U.S. states.
Learn more about Line here:
https://brainly.com/question/30003330
#SPJ4
what is a 5a − 8 = 8 + a
Answers
Answer:
a=4
Step-by-step explanation:
5a-8=8+a
4a-8=8
4a=16
a=4
You are told that you will have to wait 5 hours in a line with a group of other people. Can you determine the number of people waiting in the line?
Answers
Answer:
No
Step-by-step explanation:
We don't know how many thier people there are and we don't know how long until a person gets through
Factor using the GCF: 6x + 15
Answers
Answer:
3(2x + 5)
Step-by-step explanation:
What numbers go into both 6 and 15? What number is the largest of those numbers? The answer to both questions is 3, therefore we factor out the 3 using the distributive property
Answer:
It is 3(2x+5)
Step-by-step explanation:
Hope you get it right
Tasha is packing gift bags that include the same items. she has 72 glow sticks, 36 markers, and 24 bottles of bubbles. Tasha believes that she can pack no more than 6 bags using all of her supplies.
Answers
Answer:
22
Step-by-step explanation:
Answer:
This is not true. If Tasha has her supplies as multiples of twelve, She can make twelve bags in total.
24 ÷ 12 = 2
36 ÷ 12 = 3
72 ÷ 12 = 6
As all are evenly divided by twelve, indicating she is able to make twelve bags in total.
cuanto es 5 + 2d = 9
Answers
Answer: d=2
Step-by-step explanation:
Given
5+2d=9
Subtract 5 on both sides
5+2d-5=9-5
2d=4
Divide 2 on both sides
2d/2=4/2
d=2
Hope this helps!! :)
Please let me know if you have any questions