Consider right triangle △ABC below.
Which expressions are equivalent to sin(∠B)?
Choose two answers:
A: tan(∠A)
B: length of side adjacent to ∠A/length of hypotenuse
C: sin(∠A)
D: AC/AB
Answers
Answer:
Khan academy
Step-by-step explanation:
The expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a right-angled triangle and its angles.
For the given situation,
From the diagram,
The right angle is at ∠C, so opposite to that side is hypotenuse.
If we consider angle at ∠B, then the side opposite to that side is opposite side and the other side is adjacent side.
Thus, Sin∠B = [tex]\frac{oppposite}{Hypotenuse}[/tex]
⇒ Sin∠B = [tex]\frac{AC}{AB}[/tex]
From the options, now check which options is equivalent to Sin∠B,
Option (A): tan(∠A)
Now, consider the angle at ∠A,
so, [tex]tan(\angle A)=\frac{oppposite }{adjacent}[/tex]
⇒ [tex]tan(\angle A) =\frac{CB}{AC}[/tex]
Option A is not equivalent to sin(∠B).
Option (B): length of side adjacent to ∠A/length of hypotenuse
⇒ [tex]\frac{AC}{AB}[/tex]
Option B is equivalent to sin(∠B).
Option C: sin(∠A)
[tex]Sin(\angle A)=\frac{CB}{AB}[/tex]
Option C is not equivalent to sin(∠B).
Option D: AC/AB
Option D is equivalent to sin(∠B).
Hence we can conclude that the expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.
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Related Questions
Consider a car rental for $42, plus $0.22 per mile driven. Which statements are correct?
A) This situation is modeled by a linear function.
B) If the car is driven 200 miles, the rental will cost $86.
C) If the car is driven 500 miles, the rental will cost $142.
D) This situation can be modeled by the function f(x) = 0.22x + 42.
E) This situation can be modeled by the function f(x) = (0.22)X + 42.
Answers
Answer:
a, b and d
Step-by-step explanation:
200 miles x 0.22 = 44$ + 42$= 86$
the equation would be f(x)= 0.22x + 42.
and its linear.
What is the angle of rotation counterclockwise about the spinner’s center that maps label h to label A? 252° 324° 144° 216°
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Answer:
its 324
Step-by-step explanation:
Emilia scored x points in a game . Sarah scored 3 less than 5 times as many points as Emilia . Together, Emilia and Sarah scored a total of 39 points . How many points did Emilia score?
Answers
Answer:
x=6
Step-by-step explanation:
x + 5x - 3 = 39
6x - 3 = 39
6x = 36
x = 6
On a tree, the trunk splits into 5 branches. Then each branch splits into 5 smaller branches, and each of those branches splits into 5 very thin branches. How many very thin branches are on the tree?
Answers
Answer:
There are 125 very thin branches.
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Which of the following is the graph of y = -(x-2)^3
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Find the slope, or rate of change, from the following tables:
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Find the CIRCUMFERENCE of a circle with the DIAMETER of 11 ft.
HELP PLS
Answers
Answer:
half of 11 is: 5.5
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I will mark u as brainliest no websites
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Answer:
the independent variable is p and the dependent variable is b
Step-by-step explanation:
Find two numbers that have a sum of -2 and a product of -48 (please show work if possible)
Answers
Answer: -8 and 6
Step-by-step explanation:
factors of 48: 1,2,4,6,8,12,24,48
1 x 48
2 x 24
4 x 12
6 x 8
for a negative product, one of the factors must be negative and the other positive.
for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.
and then we check:
-8 x 6 = 48
-8 + 6 = -2
Question 3
Based on your observations, what can you conclude about the relationship between the area of the sector, the measure of the corresponding central angle, and the are of circle?
Answers
Answer: The area of a sector is a fraction of the area of the circle. The fraction is equal to the ratio of the measure of the sector’s central angle to one full rotation, or 360°.
Step-by-step explanation:
A 25-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than five times the length of the first piece. Find the lengths of the pieces.
Answers
Answer:
3 inch 6 inch 16 inch 3+6+16 = 25
Step-by-step explanation:
First piesce = F
Second piece = 2F
third piece = 5F+1
F + (2F) + (5F+1) = 25
8F +1 = 25
subtract 1 om both sides
8F = 24
divide both sides by 8
F= 3
3X2= 6
3X5 +1 = 16
A study showed that a high school junior enrolled in two AP classes studies 25 hours per week with a standard deviation of 6.2 hours. If the school had
300 juniors enrolled in two AP classes, how many would you expect to find who studied more than 25 hours per week? ROUND YOUR ANSWER TO
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Answers
Answer:
A) 18cm^2
Step-by-step explanation:
(3 x 12)/2=36/2=18
Answer:
A
Step-by-step explanation:
12x3=36/2=18
SOMEONE PLEASE HELP WITH SCALE FACTORS!!!! I will mark brainliest if right!!! Explain!
Answers
Answer:
68
Step-by-step explanation:
Find the scale Factor:
What do you do to 10 to make it 4?
Divide by 2.5 or Multiply by 0.4
Since, Scale factors are always written as multiplications, use x 0.4
Find the area of the smaller pentagon:
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Hope this helps
What is the measure of an angle that is 3/6 of a circle?
Answers
Answer:
180 degrees
Step-by-step explanation:
A whole circle is 360 degrees and 3/6 of that (or 1/2) is 180 degrees. I hope this helps!
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The Measurement of SRV is 120°
5 cm
2 cm
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Answers
Answer:
Area = 34 cm squared
Step-by-step explanation:
First,
Top = 5
Bottom = 5
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Right side = 2
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Bottom = 10
Total = 34
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Question below in image
Answers
Answer:
m=4 n=5
Step-by-step explanation:
2n-1 = 9 because 1 is negative you add it to the 9 so the equation becomes 2n=10 then divide 10 by 2 and you get n=5
m+8 = 3m subtract the lone m (or 1m) from the left to the 3m which gives you 2m=8 then divide 8 by 2 and you get m=4
plug in the numbers to check.
2n-1=9= (2x5)-1=9 | 10-1=9 | 9=9
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I Only Need #9 Not 10
Answers
Answer:
6
Step-by-step explanation:
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~R3V0
[tex]d= \frac{C}{\pi }[/tex]
[tex]C = \pi d[/tex] (pi times d)
Help plz due now will mark brainliest if correct
Answers
Answer:
2^3
Step-by-step explanation:
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9-6=3
Which table shows exponential decay
Answers
Answer:
the first one on the picture.
Step-by-step explanation:
16/2 = 8
8/2 = 4
4/2 = 2
hope this helps :)
In the table, shows' exponential decay is:
The correct option is (A)
We have to find that :
Which table shows exponential decay
From the figure of exponential decay :
When the value of one variable of the function is decreased with increase in the number of other variable, then it is called the exponential decay function with constant exponential coefficient.
It can be given as,
[tex]\frac{dN}{dt}=-\lambda N[/tex]
Here, [tex]\lambda[/tex] is the exponential coefficient.
From Option A:
x y
1 16
2 8
3 4
4 2
The exponential coefficient for first and second row is,
[tex]\lambda=\frac{16}{8}=2[/tex]
Similarly,
[tex]\lambda=\frac{8}{4}=2\\\\\lambda=\frac{4}{2}=2[/tex]
Hence, as all the values of exponential coefficient is same, thus this shown the exponential decay.
From option B:
The exponential coefficient for first and second row is,
[tex]\lambda=\frac{16}{12}=\frac{4}{3}[/tex]
Similarly,
[tex]\lambda=\frac{12}{8}=\frac{3}{2} \\\\\lambda=\frac{8}{4}=2[/tex]
Learn more about exponential decay at:
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Help me with this question
Answers
Answer:
B is the answer
Step-by-step explanation:
Is that all the questions you need help with
Which describes a number that cannot be irrational?
a number that can be used to solve an algebraic equation
a number that represents the ratio of the circumference to the diameter of a circle
a number that represents the length of the diagonal of a square
a number that can be written as the ratio of two integers
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1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez
The list below displays the number of different burgers sold at Joe's restaurant during
one shift.
.
Cheese: 10
Double Meat: 6
Triple Meat: 5
Jalapeno: 4
If this trend continues, how many cheese or jalapeno burgers did they sell if the total
burgers sold were 150?
F 72
G 84
H 96
100
Answers
Please choose the right answer
Answers
Answer:
it's gonna be the 3rd one g(×)=1.07
Step-by-step explanation:
if im wrong im sorry tell me and ill correct it
Please answer these and don’t just type in random things so u can get the points , I wanted to give 50 but I don’t trust some of you with answering.
Answers
Answer:
2) 6,290
3) 13,540
Step-by-step explanation:
Formula for each question:
Amount of money made = Base salary + (Amount sold × Commission percentage)
2)
17% = 0.17
0 + (37000 x 0.17)
6290
3)
6% = 0.06
10000 + (59000 x 0.06)
10000 + 3540
13,540
Calculate the value of x.
Answers
Answer:
49.2°
Step-by-step explanation:
To solve for x you'll need to find the cosine of x°.
To find the cosine you will need to divide the adjacent side to it by the hypotenuse.
cos x°= [tex]\frac{17}{26}[/tex]
Using a calculator to solve you'll get that x ≈ 49.2°
What is the answers to these.
Answers
Answer:
A）-28
B）-48
C）45
-48
45!!!!!!!!
and that’s it !!
2a+3b as a column vector
Answers
Answer:
Step-by-step explanation:
