Drag the tiles to the correct boxes to complete the pairs. Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle.
Answers
Answer:
[tex]tanC=\frac{c}{b},[/tex] [tex]sinB=\frac{b}{a},[/tex] [tex]tanB=\frac{b}{c},[/tex] and [tex]cosB =\frac{c}{a}[/tex]
Step-by-step explanation:
We can use the phrase SOH-CAH-TOA to help us with this problem. SOH-CAH-TOA stands for Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, and Tangent = Opposite / Adjacent. This phrase helps to remember which sides of a right triangle get divided by which.
First, we'll evaluate [tex]cosB[/tex]. Referencing CAH (Cosine = Adjacent / Hypotenuse), we know that [tex]cosB[/tex] is equal to the length of the adjacent leg to ∠B, which is c, divided by the length of the hypotenuse of the right triangle, which is a. Therefore, [tex]cosB =\frac{c}{a}[/tex].
As for [tex]tanC[/tex], we can refer to TOA (Tangent = Opposite / Adjacent), which means that [tex]tanC[/tex] is equal to the length of the opposite leg to ∠C, which is c, divided by the length of the adjacent leg to ∠C, which is b. Therefore, [tex]tanC=\frac{c}{b}[/tex].
As for [tex]sinB[/tex], we can refer to SOH (Sine = Opposite / Hypotenuse), which means that [tex]sinB[/tex] is equal to the length of the opposite leg to ∠B, which is b, divided by the length of the hypotenuse of the right triangle, which is a. Therefore, [tex]sinB=\frac{b}{a}[/tex].
Finally, we'll evaluate [tex]tanB[/tex]. As TOA tells us, [tex]tanB[/tex] is equal to the length of the opposite leg to ∠B, which is b, divided by the adjacent leg to ∠B, which is c. Therefore, [tex]tanB=\frac{b}{c}[/tex].
Hope this helps!
Related Questions
plz answer this question will give you brainliest!!!
Answers
Answer:
1/10
Step-by-step explanation:
There is only one group with 2 numbers out of 4 who watched TV last night.
If fx) is a linear function, which statement must be true?
A. f(x) has no constant term.
B. f(x) has no x2-term.
C. f(x) has no terms with a coefficient other than 1.
D. f(x) has no x-term.
Answers
Answer:
B. f(x) has no x2-term.
Which parent function is represented by the table?
1
0
0.
1
1
4
N
O A. f(x) = [X1
O B. f(x) = x
O c. f(x) = 2x
O D. Ax) = x2
Answers
Answer:
D
Step-by-step explanation:
the vertex is (0,0) , the axis of symmetry is x=0
The parent function represented by the table is f ( x ) = x²
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is given from the table of values as
Let the x values of the function be x = { -2 , -1 , 0 , 1 , 2 }
Now , the y values of the function is y = { 4 , 1 , 0 , 1 , 4 }
So , the function is a quadratic rule of the form .
y = x²
On simplifying , we get
f ( x ) = x² be equation (1)
Therefore , the value of A is f ( x ) = x²
Hence , the function is f ( x ) = x²
To learn more about function rule click :
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The midpoint of \overline{\text{AB}}AB is M(-2, 1)M(−2,1). If the coordinates of AA are (1, -2)(1,−2), what are the coordinates of BB?
Answers
Answer:
B=(-5, 4)
The coordinates of BB are (-5, 4)(-5,4)
Step-by-step explanation:
To solve, we will follow the steps below;
mid point = m(-2,1)
coordinates A is (1,-2)
To find the coordinates B
We will use the formula
([tex]x_{m}[/tex],[tex]y_{m}[/tex]) = ([tex]x_{1}[/tex] + [tex]x_{2}[/tex] /2 , [tex]y_{1}[/tex] +[tex]y_{2}[/tex]/2)
from the question
([tex]x_{m}[/tex],[tex]y_{m}[/tex]) = (-2,1)
this implies
[tex]x_{m}[/tex] = -2 [tex]y_{m}[/tex] = 1
Also
A([tex]x_{1}[/tex] , [tex]y_{1}[/tex]) B( [tex]x_{2}[/tex] ,[tex]y_{2}[/tex])
A(1, -2) B( [tex]x_{2}[/tex] ,[tex]y_{2}[/tex])
[tex]x_{1}[/tex]= 1 [tex]y_{1}[/tex] =-2
we are to look for [tex]x_{2}[/tex] and [tex]y_{2}[/tex]
[tex]x_{m}[/tex] = [tex]x_{1}[/tex] + [tex]x_{2}[/tex] /2
-2 = 1 + [tex]x_{2}[/tex] /2
multiply both-side by 2
-4 = 1+ [tex]x_{2}[/tex]
subtract 1 from both-side of the equation
-4-1 =[tex]x_{2}[/tex]
-5 = [tex]x_{2}[/tex]
[tex]x_{2}[/tex] = -5
Similarly,
[tex]y_{m}[/tex] = [tex]y_{1}[/tex] +[tex]y_{2}[/tex]/2
1 = -2+[tex]y_{2}[/tex]/2
multiply both-side of the equation by 2
2 = -2 +[tex]y_{2}[/tex]
add 2 to both-side of the equation
2+2 = -2+ 2 +[tex]y_{2}[/tex]
4=[tex]y_{2}[/tex]
[tex]y_{2}[/tex] = 4
The coordinates of BB are (-5, 4)(-5,4)
From Delta Math (-2,-7)
[tex]$\text{PLZ HELP ASAP}$[/tex]
A debate team consists of five girls and four boys. (Everyone is distinguishable.) How many ways can they stand in line, so that at least two of the girls are standing next to each other? BTW the answer is not 17.
Answers
Answer: 9!-2880 = 360000.
Step-by-step explanation:
The Triangle ABC represents a landscaped area inside a square land parcel. AC is parallel to a side of the square. Find AB
Answers
Answer:
6√5
Step-by-step explanation:
ABC is right triangle
if the length of hypotenuse is 18 ft and base is 12 ft. then the side length would be
18^2 - 12^2 = AB^2
324 - 144 =√180
AB = 6√5
Identify a pair of perpendicular lines in the given figure. answers: s and t p and q q and t p and t
Answers
Answer:
s and t are perpendicular
Step-by-step explanation:
they intersect at a 90 degree angle, which is marked by the little square at the point where they intersect.
12. Which of the following are the coordinates of the vertex of y=-x+ 2x+ 1?
O Q, 1)
0 (-2, 1)
O (1, -2)
O (1, 2)
Answers
Answer:
Y=1
Step-by-step explanation:
i think thats right, im not fully sure
Let me know if i'm wrong :)
Martin deposits $700 into a savings account that gains interest at a rate of 5.5% annually. If he waits 7 years to withdraw the money, will he have earned more or less money than $275 and by how much?
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Use the multiplier 1.055
final = original x multiplier^n
where 'n' is the number of years
Sub the values in
final = 700 x 1.055^7
final = 1018.27
Subtract the values:
1018.27 - 700 = 318.27
Thus, he earns more than $275
He earns $43.27 more
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(1+x)^6 expanded form
Answers
Answer:
Step-by-step explanation:
(1+x)^6 = (1+3)^3 x (1+3)^3
(1+3x+ 3x^2+x^3) x (1+3x+ 3x^2+x^3)
1+ 6x+15x^2+20x^3+15x^4+6x^5+x^6
Formula for Fahrenhelt temperature F=32+ 9/5C For C
Answers
Answer:
[tex]C=\dfrac{5}{9}(F-32)[/tex].
Step-by-step explanation:
The formula for Fahrenheit temperature is
[tex]F=32+\dfrac{9}{5}C[/tex]
We need to write this formula for C.
Subtract 32 from both sides.
[tex]F-32=\dfrac{9}{5}C[/tex]
Multiply both sides by 5.
[tex]5(F-32)=9C[/tex]
Divide both sides by 9.
[tex]\dfrac{5}{9}(F-32)=C[/tex]
Therefore, the required formula is [tex]C=\dfrac{5}{9}(F-32)[/tex].
what is the answer: -4 - 2
Answers
First change -4 - 2 to -4 + -2.
Now we can use our number line to
help us visualize what's going on.
Starting at 0, -4 moves us 4 units to the left along our number line.
From there, another -2 moves us 2 more units to
the left along the number line and we end up at -6.
So -4 + -2 simplifies to -6.
Work shown below.
plssss helpppp againnnn
Answers
Answer:
x = 34°
Step-by-step explanation:
To solve for 'x', we will need to use the Supplementary Angles theorem. This states that on a line, all angles must add up to 180°.
We can set up a simple algebraic equation to solve for 'x':
180 = x + 12 + 100 + x
180 = 112 + 2x **Combine like terms
68 = 2x **Divide both sides by '2'
x = 34°.
Therefore, the measure of ∠x = 34°.
Answer: x= 34
Step-by-step explanation:
x + 12 + 100 +x = 180 use the equation and combine like terms
2x + 112 = 180 subtract 112 from both sides
-112 -112
2x = 68 Divide both sides by 2
x = 34
Check: 34 + 12 +100 + 34 = 180
180 = 180
Combine like terms in the expression -5x + 2y + 5x – 8y.
A. 10x – 6y
B. -10x + 6y
o c." by
D. -10% – 10y
Answers
Answer:
-6y
Step-by-step explanation:
the -5x and 5x cancel each other out, then the 2y and -8y become -6y.
Answer:
-5x + 2y + 5x - 8y = -6yStep-by-step explanation:
Like terms are terms whose variables (and their exponents) are the same.
[tex]-5x+2y+5x-8y[/tex]
We have the terms:
[tex]-5x;\ 2y;\ 5x;\ -8y[/tex]
Like terms:
[tex]-5x\ \text{and}\ 5x,\ 2y\ \text{and}\ -8y[/tex]
Combine like terms:
[tex](-5x+5x)+(2y-8y)=0x+(-6y)=-6y[/tex]
Select the equation that most accurately depicts the word problem.
5 pounds of potatoes at n dollars per pound costs $4.85.
Answers
Answer:
$4.85n = $24.52 where n = 5
If this doesnt match any of the equations, see if you can add the answer choices to your question
1.) A school wants to have a metal gate placed around it. However they only want to cover three sides of the school and they only have 2000 feet of gate. What are the dimensions of the school if the area is 240,000 square feet?
2.) A backyard is in the shape of a rectangle. The distance around the yard is 280 feet and it has an area of 2,400 square feet. What are the dimensions of the yard?
Answers
Answer:
I only have an answer to number 2 but the dimensions are 20 and 120.
Step-by-step explanation:
well you can remove the zeroes and factor either the 28 or 24. (I think 24 is the best) so when you factor it you get 2 and 12 because 2 x 12 is 24 and 2 + 2 + 12 + 12 is 28. Then add the zeroes and you have your dimensions. I hope that explanation helped with number 2.
If a rectangle has a permeter of 72 yards and it’s width is 9 yards what is the length of the missing length
Answers
Answer:
27
Step-by-step explanation:
The perimeter is 2x + 2y
Say x = 9
18 + 2y = 72
2y = 54
y = 27
Answer:
The length would be 27 yards
Step-by-step explanation:
The perimeter formula is l+l+w+w.
if f(x)=x^2 is vertically stretched by a factor of 6 to g(x) amd reflected over the x-axis, what is the equation for g(x)
Answers
hope it helps
will mark bianleast
A point's coordinates are changed from (–7, –2) to (7, –2). What impact does this have on the location of the point?
The location of the point remains the same.
It is reflected over the y-axis.
The location of the point is shifted to the left.
It is reflected over the x-axis.
Answers
Answer: The answer would be "It is reflected over the x-axis"
Step-by-step explanation: The location wouldn't remain the same because the 7 is now a positive #. The y-axis hasn't changed. It's still the same -2. The location of the point would move, but it wouldn't move the the left. It would move to the right, because the negative numbers on the x-axis are on the left hand side, while the positive numbers are on the right hand side
Answer:When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Step-by-step explanation:
You find a car that is on sale for $13,000. It was originally $19,000. What is the percent change?
Answers
Answer:
( About ) % 31.58
Step-by-step explanation:
Consider the procedure below;
[tex]Increased Value = $ 19,000 - $ 13,000 = Difference ( $ 6000 ),\\\\Take Fraction of difference / Start Value = 6,000 / 19,000,\\( Percent ) = ( Around ) 31.58\\[/tex]
Thus, solution; ( About ) % 31.58
John earns
$59,800 a year. He is paid bi-weekly. What is his monthly pay?
Answers
Answer:
$4,983.33
Step-by-step explanation:
Bi weekly means every two weeks so he gets paid $2491.67 every two weeks. Multiply this by two and you get his monthly payment of $4,983.33
Susie purchases a $13,000 car and plans to repay the loan by making monthly payments over the course of five years. The interest rate is 2.1%. Compute Susie's monthly payments using the amortization formula.
a) $228.43
b) $383.09
c) $479.72
d) $518.25
Answers
x + (-3) = -7
X=
Answer here
I
Answers
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]x-3=-7[/tex]
[tex]x=-7+3[/tex]
[tex]x=-4[/tex]
Answer:
X = -4
Step-by-step explanation:
X + -3 = -7
Add 3 to each side
X -3 +3 = -7+3
X = -4
Below is a grid with four quadrants. Plot the following points, and connect them with line segments. Point A (-2,-4). Point B (3,4). Point C (3, -4) Now this question below is the question I need help with On the same grid paper above, transform your figure ABC using the rule (2x,2y) I already plotted points ABC now I need to answer this question which I forgot to do. Below is the screenshot of the question with the grid with the first points plotted
Answers
Answer:
i think the answer is b
Step-by-step explanation:
Here are the diameters of four coins: penny (1.9 cm), nickel(2.1cm), dime (1.8cm), quarter (2.4cm). A coin rolled about 33 cm in 5 rotations. Which coin is it? Use 3.14 for pi
Answers
Answer: Nickel
Step-by-step explanation:
Hi, to answer this we have to calculate the circumference of each coin:
C =π diameter.
Penny = 3.14 (1.9)= =5.96 cm
Nickel = 3.14 (2.1) =6.6 cm
Dime = 3.14 (1.8) =5.62 cm
Quarter = 3.14 (2.4) =7.53 cm
Since the coin rolled about 33cm in 5 rotations, it means that the circumference of the coin (x) multiplied by 5 is equal to the distance rolled.
5x=33
x =33/5 =6.6 cm
The coin is the nickel, because its circumference is equal to 6.6 cm.
I need help please!!!
Write the inequality that best represents the relationship shown on this number line:
Answers
Answer:
x ≥ -1
Step-by-step explanation:
the red fully circle in -1 show that -1 is include
Which expression has exactly three terms? Select all the expressions that apply.
A. 3x
B. y^3
C. xyz
D. x+y+1
E. x+y+z
F. y^3−2y^2+y−1
G. 4x^3+10x^4−7x
H. ( x+1)( y−2 )( z+5 )
Answers
The answer is expressions D, E, and G.
In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.
Options A and B only have 1 term, an x or y³, so these are incorrect.
Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.
D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.
G has 3 unique terms, x³, x^4, and 7x, so this is correct.
When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.
I hope this helps!
Answer:
answers are x+y+1, x+y+z ,4x^3+10x^4-7x , ( x+1)( y-2 )(z+5 )
Each iron atom has a mass of about 9 x 1023 grams. Even a small grain of iron has an incredible number of atoms in. it--about 1 x 1018 atoms in one grain. Which of these is most similar to the number of atoms in a grain of iron?
Answers
Answer:
A- the number of people in a large stadium; about 1x10 ^5
Step-by-step explanation:
Which expression could be used to find the volume of the prism below?
A ( 2x8)
B (2x8) + (2x8)
C (2x8) x (2x8) x (2x8) x (2x8)
D (2x8) + (2x8) (2x8) + (2x8)
Answers
Answer:
I think its either C or D but im not very sure.
Step-by-step explanation:
Answer:
I think it’s b
Step-by-step explanation:
The top and the bottom
please help as soon as possible
I WILL MARK YOU AS BRAINLIEST
Answers
Answer:
The answer is c
Step-by-step explanation:
Because she has two more nickles than dimes so the variable has to be c and the two more refers to (c+2)
