The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .
What are Trigonometric Ratios ?When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.
It is given that in triangle EFG , right angled at F ,
EG = 8 , FG = 2
By Pythagoras theorem
The length of EF is
8² = 2² + EF²
EF = √(64-4) = √60 = 2√15
The value of the trigonometric ratios is
sin E = Perpendicular / Hypotenuse
sin E = 2 / 8 = 1/4
sin G = 2√15 / 8 = √15 / 4
sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4
Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .
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If log_2(3) = a and log_2(10) = b then an expression for log_2(90) is
[tex]\log_290=\log_2(3^2\cdot10)=\log_23^2+\log_210=2\log_23+b=2a+b[/tex]
Select the correct answer from each drop-down menu. (Will give brainliest)
(Picture below options are 19.5, 29, 58 for both multiple choice)
The angle BAC will be 29 and the angle BOC will be 58.
What is the circle theorem?The angle in a circle's centre is twice that at its perimeter when two angles are subtended by the same arc. So, angle AOB = 2 angle ACB. Angles that the same arc subtends at its circumference are equal. As a result, angles inside a section are equal.
Here the given angle is ∠BDC = 29 so from the given theorem the angle BEC will be equal to the angle BDC.
∠BDC = 29
The centre angle BOC will be twice the angle at the circumference so the angle will be twice.
∠BOC = 59
Therefore the angle BAC will be 29 and the angle BOC will be 58.
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what is the square root of 10,000
Answer:
100
Step-by-step explanation:
The square root of 10000 can be written as (10000)1/2. Thus,
(10000)^/2 = (100 × 100)^1/2
(10000)^1/2 = [(100)2]^1/2
(10000)^1/2 = (100)^2/2
(10000)^1/2 = (100)^1
So,
√10000 = 100
Determine the intercepts of the line.y=−2x−21
help please now
Answer:
( -10.5 , 0 ) and ( 0 , -21 )
Step-by-step explanation:
→ Determine where a line intersects
x and y intercept
→ Set x equal to 0 to find y - intercept
( 0 , -21 )
→ Set y equal to 0 to find x intercept
0 = -2x - 21
→ Add 21 to both sides
21 = -2x
→ Divide both sides by -2
-10.5 = x
PLS HELP FAST!! WILL GIVE BRAINLEIST!
Examine the intersection of these two lines: In photo
Which of the following pairs of angles are
supplementary? Select all that apply.
1 and 2
1 and 3
1 and 4
2 and 3
2 and 4
3 and 4
Answer:
1 & 3
1 & 4
2 & 3
2 & 4
Step-by-step explanation:
Any angles that are next to each other on a straight line will add to 180. If they are across from each other (like 1 & 2 or 3 & 4) those are vertical angles. They are equal.
Math word problems please help
What is the equation of the line that passes through the point (6,-4) and has a slope
of-1/3
__________________________________________________________
[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
__________________________________________________________
[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} and a \emph{point}.}\quad{}\\\\\text{Slope: -1/3 }\\\\\text{Point: (6, -4)}\\\quad{}\\\text{We can use the information above to help solve our question.}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values and solve.}\\\\[/tex]
__________________________________________________________
[tex]\textbf{Solve:}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in -1/3 to m, 6 to x1, -4 to y1 and then solve.}\\\\y - (-4) = -1/3(x - 6)\\\\y + 4 = -1/3x + 2\\\\\fbox{y = -1/3x - 2}[/tex]
__________________________________________________________
[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line would be: \fbox{y = -1/3x - 2}}[/tex]
__________________________________________________________
may I have some assistance please
What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the slope using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the y-intercept using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope. Find the y-intercept using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.
The method that can be used to write the equation of a line in slope-intercept form given two points is option A.
Calculations and ParametersWhen a person wants to write the equation of a line in slope-intercept form given two points, he would have to:
Know the two pointsUse them to find the slopeYou would get the value of mUse it to solve the equation y= mx + bFind the y-interceptTherefore, the answer is option A.
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A basketball team scored a total of 97 points in a basketball game. They made a total of 42 two-point and three-point baskets. How many two-point baskets did they make? How many three-point baskets did they make? Let x= the number of two-point baskets Let y= the number of three-point baskets Equation for total number of baskets _____________________
Therefore the number of two point baskets = 29 and three point baskets = 13.
What is the system of equations?A set of equation that have a common factor that satisfies them
It is given in the question that
x = the two point baskets
y = the three point baskets
A basketball team scored a total of 97 points in a basketball game
2x +3 y = 97
They made a total of 42 two-point and three-point baskets.
x +y = 42
y = 42- x
2x + 3(42-x) = 97
On solving we get x = 29
Two point baskets = 29
and y = 13
Three point baskets = 13
Therefore the solution of the given system of equations are two point baskets = 29 and three point baskets = 13.
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= 1/2 (u+v)t
Where s is the distance traveled by an object (in meters) with an initial velocity u (in m/s) and final velocity (in m/s).
seconds later.
Find s when u is 8 m/s, vis 12 m/s, and t is 5 seconds.
A. 50 m
B. 78 m
C. 100 m
D. 156 m
The distance travelled by an object is 50 m.
What is Distance?The distance between two points is the length of the path connecting them.
Here, given equation of distance
S = 1/2 (u + v)t
Where s is the distance traveled by an object (in meters)
initial velocity u (in m/s)
final velocity v (in m/s).
t in seconds.
Now, given values are;
u = 8 m/s ; v = 12 m/s ; t = 5 sec.
S = 1/2 (8 + 12)5
S = 1/2 (20)5
S = 100/2
S = 50 m.
Thus, the distance travelled by an object is 50 m.
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Can someone look at the screenshot and help me?
Answer:
[tex]\boxed {A) m < CVB}[/tex]
Step-by-step explanation:
If C is a point inside ∠AVB, then :
⇒ m ∠AVC + m ∠CVB = m ∠AVB
Solve the following
[tex]5x-2= -9x+8[/tex]
Answer:
5x - 2 = (-9x) + 8
5x + 9x = 8 + 2
14 x = 10
x = 10 / 14
x = 5/7
Answer:
5 / 7
Step-by-step explanation:
Step 1: Move the variables to one side and the numbers to the other. We get 14x = 10.
Step 2: Then we solve for x. x is equal to 10 / 14, which simplifies to 5 / 7.
A number is 5 more than 3 times another number. the sum of the two numbers is 33. as an equation, this is written x 3x 5 = 33, where x represents the smaller number. plug in the numbers from the set {3, 5, 7, 9} to find the value of x. the value of x that holds true for the equation is . so, the smaller number is and the larger number is .
Answer:
Step-by-step explanation:
Equation
x + 3*x + 5 =33
Solution
4x + 5 = 33
x = 3
4*3 + 5 =? 33
12 + 5 = ? 17 x is not 3
x = 5
4*5 + 5 = ? 33
20 + 5 = 25 x is not 5
x = 7
4*7 + 5 =? 33
28 + 5 = 33 x = 7 is the answer
The value of the variable x will be 7 that holds true for the equation.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A number is 5 more than 3 times another number.
The sum of the two numbers is 33.
Let the number be x.
Then the another number will be 3x + 5.
Then the equation will be
x + 3x + 5 = 33
Then the value of x will be
4x + 5 = 33
4x = 28
x = 7
Then the value of the variable x will be 7 that holds true for the equation.
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let a,b, and c be real numbers where a ≠ b≠c≠0. which of the following functions could represent the graph below?
The function will be f(x) = x²(x - a)²(x - b)(x - c). Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph is given below.
The factor of the function will be
(x - 0), (x - a), (x - b), and (x - c)
Then the function will be
Then the function can be written as
f(x) = x²(x - a)²(x - b)(x - c)
Then the correct option is A.
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Answer:
The answer on Edge is Choice A
Step-by-step explanation:
constant equality 123
Answer:
using the identity (a±b) ² = a² + b² ± 2ab1) X² + 1 - 2X
2).x² + 4 - 4x
3) 9 + x² - 6x
4) y² + 16 - 8y
5) 4x² + 1 - 4x
6) 9 + 4y² - 6y
7) 4x² + y²- 8y
8) 1 + 16a² - 8a
9) 9x²+ 4y² - 12xy
10) -x²- 16y² + 8y
11) -x²- 25y + 10xy
Please help!!!!!!!!!!!
Let's take this problem step by step:
To find the ordered pair of the system:
⇒ must set both equations equal to each other
⇒ and solve for 'x'
Let's solve:
[tex]x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0[/tex]
Let's find the x-values:
[tex](x-4)=0\\x=4\\\\(x+4)=0\\x=-4[/tex]
Let's find f(x)'s value for each 'x':
[tex]x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27[/tex]
Answer: (4, 11), (-4,27)
Hope that helps!
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Find the slope of every line that is parallel to the line on the graph.
Answer:
-1/5
Step-by-step explanation:
What are parallel lines?
Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.
Finding the slope
We can find the slope using the following formula:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)
Here the given points are (-5,-1) and (0,-2)
So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1
We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2
Now we plug these values into the formula
Recall formula : [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2
[tex]Slope=\frac{-2-(-1)}{0-5}[/tex]
==> simplify numerator and denominator
[tex]slope = \frac{1}{-5}[/tex]
So the slope of the line is -1/5
This means the slope of any parallel line to that line would also have a slope of -1/5
true or false 5x +11 = 7 is an expression
Answer: False
Step-by-step explanation: An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Expressions do not have an equal sign because they do not have an answer.
Can someone give me the answer to this and explain it please for 100 points!
Answer:
10
Step-by-step explanation:
Evaluate for x=4
[tex]\frac{3(4+4)(4+1)}{(4+2)(4-2)}[/tex]
[tex]=\frac{120}{12}[/tex]
[tex]=10[/tex]
I Hope This Helps :)
Can you Mark Me As Brainliest
Answer:
c
Step-by-step explanation:
3*8*5/（6*2）=10
Which of the following is a true statement about the rhombus shown? A) m angle STP=90^ B) overline ST cong overline PT C) m angle SPQ=90^ D) overline SQ cong overline PR
Answer:
A
Step-by-step explanation:
.......STP=90°........
Which graph represents this equation?
5y = x + 5
A.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).
B.
A line is graphed in xy plane ranging from negative 8 to 8 in increament of 1. The line raises through (negative 8, negative 2) ,(0,1) and (1,5).
C.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 5, 4), (0, 5), and (5, 6).
D.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 2, negative 5), (negative 1, 0), and (0, 5). need answer quick
Graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the equation of the line:
5y = x + 5
After plotting the line on the coordinate plane.
The above line passes through:
(-5, 0), (0,1), and (5,2)
And the line rises from (-8, -0.5), (-5, 0), (0,1), and (5,2)
Thus, graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.
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Answer: A. A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).
Step-by-step explanation:
A sequence starts with: 32, 31, 30, 29...
Calculate the next 3 terms
Answer:
28,27,26
sequence=-3
Step-by-step explanation:
Answer:
[tex]\fbox {28, 27, 26}[/tex]
Step-by-step explanation:
Given :
⇒ a = 32
⇒ d = 31 - 32 = -1
Finding next 3 terms :
⇒ 29 - 1 = 28
⇒ 28 - 1 = 27
⇒ 27 - 1 = 26
Can someone pls help me with this fast thank you
Answer: Yes
Step-by-step explanation:
[tex]\frac{123}{2}=\frac{246}{4}=\frac{369}{6}=\frac{492}{8}=61.5[/tex].
Since the ratio of distance in miles and the time in hours is constant, the relationship is proportional.
Which choices are in the solution set of the inequality below? Check all that
apply.
18x> 45
A. 3
B. 2
c.
-13
D. 5
E. 2.5
F. 9
Answer: its -0
Step-by-step explanation:
Mr. Peter charges $ 2.25 for the usage of laptop for 9 hours. how much victor needs to pay for 15 hours of usage ?
Answer:
3.75
Step-by-step explanation:
if 2.25 is the cost for 9 hrs then divide by 9 and find one hr. (.25$) then multiply by 15 hrs and kabam you have it
What is the equation of the parabola shown with its directrix on this graph?
(Giving 75 points! Please do not answer without showing work and do not answer if you do not know the answer.)
Since we know U is the midpoint, we can say TU=
substituting in our values for each we get:
? =12x−1
Solve for x
We now want to solve for x.
−4x+11=−1
−4x= ?
x= 3
Solve for TU, UV, and TV
This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.
TU=8x+11 We know that x=3 so let’s substitute that in.
TU=8(?)+11
TU= ?
We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.
UV=12x−1 We know that x=3 so let’s substitute that in.
UV=12(3)−1
UV= 35
Using the segment addition postulate we know:
TU+UV=TV
35+35=TV
TV= 70
Answer:
x = 3
TU = 35
UV = 35
TV = 70
Step-by-step explanation:
As U is the midpoint of TV:
⇒ TU = UV
⇒ 8x + 11 = 12x - 1
⇒ 8x + 11 - 11 = 12x - 1 - 11
⇒ 8x = 12x - 12
⇒ 8x - 12x = 12x - 12 - 12x
⇒ -4x = -12
⇒ -4x ÷ -4 = -12 ÷ -4
⇒ x = 3
Substitute the found value of x into the expression for TU:
⇒ TU = 8x + 11
⇒ TU = 8(3) + 11
⇒ TU = 24 + 11
⇒ TU = 35
Using the transitive property of equality:
As UV = TU and TU = 15 then UV = 35
Using the segment addition postulate:
⇒ TV = TU + UV
⇒ TV = 35 + 35
⇒ TV = 70
Hence
TU=8(3)+11=35UV=12(3)-1=35TV=2(35)=704. Find the area:
23 m
5 m
379m²
389m²
74m²
5 m
18 m
6 m
Answer: 379 meters squared
Step-by-step explanation:
Hello!
So, to calculate this area, we need to split it into 3 squares.
You can see that there is a big square, and on top of the big square, there are 2 smaller ones: one to the left and the other to the right.
Area of a square (in this case rectangle) = Lenght multiplied by width
We got 3 squares, if we calculate the area of each one's, we can add them together and get the total area of the irregular shape.
The first square will be the big one:
To get the length of the big square, we need to subtract 5 from 23.
Length of big square = 18 meters
And the width is also 18 meters
Area of the big square = 18 * 18 = 324 meters squared
Now, let's calculate the top left square's area.
That will be 5 meters * 5 meters.
Area of top left square = 25 meters squared.
Top right square's area = 6 meters * 5 meters.
Area of top right square = 30 meters squared
Now, we just gotta add them all up:
324 + 25 + 30 meters squared = 379 meters squared
Hope I Helped!
A boy earned $435, $230, and $562 for 3 consecutive months. How much did he earn in the fourth month so that he gets an average earning of $500 in these 4 months?
Answer:
The boy earned $773 in the fourth month.
Step-by-step explanation:
1) First, we need to find the total amount of money he needs so that the average of the 4 months would be 500. We can do this by multiplying 500 and 4 (essentially, we are working backward when trying to find the average) [tex]500*4=2000[/tex] So, we know that the boy needs $2000 total by the end of the fourth month to make the 4-month average $500.
2) Now, we know how much the boy made for the first 3 consecutive months, so add those numbers up. [tex]435+230+562=1227[/tex] So within the first 3 months, the boy made $1227.
3) Finally, we know how much money the boy needs by the end of the fourth month and how much he made by the third, so to figure out how much he earned in the fourth month, we can simply subtract $1227 from $2000. [tex]2000-1227=773[/tex]
Tahir purchase to toys for his children he buyS spider-man and barbie doll for rs. 3,000 and rs. 5,000 respectively if a discount of 20% is offered on all toys find amount of discount in the sale price for each toy
For the spider man the discount is of rs600, for the doll the discount is of rs1,000.
How to find the amount of discount for each toy?We know that the price of the spider-man is rs3,000, and we apply a discount of the 20%.
So the amount of discount for that toy is the 20% of rs3,000, which gives:
(20%/100%)*rs3,000 = rs600
So the amount discounted for the spider-man is rs600.
For the case of the doll, we know that its cost is rs5,000, the amount discounted is:
(20%/100%)*rs5,000 = rs1,000
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