Answer:
C = 23.5 in
Step-by-step explanation:
θ = 43°
The length of the side opposite to θ = 16 in.
Hypotenuse = DK
Apply trigonometric ratio, thus:
sin(θ) = opp/hyp
Plug in the values
sin 43 = 16/DK
Multiply both sides by DK
DK*sin 43 = 16
Divide both sides by sin 43
DK = 16/sin 43
DK = 23.5 (nearest tenth of an inch)
NEED HELP ASASPPP
A study reported that about half of high school seniors study for upcoming math tests. To find out if this applies to seniors at Garfield High School, an SRS of 30 seniors was asked if they study for their math tests. Nineteen responded "Yes.”
A dotplot is provided showing the results of 40 trials of this simulation.
A dotplot titled seniors who study for math tests have number of seniors who responded yes on the x-axis, and frequency on the y-axis. 12, 2; 13, 5; 14, 6; 15, 11; 16, 9; 17, 4; 18, 2; 9, 0; 20, 1.
Does this provide convincing evidence that seniors at Garfield High School study more than the report stated?
No, there is an outlier at 20.
No, there were outcomes as low as 12.
Yes, only one trial had a result of 19 or larger.
Yes, more than half of the simulated results are over 15.
Answer:
Yes, only one trial had a result of 19 or larger.
Step-by-step explanation:
The claim reported is that only about half of high school seniors study for upcoming math test. However, at Garfield a sizeable number of the 30 surveyed observation gave a symmetrical distribution about the study pattern of their high school seniors with only one trial a frequency of yes greater than or equal to 19
PLEASE HELP ME PLEASEEEEEEEEEEE
A triangle is inscribed in a square, as shown. Write a simplified function r in terms of x that represents the area of the shaded region.
This is the same as (1/2)x^2 because 1/2 = 0.5
We could rewrite that into [tex]\frac{x^2}{2}[/tex]
=========================================================
Explanation:
The base of the white triangle (aka unshaded region) is x, while the height is also x
The area of the white triangle is
A = 0.5*base*height
A = 0.5*x*x
A = 0.5*x^2
The area of the entire square is x*x = x^2. Subtract off the area of the white triangle to get the area of the two blue shaded regions combined
shaded region = (square area) - (white triangle area)
shaded region = (x^2) - (0.5x^2)
shaded region = x^2 - 0.5x^2
shaded region = 1x^2 - 0.5x^2
shaded region = (1-0.5)x^2
shaded region = 0.5x^2
So the white triangle occupies half of the square, while the blue shaded region occupies the remaining 50% of the square.
Because 0.5 = 1/2, we can write this as (1/2)x^2, but I think using decimals in this case is easier.
if f(x) = 2x/x-5
find f-1(x)
Answer:
5x/x-2
Step-by-step explanation:
rewrite it as x=2y/y-5 to make y the subject
multiply by (y-5) on both sides to get x(y-5)=2y
simplify x(y-5)=2y to get xy - 5x = 2y.
in order to get y as a subject you would need to move all the (y)s to one side.
Which would leave you with xy - 2y = 5x. you can now make y the subject from here through factorisation : y(x-2)=5x.
Then to finish with y as a subject divide (x-2) on both sides to get the answer which is : y = 5x/x-2
Sorry if this is confusing but this is me explaining how my thought process works for this question.
The inverse of the function will be -
f⁻¹(x) = 5/(1 - 2/x)
What is inverse of function? What is a mathematical equation? What do you mean by domain and range of a function?In mathematics, the inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]{\displaystyle f^{-1}.}[/tex]A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given is f(x) = 2x/(x - 5)
We have -
y = 2x/(x - 5)
replace [x] with [y] as -
x = 2y/(y - 5)
Solving for y -
y/(y - 5) = x/2
(y - 5)/y = 2/x
(y /y - 5/y) = 2/x
(1 - 2/x) = 5/y
y = 5/(1 - 2/x)
f⁻¹(x) = 5/(1 - 2/x)
Therefore, the inverse of the function will be -
f⁻¹(x) = 5/(1 - 2/x)
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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2^46 is how many times as many as 2^42?
Answer:
16 times as many
Step-by-step explanation:
2^46 = 70368744177664 2^42 = 4398046511104 70368744177664/4398046511104 = 16
PLEASE HELP I NEED HELP ASAP
What is the equation of a line perpendicular to y=x+12 that passes through (12,3) ?
I KNOW THE STEPS BUT I NEED TO KNOW IF M = 1 in y=mx+b
Answer:
[tex]y=-x+15[/tex]
Step-by-step explanation:
Slope-intercept form is written as [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
Any line perpendicular to a given line with slope [tex]m[/tex] has a slope of [tex]-\frac{1}{m}[/tex]. Therefore, the slope of a line perpendicular to [tex]y=x+12[/tex] is [tex]-\frac{1}{1}=-1[/tex].
We can now plug the coordinate it passes through into our slope-intercept form equation to solve for the y-intercept:
[tex]3=-1(12)+b,\\b=15[/tex]
Therefore, the equation of the line that is perpendicular to [tex]y=x+12[/tex] and passes through the coordinates [tex](12,3)[/tex] is [tex]\fbox{$y=-x+15$}[/tex].
HALP! WORD PROBLEM 20 points: A store has reduced the price by $20. How large must the next discount be so the new price will be half of the original price? Express your answer as a percent to the nearest tenth.
Answer:
HALP word is wrong all word is but HALP is wrong.
Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions
Someone good at math pls help me:)
Answer:
B) (-2,6)
Step-by-step explanation:
Where do the two lines intersect? That is where the solution is.
Hope this helps
Answer:
I believe the answer B ( I think)
please help i am adding you to brainliest, 100% promise. please look at the picture
Answer:
The answer is c
Step-by-step explanation:
your welcome
please help me will give brainliest
question 10n
Answer:
Yes.
Step-by-step explanation:
A fourth degree function is defined as a function with a multiplicity of four. This can be done with any number distinct roots less than or equal to four. If the three distinct roots given must be the only roots, we can choose any of the roots to square and make the function a fourth degree polynomial. Otherwise, we can add another root to make a fourth degree polynomial. Either way, it's possible.
The sum of two numbers is 120. Three times
their difference is 48. What are the numbers?
TERS A.5(C) A.1(A), A1(B)
F. 16, 120
G 36, 52
H 52,68
J 68, 84
Pleasss help thank you :)
Answer:
The answer is 68 and 52
Step-by-step explanation:
x + y = 120
3(x - y ) = 48
We have 3x + 3y = 360
and 3x - 3y = 48
Adding we have the following:
6x = 408
x = 68
y = 120-48 = 52
The diameter of a cylindrical water tank is 10ft and its height is 11 ft what's the volume of the tank used value 3.14and round to the nearest whole number
Answer:
863.5 ft³
Step-by-step explanation:
Given that :
Diameter, d = 10 ft
Height, h = 11 feets
Radius of tank, r = d/ 2 = 10ft / 2 = 5 ft
The volume of a cylinder is calculated using the relation :
Volume = πr²h
Volume = 3.14 * 5^2 * 11
Volume = 3.14 * 25 * 11
Volume = 863.5ft³
If it takes eight men ten hours to build a wall, how long would it take four men?
Answer:
20 bc if 8 men took 10 hours then 4 men would take double the time
Answer:
ha ha is it math question seriously or riddle if riddle the wall is already built by men they non time is taken by men.
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes. Over many past trips, what proportion (area) of times has the ferry reaches the island in A) less than 1 hour, 45 minutes? B) more than 2 hours, 5 minutes? C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Answer:
A) 0.10565
B) 0.33846
C)
Step-by-step explanation:
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes.
Note that, all units must be in minutes
We solve this question using z score formula
= z = (x-μ)/σ
where
x is the raw score
μ is the population mean = 2 hours
Converting to minutes
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Mean = 120 minutes
σ is the population standard deviation = 12 minutes
Over many past trips, what proportion (area) of times has the ferry reaches the island in
A) less than 1 hour, 45 minutes?
Converting 1 hour 45 minutes to minutes
60 minutes = 1 hour
Hence:
60 + 45 minutes = 105 minutes
For x < 105 minutes
= 105 - 120/12
= -1.25
Probability value from Z-Table:
P(x<105) = 0.10565
B) more than 2 hours, 5 minutes?
Converting 2 hours 5 minutes to minutes
Hence:
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 5 minutes = 125 minutes
For x < 125 minutes
z = 125 - 120/12
z = 0.41667
Probability value from Z-Table:
P(x<125) = 0.66154
P(x>125) = 1 - P(x<125) = 0.33846
C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Converting 1 hour, 50 minutes to minutes
= 60 minutes = 1 hour
Hence:
60 + 50 minutes = 110 minutes
For x = 110 minutes
= 110 - 120/12
= -0.83333
Probability value from Z-Table:
P(x = 110) = 0.20233
Converting 2 hours, 20 minutes to minutes
= 1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 20 minutes = 140 minutes
For x = 140minutes
z = 140 - 120/12
= 1.66667
Probability value from Z-Table:
P(x = 140) = 0.95221
find the value of the expression below x=2 3x
SOMEONE PLEASE ANSWER ASAP!!!!
the formula d=rt relates distance d to rate r and time t. Find how long it takes an airplane to fly 375 miles at 500 miles per hour.
Answer: 0.75 hours which is the same as 45 minutes
===========================================================
Explanation:
d = distancer = rate, which is another term for speedt = timeWe're told that the plane flies 375 miles and the speed is 500 miles per hour (mph).
This must mean that d = 375 and r = 500. Let's find t
d = r*t
d/r = t .... divide both sides by r
t = d/r
t = 375/500
t = 0.75
It takes 0.75 hours, which is the same as 45 minutes because
0.75*60 = 45
If the plane flew 500 miles and its speed was 500 mph, then it would take 1 hour, so it makes sense that the plane's time was under an hour if it only traveled 375 miles.
Helpppp pllzzz & thx
In circle B, find x if m A = 3x + 9 and m B = 8x – 4.
The value of x is 11.
Central Angle Theorem :It states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
From given figure, [tex]A=3x+9,B=8x-4[/tex]
[tex]\angle B=2\angle A\\\\8x-4=2(3x+9)\\\\8x-4=6x+18\\\\8x-6x=18+4\\\\2x=22\\\\x=22/2=11[/tex]
Learn more about the central angle of circle here:
https://brainly.com/question/3538263
The two basic kinds of rulers are______
Help me please find the slope and y-intercept
Answer:
Slope is 2.15
y-intercept is 2
Step-by-step explanation:
We need to find slope and y-intercept of the graph given.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Looking at the graph, we can find 2 points
Point 1 : (0,-2)
Point (2): (2,-2.3)
Now putting values and finding slope:
We have: [tex]x_1=0, y_1=-2, x_2=2, y_2=-2.3[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15[/tex]
So, we get slope = 2.15
Now, finding y-intercept
y-intercept can be found if we put x =0
Looking at the graph, when x =0, y = 2
So, y-intercept is 2
I need help on this question!! 15% of 9% is $___
Answer:
$1.35
Step-by-step explanation:
Answer:
0.0135
Step-by-step explanation:
Convert 15% to a decimal.
0.15 ⋅ 9%
Convert 9% to a decimal.
0.15 ⋅ 0.09
Multiply 0.15 by 0.09.
0.0135
The points (0,5) and (1,9) fall on a particular line. What is its equation in slope-intercept
form?
Answer:
y = 4x + 5
Step-by-step explanation:
First let's find its slope.
(5-9)/(0-1) = 4.
So far, in the equation we have y=4x+b.
As for the y-intercept, the coordinate (0,5) is the y-intercept.
Therefore, the equation in slope intercept form would be y=4x+5.
What is the equation of the line that passes through the points 1/2/3 and (-1,-1
a.y=-6x+5
b.Y=5/6X-1/6
C.Y=2/3X+1/5
D.y=6/5x+1/5
Answer:
(1, 2/3) (-1, -1) are the points. use the slope formula to find the slope y2-y1/x2-x1
(-1 - 2/3) / (-1 -1) (answer both sides of the division side)
-5/3 / -2 (divide)
slope = 5/6 (the slope)
plug in values you know into point-slope form (y -y1) = m(x-x1)
y - (-1) = 5/6 (x - (-1) (i chose the easier point to plug in. two neg. make a pos. )
y +1 = 5/6 (x +1) (use the distributive property)
y +1 = 5/6x+5/6 (subtract 1 from both sides)
y = 5/6x - 1/6 or B (this is the equation)
Step-by-step explanation:
I hope this helped :))
What is the y intercept of the following equation 3x-2y=4
Answer:
(0, -2)
i am pretty sure this is the answer
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and 11 3/4 feet. Find the length (in ft) of the fence needed to enclose the garden. (Enter your answer as a simplified mixed number.)
Given :
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and
11 3/4 feet.
To Find :
The length (in ft) of the fence needed to enclose the garden.
Solution :
First simplifying the given mixed numbers :
8 1/3 = 25/3 feet
17 1/4 = 69/4 feet
17 1/2 = 35/2 feet
11 3/4 = 47/4 feet
Now, length of fence needed to enclose the garden is :
[tex]L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet[/tex]
Hence, this is the required solution.
Please help!! Show your work!! Will mark brainliest!!
Answer:
17 degrees because 180-163=17
Step-by-step explanation:
let the picture be named as above picture:
angle D +163=180 (linear pair)
D=180-163
D=17⁰
Sum of exterior angle of polygon is 360⁰.
148+50+17+90+angleC=360
198+107+angleC=360
305+angleC=360
angleC=360-305
angleC=55⁰
I NEED HELP WITH 8TH GRADE MATH
Answer:
Are you doing Pythagorean theorem?
If not, what is your unit topic?
Answer:
Step-by-step explanation:
3. 17
4. 24
5. 24.21
6. 40
7. 15.81
8. 16
?????????????????????????????
Answer:
92°=180°/y° I think this is correct
It costs $60 to buy 10 hamburgers. At this rate, how much would it cost to buy 12 hamburgers? (Use proportions to help you).
i need this answer asap!!
Answer:
72
Step-by-step explanation:
I divided.$60 by 10 and got $6 per every burger, then I multiplied $6 x 12 and got $72.
Write the equation of the line with the given information.
Slope: -2
y-intercept: 5
Answer:
your mom
Step-by-step explanation:
Determine if the function represented by the table is linear. Explain.
х -10 -14 -18-24
у 6 10 16 24
Answer:
The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
Step-by-step explanation:
Given the table
x -10 -14 -18 -24
y 6 10 16 24
A linear function has a constant change in x and a constant change in y values.In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.
It is clear that there is a NO constant change in x
i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6
It is clear that there is a NO constant change in y
i.e. 10-6=4, 16-10 = 6, 24-16 = 8
Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.