Answer:
Δy = 30 ft.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 17.5°
Hypothenus = 100 ft
Opposite = Δy =?
The value of Δy can be obtained by using sine ratio as follow:
Sine θ = Opposite / Hypothenus
Sine 17.5 = Δy / 100
Cross multiply
Δy = 100 × Sine 17.5
Δy = 30 ft
Earned income and capital gains (or "portfolio income") are acquired in different ways. Which statement describes how they are different?
Answer:
n
Step-by-step explanation:
Write 1/3 x^2 - 4x + 17 in vertex form
Answer:
f(x)=−4(x+ 41 ) 2 − 4 11
Explanation:
The given function is
f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3
To write the function is vertex form, we need to complete the square.
We first factor -4 to get:
f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3
Add and subtract the square of half the coefficient of x.
f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3
We factor the perfect square trinomial and simplify to get:
f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11
an architects cWhat is the domain of this relation?
(12, 5)
(20, 0)
(20, 20)
(–13, 0)
Answer:
Domain { -13,12,20 }
Step-by-step explanation:
The domain is the input values
Domain { -13,12,20 }
We list them in order from smallest to largest and do not list repeats
How can you solve X^2 +2x=-1
would the negative reciprocal of -8 be -1/8 or would it be postive?
help quickly pls area of a triangle: sine formula
Answer:
If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.
For the area why not use 1/2 * 20 to get the base.
Then the height would be 24 * sin 63 = 21.38
That would give an area of 213.8
Please answer it all this is very important
Answer:
6.)
The answer is 63 inches because this value is closer to the mean and while the data is positively skewed (as in the mean is greater than the median) it's not by that much.
7.)
This would mean that the data is symmetric. By this, I mean that there would have to be an equal amount of data on either side of the mean. For example, for every entry 2 units below from the mean there must be one 2 units above the mean and so on. There would also have to be many entries on the mean/median (so that it would also be the mode)
8.)
We can observe that there are no real outliers that would heavily influence the data and so we can just take the mean
the mean of student A is: (68+72+73+67)/4= 70
The mean of student B is: (74+73+73+74)/4=73.5
We can see that student A, on average, is closer to 70 than student B and can therefore conclude that student A is more percise
Please help me i'm struggling!
Answer:
y = [tex]\sqrt{x-5}[/tex]
This is the correct answer because I got it right.
help pleaseee
find the equation of the line passing through (-5, -4) and (13, 5)
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-4) / 13 - (-5)
9 / 18
1/2
y = 1/2x + b
-4 = 1/2(-5) + b
-4 = -5/2 + b
-3/2 = b
What is the median of this data set? Enter your answer as a decimal in the box median=
Median is the middle value.
Writing the values from smallest to largest you have :
1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8
There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.
The Median is 2/8
Answer:
2/8 is the median. In decimal, it is 0.25.
Happy learning!
--Applepi101
The triangle is isosceles find the length h of side x in simplest radical form with a rational denominator
Answer:
x = √3
Step-by-step explanation:
Find the diagram attached
Given
Opposite = √3
Adjacent = x
Acute angle theta = 45degrees
According to SOH CAH TOA;
tan theta = opp/adj
tan 45 = √3/x
x = √3/tan45
x = 1
x = √3
Hence the value of x in its simplest radical form is √3
What are the dimensions of the rectangle shown on the coordinate plane?
The base is 5 units and the height is 4 units.
Hope this helps! :)
In a right triangle, one angle measures x°, where sin xº 4/5
What is cos(90° - xº)?
==========================================================
Rule:
if A+B = 90, then cos(A) = sin(B) and sin(A) = cos(B)
This can be rephrased into cos(A) = sin(90-A) and sin(A) = cos(90-A)
We'll focus on the second case sin(A) = cos(90-A)
Simply replace A with x and we have the same idea.
---------
So,
sin(x) = cos(90-x)
cos(90-x) = sin(x)
cos(90-x) = 4/5
You can prove this by drawing out a right triangle as shown below.
Andy and Beth are walking at a constant pace around a circular track. At one point, Andy turn and walks at the same pace directly to the flag pole at the center of the track while Beth continues at the same pace around the track How far did Beth walk, in radians, after they separated?
Answer:
?
Step-by-step explanation:
how to solve 9r^6/5r^3g^2
Answer:
9r^6 - 3g^2 / 5
Step-by-step explanation:
I think this would be the answer. Sorry if I am incorrect :')
You dont have to tell me the answers for those, just what x equals, please.
1) (2x - 1)3 = 9 commutative 2) 3(1x) = 9
3) 6x - 1 = 9 4) 6x - 3 = 9 distributive
5) 3*2x - 3*1 = 9 distributive 6) 3(1 - 2x) = 9
What is the value of x? How do you know?
Answer:
go to photo math
Step-by-step explanation:
Simplify\left(2-\sqrt{3}\right)^2
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]
[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]
[tex] = 4 + 4 \sqrt{3} + 3[/tex]
[tex] = 7 + 4 \sqrt{3} [/tex]
Note:[tex] ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]
[tex] \sqrt{a} \times \sqrt{a} = a[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
If m>BFC = 8x+13 and m
Answer:
12x - 73
Step-by-step explanation:
DFE + CFD = 12x + 7
DFE + 90 = 12x + 7
DFE = 12x + 7 - 90
DFE = 12x - 83
therefore
DFE = AFB ( vertically opposite angles are equal)
AFB = 12x - 83
Find WX. Assume that segments which appear to be tangent are tangent.
Answer:
Step-by-step explanation:
Tangent from the point outside the circle are equal
WX = XY
7x - 29 = 2x + 16 {Add 29 to both sides}
7x = 2x + 16 +29
7x = 2x + 45 {Subtract 2x from both sides}
7x - 2x = 45
5x = 45 {Divide both sides by 5}
x = 45/5
x = 9
WX = 7x - 29
= 7*9 - 29
= 63 - 29
WX = 34
Need help ASAP DUE SOON PLEASE AND SHOW WORK ?!!!
Answer: 804.25
Step by step explanation:
PLEASE HELP AND ASAP!!!!
Find the mean of the given set of numbers. 1, 4, 2, 2, 6, 9
Answer:
4
Step-by-step explanation:
Answer:
There are several different means:
Arithmetic: 4 (This is most likely your answer.)
Geometric: 3.0862
Harmonic: 2.3736
Hope that this helps!
Can U pls Help Me pls
Answer:
angle x= 60
so it is in the ratio 1:2:√3
√3x=3
ie.x=√3/3
adjacent side=x=√3/4
Step-by-step explanation:
everything can be found in the picture
A marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles, and 5 green marbles. What is the probability that the marble is yellow?
express the following number in words; 3468729165
Answer:
three trillion four hundred and sixty eight million, seven hundred and twenty nine thousand and one hundred sixty five
Step-by-step explanation:
Which inequality represents “six times a number is less than negative
6x >-39
4
6 + x>-39
6x < -39
4
6x5-393
4
Answer:
6x < - 39 3/4
Step-by-step explanation:
If the height and radius of a cylinder are doubled, how will the volume of the cylinder be affected?
the volume will double
the volume will quadruple
the volume will increase by a factor of six
the volume will increase by a factor of eight
ANSWER QUICK PLEASE!!!
Hope this helps!!!
Have a great day!!!
The volume will increase by a factor of eight.
What is Volume of Cylinder?
The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder's volume is given by the formula, πr²h, where r is the radius of the circular base and h is the height of the cylinder.
Volume of Cylinder = πr²h
Put, r = 2R, h = 2H
New volume of Cylinder = π (2R)².2H
= π.4R².2H
= 8πR²H
= 8V
Thus, the volume will increase by a factor of eight.
Learn more about volume of cylinder from:
https://brainly.com/question/16788902
#SPJ2
find the slope! i have more to come so please help:(
=================================
Work Shown:
Rise = -3
Run = 2
Slope = rise/run = -3/2 = -1.5
----------------
Notes:
The rise and run correspond to the vertical and horizontal portions of the triangle shownThe rise is negative because we're going downhill when moving from left to right, so that also means the slope is negative. The run is always positive.Answer:
m = - 3 / 2
Rise : -3
Run : 2
Step-by-step explanation:
According to the picture,
first coordinate : ( 2 , 1 )
second coordinate : ( 4 , - 2 )
Formulae : m=(y2-y1)/(x2-x1)
Substituting,
m = ( - 2 - 1 ) / ( 4 - 2 )
m = - 3 / 2
If this helps you, please mark brainliest!
Solve 5x2-2x-8=0 using the quadratic formula.
Answer:
[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]
Step-by-step explanation:
The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].
In [tex]5x^2-2x-8=0[/tex], we can assign the values:
[tex]a[/tex] of 5[tex]b[/tex] of -2[tex]c[/tex] of -8Thus, we have:
[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]
Answer:
(1+√41)/5, (1-√41)/5
Step-by-step explanation:
quadratic formula is (-b±√(b^2-4ac))/2a
in this equation,
a = 5
b = -2
c = -8
plug in the values
(2±√(4 - 4(5)(-8))/10
(2±√(4 + 160)/10
(2±√(164)/10
(2±2√(41))/10
1. (2+2√41)/10
(1+√41)/5
2. (2-2√41)/10
(1-√41)/5
Solve the system of equations.
y = 2x
y = x2-8
O A. (2, 4) and (-4,-8)
O B. (-2,-4) and (-4,-8)
O C. (2, 4) and (4,8)
O D. (-2,-4) and (4,8)
Answer:
D
Step-by-step explanation: Time Stamp (6 9 10 32)
Easiest way is to graph both equation and look for the intersections see attached sreen shot
or solve by substitution
y = 2x
y = x²- 8
2x = x²- 8 solve for x
0 = x² - 2x - 8 factor
0 = (x - 4)(x + 2)
0 = 0 when x = 4 and -2
calculate the y values
y = 2x x = 4
y = 8 (4, 8)
y = 2x x = -2
y = -4 (-2, -4)
The answer ISN’T -9/5,3.
Don't have to explain, but if u want then to ahead.
Thank you! :)
Don't forget the square brackets.
=============================================
Work Shown:
[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]
note 1: I added 3 to all sides to undo the "-3" in the middle.
note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).
--------------------
From there, we convert from compound inequality notation to interval notation.
Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]
The square brackets say to include the endpoint.
So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]
x is any real number between -1.8 and 3, including both endpoints.
----------------------
It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.
If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]