Answer: m/sqrt(m^2)+1
Step-by-step explanation: if tan x = m, then the opposite angle is m and the adjacent angle is 1 so 1 squared plus m squared equals c squared. c = sqrt (1 + m^2)
sin x = opposite/hypotenuse = m/sqrt(m^2)+1
The value of sin x in terms of m is [tex]\frac{m}{\sqrt {m^2+1}}[/tex]
Trigonometry are identities used to express the sides and angles of a triangle.
According to SOH CAH TOA,
Tan θ = Opposite/Adjacent
Given that tan x = m
Opposite = m
Adjacent = 1
Get the hypotenuse using the pythagoras theorem
Hyp² = Opp² + Adj²
Hyp² = m²+1²
Hyp² = m²+1
Take the square root of both sides
√Hyp² =√m²+1
Hypotenuse = √m²+1
Next is to get sin x:
Sin x = Opposite/Hypotenuse
Sin x = [tex]\frac{m}{\sqrt {m^2+1}}[/tex]
Hence the value of sin x in terms of m is
[tex]\frac{m}{\sqrt {m^2+1}}[/tex]
Learn more on trigonometry ratio here: https://brainly.com/question/13729598
FACTORIZE
A(X)=(7-2x)(x+5)-(21-6x)(2x-1)
A(X)=(7-2x)(x+5)-(21-6x)(2x-1)
A(X)=(7x+35-2x²-10x)-(42x-21-12x²+6x)
A(X)= -2x²-3x+35+12x²+48x-21
A(X)=10x²+45x+14
Linda made $24 for making 8 baskets . If she made 12, baskets, how much money would she make? Use a model to explain your answer. Upload your model below.
help me find y........
Answer:
Step-by-step explanation:
a)
the sum of all angles in a quadrilateral must be 360º
y+88+25+35 = 360
y = 360=88-25-35
y = 212º
b)
the sum of all angles in an octagon must be 1080º
45+45+140+140+6y = 1080
6y = 1080-90-280
6y = 710
y = 710/6
y=~ 118,3º
To raise money for the music program, your choir sells programs for $.50 and CDs of its music for $5. It costs $.15 to produce each program and $1.75 for each CD. Everything sells for $400 yielding a profit of $265. How many CDs were made?
Answer:
60 CDs
Step-by-step explanation:
Given that :
Price of program = $0.5
Price of music = $5
Cost of production :
Program = $0.15 per program
CD = $1.75 per CD
Revenue made= $400
Profit made = $265
Number of CD produced =?
Let Number of CD's = x and program = y
$(0.5y + 5x) = 400
Y = (400 - 5x) / 0.5
y = 800 - 10x
Production :
$(1.75x + 0.15y)
Total cost of production - Revenue made = profit
(1.75x + 0.15y) - (5x + 0.5y) = 265
1.75x + 0.15y - 5x - 0.5y = 265
1.75x - 5x 0.15y - 0.15y = 265
3.25x + 0.35y = 265 - - - (2)
Put y = 800 - 10x in (2)
3.25x + 0.35y = 265
3.25x + 0.35(800 - 10x) = 265
3.25x + 280 - 3.5x = 265
-0.25x = - 15
x = 15/ 0.25
x = 60
Need help with these types of questions
Answer:
i think it should be B...
Answer:
I’m brainly tester and this is a testing answer
Step-by-step explanation:
Test test tedt
what is the sum of 9a+12
Answer:
3(3a+4)
Step-by-step explanation:
Answer:
I think you cannot add 9a + 12 because 12 does not have a letter in tonces, it will stay the same
Step-by-step explanation:
veronica made 164 brownies. If Veronica sold half of the brownies that she made, how many did she sale?
Answer:
She sold 82 brownies
Step-by-step explanation:
164 / 2 = 82
82 x 2 = 164
The number of brownies veronica sale is 82 brownies.
We are given that;
Number of brownies made= 164
Now,
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
To find out how many brownies Veronica sold, we need to divide the total number of brownies she made by 2.
This is because half of something means one part out of two equal parts. Using this method, we get:
[tex]$\frac{164}{2} = 82$[/tex]
Therefore, by unitary method the answer will be 82 brownies.
Learn more about the unitary method, please visit the link given below;
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can someone please help me winner gets (Brainllest)
Answer:
For the first one wouldnt it be like:
ht=10(r)+5
Step-by-step explanation:
A contractor needs to buy nails to build a house. The nails come in small boxes and
large boxes. Each small box has 200 nails and each large box has 400 nails. The
contractor bought twice as many small boxes as large boxes, which altogether had
3200 nails. Graphically solve a system of equations in order to determine the number
of small boxes purchased, x, and the number of large boxes purchased, y.
Here is your system of equations:
200x + 400y = 3200
y = 2x
Now plug into your calculator to see the graph.
Where the lines cross each other is the point that shows the solution.
For any linear function f(x) = mx + b, when does 5f(x) = f(5x) + 5? A. when b = 0 B. when b = 54 C. when b = 5 D. always
Answer:
b = 5/4
Step-by-step explanation:
Equations
Given the function:
[tex]f(x)=mx+b[/tex]
It's required to find the value of b such that:
[tex]5f(x)=f(5x)+5[/tex]
Substituting:
[tex]5(mx+b)=5mx+b+5[/tex]
Operating:
[tex]5mx+5b=5mx+b+5[/tex]
Simplifying:
[tex]5b=b+5[/tex]
Subtracting b:
[tex]4b = 5[/tex]
Dividing by 4:
b = 5/4
Help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Allen is in a road trip he has travelled 210 miles in 3 hours if he continues to drive at this rate how many hours will it take him to drive 525 miles
Answer:
15
Step-by-step explanation:
Answer:
7.5 hours
Step-by-step explanation:
210 dived by 3= 70
So, 525 dived by 70= 7.5 hours
Brainliest?
There is a elephant shaped weather vane at the top of a corn dryer tower that is 45 m high. If the weather vane weighs 190 N, wjat is the potential energy that the wether vane has?
Solution :
Given :
Height of the tower , h = 45 m
Weight of the weather vane, mg = 190 N
So the potential energy possessed by the weather vane is given by
E = m x g x h
where, E is potential energy
m is mass
g is acceleration due to gravity (taken as 10 m/s2)
h is height
Therefore,
E = m x g x h
E = (mg) x h
E = 190 x 45
E = 8550 J
A rectangular swimming pool is surrounded by a deck as shown. The area (in square feet) of the pool is represented by x^2-10x+16. a. Write a binomial that represents the width of the pool. b. Find the perimeter of the pool when the width of the deck is 17 feet.
Answer:
Step-by-step explanation:
First we need to factorize the given area of the rectangle as shown;
Given
A(x) = x^2-10x+16
Factorize
A(x) = x²-8x-2x+16
A(x) = (x²-8x)-(2x+16)
A(x) = x(x-8)-2(x-8)
A(x) = (x-2)(x-8)
Since area of a rectangle = length ×width
Hence the binomial that represents the width of the pool is w(x) = x-2
b) If the width of the deck is 17feet
Width = x-2
17 = x-2
x = 17+2
x = 19feet
Get the length
Length = x-8
Length = 19-8
Length = 11
Get the perimeter
P = 2(L+W)
P = 2(17+11)
P =2(28)
P = 56feet
Perimeter of the deck is 56feet
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
The slope of 8 is 0 and the slope of 9 is undefined
If x = 0 and y < 0, where is the point (x, y) located?
Quiz 3-3 Parallel and Perpendicular Lines on the Coordinate Plane (Gina Wilson All Things Algebra 2014-2019) need these for a quiz please!
Answer:
14. [tex]y = -2x -1[/tex]
15. [tex]y = -\frac{3}{4}x +3[/tex]
16. [tex]y= 4x + 9[/tex]
17. [tex]y = -\frac{5}{3}x -2[/tex]
18. [tex]y= -\frac{2}{3}x -5[/tex]
19. [tex]y = 4x -3[/tex]
20. [tex]y = -3x -7[/tex]
Step-by-step explanation:
Solving (14):
Given
[tex](x_1,y_1) = (-7,13)[/tex]
[tex]Slope (m) = -2[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 13 = -2(x -(-7))[/tex]
[tex]y - 13 = -2(x +7)[/tex]
[tex]y - 13 = -2x -14[/tex]
Collect Like Terms
[tex]y = -2x -14 + 13[/tex]
[tex]y = -2x -1[/tex]
Solving (15):
Given
[tex](x_1,y_1) = (-4,6)[/tex]
[tex]Slope (m) = -\frac{3}{4}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 6 = -\frac{3}{4}(x - (-4))[/tex]
[tex]y - 6 = -\frac{3}{4}(x +4)[/tex]
[tex]y - 6 = -\frac{3}{4}x -3[/tex]
Collect Like Terms
[tex]y = -\frac{3}{4}x -3 + 6[/tex]
[tex]y = -\frac{3}{4}x +3[/tex]
Solving (16):
Given
[tex](x_1,y_1) = (-5,-11)[/tex]
[tex](x_2,y_2) = (-2,1)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1 - (-11)}{-2 - (-5)}[/tex]
[tex]m = \frac{1 +11}{-2 +5}[/tex]
[tex]m = \frac{12}{3}[/tex]
[tex]m = 4[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x -(-5))[/tex]
[tex]y +11 = 4(x+5)[/tex]
[tex]y +11 = 4x+20[/tex]
Collect Like Terms
[tex]y= 4x + 20 - 11[/tex]
[tex]y= 4x + 9[/tex]
Solving (17):
Given
[tex](x_1,y_1) = (-6,8)[/tex]
[tex](x_2,y_2) = (3,-7)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-7 - 8}{3- (-6)}[/tex]
[tex]m = \frac{-7 - 8}{3+6}[/tex]
[tex]m = \frac{-15}{9}[/tex]
[tex]m = -\frac{5}{3}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 8 = -\frac{5}{3}(x -(-6))[/tex]
[tex]y - 8 = -\frac{5}{3}(x +6)[/tex]
[tex]y - 8 = -\frac{5}{3}x -10[/tex]
Collect Like Terms
[tex]y = -\frac{5}{3}x -10 + 8[/tex]
[tex]y = -\frac{5}{3}x -2[/tex]
18.
Given
[tex](x_1,y_1) = (-6,-1)[/tex]
[tex]y = -\frac{2}{3}x+1[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = m_2[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m = -\frac{2}{3}[/tex]
and
[tex]m_1 = m_2 = -\frac{2}{3}[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-1) = -\frac{2}{3}(x - (-6))[/tex]
[tex]y +1 = -\frac{2}{3}(x +6)[/tex]
[tex]y +1 = -\frac{2}{3}x -4[/tex]
[tex]y= -\frac{2}{3}x -4 - 1[/tex]
[tex]y= -\frac{2}{3}x -5[/tex]
19.
Given
[tex](x_1,y_1) = (-2,-11)[/tex]
[tex]y = -\frac{1}{4}x+2[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = -\frac{1}{m_2}[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m_2 = -\frac{1}{4}[/tex]
and
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{-1}{4}[/tex]
[tex]m_1 = -1*\frac{-4}{1}[/tex]
[tex]m_1 = 4[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
[tex](x_1,y_1) = (-2,-11)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x - (-2))[/tex]
[tex]y +11 = 4(x +2)[/tex]
[tex]y +11 = 4x +8[/tex]
Collect Like Terms
[tex]y = 4x + 8 - 11[/tex]
[tex]y = 4x -3[/tex]
20.
Given
[tex](x_1,y_1) = (-10,3)[/tex]
[tex](x_2,y_2) = (2,7)[/tex]
First, we need to calculate the slope of the given points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{7 - 3}{2 - (-10)}[/tex]
[tex]m = \frac{7 - 3}{2 +10}[/tex]
[tex]m = \frac{4}{12}[/tex]
[tex]m = \frac{1}{3}[/tex]
Next, we determine the slope of the perpendicular bisector using:
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{1}{3}[/tex]
[tex]m_1 = -3[/tex]
Next, is to determine the coordinates of the bisector.
To bisect means to divide into equal parts.
So the coordinates of the bisector is the midpoint of the given points;
[tex]Midpoint = [\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2)][/tex]
[tex]Midpoint = [\frac{1}{2}(-10+2),\frac{1}{2}(3+7)][/tex]
[tex]Midpoint = [\frac{1}{2}(-8),\frac{1}{2}(10)][/tex]
[tex]Midpoint = (-4,5)[/tex]
So, the coordinates of the midpoint is:
[tex](x_1,y_1) = (-4,5)[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1: [tex]m_1 = -3[/tex] & [tex](x_1,y_1) = (-4,5)[/tex]
[tex]y - 5 = -3(x - (-4))[/tex]
[tex]y - 5 = -3(x +4)[/tex]
[tex]y - 5 = -3x-12[/tex]
Collect Like Terms
[tex]y = -3x - 12 +5[/tex]
[tex]y = -3x -7[/tex]
Hey luvs I need help with this please help me
Answer:
area of the big triangle is QS*RT, where we know the QS
so we need to derive the area of big triange
the big triange is sum of the larger triangle (QT*RT) + smaller one (TS*RT)
so RT*(5+2.2)=RT(5)+RT(2.2)
the rest is simple to solve
Step-by-step explanation:
need help. pls help. i suck at math. math is a no no for me. help me pls.
Answer:
A5#A
Step-by-step explanation:
Una función cuadrática es de la forma f(x)=ax^2+bx+c, donde a, b y c son número reales y a es diferente de cero. De acuerdo con este enunciado cual no es una función cuadrática. * f(x)=3x^2+12x+5 f(x)=x^2+x+1 f(x)=5x^2+8x f(x)=5x+3
Answer:
option (4)
Step-by-step explanation:
The general form of a quadratic function is given by :
[tex]f (x) = ax^ 2 + bx + c[/tex]
Where a,b and c are real numbers and a is nonzero.
Option (1)
[tex]f (x) = 3x^ 2 + 12x + 5[/tex]
It is a quadratic function. Here, a = 3, b = 12 and c = 5
Option (2),
[tex]f (x) = x^ 2 + x + 1[/tex]
It is a quadratic function where a = 1, b = 1 and c =1
Option (3),
[tex]f(x)=5x^ 2 + 8x[/tex]
It can also be written as :
[tex]f(x)=5x^ 2 + 8x+0[/tex]
It is a quadratic function where a = 5, b = 8 and c = 0
Option (4),
It can also be written as :
f(x) = 5x + 3
It is a linear function. It is not a quadratic function.
Hence, option (4) is the correct option. It is not a quadratic function.
A company charges an initial fee plus an hourly rate to rent scooters. This table
shows the total cost to rent a scooter for different amounts of time.
Hours
Total Cost
3=$25
5=$35
7=$45
What is the hourly rate (in dollars) that the company charges to rent a scooter?
Answer:10
Step-by-step explanation: it adds 10 every 2 hours
The hourly rate is $5 per hour that the company charges to rent a scooter.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
Given that,
Company charges initial fees, and hourly rate to rent scooter,
Also given,
Cost of scooter for 3 hours = $25,
Cost of scooter for 5 hours = $35,
And cost of scooter for 7 hours = $45
From the given information,
The cost of scooter for 2 hours = $10
Cost of scooter for 1 hour = $5
Hourly rate of scooter that company charges to rent a scooter is $5.
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The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. If the total cost to carpet an office is $810, how many square feet is the office?
Answer:
11.11 square yardStep-by-step explanation:
Step one:
given data
charges=$90
installation=$9 per square yard
total cost of installation= $810
let x represents the number of square feet
Step two:
The expression for the installation cost is given as
810=9x+90------------1
solve for x, collect like terms
810-90=9x
720=9x
divide both sides by 9 we have
x=720/9
x=11.11 square yard
Watch one is the right one
Answer:
I would say A and E would be it.
Step-by-step explanation:
Solve the equation below for : y.6x – 3y = 36
A. y = 2x – 12
B. y = 12 - 2x
C.y = 1/2 x + 6
D. y= 6 - 2x
Hi there! :)
[tex]\large\boxed{A. \text{ } y = 2x - 12}[/tex]
6x - 3y = 36
Solve for y:
begin isolating by subtracting both sides by 6x:
6x - 6x - 3y = 36 - 6x
-3y = 36 - 6x
Divide both sides by -3 to solve for y:
(-3y) / (-3) = (36 - 6x)/ (-3)
y = -12 + 2x
Rearrange:
y = 2x - 12, or choice A.
Find the angle, in radians, in the figure below if S = 8 and r = 6.
(view image)
precalc help
Answer:
Value of theta Ф = 1.33 radians
Step-by-step explanation:
We are given :
S= 8
r = 6
We need to find angle Ф
The formula used is: S=rФ
Finding theta Ф by putting values in formula:
[tex]S=r\theta\\\theta=\frac{S}{r}\\ \theta=\frac{8}{6}\\\theta=1.33[/tex]
So, value of theta Ф = 1.33 radians
Yoo how yall doinnnnn
Answer:
pretty good tired of the virus stuff but good
Step-by-step explanation:
Answer:
Im great... how bout you?
Step-by-step explanation:
Solve for c.
a (b – c) = d
a) c= d - ab/a
b) c= ab – d/b
c) c= ab – d/a
d) c= ab + d/а
Answer:
C) c=ab-d/a
Step-by-step explanation:
just took the test
Solve: h + 12.6 = -12.6 *
Answer:
h = -25.2
Step-by-step explanation:
To solve the equation, you want to isolate the h variable. To do this, move 12.6 to the other side of the equation. Since you were adding on the left side, use the inverse operation, subtracting, on the right. Simplify the result to get the answer.
h + 12.6 = -12.6
h = -12.6 - 12.6
h = -25.2
2500 cm are equal to how many meters
Answer:
25
Step-by-step explanation:
divide the length value by 100.
Solve 17 < 5x – 8 < 22. How many integer solutions are there?
Answer:
0
Step-by-step explanation:
To find the number of integer solutions there are to the inequality, we need to separate [tex]x[/tex] so it is on its own.
[tex]17<5x-8 < 22[/tex] (given inequality)
[tex]25 < 5x < 30[/tex] (add [tex]8[/tex] )
[tex]5 < x < 6[/tex] (divide by [tex]5[/tex] )
Since there are no integers between [tex]5[/tex] and [tex]6[/tex], it means there are 0 integer solutions for the inequality [tex]17 < 5x - 8 < 22[/tex].
Hope this helps :)