tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =
Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =
Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
Which statement is not always true?
2x - y = 5
x + 3y = 7
What is the value of the system determinant?
A.) 5
B.) 6
C.) 7
9514 1404 393
Answer:
C) 7
Step-by-step explanation:
The determinant is the difference of the cross products of the coefficients.
D = (2)(3) -(1)(-1) = 6 +1 = 7
The system determinant is 7.
Answer:
C.) 7Step-by-step explanation:
#CarryOnLearning8. In Jack's class, 18 of the students are tall and 10 ere short in Michael
class, 54, students are tall and 30 are short which class has a
higher ratio of tall to short students.
Answer:
both class have the same ratio
Step-by-step explanation:
You can further prove this by multiplying 18 times 3 and getting 54, and 10 times 3 and getting 30.
PLEASE HELP I WILL GIVE 50 POINTS! IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!!!
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 10,125(1.83)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 9,638 18,794.10 36,648.50 71,464.58
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
Answer:
It looks like your first account increases linearly,
unless you have a typo and meant:
f(x) = 10,125(1.83)^x
the second
exponential and can be written as
g(r) = 9,638(1.95)^r
clearly g(r) has a higher percentage change since 1.95 > 1.83
a more interesting question might have been: When will the amount be the same?
10,125(1.83)^x = 9,638(1.95)^x
10,125(1.83)^x = 9,638(1.95)^x
(1.83)^x = .951901...(1.95)^x
take log of both sides and use log rules
xlog1.83 = log .951901... + log 1.95
x(log 1.83 - log 1.95) = log .951901...
x = .776..
check:
f(.776..) = 10,125(1.83)^.776.. = 1618410
g(.776..) = 9,638(1.95)^.776... = 16184.10
Step-by-step explanation:
Tyler has 240 cards in a collection. Of all of the cards, 1/3 are baseball cards, 1/6 are basketball cards, and 1/4 are football cards. The rest are hockey cards. How many of the cards are hockey cards?
Answer:
There are 60 hockey cards (1/4 of 240)
Step-by-step explanation:
1/3 of 240 is 80
1/6 of 240 is 40
1/4 of 240 is 60
80+40+60 = 180
240 - 180 = 60
What is the parallel slope
Answer:hv
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEE
Answer:
point A
because negstives go to the left so find -7 to the left abd its at point A
Answer:point a
Step-by-step explanation:It is point A because it is 2 points ahead of 5
x=0,100,200,300, y=3.5,38.5 73.5, 108.5
Answer:
3.573 ⋅ 0.5108 ⋅ 0.5
Step-by-step explanation:
Question 7 of 10
What is the surface area of the right cone below?
12
O A. 108units2
O B. 72 units2
O c. 45 units
D. 35 units2
SUBMIT
Answer:
the answer is c or 45pie Units
Step-by-step explanation:
The surface area of the right cone is,
⇒ SA = 45π units²
What is mean by Multiplication?The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of cone (r) = 3 units
Slant height of cone (l) = 12 units
Now, We know that;
The formula that is used to calculate the surface area of a cone is;
⇒ SA = πrl + πr²
Hence, We can substitute all the values we get;
⇒ SA = πrl + πr²
⇒ SA = π × 3 × 12 + π × (3)²
⇒ SA = 36π + 9π
⇒ SA = 45π units²
Thus, The surface area of the right cone is,
⇒ SA = 45π units²
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2.) Write a verbal expression that
represents the algebraic expression.
m/12
Answer:
A number divided by twelve
Step-by-step explanation:
Which trigonometric function is an odd function and why?
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and therefore cos(x) = cos(-x).
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and
therefore cos(-x) = cos(x)
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(x) = sin(-x).
Answer:
second choice is the answer or it can be
The correct answer is option B.
What is odd function?"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."
For given question,
Consider points A and B on the coordinate plane as shown in following image.
Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]
So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]
Let, AC = y, BC = -y and OC = m
Now, consider sine function
[tex]sin\theta=\frac{AC}{OA}\\[/tex]
⇒[tex]sin\theta=\frac{y}{r}[/tex] ........................(1)
And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]
⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]
⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex] .......................(2)
⇒ [tex]sin(-\theta)=-sin\theta[/tex] ......................(From (1) and (2))
Now, consider cosine function
[tex]cos\theta=\frac{OC}{OA}[/tex]
⇒ [tex]cos\theta=\frac{m}{r}[/tex] ...........................(3)
And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]
⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex] ...........................(4)
⇒ [tex]cos(-\theta)=cos\theta[/tex] ...........................(From (3), (4))
Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
Therefore, the correct answer is option B.
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will mark brainliest please help
Answer:
Step-by-step explanation:
2x-3 =-4x+3
6x = 6
x = 1
plug 1 into either eq. to see what "y" you get
2(1) - 3 = -1
so
(1, -1 )
Help!!
Find the area of the shaded region. Round to the nearest hundredth where
necessary. Show work
Answer:
look at the picture i have sent
The area of the shaded region is 192.325 m².
What is area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
Outer radius = 21/2 = 10.5 m
Inner radius = 10.5 - 3.5 = 7 m
So, Area of shaded region
= π( R² - r²)
= 3.14 (10.5² - 7²)
= 3.14 (110.25 - 49)
= 192.325 m²
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Find GH. Round to the nearest hundredth
Answer:
B
Step-by-step explanation:
32.08.
ffgyygyyuuidhyeyytttttrdcgrfhhtuhggi
Answer:
bit.^{} ly/3gVQKw3
Step-by-step explanation:
bit.^{} ly/3gVQKw3
Pls helpppppppppppppppppppppppppppp
Answer:
c
Step-by-step explanation: i did the test
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A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
Question 1 options:
A)
Can't be determined
B)
Obtuse
C)
Right
D)
Acute
Answer:
b) obtuse
Step-by-step explanation:
If this is a right triangle the hypotenuse would be
c² = 9² + 12²
c² = 81 + 144
c² = 225
c = √225
c = 15
Since the third side is 17 which is longer than 15
the triangle is obtuse
Answer:
obtuse
Step-by-step explanation:
Refer to matrix A and identify the matrix element a31.
3
–2
–1
7
===================================================
Explanation:
a31 means "the value in the third row, first column". That value is 7
As another example, a22 = 3 since 3 is in the second row, second column.
Another example: a12 = -1 because we're in the first row and second column.
This is a 3x2 matrix due to it having 3 rows and 2 columns.
Find the slope
15) (7,5), (13, 11)
A) -5
B) 5
C) -1
D) 1
Answer:
1
Step-by-step explanation:
when finding slope you use the formula
y2-y1 so you do 11 minus 5 which gets
____ you 6, over 13 minus 7 which
x2-x1 also gets you 6! So 6/6=1 which
means the slope should be 1. again im sorry if im wrong but I hope I could help TT
3b+4+10+6b-2
IREADY ANSWERS ONLY PLS
Answer: 9b+12
Step-by-step explanation:
Combine the sets if like terms meaning
4+10-2
And 3b+6b
3b+6b= 9b
4+10-2= 12
Since only one has one variable they aren’t like terms and they can’t be combined leaving u with 9b+12
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 12 mm. Answer in terms of pi
Answer:
I don't know what to look for
but area of sphere = 4πr²
4×π×12×12
576πmm³
volume of sphere= 4πr³
3
4/3π12×12
576/3π
= 192πmm³
Zayan is putting ribbon around a picture of her dog. The picture is 300 millimeters wide and 150 millimeters tall. How many meters of ribbon will she need?
Answer:
150mm*300mm is equal to 45000mm and 1m is equal to 1000mm therefore 45000mm/1000 is equal to 45m
Step-by-step explanation:
she need 45 m ribbon to put around dog picture
please help me with this equation
Answer: [tex]\dfrac{1}{16}x^{-5}y^{-2}z^{4}[/tex]
Step-by-step explanation:
Given
Expression is [tex]\left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0[/tex]
using the Exponent property that is
[tex][(a)^b]^c=a^{b\cdot c}\\a^x\cdot a^y=a^{x+y}[/tex]
Applying the above property
[tex]\Rightarrow \left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0=4^{-2}x^{-2}y^{-6}z^{4}\cdot x^{-3}y^4z^0\\\\\Rightarrow \left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0=4^{-2}x^{-2-3}y^{-6+4}z^{4+0}\\\Rightarrow 4^{-2}x^{-5}y^{-2}z^{4}=\dfrac{1}{16}x^{-5}y^{-2}z^{4}[/tex]
Please help I am so confused
Answer:
24 bottles per minute.
Step-by-step explanation:
We can see from the graph that the machine produced 24 bottles after one minute had passed. it made 48 when two minutes had passed and 72 after 3 minutes had passed. The number of bottles increases by 24 bottles every minute therefore the machine makes 24 bottles per minute.
How do i write 25.4 million
Step-by-step explanation:
[tex]25,400,000[/tex]
Answer:
25,400,000
Step-by-step explanation:
These box plots show the scores of students in three different schools on the same 10-point quiz
Which of the following statements is true?
PLS HELP ME
Answer:
Step-by-step explanation:
Which equation matches the tape diagram shown?
Find the value of x. Write your answer as a decimal.
Answer:
40.5
Step-by-step explanation:
x= ½(122-41)=½(81)= 40.5°
Pls help 10 ptsssssssssssss
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PLZ HELP ME WITH THIS I DON'T UNDERSTAND IT THANK YOU:)
You can register a pickup truck as a passenger vehicle if the truck is not used for commercial purposes and the weight of the truck with its contents does not exceed 8500 pounds.
a. Your pickup truck weighs 4200 pounds. Select an inequality that represents the number x of pounds your truck can carry and still qualify as a passenger vehicle. Then solve the inequality.
4200+x≤8500
x−4200≤8500
8500≥4200−x
8500≤x+4200
Question 2
The solution is
.
Question 3
b. A cubic yard of sand weighs about 1600 pounds. How many cubic yards of sand can you haul in your truck and still qualify as a passenger vehicle? Write your answer as a decimal. Do not round your answer.
You can haul at most
cubic yards of sand.
Answer:
a) 4200+x≤8500
_____________
x ≤ 4300
________________
b) 2.6875 or 2 ¹¹⁄₁₆ cubic yards.
__________________
4300 / 1600 = 2 ¹¹⁄₁₆ = 2.6875
For each ordered pair, determine whether it is a solution to 2x - 5y=11.
Is it a solution?
(x, y)
(3, -1)
(-7,-5)
(-9,4)
(4,2)
Answer:
(3, -1)
Step-by-step explanation:
The solution of the equation are (3, -1) and (-7, -5).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have Equation, 2x- 5y= 11.
To check each ordered pair is the solution of equation then we have put the value of x and y one by one in the given equation.
1. x =3 and y= -1
2(3)- 5(-1)
= 6 + 5
= 11
2. x= -7 and y=-5
= 2(-7) - 5(-5)
= -14 + 25
= 11
3. x= -9 and y= 4
= 2(-9)-5(4)
= -18 - 20
= -38
4. x = 4 and y= 2
= 2(4) - 5(2)
= 8 - 10
= -2
Thus, the solution of the equation are (3, -1) and (-7, -5).
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