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Explanation:
If sin(x) = 3/5, then cos(x) = 4/5 through the use of the trig identity
sin^2(x) + cos^2(x) = 1
This is assuming that x is in quadrant Q1.
Plug those values into the identity below and simplify.
sin(2x) = 2*sin(x)*cos(x)
sin(2x) = 2*(3/5)*(4/5)
sin(2x) = 24/25
Answer:
24/25
Step-by-step explanation:
Trig functions relate the angle of a triangle with the sides of that triangle (right triangle)
sin(x)= 3/5 (opposite/ hypotenuse) (25=9-x^2, using pythag. theorem, remaining side= 4)
now, cos(x)= 4/5
now, the double angle identity states:
sin2x= 2sinxcosx
so,
sin2x= 2 * (3/5) * (4/5) =
24/25
Please help me with this question, thanks.
Answer:
2.48×10^13 miles
Step-by-step explanation:
There are about (365.25 days)(86400 seconds/day) = 31,557,600 seconds in one year. There are 1609.344 meters in one mile. So, the conversion can be written as ...
(4.22 ly) (3×10^8 m/s) (3.15576×10^7 s/yr) / (1.609344×10^3 m/mi)
= 4.22×3×3.15576/1.609344×10^(8+7-3) mi
≈ 24.8×10^12 mi
4.22 light years is about 2.48×10^13 miles
Solve -4r + 18= 6 I need this equation
Answer:
r = 3Step-by-step explanation:
[tex]-4r + 18= 6\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\-4r+18-18=6-18\\\\\mathrm{Simplify}\\\\-4r=-12\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\\\frac{-4r}{-4}=\frac{-12}{-4}\\\\\mathrm{Simplify}\\\\r=3[/tex]
A wall Of a building is 34 inches wide, 14 inches is concrete, 12 inches is brick, and 8 inches is limestone. what fraction of the wall is brick?
Step-by-step explanation:
It is given that,
A building is 34 inches wide. Its 14 inches is concrete, 12 inches is brick, and 8 inches is limestone. We need to find the fraction of the wall is brick.
A fraction is in the form of x/y. y is total value and x is a part of y.
Here, 12 inches is brick. So, its fraction is :
[tex]F=\dfrac{12}{34}=\dfrac{6}{17}[/tex]
So, fraction of [tex]\dfrac{6}{17}[/tex] is the wall which is brick.
round 24.927 in two decimal places.
Answer:
24.93
Step-by-step explanation:
Rounding to two decimal places is the same as rounding to the nearest hundredth.
Locate the hundredth:
24.927
Check the number to the right of it:
24.927
If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.
7 is greater than 5. So, we round up.
24.927 ≈ 24.93
2.94 is the answer.
What are the places in a decimal?The first digit after the decimal represents the tenth place. the subsequent digit after the decimal represents the hundredth area. The closing digits retain to fill within the vicinity values till there are no digits left.
What does preserving 2 decimal places suggest?Rounding a decimal quantity to two decimal locations is the same as rounding it to the hundredth place, that's the second area to the right of the decimal factor. as an instance, 2.83620364 may be spherical to two decimal locations as 2.94, and 0.7035 can be spherical to 2 decimal places as zero.70.
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double the sum of x and 5
Answer:
2(x+5) = 2x+10
Step-by-step explanation:
2(x+5)
= 2*x + 2*5
= 2x+10
A bottle of hot sauce is 3/4 full. Leigh uses 2/9 of the contents of the hot sauce bottle for lunch. How much of a full bottle of hot sauce did Leigh use for lunch?
Leigh uses [tex]\frac{1}{6}[/tex] of full bottle of hot sauce
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given,
A bottle of hot sauce is 3/4 full.
Leigh uses 2/9 of the contents of the hot sauce bottle for lunch.
Therefore
How much of a full bottle of hot sauce did Leigh use for lunch = [tex](\frac{3}{4}).(\frac{2}{9})[/tex]
= [tex]\frac{1}{6}[/tex]
Hence, Leigh uses [tex]\frac{1}{6}[/tex] of full bottle of hot sauce
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I need help where do I plot the point help asap please
Answer:
Plot the point at the minimum of the graph.
Step-by-step explanation:
If you keep moving the graph down, pick the point with the lowest y value that is still on the blue.
Simplify the expression: 42 + 8 ÷ 2.
its 46.
42+8/2
42+4
=46
Calculate the total surface area of a rectangular box 10cm long, 8cm wide and 6cm tall.
Answer:
The answer is
376 cm²Step-by-step explanation:
Since the rectangular box is a cuboid,
Total surface area of a cuboid is given by
2( lw + wh + lh)Where
l is the length
w is the width
h is the height
From the question
l = 10 cm
w = 8cm
h = 6cm
Substitute the values into the above formula
That's
Total surface area of the rectangular box is
2 [ (10)(8) + (8)(6) + (10)(6) ]
2 [ 80 + 48 + 60 ]
2( 188)
We have the final answer as
Total surface area = 376 cm²Hope this helps you
arrange the following fraction in ascending order 2/3 1/6 3/5
Answer:
2/3 3/5 1/6
Step-by-step explanation:
look at the denominators and arrange from least to greater
How many time is 0.02 contained in 807 or 80
Answer:
0.02 appears 40,350 times in 807 & 4000 times in 80
Step-by-step explanation:
807/0.02=40,350
80/0.02=4000
Binomial (-x + 3) and trinomial (-2x2 + 5x + 6) are the factors of what polynomial? (Hint: 4 and 2 are factors of 8. Multiply.)Binomial (-x + 3) and trinomial (-2x2 + 5x + 6) are the factors of what polynomial? (Hint: 4 and 2 are factors of 8. Multiply.)Binomial (-x + 3) and trinomial (-2x2 + 5x + 6) are the factors of what polynomial? (Hint: 4 and 2 are factors of 8. Multiply.)
Answer:
2x^3-11x^2+9x+18
Step-by-step explanation:
By multiplying both the binomial and the trinomial given, we obtain a polynomial which contains both as factors. We notice as well that the given trinomial doesn't have 3 as a root (so there is no multiple root x = 3 in the product we obtain:
[tex](-x+3)\,(-2x^2+5x+6)=2\,x^3-5x^2-6x-6x^2+15x+18=2x^3-11x^2+9x+18[/tex]
Then, this new polynomial
[tex]2x^3-11x^2+9x+18[/tex]
has both given polynomials as factors.
What are the explicit equation and domain for a geometric sequence with a first term of 5 and a second term of −10? an = 5(−2)n − 1; all integers where n ≥ 1 an = 5(−2)n − 1; all integers where n ≥ 0 an = 5(−15)n − 1; all integers where n ≥ 1 an = 5(−15)n − 1; all integers where n ≥ 0
Answer:
A
Step-by-step explanation:
The standard form of an explicit formula for a geometric sequence is given by:
[tex]x_n=a(r)^{n-1}[/tex]
Where n is the nth term, a is the initial term, and r is the common ratio.
We are given that the first term is 5. Hence, a = 5.
Also, we are given that the second term is -10. Therefore, the common ratio r is -2, because we multiply the first term by -2 to acquire -10.
Substituting yields:
[tex]x_n=5(-2)^{n-1}, n\geq 1, n\in\mathbb{Z}[/tex]
(Note: Z means the set of all integers. This is required because the term number can only be positive starting from one. For instance, we can't have the 0th term or the 1.5th term.)
In conclusion, the answer is A.
19. If the polynomial P(x) = 27x^3 + 9x^2 – 3x – 10 is divided by 3x – 2, the remainder will be
options:
A) 1
B) 2
C) 3
D) 0
Answer:
D) 0
Step-by-step explanation:
Remainder is zero as 10 is fully divisible by 2.
Proof:
27x^3 + 9x^2 – 3x – 10 = (3x -2) (9x^ 2 +9x+5)Correct choice is D) 0
PLEASE HELP!!!! what is the value of 6n - 2 when n = 3?
A: 7
B: 6
C: 16
D: 12
Answer: C, 16
Step-by-step explanation:
6n - 2 when n = 3
Replace n with 3
1. 6(3) -2
2. 6(3) =18
3.18-2 = 16
Answer is 16.
Answer: C: 16
Step-by-step explanation: 6*3 =18. 18-2=16
I need help with #66 and #68
Step-by-step explanation:
66. Δy = -3.4 Δx
Δy/Δx = -3.4
The slope of the line is -3.4. Slope-intercept equation of the line is:
y = -3.4x + b
Plug in the given point to find b:
2 = -3.4(4) + b
b = 15.6
Therefore, the equation is y = -3.4x + 15.6.
Use the equation to find the y coordinates.
[tex]\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right][/tex]
68. Repeat the same steps as 66.
Δy = -1.7 Δx
Δy/Δx = -1.7
The slope of the line is -1.7. Slope-intercept equation of the line is:
y = -1.7x + b
Plug in the given point to find b:
3 = -1.7(-7) + b
b = -8.9
Therefore, the equation is y = -1.7x − 8.9.
Use the equation to find the x or y coordinates.
[tex]\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right][/tex]
rounds the capacity of a 1.85 liter jug to the tenth
Answer:
1.9 liters.
Step-by-step explanation:
The hundredths digit is 5 so we add 1 to the tenths digit.
Answer: 1.9 liter
Step-by-step explanation: the tenth is the first digit after the decimal point. Anything greater than it equal to 5 will be rounded up. So 1.85 is rounded up to 1.9
Numbers 2-4 Will choose brainliest
Answer:
2. 9, 8+9
3. 17-8=9, 17, 8, 9
4. 13-7=6
Step-by-step explanation:
3-7, please help BRAINLEST
Answer:
s =2
Step-by-step explanation:
__3s__ = __6__
3 3
s = 2
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------
Answer: s = 2.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]6 = 3s[/tex]
Divide both sides by 3.
[tex]\frac{6}{3} = s[/tex]
Divide 6 by 3 to get 2.
[tex]2 = s[/tex]
Swap sides so that all variable terms are on the left hand side.
[tex]s = 2[/tex]
M is the midpoint of LN. What is the measure of LM= 3x and LN= 2x + 2, find LM.
Answer:
LM = 1.5
LN = 3
Step-by-step explanation:
From the question given:
M is the midpoint of LN
LM = 3x
LN= 2x + 2
LM =.?
Next, we shall determine the value of x. This is illustrated below:
Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e
LN /2 = LM
With the above formula, we can obtain the value of x as follow:
LN= 2x + 2
LM = 3x
x =..?
LN /2 = LM
2x + 2/ 2 = 3x
Cross multiply
2 × 3x = 2x + 2
6x = 2x + 2
Collect like terms
6x - 2x = 2
4x = 2
Divide both side by 4
x = 2/4
x = 0.5
Finally, we can obtain LM and LN as follow:
LM = 3x
x = 0.5
LM = 3 × 0.5
LM = 1.5
LN= 2x + 2
x = 0.5
LN = 2(0.5) + 2
LN = 1 + 2
LN = 3
Solve the system of equations
Y = 4x - 11
Y = x + 13
x = ??????
Y = ??????
Please tell me what Y and X are first..
pls help im dumb so yeahhhhh
Answer: they use 2 cups of pineapple juice for every cup of orange juice
Arnold deposited $732.19 in a savings account that earns 2.7% simple interest. What is Arnold's account balance after seven years?
Answer:
Step-by-step explanation:
$870.57
use equation total = Principal(1 + rate*time)
Let f(x) = 1/x+2 and g (x) = 1/x-3. Find (f/g) (x). Assume all appropriate restrictions to the domain. help!!!!
Answer:(f/g)(x)=(1+2x)/(1-3x) where x<>0
Step-by-step explanation:
f(x)= 1/x+2= (1+2x)/x , x<>0
g(x)=1/x-3=(1-3x)/x , x<>0
=>f(x)/g(x)= (1+2x)/(1-3x) , x<>0
A line segment (DE) joining the midpoints of two sides of a triangle is
parallel
to the third sid
Answer:
Given = A △ABC in which D and E are the mid-points of side AB and AC respectively. DE is joined .
To Prove : DE || BC and DE = 1 / 2 BC.
Const. : Produce the line segment DE to F , such that DE = EF. Join FC .
Proof : In △s AED and CEF, we have
AE = CE [∵E is the mid point of AC]
∠AED = ∠CEF[vert. opp.∠s]
and DE = EF [by construction]
∴ △AED ≅ △CEF [by SAS congruence axiom]
⇒ AD = CF ---(i)[c.p.c.t.]
and ∠ADE and ∠CEF ---(ii) [c.p.c.t.]
Now, D is the mid point of AB.
⇒ AD = DB ---(iii)
From (i) and (iii), CF = DB ---(iv)
Also, from (ii)
⇒ AD = || FC [if a pair of alt. int. ∠s are equal then lines are parallel]
⇒ DB || BC ---(v)
From (iv) and (v), we find that DBCF is a quadrilateral such that one pair of opposite sides are equal and parallel.
∴ DBCF is a ||gm
⇒ DF || BC and DF = BC [∵opp side of ||gm are equal and parallel]
Also, DE = EF [by construction]
Hence, DE || BC and DE = 1 / 2 BC
-13+(-4)÷2-3[-{(-3)×(-7)-(3+5)}]
Please help me ?! ❤️❤️
Answer:
Hey there!
(3,5) is your answer.
Hope this helps :)
Answer:
its (3,5)
hope it helps
The line graph shows the average daily cost, rounded to the nearest 10 cents, that a homeowner paid for electricity each month of a year. In which month(s) was the average daily cost less than $2.00? May, September September only May only March, April, May
Answer:
Only May
1.09 Statistical Graphs 1_Optional Quiz
A graph is a way to represent a lot of data in such a visual format. The month in which the average daily cost is less than $2.00 is may only.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
In order to know the month in which the average daily cost is less than $2.00, we need to find the dot which is below 2.
Now, if we look at the graph as shown below, the point that will be less than 2 is may.
Hence, the month in which the average daily cost is less than $2.00 is may only.
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Three white balls and three black balls are distributed in two urns in such a way that each contain three balls. We say that the system is in state i, i=0,1,2,3, if the first urn contains i white balls. At each step, we draw one ball from each urn and place the ball drawn from the first urn into the second, and conversely with the ball from the second urn. Let Xn denote the state of the system after the nth step. Explain why {Xn, n=0 ,1, 2} is a Markov chain and calculate its transition probability matrix.
Answer:
Following are the answer to this question:
Step-by-step explanation:
In-state 0, it has urns of the 100% chance of shifting towards state 1 because a colored ball must be substituted.
In the [tex]state 1: \frac{1 \ white}{2 \ black} \ \ \ and \ \ \frac{2 \ white}{1 \ black}[/tex]
The probability to select White from both the probability to select Black from both are 2/9, therefore there are 4/9 possibilities to remain in State 1.
It is probable which white from both the beginning is selected and black from the second, so that 1/9 probability of 0.
The probability is 4/9 that the first black and the second white will be chosen and 4/9 possibility will be made to state 2.
In the [tex]state 2: \frac{2 \ white}{1 \ black} \ \ \ and \ \ \frac{1 \ white}{2 \ black}[/tex]
This is essentially a state 1 mirror image because identical claims are used for reverse colors.
In-State 3, the urns are 100% likely to revert to State 2.
It is the representation of matrix M is, therefore:
[tex]( ..0. ..1. ..0. ..0. )\\\\( \frac{1}{9} \frac{4}{9} \frac{4}{9}.. 0. )\\\\( ..0. \ \frac{4}{9} \ \frac{4}{9} \ \frac{1}{9})\\\\( ..0. ..0. ..1. ..0. )\\\\So, \\ X_n = M \times X_{n}-1 \\\\Or\\X_n = M^n \times X_0[/tex]
If y varies inversely with x and y=11 when x=3, find the equation that relates x and y.
Answer:
y = [tex]\frac{33}{x}[/tex]
Step-by-step explanation:
Use the inverse relationship equation, y = [tex]\frac{k}{x}[/tex]
Plug in what we know to solve for k:
11 = [tex]\frac{k}{3}[/tex]
33 = k
Plug 33 in as k to find the equation:
The equation will be y = [tex]\frac{33}{x}[/tex]