============================================================
Explanation:
Refer to the diagram below. I've added the variables b, c and d to the drawing you posted.
The variable b is an inscribed angle, while variables c and d are arc measures.
For any inscribed quadrilateral, the opposite angles always add to 180. They are supplementary angles. This means the 110 degree angle and the angle b add to 180, so,
110+b = 180
b = 180-110
b = 70
Inscribed angle b is 70 degrees.
Next, we apply the inscribed angle theorem. This theorem says that the inscribed angle doubles in value to get its corresponding central angle measure (and therefore it's arc measure as well).
In other words, inscribed angle b = 70 doubles to 2*70 = 140 degrees. This represents the combination of arcs c and d. Therefore, c+d = 140. Note how inscribed angle b cuts off this longer arc.
We don't need to find the measure of arc c or arc d individually. We just need to find the measure of arc 'a'.
The four arc measures (161, a, c and d) all combine to a full 360 degree circle. Let's add those four parts, and set that equal to 360. We'll keep in mind that c+d = 140 as well.
So...
a+c+d+161 = 360
a = 360-161 - (c+d)
a = 360-161 - (140) ..... replaced "c+d" with "140"
a = 59
Arc 'a' is 59 degrees
Give an angle of rotation centered at the origin that sends point P to a location whose (z,y) coordinates satisfy the given conditions. 1. z>0 and y < 0 2. z <0 and y> 0 3. y < 0 and z < 0 YA P x
The angles of rotation for the given conditions are:
1. π radians (180 degrees)
2. π/2 radians (90 degrees)
3. 3π/2 radians (270 degrees)
To find an angle of rotation centered at the origin that sends point P to a location with the given conditions, we can use trigonometric concepts.
1. For z > 0 and y < 0:
Since z > 0, the point P lies in the positive z-axis direction. To make y negative, we rotate the point counterclockwise by an angle of π radians (180 degrees).
2. For z < 0 and y > 0:
In this case, the point P lies in the positive y-axis direction. To make z negative, we rotate the point counterclockwise by an angle of π/2 radians (90 degrees).
3. For y < 0 and z < 0:
Here, the point P lies in the negative y-axis direction. To make both y and z negative, we rotate the point counterclockwise by an angle of 3π/2 radians (270 degrees).
In summary, the angles of rotation for the given conditions are:
1. π radians (180 degrees)
2. π/2 radians (90 degrees)
3. 3π/2 radians (270 degrees)
By rotating the point P by these angles, we can achieve the desired conditions for the (z, y) coordinates.
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a square has f the diagonals of a square bisects its angles?
Answer:
ok so i can have i insteaof f too
Step-by-step explanation:
WILL GIVE BRAINLIEST!!! If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure?
The surface area of the figure is 204 sq.unit.
What is Surface Area ?The surface area of a three dimensional figure is the sum of area of all its faces.
Here a three dimensional figure is given and surface area has to be calculated.
The base is a cuboid
Surface Area of a cuboid = SA= 2lw+2lh+2hw
SA = 2 * 6 * 6 +2 * 6 * 3 + 2 * 6 * 3
SA = 144 sq.units
The Surface Area of the 4 triangle surface = 4 * (1/2) * base * height
SA = 2 * 6 * 5 = 60 sq.units
The total surface area = 144 +60 = 204 sq.units
Therefore the surface area of the figure is 204 sq.unit.
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-6x + 12 , can somebody explain this ?
Step-by-step explanation:
Factor −6 out of −6x
-6(x)+12
Factor −6 out of 12.
−6(x)−6(−2)
Factor −6 out of −6 (x)−6(−2).
-6(x-2)
How many gallons of water are used to fill 2 fish tanks
Answer:
It depends on the size of the fish tank, so this question cannot be properly answered.
Answer:It depends I can give a ratio
Step-by-step explanation:
If one tank needs 45 gallons of water and another needs 30 you will need 75 gallons of water. If your using pints or quarts you can find converter calculators
List the probability of each outcome in the sample space.
Yeah help guys today was way to stressful to do this shi right now
Answer:
15.3125
Step-by-step explanation:
i gotchu
help me out and ill give brainliest
Answer:
C
Step-by-step explanation:
Y= MX (The Slope which is Rise/Run) minus 2 (The Y-Intercept).
HELP PLS
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?
here are 24 people in a fitness studio. 3/8 of the people are lifting weights, 1/3 are cross training, and the remaining people are running. What fraction of the people are running?
Answer:
7/24 i think i hope this helps and im right
what is the value (in binary) of al, ah, and eax gave the following hexadecimal values in the eax register? (1) 37e11449 eax =? (in the format of xxxx xxxx xxxx xxxx xxxx xxxx xxxx xxxx)
To convert the hexadecimal value of the EAX register (37e11449) into binary and obtain the values of AL, AH, and EAX, we can break it down as follows:
EAX: 0011 0111 1110 0001 0001 0100 0100 1001
AH: 0011 0111
AL: 0100 1001
So, the binary representation of AL, AH, and EAX is as follows:
EAX: 0011 0111 1110 0001 0001 0100 0100 1001
AH: 0011 0111
AL: 0100 1001
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Caitlyn uses 47-centstamps and 8.cent stamps to mail a gift card to a friend. If the postage is $2.99, how many of each stamp did Caitlyn use?
Let the number of 47-cent stamps be x, and the number of 8-cent stamps be y. So, the cost of x 47-cent stamps will be $0.47x.The cost of y 8-cent stamps will be $0.08y.Therefore, $2.99 = $0.47x + $0.08y Multiply the entire equation by 100 to eliminate decimals. $299 = 47x + 8yEquation 1.47x + 8y = 299There are a couple of ways to solve the system of equations.
One method is substitution. We can rearrange equation 1 to solve for x:47x = 299 - 8y x = (299 - 8y)/47Substitute this expression for x into the first equation: 0.47(299 - 8y)/47 + 0.08y = 2.99 Simplifying the equation, we get: 299 - 8y + 4.76y = 299y = 299/0.76y = 393.4Hence, we cannot have fractional values of y; it must be a whole number, so Caitlyn can use 32 47-cent stamps and 15 8-cent stamps to mail a gift card to a friend.
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from the sum of 3a^2-ab-2b^2 and 2a^2+5ab-3b^2 subtract a^2-3ab-4b^2
4a^2+7ab-b^2
Step-by-step explanation:
Add the first two equations together:
3a^2-ab-2b^2
+ 2a^2+5ab-3b^2
---------------------------
5a^2+4ab-5b^2
Subtract that answer from the remaining trinomial:
5a^2+4ab-5b^2
- a^2-3ab-4b^2
--------------------------
4a^2+7ab-b^2
Answer:
4a^2 + ab - 9b^2
Step-by-step explanation:
First, perform the indicated addition:
3a^2-ab-2b^2
2a^2+5ab-3b^2
------------------------
5a^2 + 4ab - 5b^2
From this sum we subtract a^2 - 3ab - 4b^2:
5a^2 + 4ab - 5b^2
-(a^2 - 3ab - 4b^2
------------------------------
4a^2 + ab - 9b^2
Yes, I need help, give answer as IMPROPER fraction.
Answer:
[tex]w = \frac{93}{40} [/tex]
Excuse me, for the person who answers this right I will brain list. (if you can't quiet understand the question, I left an image)
Complete: For the function ()=−2‾‾‾‾‾√3, the average rate of change to the nearest hundredth over the interval −2 ≤ x ≤ 4 is ______.
Answer: It is 3.>9
Step-by-step explanation:
because i dont know
Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
A. 2/15 miles per hour
B. 9/10 miles per hour
C. 2 3/4 miles per hour
D. 3 1/3 miles per hour
Answer: 3 1/3 miles
Step-by-step explanation:
Consider the function shown below.
g(x) = 2^x
If the function g is horizontally compressed by a factor of 1/2 and reflected across the x-axis to obtain function f, which of the following graphs matches the above transformation?
The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y
How to determine the graph?The function is given as:
[tex]g(x) = 2^x[/tex]
When compressed horizontally by a factor of 1/2, the transformation rule is:
g'(x) = g(2x)
So, we have:
[tex]g(2x) = 2^{2x}[/tex]
[tex]g(2x) = 4^x[/tex]
When reflected across the x-axis, the transformation rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f(x) = -4^x[/tex]
The graph represented by this is graph Y.
Hence, the graph of the transformation is graph Y
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Leo has 24 golf clubs. He has 3 golf bags. Each bag contains the same number of clubs. How many golf clubs are in each bag?
Answer:
8
Step-by-step explanation:
24/3 = 8
Numerical methods for non-autonomous ODES [8 marks] Consider using the modified Euler formula Yn+1 = yn +hF(t, + $; Yn + F(tryn)), for some step size h > 0, to compute numerical solutions of the initial value problem dy F(t,y), y(to) = yo dt Use the modified Euler formula with step sizes h = 0.05 and h = 0.001 to compute approximate values of the solution to the following initial value problem dy 2t +ety, y(0) = 1, dt at the four time steps t = 0.1, 0.2, 0.3 and 0.4.
The approximate values of the solution to the given initial value problem at the four time steps t = 0.1, 0.2, 0.3 and 0.4 using the modified Euler formula with step sizes h = 0.05 and h = 0.001 are as follows:
Approximate solution using h = 0.05y(0.1) = 1.12116266y(0.2) = 1.25755476y(0.3) = 1.41728420y(0.4) = 1.59967883
Approximate solution using h = 0.001y(0.1) = 1.00372378y(0.2) = 1.00745820y(0.3) = 1.01119282y(0.4) = 1.01492766
The non-autonomous ordinary differential equation is given as:
dy/dt = f(t,y)......(1)
where f is a continuous function and is defined for all values of t and y. The numerical methods for non-autonomous ODEs are described below:
Modified Euler Formula (Improved Euler Method)This method is based on the same idea as Euler's method, but the derivative is evaluated at the midpoint of the interval instead of the initial point. Consider the initial value problem (IVP) dy/dt = f(t,y), y(to) = yo, and suppose that we want to approximate the solution at tn+1 = tn + h. Then, using the improved Euler's formula, we obtain the following approximation:
Yn+1 = yn + hF(tn + h/2, yn + hF(tn,yn)/2)......(2)
Using h = 0.05
Substituting h = 0.05 in equation (2), we get
Y1 = Y0 + 0.05(F(0.025,Y0+F(0,Y0)/2))
Y2 = Y1 + 0.05(F(0.075,Y1+F(0.05,Y1)/2))
Y3 = Y2 + 0.05(F(0.125,Y2+F(0.1,Y2)/2))
Y4 = Y3 + 0.05(F(0.175,Y3+F(0.15,Y3)/2))
Using h = 0.001
Substituting h = 0.001 in equation (2), we get
Y1 = Y0 + 0.001(F(0.0005,Y0+F(0,Y0)/2))
Y2 = Y1 + 0.001(F(0.0015,Y1+F(0.001,Y1)/2))
Y3 = Y2 + 0.001(F(0.0025,Y2+F(0.002,Y2)/2))
Y4 = Y3 + 0.001(F(0.0035,Y3+F(0.003,Y3)/2))
For the given IVP, f(t,y) = 2t + ety, y(0) = 1
So, substituting f(t,y) in equation (1), we get
dy/dt = 2t + ety.....(3)
Using the modified Euler formula (equation 2), we get
Using h = 0.05
Y1 = 1 + 0.05(2(0.025) + e(0.025)Y0) = 1.12116266
Y2 = 1.12116266 + 0.05(2(0.075) + e(0.075)Y1) = 1.25755476
Y3 = 1.25755476 + 0.05(2(0.125) + e(0.125)Y2) = 1.41728420
Y4 = 1.41728420 + 0.05(2(0.175) + e(0.175)Y3) = 1.59967883
Using h = 0.001
Y1 = 1 + 0.001(2(0.0005) + e(0.0005)Y0) = 1.00372378
Y2 = 1.00372378 + 0.001(2(0.0015) + e(0.0015)Y1) = 1.00745820
Y3 = 1.00745820 + 0.001(2(0.0025) + e(0.0025)Y2) = 1.01119282
Y4 = 1.01119282 + 0.001(2(0.0035) + e(0.0035)Y3) = 1.01492766
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(11m-7m)-(2m+6m) the sum or differce
Answer:
-4m
Step-by-step explanation:
=11m-7m-(2m+6m)
=11m-7m-8m
=-4m
plz mark me as brainliest
Answer:
-4m
Step-by-step explanation:
Hey!
==================================================================
First, We should remove the Parentheses.
To remove them, we distribute the negative over (2m + 6m).
⇒ 11m - 7m - (2m + 6m)
⇒ 11m - 7m - 2m - 6m
Work the Problem from Left to Right.
⇒ 4m - 2m - 6m
⇒ 2m - 6m
⇒ -4m
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
Solve the system of equations x' 2x – 3y + 2 sin(2t) y' = x – 2y — 2 cos(2t)
Upon solving the given system of equations:
[tex]x(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * cos(2t) + (1/2) * (c_1 + e^{-t}) * sin(2t),\\y(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * sin(2t) - (1/4) * (c_1 + e^{-t}) * cos(2t)[/tex]
To solve the system of equations:
x' = 2x - 3y + 2sin(2t)
y' = x - 2y - 2cos(2t)
We can use the method of undetermined coefficients to find the particular solution. Assuming the particular solution takes the form:
[tex]x_p(t) = A sin(2t) + B cos(2t)\\y_p(t) = C sin(2t) + D cos(2t)[/tex]
Substituting these expressions into the original equations, we get:
2(A sin(2t) + B cos(2t)) - 3(C sin(2t) + D cos(2t)) + 2sin(2t) = 2sin(2t)
(A sin(2t) + B cos(2t)) - 2(C sin(2t) + D cos(2t)) - 2cos(2t) = cos(2t)
(2A - 3C + 2)sin(2t) + (2B - 3D)cos(2t) = 2sin(2t)
(A - 2C)sin(2t) + (B - 2D - 2)cos(2t) = cos(2t)
By comparing the coefficients of sine and cosine on both sides, we can equate them separately:
2A - 3C + 2 = 2
2B - 3D = 0
A - 2C = 0
B - 2D - 2 = 1
Solving these equations, we find:
A = 1
B = 3/2
C = 1/2
D = -1/4
So the particular solution is:
[tex]x_p(t)[/tex] = sin(2t) + (3/2)cos(2t)
[tex]y_p(t)[/tex] = (1/2)sin(2t) - (1/4)cos(2t)
To find the complementary solution, we solve the homogeneous system:
x' = 2x - 3y
y' = x - 2y
We can rewrite this system as a matrix equation:
X' = AX
where [tex]X = [x, y]^T[/tex] and
[tex]A = \left[\begin{array}{ccc}2&-3\\1&-2\end{array}\right][/tex]
The characteristic equation is:
det(A - λI) = 0, where I is the identity matrix. Solving this equation, we find the eigenvalues:
[tex]\lambda_1 = -1\\\lambda_2 = -1[/tex]
For each eigenvalue, we solve the corresponding eigenvector equation:
(A - λI)V = 0
For [tex]\lambda_1 = -1[/tex], we have:
[tex]\left[\begin{array}{ccc}3&-3\\1&-1\end{array}\right] * V_1 = 0[/tex]
Solving this system, we find the eigenvector:
[tex]V_1 = [1\ \ 1][/tex]
For [tex]\lambda_2 = -1[/tex], we have:
[tex]\left[\begin{array}{ccc}3&-3\\1&-1\end{array}\right] * V_2= 0[/tex]
Solving this system, we find the eigenvector:
[tex]V_2 = [3\ \ 1][/tex]
So the complementary solution is:
[tex]x_c(t) = c_1 * e^{-t} * [1\ \ 1]^T + c_2 * e^{-t} * [3\ \ 1]^T\\y_c(t) = c_1 * e^{-t} * [1\ \1]^T + c_2 * e^{-t} * [3\ \ 1]^T[/tex]
where
[tex]c_1\ and\ c_2[/tex] are arbitrary constants.
The general solution is the sum of the particular and complementary solutions:
[tex]x(t) = x_p(t) + x_c(t)\\y(t) = y_p(t) + y_c(t)[/tex]
Simplifying and combining terms, we get:
[tex]x(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * cos(2t) + (1/2) * (c_1 + e^{-t}) * sin(2t)\\y(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * sin(2t) - (1/4) * (c_1 + e^{-t}) * cos(2t)[/tex]
where [tex]c_1\ and\ c_2[/tex] are arbitrary constants.
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What is front-end ratio and how do you figure it out?
Answer:
The front-end ratio is calculated by dividing an individual's anticipated monthly mortgage payment by his/her monthly gross income. The mortgage payment generally consists of principal, interest, taxes, and mortgage insurance (PITI). Lenders use the front-end ratio in conjunction with the back-end ratio to determine how much to lend.
Step-by-step explanation:
Which linear equation represents Catherine’s situation?
Answer:
y=1/9x+104
Step-by-step explanation:
I REALLY hope this helps
Sorry if im wrong
Best of luck!
What value of Y makes the equation true? Y + 2.9 = 11
Answer:
8.1
Step-by-step explanation:
Subtract 2.9 to get Y alone.
11 - 2.9 = 8.1
Best method to solve y=-3x+4 y = 3x-2
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 1 , 1 )
Equation Form:
x = 1 , y = 1
The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called
A. a cyclical component
B. a trend component.
C. seasonal component.
D. irregular component.
The time series component that exhibits a repeating pattern over successive periods, often one-year intervals, is called the seasonal component. It represents the regular and predictable variations in the data that occur due to seasonal factors, such as weather patterns, holidays, or annual events.
The seasonal component typically follows a consistent pattern, where the values tend to rise and fall in a similar manner within each season. For example, retail sales may experience higher values during the holiday season each year and lower values during other times.
Identifying and analyzing the seasonal component is crucial in many fields, including economics, finance, marketing, and forecasting. By understanding and accounting for the seasonal patterns, analysts and decision-makers can make more accurate predictions, adjust for seasonality in data, and develop strategies to optimize operations or sales during specific periods.
Methods such as seasonal decomposition or seasonal adjustment techniques are used to separate the seasonal component from other components, such as trend and irregular fluctuations, in order to better understand the underlying patterns and make informed decisions based on the data.
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a circle has a diameter of 18. the sector has a central angle of 30 degrees. what is the area of the sector?
Answer:
21.21
Step-by-step explanation:
Area of a circle is A = π r^2
Variables:
r = 18/2 = 9
θ = 30 deg
Find the area:
A = π r^2
A = π 9^2
A = 254.47
Find the area of the sector:
θ/360 * A
= 30/360 * 254.47
= 21.21
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Please mark brainliest if this helped!
Buenos días personas!!!
Necesito ayuda con esta problema de Matemáticas. ¿Me ayudan por favor?
PROBLEMA: Calcula 5€ de descuento de 16,80€
SOLUCIÓN: no sé
Muchas gracias!!
Respuesta:
11,80 €
Explicación paso a paso:
Dado:
Importe o coste = 16,80 €
El valor de descuento sobre la cantidad = 5 €
El precio o costo con descuento sobre el monto entregado será; la diferencia entre la cantidad dada y el valor de descuento
Importe - valor de descuento
16,80 € - 5 €
= 11,80 €
You want to save $1,200 per quarter for 15 years towards the purchase of a trailer. You feel that you can earn 3.12% compounded quarterly for this period of time. If your first deposit is in 3 months, what is the most expensive trailer that you can purchase?
The most expensive trailer can be purchased for $39,505.41. To determine the most expensive trailer that can be purchased at an interest rate of 3.12% compounded quarterly, we calculate the future value of the savings.
The formula for compound interest is given by the equation:
A = [tex]P(1 + r/n)^(nt)[/tex]
Where:
A is the future value of the savings,
P is the quarterly deposit amount ($1,200),
r is the interest rate per compounding period (3.12%),
n is the number of compounding periods per year (quarterly, so n = 4),
and t is the number of years (15).
Plugging the values into the formula, we have:
A =[tex]1200(1 + 0.0312/4)^(4*15)[/tex]
Calculating this expression, we find the future value of the savings after 15 years to be approximately $39,505.41.
Therefore, the most expensive trailer that can be purchased is $39,505.41 or less, as that is the maximum amount that will be saved over the 15-year period.
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Which statement about the students' preferences is true? A. More students prefer Model B2 calculators than Model C3 calculators B. More students prefer black Model C3 calculators than white Model B2 calculators. C. More students prefer black calculators than white calculators. D. The fewest students prefer white Model B2 calculators. NEED HELP
B. More students prefer black Model C3 calculators than white Model B2 calculators.
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