Step-by-step explanation:
∠2 = 77°
∠2 = ∠4 ( being vertically opposite angle )
∠4 = 77°
Now...
∠1 + ∠2 = 180° ( supplementary angle )
∠1 = 180° - 77°
∠1 = 103°
here....
∠1 = ∠3 ( vertically opposite angle )
∠1 = 103°
\(.....\)
Someone please Help??
According to the the table, what is the rate of change between Tuesday and Wednesday?
Answer:
Where is the table?
Step-by-step explanation:
Indicate, in standard form, the equation of the line passing through the given points.
E-2, 2), 25, 1)
Enter your answer in the blank equation box.
Answer:
x + 27y - 52 = 0.
Step-by-step explanation:
The slope of the line = (y2-y1)/(x2-x1)
= (1-2)/(25- (-2))
= -1/27
Using the point slope form of a straight line:
y - 2 = -1/27(x- (-2))
y - 2 = -1/27x - 2/27
y = -1/27x - 2/27 + 54/27
y = -1/27x + 52/27
Multiply through by 27:
27y = -x + 52
x + 27y - 52 = 0 <------- Standard form.
The length of a rectangle is 6x 2 and the width of the rectangle is x + 1. The perimeter of
the rectangle is 236. Which answer choice shows an equation that can be used to find x
Answer:
12 + 1x = 236 maybe that
Step-by-step explanation:
does anything in the plot of the semimajor axis versus the period change when the eccentricity is changed?
Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.
What is eccentricity?In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.
Here,
In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.
As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.
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PLEASE HELP will give brainliest
not every linearly independent set in set of real numbers r superscript ℝn is an orthogonal set. T/F?
The given statement is true.
Consider linearly independent vectors of \(R_{n}\)
Where n = 2
\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)
\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)
Now product of these vectors
UV = 4x5 + 2x6
= 32
Hence these vectors are not orthogonal.
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) in a quadrilateral abcd, assume that ∠a = 90º = ∠c. draw the diagonals ac and bd and show that ∠dac = ∠dbc. note that abcd need not be a rectangle.
The angles ∠DAC and ∠DBC are congruent (equal) in the quadrilateral ABCD, where ∠A = 90º = ∠C.
In the given quadrilateral ABCD, since ∠A = 90º, it implies that the diagonal AC divides the quadrilateral into two right triangles, namely ∆DAC and ∆CAB. Similarly, since ∠C = 90º, the diagonal BD divides the quadrilateral into two right triangles, namely ∆DBC and ∆CAB.
Now, let's focus on the two right triangles ∆DAC and ∆DBC. Both of these triangles share the side DC, as it is a side of the quadrilateral. Additionally, they also share the side AC, which is the diagonal of the quadrilateral.
From triangle congruence, we know that if two triangles share a common side and have two congruent angles, then the third angles of the triangles are also congruent.
Since ∠DAC and ∠DBC are both right angles (90º) and ∠CAB is shared by both triangles, it follows that ∠DAC and ∠DBC must be congruent.
Therefore, in the given quadrilateral ABCD with ∠A = 90º = ∠C, the diagonals AC and BD intersect at a point such that ∠DAC is congruent to ∠DBC. This result holds true regardless of whether ABCD is a rectangle or not.
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b) A different pattern is made using 20 straight lines
and 14 arcs.
The straight lines and arcs are made from metal.
20 straight lines cost £12
cost of one straight line: cost of one arc = 2:3
Work out the total cost of metal in the pattern.
26.4
total cost of metal in the pattern is £24.6
What is ratio and proportion ?To compare two values is to use a ratio. A proportion is formed when two ratios have the same value. Choose whether the ratio is part-to-part or part-to-whole before you write it.
Calculation20 straight line cost £12
12 ÷ 20 = 0.6 per straight line
straight line : cost of one arc = 2:3
arc = 0.6 x (3/2) = 0.9
total = 12 + 14 x 0.9
= 12 + 12.6
= 24.6
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166 students went on a field trip. Three buses were filled and 22 students traveled in cars. How many students were in each bus?
Answer:
48 students.
Step-by-step explanation:
Take the 166 students and subtract the 22 students traveling via car.
That leaves you with 144 stundets.
Divide the 144 students into the 3 buses.
144/3 =48
Each bus had 48 students.
Hope this helps! ^-^
-Isa
( 30 points ) help meee !
Answer:
D
Step-by-step explanation:
hard to explain, but trust me.
Answer:
I think its c but im not sure srry if im wrong im not good at math
Step-by-step explanation:
( -6)^0 solve this problem
Answer:
1
Step-by-step explanation:
Answer:
Anything raise to 0 is 1
so (-6)^0=1
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.
Let m = the number of miles Mr. Parker drives for the day. Choose the expression that shows the amount he will pay for the van.
(0.35 x m) + $50 = total amount he pays
Answer: Do 50 x the amount of days he has it and 0.35 x the amount of miles he drove
Step-by-step explanation:THEN ADD THEM TOGETHER
An arithmetic sequence is shown below.5, 1, -3, -7, . . .Which explicit formula can be used to determine the nth term of the sequence?A. an = 4n + 9B. an = -4n + 5C. an = -5n + 9D. an = -5n + 1
letter B
I'v just substitute 1, 2, 3, etc in each equation
Ex. when n = 2 a2 = -4(2) + 5
a2 = -8 + 5
a2 = -3
or when n = 3
a3 = -4(3) + 5
a3 = -12 + 5
a3 = -7
Doing this we obtain the values of the sequence 5, 1, -3, -7
HELP ASAP
Given the graph below, solve for the equation of the circle. Show your work and explain the steps you used to solve.
Answer:
(x + 3)^2 + (y - 3)^2 = 5^2
Step-by-step explanation:
They're not really much to show work. Looking at the graph we need to find the origin which is (h ,k), and the radius.
(h , k) = (-3 , 3)
The radius is r = 5 because counting it from origin to the edge.
Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2
(x - (-3))^2 + (y - 3)^2 = 5^2
(x + 3)^2 + (y - 3)^2 = 5^2
Please help !! ASAP!! BRAINLIEST???
Answer:
The volume is 8 * 14 * 6 = 672.
Besides being simple for its own sake, what other advantage do simple models usually have?
a) Higher accuracy
b) Greater complexity
c) Easier interpretation
d) More detailed predictions
The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.
This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.
Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.
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You are scheduled to receive $15,500 in three years. When you receive it it for seven more years at 9 percent per year. How much will you have in not round intermediate calculations and round your answer to 2 decin 32.16.) to receive $15,500 in three years. When you receive it, you will invest years at 9 percent per year. How much will you have in ten years? (Do ediate calculations and round your answer to 2 decimal places, e.g., Future value
After ten years, you will have approximately $34,448.12.
To calculate the future value of an amount invested at a certain interest rate, we can use the compound interest formula:
Future Value = Present Value * (1 + interest rate)^number of periods
In this case, we will receive $15,500 in three years and then invest it for seven more years at a 9% interest rate.
Step 1: Calculate the future value after three years.
Future Value after three years = $15,500 * (1 + 0.09)^3
Step 2: Calculate the future value after ten years (three years plus the additional seven years).
Future Value after ten years = Future Value after three years * (1 + 0.09)^7
Let's calculate the future value using the given values:
Future Value after three years = $15,500 * (1 + 0.09)^3
= $15,500 * (1.09)^3
= $15,500 * 1.295029
= $20,045.45
Future Value after ten years = $20,045.45 * (1 + 0.09)^7
= $20,045.45 * (1.09)^7
= $20,045.45 * 1.71899
= $34,448.12
Therefore, after ten years, you will have approximately $34,448.12.
It's important to note that this calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the calculation would be slightly different.
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an open box will be made by cutting a square from each corner of a 16-inches by 10-inches piece of cardboard and then folding up the sides. what size square should be cut from each corner in order to produce a box of maximum volume? what is that maximum volume?
The size of the square to cut is 5/3 inches and the maximum volume of the box is 266.67 cubic inches.
To find the size of the square to cut and the maximum volume, we can follow these steps:
Let's call the length of each side of the square to be cut x inches. So the dimensions of the base of the box would be (16-2x) inches by (10-2x) inches.
The height of the box would be x inches since we are folding up the sides.
The volume of the box can be found by multiplying the length, width, and height: V = (16-2x)(10-2x)x.
To find the maximum volume, we can take the derivative of V with respect to x and set it equal to zero, since the maximum volume occurs at a critical point.
After taking the derivative and simplifying it, we get the equation 24x^2 - 520x + 1600 = 0.
Solving this quadratic equation, we get x = 5/3 or x = 20/3. Since x must be less than 5 (the length of the shorter side), the only feasible solution is x = 5/3 inches.
Plugging this value of x back into the equation for the volume, we get V = (16-2(5/3))(10-2(5/3))(5/3) = 266.67 cubic inches.
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Write an equation to fit the following situation. On Monday, 340 students
went on a trip to the zoo. All 7 buses were filled equally and 4 students had
to travel in cars.
use your equation from above to solve how many students were on each bus
will mark brainliest
Answer:
48
Step-by-step explanation:
first you need to subtract the total number of students 340, by 4:00 because four of them had to travel in cars so they weren't on the bus. since there are seven buses and now 336 students going to travel on buses each buses must be split equally so you need to divide 336 by 7 giving you 48
7. Which expression has a negativevalue?A (-4)(-7)C (4)(-7)B - 28 : -7D 28 : 7
Answer:
C. (4)(-7)
Explanation:
To determine the expression that has a negative value, take note of the following:
\(\begin{gathered} -\times-=+ \\ +\times-=- \\ -\div-=+ \end{gathered}\)Therefore, the expression with a negative value is:
\((4)(-7)=-28\)The correct choice is C.
Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour? How much does she earn per hour?
The proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .
In the question ,
it is given that
Karyn proofreads ⇒15 pages in 2 hours for $40
Karyn in 2 hour proofreads 15 pages ,
So, in 1 hour She will proofread = 15/2= 7.5 pages
and will get $40/2 = $20 for 1 hour ,
hence ,her rate in pages per hour is $20 per 7.5 pages per hour .
In 2 hour Karyn earns $40
So , in 1 hour Karyn will earn $40/2 = $20
hence , she earn $20 per hour .
Therefore , the proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .
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Can someone help me asap? It’s due tomorrow.
Answer: I’m pretty sure it’s B
Step-by-step explanation:
Please help I need help the question is in the picture
Answer:
z+x+y=180° because the angles in a triangle add up to 180.
Tyree is ordering drink coasters with the school logo printed on the top. The coasters are circular with a radius of 1.75 inches. What is the area of each coaster? (Use 3.14 for π)
Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solutions. (2 points) Equation 1 Equation 2 |5x + 6| = 41 |2x + 13| = 28 Equation 1 has more solutions than equation 2. Equation 1 and Equation 2 have the same number of solutions. Equation 2 has more solutions than Equation 1. The number of solutions cannot be determined.
Answer:
Step-by-step explanation
5+5
Someone help me please
Answer:
42 seatsStep-by-step explanation:
This represents an arithmetic progression with the first term of a = 15 and common difference of d = 3.
The tenth row is the 10th term:
aₙ = a + (n - 1)dThe row 10 has:
a₁₀ = 15 + 9*3 = 15 + 27 = 42 seats\(\\ \bull\tt\dashrightarrow a_n=a+(n-1)d\)
\(\\ \bull\tt\dashrightarrow a_{10}=a+9d\)
\(\\ \bull\tt\dashrightarrow a_{10}=10+9(3)\)
\(\\ \bull\tt\dashrightarrow a_{10}=15+27\)
\(\\ \bull\tt\dashrightarrow a_{10}=42\)
what is 463,462 rounded to the nearest ten?
Answer: 460,000
your welcome btw
we cemene vironment there bly on som abous imples from all argue that our own planet's potes ne Others will suy that -velopiny, more sustaina Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality and graph its solution. Name Samanthacebonos Date 3/8/2021 1) lonl=18 LLO.
Absolute value x, -x
|n| + 2 ≥ 5
then
|n| ≥ 5 - 2
|n| ≥ 3
Then eliminate parenthesis
n ≥ 3
and
n ≤ -3
Then answer is
n ≤ - 3,. 3 ≤ n
Graph of |n| + 2 ≥ 5
Question 9
|x - 2| - 5 < -2
then
|x - 2| < 5 - 2
|x - 2| < 3
Then eliminate parenthesis
x - 2 < 3
(x - 2) < -3
Then answer is
x< 5
x < -1
New graph question 9
Exercises 15 and 16 concern arbitrary matrices A, B, and C for which the indicated sums and products are defined. Mark each statement True or False. Justify each answer.15. a. If A and B are 2 x 2 with columns ay.az, and bI, ba. respectively, then AB = a,b ab].b. Each column ofAB is a linear combination of the columns of B using weights from the corresponding column of A.c. AB+ AC = A(B+C)d. AT + BT = (A + B)"c. The transpose of a product of matrices equals the product of their transposes in the same order.
a. True. The product of two 2 x 2 matrices A and B is given by the formula AB = [a1*b1 + a2*b3, a1*b2 + a2*b4; a3*b1 + a4*b3, a3*b2 + a4*b4], where a1, a2, a3, and a4 are the elements of A and b1, b2, b3, and b4 are the elements of B.
In this case, the columns of A are ay and az, and the columns of B are bI and ba. So, the product AB is given by [ay*bI + az*ba, ay*ba + az*bb], which is equivalent to [a,b ab].
b. True. Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. This is because the elements of each column of AB are obtained by multiplying the elements of the corresponding column of A with the elements of the corresponding row of B and summing the products.
c. True. The sum of two matrices is obtained by adding the corresponding elements of the matrices.
So, AB+ AC = [a1*b1 + a2*b3 + a1*c1 + a2*c3, a1*b2 + a2*b4 + a1*c2 + a2*c4; a3*b1 + a4*b3 + a3*c1 + a4*c3, a3*b2 + a4*b4 + a3*c2 + a4*c4] = [a1*(b1+c1) + a2*(b3+c3), a1*(b2+c2) + a2*(b4+c4); a3*(b1+c1) + a4*(b3+c3), a3*(b2+c2) + a4*(b4+c4)] = A(B+C).
d. True. The transpose of a matrix is obtained by flipping the matrix along its main diagonal. So, AT + BT = [a1, a3; a2, a4] + [b1, b3; b2, b4] = [a1+b1, a3+b3; a2+b2, a4+b4] = (A + B)T.
e. False. The transpose of a product of matrices equals the product of their transposes in the reverse order. So, if A and B are two matrices, then (AB)T = BT*AT.
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