Answer:
look at the screenshot
Step-by-step explanation:
A contractor drew this diagram to find the area of a right-triangular shaped patio.
The length of railing b is 104 feet. The measure of angle A is 28°.
What is the area of the patio rounded to the nearest square foot?
Answer:
Step-by-step explanation:
sin28=0,27
cos28=0.88
so b=0.88c
and a =0.27c and from here is easy
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
After a storm, Micheal measured 6 7/8 inches of snow. What is this amount as a decimal?
Find the Value of X.
The measure of the unknown sides is equivalent to 12.6
Circle geometry problemThe given figure is a circle geometry with the perpendicular lines intersecting both segments of the circle.
We need to determine the measure of x. Since the measure of the perpendicular lines are equal, hence the measure of the line of the segments will also be equal.
Hence:
x = 6.3 + 6.3
x = 12.6
Therefore the measure of x from the given diagram is equivalent to 12.6
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Someone please help and show work
Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.
11+13+14+16+17+18+20+20+21+24+25+29 = 228
There are 12 numbers, so divide by 12.
228/12 = 19. The mean is 19.
Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.
(Side note: yes, median and mean can be the same.)
Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.
Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.
jordan can jog 1/3 of a mile in 1/6 of an hour.what is his speed in miles per hour
Answer:
The answer is 2 miles per hour
Step-by-step explanation:
Given
distance = 1/3 miles
time taken = 1/6 hour
Required,
The speed with which Jorgan Jogs
Step two:
We know that the formula for the situation is
Speed= distance/time
Speed= 1/3/1/6
Speed= 1/3*6/1
multiply the numerator by the inverse of the denominator
Speed=6/3
Speed= 2 miles per hour
Which of these is NOT a way to show that two figures are congruent?
If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.
What is Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
What is the condition to be congruent?If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.
here, we have,
Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.
In Δ PQR and ΔXYZ, as shown in figure,
we can identify that PQ = XY, PR = XZ,
and QR = YZ
and ∠P = ∠X,
∠Q = ∠Y and ∠R = ∠Z.
Then we can say that Δ PQR ≅ ΔXYZ.
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Please help. Thanks :)
28) \(\sqrt{43}\) is not a perfect square since 43 is not a perfect square.
irrational number29) -2/3 can be written as the ratio of the two integers.
rational numberYou sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
The ship started at the Position 0.14 units.
To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.
Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:
Starting position + Distance sailed to the left = Distance to the treasure
Let's assign a variable, "x," to represent the starting position of the ship.
The equation becomes:
x - 0.055 = 0.085
To find the value of x, we can solve this equation by isolating x on one side:
x = 0.085 + 0.055
x = 0.14
Therefore, the ship started at the position 0.14 units.
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Consider a medium with parameters € = 1.2 (10^-10 )F/m , n= 3(10^-3) H/m and sigma=0. Magnetic field intensity in the medium is given as R = 2cos (10^10t- 600x)äz Am.
Use Maxwell's equations to obtain the followings:
1) Magnetic flux density
These questions is circuit theory
Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:
\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),
where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).
In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:
\(\displaystyle \nabla \times \mathbf{H} =0\).
Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):
\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).
Using the curl identity and applying the chain rule, we can expand the expression:
\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:
\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Differentiating the cosine function with respect to \(\displaystyle x\):
\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).
Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).
Simplifying the equation:
\(\displaystyle \sin( 10^{10} t-600x) =0\).
The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):
\(\displaystyle 10^{10} t-600x =n\pi\),
where \(\displaystyle n\) is an integer. Rearranging the equation:
\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).
The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.
Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.
Thus, the correct expression for the magnetic flux density in the given medium is:
\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).
Which numbers are rational?
Select each number that is correct.
23.429
10
13
151
8/7
-4.93
Answer:
All of them.
Step-by-step explanation:
Rational numbers are defined as the numbers that can be expressed as the ratio of two integers(a/b) where b must be a non-zero number. The rational numbers display a terminating characteristic and they also contain repeating, as well as, recurring digits. All the given numbers are rational as they can be written in the form of p/q.
23.429 = It can be written as a fraction. So, it is a rational number.
10 = 10 is a whole number and it can be written in the form of a/b i.e. 10/1. So, it is a rational number.
13 = 13 also can be written in ration form as 13/1. Therefore, it is also a rational number.
151 = It can be written as 151/1. Hence, it is a rational number.
8/7 = It is already mentioned in the form of a/b. So, it is a rational number.
-4.93 = since it is an integer, it will surely be a rational number.
Graph the function.
y=-1/2(x+2)^2+3
Which of the scatter plots below shows the most accurate line of best fit?
PLS LOOK AT PICTURE AND HELP ME, IM BEING TIMED
Answer:
Z
Step-by-step explanation:
Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
ayudaaa a resolver esto plis
The value of x in degrees will be 6° and 11° using properties of parallel lines.
What Qualities Characterize Parallel Lines?They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.
Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.
The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.
In the above figure,
8x + 7 = 55
8x = 55 - 7
x = 6
Measure of the angle will be 8 × 6 + 7 = 49
In 11)
10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)
⇒x = 11
The value of x in degrees will be = 11° using properties of parallel lines.
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Identify the graphs that represent a linear function. Check all that apply. sty 87 B1y 4 20 x X 4 -4 4 8 -8 4 -4 -4 -8 -8
It's important to know that linear functions are represented by straight lines.
Therefore, the choices with straight lines are the right answers.
A and D are correct because they are straight lines.Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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A flock of geese is flying north for the summer while a bird watcher is observing. He notices that they are flying in the shape of an absolute value graph. The lead goose is 5 miles east and 3 miles north of the bird watcher. A second goose is flying 1 mile east and 2 miles north of the bird watcher. If the bird watcher is standing at the origin write an equation for the flight of the geese in the form of y=a|(x-h)|+k
Answer:
y = -¼│x − 5│+ 3
Step-by-step explanation:
y = a│x − h│+ k
(h, k) is the vertex of the absolute value graph. In this case, it's (5, 3).
y = a│x − 5│+ 3
One point on the graph is (1, 2). Plug in to find the value of a.
2 = a│1 − 5│+ 3
2 = 4a + 3
a = -¼
Therefore, the graph is:
y = -¼│x − 5│+ 3
what is the largest of 3 consecutive positive integers if the product of the two is smaller integers is 8 more times the largest integer
The three successive positive numbers are 3, 4, and 5.
The largest of these 5.
What are integers?Integers are made up of zeros, natural numbers, and their additive inverses. Except for the fractional part, it can be represented on a number line.
Let's call the smallest of three successive positive numbers x. The following two consecutive integers would then be x + 1 and x + 2.
The product of the two smaller integers (x and x + 1) is eight times that of the largest integer (x + 2). This can be written as an equation:
x(x + 1) = 8 + (x + 2)
By enlarging and simplifying the left side, we get:
\(x^2 + x = x + 10\)
When we subtract x and 10 from both sides, we get:
\(x^2 - 9 = 0\)
After factoring in, we get:
(x - 3)(x + 3) = 0
As a result, x = 3 or x = -3. We can disregard the negative solution because we're seeking positive integers and infer that x = 3.
As a result, the three successive positive numbers are 3, 4, and 5.
The largest of these 5.
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What is the solution to the equation?
5(n - 1/10) = 1/2
Answer:
i have made it in picture hope it help
Can Someone please explain this, please. Tell me how do I start the problem Thanks!
Answer:
x = 35, y = 15°
Step-by-step explanation:
6. Since ΔRST ≅ ΔXYZ, RT = XZ because of CPCTC which means:
x + 21 = 2x - 14
-x = -35
x = 35
7. Again, since ΔRST ≅ ΔXYZ, ∠R ≅ ∠X because of CPCTC which means:
4y - 10 = 3y + 5
y = 15°
Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
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The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech versus State football game on Saturday. The ticket seller can serve an average of 12 customers per hour (Poisson distributed); on average, 8 customers arrive to purchase tickets each hour (Poisson distributed). 1. Determine the average time a ticket buyer must wait (in minutes). , Round your answer to integer, the tolerance is +/- 1. 2. What portion of time is the ticket seller busy? %, Round your answer to integer, the tolerance is +/- 1.
Answer:
a
\(A_w = 1.667 \ hour \)
b
\(b = 0.667 \ hour \)
Step-by-step explanation:
From the question we are told that
The mean number of ticket per hour is \(\mu = 12 \ tickets\)
The mean number of customers arrive to purchase tickets each hour is \(\lambda = 8 \ customers\)
Generally the average time the ticket buyer must wait is mathematically represented as
\(A_w = \frac{\lambda }{ \mu [\mu -\lambda]}\)
=> \(A_w = \frac{8 }{ 12 [12-8]}\)
=> \(A_w = 1.667 \ hour \)
Generally the portion of time is the ticket seller busy is mathematically represented as
\(b = \frac{\lambda}{ \mu}\)
=> \(b = \frac{8}{ 12} \)
=> \(b = 0.667 \ hour \)
Mrs Thompson bought a new Bugatti for $300,000. The formula V =300,000(1−0.125)y models the value of the system,V, in dollars, after depreciation for y years. In this formula, what is the meaning of the term (1-0.15)?
The equation V=300000(1-0.125)y can be expressed as,
\(\begin{gathered} V=300000(1-0.15)y \\ =300000\cdot(1-\frac{15}{1000})\cdot y \end{gathered}\)So, equation V=300000(1-0.125)y represents the decrease in cost of Bugatti after y year at the rate of 15%.
The correct answer ic C part.
x - 62.54 = 85.6
Answer for x
Answer:23.06
Step-by-step explanation:
subtract 85.6 from 62.54 and that should shoot out your answer
Answer:
x = 148.14
Step by Step explanation:
You add 62.54 plus 85.60 equals 148.14.
Pls answer this fast
Answer: C
Step-by-step explanation:
1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5
2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.
3. she picked 24 ounces of blueberries each day.
At a sports event, a fair coin is flipped to determine which team has possession of the ball to start. The coin has two sides, heads, (H), and tails, (T). Identify the correct experiment, trial, and outcome below: Select all that apply: a. The experiment is identifying whether a heads or tails is flipped. b. The experiment is flipping the coin c. A trial is flipping a heads. d. A trial is one flip of the coin. e. An outcome is flipping a tails. f. An outcome is flipping a coin once.
The correct answer about experiment, trial, and outcome is
a. The experiment identifies whether a head or tail
b. The experiment is flipping the coin
d. A trial is one flip of the coin
Experiment:
An experiment in probability is a process or activity that involves observing or measuring an outcome or event, in order to determine the likelihood or probability of certain outcomes.
Outcome:In probability, an outcome refers to a possible result that can occur from an experiment or event. It is one of the possible outcomes that can happen, and it may be a single result or a set of results.
TrialIn probability, a trial is a single repetition of an experiment or event. It is the process of observing or measuring the outcome of an event or experiment once.
Here we have
At a sports event, a fair coin is flipped to determine which team has possession of the ball.
The coin has two sides, heads, (H), and tails, (T).
From the given options correct answers are
a. The experiment identifying whether a head or tail is flipped is correct because the experiment is to determine which side of the coin will be facing up after the coin is flipped, either heads (H) or tails (T).
b. The experiment is flipping the coin is correct because the experiment involves physically flipping the coin.
d. A trial is one flip of the coin is correct as a trial is defined as a single performance of an experiment, in this case, flipping the coin once.
Therefore,
The correct answer about experiment, trial, and outcome is
a. The experiment identifies whether a head or tail
b. The experiment is flipping the coin
d. A trial is one flip of the coin
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I'm confused please HELP ME, thanks in advance
Answer:
I believe A is correct
..............
Answer:
A
Step-by-step explanation:
Adjacent angles add up to 180 degrees. They also share the same vertex and line. Basically, they are next to each other.
All of these are adjacent angles:
1 and 2
2 and 4
1 and 3
3 and 4
So.... Your awnser is A
I hope this helped and you unserdtood. Please mark brainlist if I deserve it :)
If the present value of an item is P and we experience an inflation rate of r, which is compounded continuously, for t years, what will the future value of the item be?
P = $60
r = 4.75%
t = 5
Answer:
I think it is p= $60
A certain test is worth 125 points. How many points (round to a whole
number) are needed to obtain a score of 85%? Enter only the number
without units.
Answer:
106
Step-by-step explanation: