Point F is between points T and K.
The points are collinear.
Answer:
the answer isssssssssssssß
7 similarity and pythagorean theorem
Answer:
A
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
\(\frac{LM}{LU}\) = \(\frac{LN}{LT}\) , substitute values
\(\frac{3x+12}{25}\) = \(\frac{45}{25}\) ( cross- multiply )
25(3x + 12) = 1125 ( divide both sides by 25 )
3x + 12 = 45 ( subtract 12 from both sides )
3x = 33 ( divide both sides by 3 )
x = 11 → A
Jane had of a meter of ribbon. She used of a meter of ribbon to decorate a card. How much ribbon did she have left after she decorated the card?
4 divided by the sum of x and 2 equals the quotient of 3 and the difference of x and 2.
Solve for x.
Answer:
\(x=14\)
Step-by-step explanation:
\(4\) divided by the sum of \(x\) and \(2\), in math lingo, is \(4/(x+2)\). The quotient of \(3\) and the difference of \(x\) and \(2\), in math lingo, is \(3/(x-2)\).
We have that these two quantities are equal, so \(4/(x+2)=3/(x-2)\).
We can multiply both sides of the equation by \((x+2)(x-2)\) to get \(4(x-2)=3(x+2)\).
We can distribute both sides of the equation to get \(4x-8=3x+6\).
We can subtract \(3x\) from both sides of the equation to get \(x-8=6\).
We can then add \(8\) to both sides of the equation to get \(x=14\).
So, the answer is \(\boxed{x=14}\) and we're done!
Formula One race cars can reach speeds of approximately 200 meters per 5 pointssecond. What is this speed in meters per minute? *1,200 meters per minute2.65 meters per minute120 meters per minute12,000 meters per minuteSaintesCompare these two fractions: 3/10 and 115 *
One minute has 60 seconds. So we want to know if the car can travel 200 meters in 1 second, how far can it go in 60 seconds?
\(\frac{200m}{1s}\times60s=12,000\text{ m/s}\)The speed in meters per minute is 12,000
Please help fast it’s the top one can you show your step-by-step also plays a little bit I’ll give you brainless an a lot of points please it’s very important
Answer:
Option B
Step-by-step explanation:
(3x - 8)(5x + 8)
(3x * 5x) + (3x * 8) + (-8 * 5x) + (-8 * 8)
\(15x^{2} +24x-40x-64\\\\15x^{2} -16x-64\)
Helpppppppppppppppppppppppppppppppppppppppppp
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to check the given list and state the true values;
1. This is true
Compound interest has the exponent nt; simple interest has no exponent
2. This is false
Simple interest is only earned on the principal which is the amount deposited
3. True
Due to its multiplication chain, it earns more money as we can compound more than once within the given time frame
4. This is false; check explanations above
5. This is true
Its value is only based on the amount invested originally
6. This is false
simple interest earns the same amount annually based on rate
7. This is false
Both considers the time factor t in their formulas
8. This is true
The interest and principal forms the principal for another compounding time
Okay what’s the answer to this one plz
Answer:
what the FLIP
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
3x + 8 = 5x ( Inscribed angles on same arc are equal) 5x - 3x = 82x = 8x = 8 / 2x = 4Hope it will help :)
A store has a sale with 20% off every item. When you enter the store, you receive a coupon that states that you receive an additional 10% off. Is this equal to a
30% discount? Explain your answer.
The area of a circle is 36.43cm2.
Find the length of the radius rounded to 2 DP.
Answer:
3.40 cmStep-by-step explanation:
It is given that the area of a circle is 36.43cm² and we have to find the length of the radius.
So, first of we must know this formula :
⇒ πr² = Area(Circle)
We will take the value of π as 3.14Now, Substituting the given values in the formula :
⇒ 3.14 × r² = 36.43
⇒ r² = 36.43/3.14
⇒ r² = 11.60
⇒ r = √11.60
⇒ r = 3.40
Therefore,
The radius of the circle is 3.40 cmHey ! there
Answer:
Radius of circle = 3.40 cmStep-by-step explanation:
In this question we are given with area of circle that is 36.43 cm² . And we are asked to find the length of radius of circle rounded to two decimal points .
We know that ,
\( \qquad \quad \frak{Area_{(Circle)} = \pi r {}^{2} } \quad \bigstar\)
Where ,
π = 3.14r = radius of circleSolution : -
According to question , area of Circle is equal to 36.43 . So ,
\( \longrightarrow \qquad \: \pi r {}^{2} = 36.43\)
Step 1 : Substituting value of π :
\( \longrightarrow \qquad \:3.14 \times r {}^{2} = 36.43\)
Step 2 : Transposing 3.14 to right side :
\( \longrightarrow \qquad \: r {}^{2} = \cancel{\dfrac{36.43}{3.14} }\)
On dividing 36.43 by 3.14 , We get :
\( \longrightarrow \qquad \: r {}^{2} = 11.60\)
Step 3 : For removing square from r , We are applying root on both sides :
\( \longrightarrow \qquad \: \sqrt{r {}^{ 2 }} = \sqrt{ 11.60}\)
We get :
\( \longrightarrow \qquad \:r = \sqrt{11.60} \)
Step 4 : Finding square root of 11.60 , We get :
\( \longrightarrow \qquad \: \purple{\underline{\boxed{\frak{r = 3.40 \: cm}}}} \)
Therefore, radius of circle is 3.40 cm#Keep LearningNeeding help badlyyyyyy
Answer:
D, D, B
Step-by-step explanation:
multiply 744 by 1,000 to get your meters.
7 times the cost of each lawn, X will equal 210.
25 minus 12 is 13
this holds true for the one below also
what are the two things do you need to write an equation?
Answer:
Slope and y intercept.
Step-by-step explanation:
This is necassary to write the equation of a line in y=mx+b
m is where the slope goes, and b is the y intercept.
Alternatively, you could also write the equation for a line with a point on the line and the slope.
You would then write it in point slope formula:
y-y1=m(x-x1)
This can later be converted into slope intercept form.
Answer:
When asked to write an equation, you need to know two things – slope (m) and y-intercept (b).
Or
The Standard Form for a linear equation in two variables, x, and y, is usually given as Ax + By = C where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1.
The sum of 5 consecutive even numbers is 200
Answer:
36, 38, 40, 42, 44
Step-by-step explanation:
We can denote an even number as 2n (where n is a natural number).
Each consecutive even number will be 2 more than the previous number.
Let 1st number = 2n
⇒ 2nd number = 2n + 2
⇒ 3rd number = 2n + 4
⇒ 4th number = 2n + 6
⇒ 5th number = 2n + 8
Sum of all 5 numbers is 200.
⇒ 2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 200
⇒ 10n + 20 = 200
⇒ 10n = 180
⇒ n = 18
If n = 18, then 2n = 36
Therefore, the numbers are 36, 38, 40, 42, 44
How does the mathematical measure of standard deviation help risk mangers?.
The mathematical measure of standard deviation is essential for risk managers as it helps quantify the dispersion or variability of data, enabling them to assess and manage potential risks effectively.
Standard deviation is a statistical tool used to measure the amount of variation or dispersion in a set of data points. In the context of risk management, standard deviation provides a measure of how much an investment's returns deviate from its average return. This information is crucial for risk managers as it helps them assess the volatility and uncertainty associated with an investment or portfolio.
By analyzing the standard deviation, risk managers can gain insights into the potential risks and fluctuations in returns, allowing them to make informed decisions regarding asset allocation, risk tolerance, and hedging strategies. Furthermore, standard deviation enables risk managers to compare and evaluate different investments based on their level of risk, supporting the process of portfolio diversification and risk mitigation.
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(Thank you) question down there
Val dove 2.5 times farther than her friend.
To represent the difference in depth between Val and her friend, we can subtract their respective depths. Val's depth is -119 feet, and her friend's depth is -34 feet.
The equation to represent the difference in depth is:
Val's depth - Friend's depth = Difference in depth.
(-119) - (-34) = Difference in depth.
To subtract a negative number, we can rewrite it as adding the positive counterpart:
(-119) + 34 = Difference in depth.
Now we can simplify the equation:
-85 = Difference in depth.
The result, -85, represents the difference in depth between Val and her friend. However, since the question asks for how many times farther Val dove compared to her friend, we need to express the result as a multiplication equation.
Let's represent the number of times farther Val dove compared to her friend as 'x'. We can set up the equation:
Difference in depth = x * Friend's depth.
-85 = x * (-34).
To solve for x, we divide both sides of the equation by -34:
-85 / -34 = x.
Simplifying the division:
2.5 ≈ x.
Therefore, Val dove approximately 2.5 times farther than her friend.
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we want to calibrate the camera of a robot vehicle using a linear method as described in the lectures. we place a large cubic frame of size 4 meters on the road several meters in front of the vehicle. the positions of the eight corners of the cubic frame are defined with respect to a world coordinate system with its axes parallel to the cube edges and with its origin at the center of the cube. the world coordinates of the cube vertices are:
Calibration needs to be performed periodically or whenever there is a significant change in the camera's setup, as it may affect the accuracy of the camera's measurements.
The following is an explanation of the same:
1. Place the large cubic frame (4 meters in size) on the road several meters in front of the robot vehicle. This cubic frame will act as a calibration target for the camera.
2. Define the positions of the eight corners of the cubic frame with respect to a world coordinate system. The world coordinate system has its axes parallel to the cube edges, and its origin is at the center of the cube.
3. To calibrate the camera, we need to find the world coordinates of the cube vertices. The vertices of a cubic frame with a 4-meter side length and the origin at the center will have the following world coordinates:
Vertex 1: (-2, -2, -2)
Vertex 2: (2, -2, -2)
Vertex 3: (2, 2, -2)
Vertex 4: (-2, 2, -2)
Vertex 5: (-2, -2, 2)
Vertex 6: (2, -2, 2)
Vertex 7: (2, 2, 2)
Vertex 8: (-2, 2, 2)
4. Capture an image of the cubic frame with the camera on the robot vehicle.
5. Use the linear method described in the lectures to determine the relationship between the camera's image coordinates and the world coordinates. This involves estimating the intrinsic and extrinsic parameters of the camera.
6. Once the camera parameters are estimated, you have successfully calibrated the camera of the robot vehicle using a linear method and a cubic frame.
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Tyler and his family had lunch at the museum cafeteria. Each person ordered a sandwich that cost the same amount, and they got $5 off their entire purchase with proof of admission to the special exhibit.if they paid a total of $35 after the discount, how much did each sandwich cost?
The cost of each sandwich is $20.
Amount paid is $35 and $5 is the off of their entire purchase.
So from this, we get that the total amount before the off is 35 + 5 = 40
So the original cost = $40
The total person is 2 i.e., Tyler and his family.
The cost of each sandwich = 40/2
= 20
Therefore the cost of each sandwich is $20.
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Evaluate 54 + c2 when c = 7
Answer:
68
Step-by-step explanation:
54 + c2
substitute c = 7 in the equation
54 +(7)2
54+14
=68
I just got done with state testing. there were two problems I didn't know how to do so I sorta guessed. But when I got home I had to figure out how to do it. Like I don't know why, but it bothers me when there is a problem I don't know how to solve. Am I the only one who is like this or nah?
Answer:
na u aint
Step-by-step explanation:
i get that feeling all the time it sucks
x²-__x +25=0
Fill in the Blank to make a perfect trinomial
Answer:
10
Step-by-step explanation:
A perfect square of \((a-b)^2\) should be in the form \(a^2-2ab+b^2\). In this case, \(a^2=1\), and \(b^2 =25\), so a=1 and b=5. Now, we need to find 2ab, so we do
2(1)(5)=10, so 10 goes in the blank.
A diver leaps from the edge of a diving platform into a pool below. The figure shows the initial position of the diver and her position at a later time. At time t seconds after she leaps, the horizontal distance from the front edge of the platform to the diver's shoulders is given by xXt and the vertical distance from the water surface to her shoulders is given by t), where x(t) and yt) are measured in meters. Suppose that the diver's shoulders are 11.4 meters above the water when she makes her leap and that d0.8 and dar 3.6 9.8t for Os ts A, where A is the time that the diver's shoulders enter the water. image y0) Note: Figure not drawn to scale Question 1 (3 points) Find the maximum vertical distance from the water surface to the diver's shoulders. Question 2 (2 points) Find A, the time that the diver's shoulders enter the water Question 3 (2 points) Find the total distance traveled by the diver's shoulders from the time she leaps from the platform until the time her shoulders enter the water. Question 4 (2 points) Find the angle e. 0くθ 〈 π , between the path of the diver and the water at the instant the diver's shoulders enter the water.
A- The maximum vertical distance from the water surface to the diver’s
shoulders are 12.061 meters.
B- The time that the diver’s shoulders enter the water is 1.936 seconds.
C- The total distance traveled by the diver’s shoulders from the time
she leaps from the platform until the time her shoulders enter the water is 12.946 meters.
D- The angle, θ between the path of the diver and the water at the instant the diver’s shoulders enter the water is 1.519.
A-
\(\frac{dy}{dx} =0\) only when \(t=0.36735\). Let \(b=0.36735\)
The maximum vertical distance from the water surface to the diver’s
shoulders is y(b)=11.4 + \(\int\limits^b_0 \frac{dy}{dT} dt = 12.061\) meters.
B-
\(y(A)=11.4+\int\limits^A_0 \frac{dy}{dt} dt = 11.4+3.6A- 4.9A^{2} =0\)
when A= 1.936 seconds.
C-
\(\int\limits^A_0 {\sqrt{(\frac{dx}{dt} )^{2} + (\frac{dy}{dt} )^{2} } } \, dt = 12.946 m\)
At time A, dy/dx = \(\frac{dy/dt}{dx/dt} | _{t=A} = -19.21913\)
D- The angle between the path of the diver and the water is \(tan^{-1} (19.21913) = 1.518 or 1.519\)
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A plane flies 452 miles north and
then 767 miles west.
What is the direction of the
plane's resultant vector?
Hint: Draw a vector diagram.
Ө 0 = [ ? ]°
Round your answer to the nearest hundredth.
Answer:
149.49° (nearest hundredth)
Step-by-step explanation:
To calculate the direction of the plane's resultant vector, we can draw a vector diagram (see attachment).
The starting point of the plane is the origin (0, 0).Given the plane flies 452 miles north, draw a vector from the origin north along the y-axis and label it 452 miles.As the plane then flies 767 miles west, draw a vector from the terminal point of the previous vector in the west direction (to the left) and label it 767 miles.Since the two vectors form a right angle, we can use the tangent trigonometric ratio.
\(\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$ \tan x=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $x$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}\)
The resultant vector is in quadrant II, since the plane is travelling north (positive y-direction) and then west (negative x-direction).
As the direction of a resultant vector is measured in an anticlockwise direction from the positive x-axis, we need to add 90° to the angle found using the tan ratio.
The angle between the y-axis and the resultant vector can be found using tan x = 767 / 452. Therefore, the expression for the direction of the resultant vector θ is:
\(\theta=90^{\circ}+\arctan \left(\dfrac{767}{452}\right)\)
\(\theta=90^{\circ}+59.4887724...^{\circ}\)
\(\theta=149.49^{\circ}\; \sf (nearest\;hundredth)\)
Therefore, the direction of the plane's resultant vector is approximately 149.49° (measured anticlockwise from the positive x-axis).
This can also be expressed as N 59.49° W.
which equation is equal to 72
The equation that is equal to 72 is 8 x 9.
1. To find the equation that is equal to 72, we need to consider different mathematical operations and numbers that can be combined to yield the desired result.
2. One way to express 72 is through multiplication. Let's try different combinations of numbers to see if any multiplication equation equals 72.
3. We can start by examining factors of 72. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
4. By testing various combinations of these factors, we can determine which one equals 72.
5. After evaluating the different combinations, we find that the equation 8 x 9 equals 72.
6. Therefore, the equation 8 x 9 is the one that is equal to 72.
It's important to note that there might be other equations or operations that can also yield a result of 72, such as addition or subtraction, but based on the given information, multiplication is the operation used to obtain the desired outcome.
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Choose the most appropriate name for the function described below.
The temperature of the coffee depends on the number of minutes it sits on
the desk.
Answer:
D. Temperature(minutes), or t(m)
Step-by-step explanation:
Option D is the correct answer.
( D.temperature(minutes), or t(m) )
Step-by-step explanation:
We are given that:
The temperature of the coffee depends on the number of minutes it sits on the desk.
i.e. the temperature(t) of coffee is a function of time in minutes (t).
i.e. times is a independent variable and temperature is a dependent variable.
Hence, the most appropriate name for the function described below is:
temperature(minutes), or t(m).
Hence, option D is correct.
Answer:
Temperature is the answer
Step-by-step explanation:
I got it right
This mysterious hand went to the mall and saw a massage chair
that he would have to take a loan out to purchase. The total of the
loan was $6600. The bank said that he could get a simple interest
rate of 8% for 5 years. What is the total amount that the mysterious
hand will pay for the chair?
Since the loan is at a simple interest rate of 8% for 5 years, the total amount that the mysterious hand will pay is:
Total amount = Principal + Interest
where Principal is the initial amount of the loan, and Interest is the amount of interest charged on the loan.
The interest charged on the loan can be calculated using the simple interest formula:
Interest = Principal x Rate x Time
where Rate is the interest rate per year, and Time is the time period in years.
Plugging in the given values, we get:
Interest = 6600 x 0.08 x 5 = 2640
So the total amount that the mysterious hand will pay is:
Total amount = 6600 + 2640 = 9240
Therefore, the total amount that the mysterious hand will pay for the massage chair is $9,240.
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The new horizons space probe was launched on january 19, 2006. assume that new horizons travels in a straight line, perpendicular to the launch site. an equation used to model the relationship between the distance, y , in miles, from earth to new horizons and the number of hours since being launched, x , is y=32,500x .
The slope of the equation y=32,500x means the probe is traveling at 32,500 miles per hour.
2.5 hours after launch, the distance to the probe is 81,250 miles from Earth's surface.
Distance is a numerical or sometimes qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance can represent an estimate based on physical length or other criteria (eg "two more counties"). Most of these concepts of physical and metaphorical distance are formulated in mathematics using the concept of metric space.
Probe runs vertically, hence letter "y". As stated in the question, units of y are miles.
According to the Question:
Time is represented by "x" in hours. The distance the probe travels is given by the equation y = 32 500x. This means that the probe covers "y" distance in "x" time. So, the tilt represents the speed of the probe in miles per hour, which means the probe is traveling at 32,500 miles per hour.
Now,
the probe distance for 2.5 hours is
y = 32 500x
Substitute 2 in the x value.
We get y as 81,250 miles.
Complete Question:
The New Horizons space probe was launched on January 19, 2006. Assume that New Horizons travels in a straight line, perpendicular to the launch site. An equation used to model the relationship between the distance, y, in miles, from Earth to New Horizons and the number of hours since being launched, x, is y=32,500x. Part A What is the meaning of the slope of the line defined by this equation? A New Horizons travels 32,500 hours after its launch. B New Horizons travels 32,500 miles per hour. C New Horizons travels 32,500 miles every day. D New Horizons travels 32,500 miles from Earth. Part B What is the distance, in miles, from Earth to New Horizons 2.5 hours after it is launched? The distance from Earth to New Horizons is miles.
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Which word is associated with multiplication when computing probabilities? Choose the correct answer below Disjoint O And O Not
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .
According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.
Therefore,
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
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A delivery company's charge for an overnight package weighing in excess of one pound is given by the formula c= 2.53w + 15, 16
where w is the weight of package in pounds. Find the following.
An alloy contains zinc and copper in the ratio 7 : 9. Find the weight of copper if it has 31.5 kg of zinc
24.5 kg
first you have to divide 31.5 by 9, which is 3.5
then you multiply 7 by 3.5 to get 24.5
the event containing the outcomes belonging to a or b or both is the __________ of a and b.
The event containing the outcomes belonging to a or b or both is the union of a and b.
Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)
The union of these two sets will give:
aUb=(x, y, z, o, p, q)
Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.
Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.
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