The points B(7,-9), C(7,-2), and D(0, 0) form a triangle. Plot the points then
click the "Graph Triangle" button. Then find the perimeter of the triangle. Round
your answer to the nearest tenth if necessary.
Click on the graph to plot a point. Click a point to delete it.
-109-8
5 6 7
с
9
10
Answers
The perimeter of the triangle formed by the points B(7,-9), C(7,-2) and D(0,0) is 25.68 square units.
Perimeter is defined as the distance or the enclosed path that surrounds the 2-D shapes or polygon. The perimeter of a triangle is the sum of all the three sides of a triangle.
The perimeter of a triangle formed by the points B(7,-9), C(7,-2) and D(0,0) can be determined by finding the distance between two points.
The distance between two points A(x1,y1) and B(x2,y2).
√[(x2-x1)²+(y2-y1)²]
Therefore, BC = √(7-7)²+(-2+9)²
BC = √49
BC = 7 square units.
and CD = √(0-7)²+(0+2)²
CD = √53
CD = 7.28 square units.
and DB = √(7-0)²+(-9-0)²
DB = √130
DB = 11.40 square units.
Therefore, perimeter of triangle formed from given points is BC+CD+DB = 7+7.28+11.40 = 25.68 square units.
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Related Questions
Could someone please answer and explain the following question?
Answers
Answer:
see explanation
Step-by-step explanation:
the error in the question is that
sec²x = \(\frac{1}{cos^2x}\) ≠ \(\frac{1}{sin^2x}\) , and
csc²x = \(\frac{1}{sin^2x}\) ≠ \(\frac{1}{cos^2x}\)
have been used incorrectly in simplifying the expression
then
\(\frac{tan^2x+1}{1+cot^2x}\)
= \(\frac{sec^2x}{csc^2x}\)
= \(\frac{\frac{1}{cos^2x} }{\frac{1}{sin^2x} }\)
= \(\frac{1}{cos^2x}\) × \(\frac{sin^2x}{1}\)
= \(\frac{sin^2x}{cos^2x}\)
= tan²x
The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month. Minutes 500 750 1,000 1,250 1,500 Total Monthly Cost (in dollars) $62 $77 $92 $107 $122Choose the correct linear model that represents the total monthly cost as a function of time. A y = 0.06 x + 500, B y = 16 x + 32,C y = 62 x + 16, D y = 0.06 x + 32 .
Answers
Answer:
ytyt
Step-by-step explanation:
tyt5667
Find the selling price is a store pays $215 for a television and the markup is 25%
Answers
215 x 1.25=
268.75
$268.75
#8 - A card is drawn from a standard deck of playing cards. Find the probability that youdraw a face card.o 23.1%O 19.2%O 21.2%o 25%
Answers
Given:
The objective is to find the probability of drawing a face card from a deck of card.
The number of cards in a deck is, N = 52.
The number of face cards in a deck is, n(E) = 12.
Then, the required probability can be calculatad as,
\(\begin{gathered} p(E)=\frac{n(E)}{N} \\ =\frac{12}{52} \\ =0.231 \\ =23.1\text{ percentage.} \end{gathered}\)Hence, option (A) is the correct answer.
What is 83/100 simplified?? PLEASE answer quick?
Answers
Answer:
Step-by-step explanation:
83/100 is already simplified. You can not make it smaller.
write the equation of the line that passes through (-2,1) and is parallel to y=2x-3 in point-slope form
pls help
Answers
Answer:
\(y-1=2(x+2)\)
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the line we need to find is 2.
So, the equation is \(y-1=2(x+2)\).
If x is a binomial random variable with n = 20 and p = 0.25, the expected value of x is:_________
Answers
The expected value with a sample size of 20 and a probability of 0.25 will be 5.
What is the expected value?The anticipated value is an extension of the weighting factor in statistical inference. Informally, the anticipated value is the simple average of a significant number of outcomes of a randomly selected variable that was separately chosen.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
If x is a binomial random variable with n = 20 and p = 0.25. Then the expected value is given below.
E(x) = 20 x 0.25
E(x) = 5
The expected value with n = 20 and p = 0.25 will be 5.
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paige just finished a road trip where she visited the following square pyramids: the bent pyramid and the red pyramid. the table below shows the approximate dimensions of the two pyramids. dimensions of pyramids base side length height bent pyramid 619 feet 332 feet red pyramid 722 feet 341 feet paige has to write a paper on volume for school and needs some help. what is the difference in volume of the two pyramids, rounded to the nearest cubic foot?
Answers
The difference in volume between the two pyramids is 12,371,740 cubic feet.
To find the volume of a square pyramid, you use the formula :
V = (1/3)Bh, where B is the area of the base and h is the height.
Using the dimensions given in the table, we can calculate the volumes of the two pyramids:
- Volume of Bent Pyramid = (1/3)(619 feet * 619 feet)(332 feet) = 26,384,053.33 cubic feet
- Volume of Red Pyramid = (1/3)(722 feet * 722 feet)(341 feet) = 38,755,793.33 cubic feet
To find the difference in volume between the two pyramids, we subtract the smaller volume from the larger volume:
38,755,793.33 - 26,384,053.33 = 12,371,740 cubic feet.
Rounding to the nearest cubic foot, the difference in volume between the two pyramids is 12,371,740 cubic feet.
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In a class of 27 students, 10 have a brother and 12 have a sister. There are 4 students who have a brother and a sister. What is the probability that a student who has a sister also has a brother?
Answers
Answer:
1/3
Step-by-step explanation:
10 students have a brother.
12 students have a sister.
4 students have a brother and a sister.
6 students have only a brother.
8 students have only a sister.
4 students have a brother and a sister.
Given that a student has a sister, there are 12 such students (8 with only a sister and 4 with a brother and a sister).
Of those 12 with a sister, there are 4 with a brother and a sister, so there are 4 out of 12 with a sister who also have a brother.
p = 4/12 = 1/3
alex is x years old. june is 7 years older than alex. in 5 years, their total combined age will be 31 years. write a linear equation for their total combined age in 5 years
Answers
The linear equation for their total combined age in 5 years is 2x + 17 = 31.
Describe the term linear equation?A linear equation is indeed an algebraic expression of the form y=mx+b, where the slope is m and b is the y-intercept, and only a constant and the first-order (linear) term are included.Let the age of Alex be x years old.
Let the age of June be 'y'.
June is exactly 7 years older than Alex.
y = x+7
In next 5 years, combined total age will be of 31 years.
(x+5) + (y+5) = 31
Now, the linear equation that models total combined age in 5 years
Replace y with (x+7)
x + 5 + (x+7) + 5 = 31
2x + 17 = 31
Thus, linear equation for their total combined age in 5 years is 2x + 17 = 31.
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please help, i'm timed. i'll give brainliest.
Answers
Answer:
The fourth dot is the correct answer.
Step by step:
1. The symbol is "less than", which means the arrow on a graph will be travelling left because the head of the arrow will point to the left.
2. It is an open dot because if it were closed, it would've had a "less than or equal to" symbol. ( Ex. ≤)
8. Determine the scalar equation of the plane that contains the points (3, -3, 2), (1, -7, 4) and (5, -4,2).
9. Determine the vector equation of the plane containing the lines
r = (1,2,4)+t(2,3,7) and r=(-1,1,5)+(-4,-6,-14) 10. Find the intersection, if any, of the line x = 5, y-7=-z+3 and the plane 2x+3y+42-10=0
Answers
1. The scaler equation of the plane is - 8x - 4y + 10z + 16 = 0.
2. The plane does not have a vector equation.
3. The point of intersection of the line and the plane is (5, 2/3, -14/3).
How to calculate the scaler equation of the line1. The formula that connects a plane's equation to its normal vector can be used to determine the plane's scalar equation. Two plane-based vectors must first be identified.
Our most choiced vectors will be v1 = 1, -7, 4 - 3, -3, 2 = -2, -4, 2, and v2 = 5, -4, 2 - 3, -3, 2 = 2, -1, 0. n = v1 x v2 = (-8, -4, 10) i the thing that connects v1 and v2. The plane's scalar condition is as follows: d = 0, where d may be a reliable variable.
When one of the available centers, such as (3, -3, 2), is entered into the condition, the result is d: -8(3) - 4(-3) + 10(2) + d = 0. By understanding for d, ready to pick that d = 16. In like manner, the plane's scalar state is - 8x - 4y + 10z + 16 = 0.
2. Using the heading vectors of the two lines, which we'll intimate to as u1 = (2, 3, 7) and u2 = (- 4, - 6, - 14), the plane's vector condition can be perceived. The cross result of u1 and u2 can then be used to select the normal vector to the plane: n = u1 x u2 = (0, 0, 0).
The fact that the cross product is the zero vector indicates that the two lines are parallel and do not share a distinct plane. As a result, the plane does not have a vector equation.
3. To find the intersection of the line and the plane, we substitute the parametric conditions of the line into the situation of the plane. Given the line x = 5, y - 7 = - z + 3, and the plane 2x + 3y + 42z - 10 = 0, we substitute x = 5 into the plane condition: 2(5) + 3y + 42z - 10 = 0.
Simplifying, we obtain -10 from 3y + 42z. 3(z + 4) + 42z = -10 is obtained by substituting the second line equation, y = z + 4, into this one. Settling for z, we track down z = - 14/3.
When we put this number back into the equation y = z + 4, we get y = -14/3 + 4 = 2/3. As a result, the point is where the plane and line meet (5, 2/3, -14/3).
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60 students have a mean iq of 100.4 with standard deviation 5.2. we wish to estimate with 99% confidence the mean iq of all students. we should use:
Answers
To estimate the mean IQ of all students with 99% confidence, we should use a confidence interval based on the t-distribution.
Given that we have a sample of 60 students with a mean IQ of 100.4 and a standard deviation of 5.2, we can use the t-distribution to construct a confidence interval for the population mean.
Since the population standard deviation is unknown and the sample size is relatively small, the t-distribution is appropriate for this scenario. With a desired confidence level of 99%, we would use the critical value associated with a 99% confidence level from the t-distribution.
By calculating the confidence interval using the sample mean, sample standard deviation, sample size, and the appropriate critical value from the t-distribution, we can estimate the mean IQ of all students with 99% confidence.
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- A theater seats 1,860 people. The last 6
shows have been sold out. Estimate the
total number of people attending the last
6 shows.
Answers
Answer:12,000
Step-by-step explanation:
I estimated 1,860 to the nearest thousands and got 2,000. I then multiplied 2,000 by 6 for the shows, & got 12,000. For the exact I multiplied 1,860 by 6 and got 11,160 people.
Please help this is algebra 1
problem is in the picture
Answers
Answer:
0,1,2,3,4,5
Step-by-step explanation:
You can not buy more than 5 books because you'd have a negative amount of money. So 0,1,2,3,4,5 are the possible values for b.
6)
What is the result of adding 20 to -20?
A)
-40
B)
-20
0
D)
40
Answers
Answer:
Zero
Step-by-step explanation:
This is called additive inverse
: a number that when added to a given number gives zero the additive inverse of 4 is −4
so the answer will be zero
0 is the answer
mark me as Brainliest plz
Answer need ASAP
Add -3 1/6 + 5 3/4 and write it as a reduced mixed number
-3 1/6 + 5 3/4 = ?
Answers
Answer: 2 5/6 I think.
Wait no. I just did the math and it would be 2 1/2
i have no idea about how to do it.
Answers
The blanks are filled as follows
Step one
Equation 2x + y = 18 Isolate y,
y = 18 - 2x
How to complete the stepsStep Two:
Equation 8x - y = 22, Plug in for y
8x - (18 - 2x) = 22
Step Three: Solve for x by isolating it
8x - (18 - 2x) = 22
8x - 18 + 2x = 22
8x + 2x = 22 + 18
10x = 40
x = 4
Step Four: Plug what x equals into your answer for step one and solve
y = 18 - 2x
y = 18 - 2(4)
y = 18 - 8
y = 10
So the solution to the system of equations is x = 40 and y = 10
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Sketch the phase portrait of dynamical system Xk+1 = AXk. Note: Your trajectories must clearly show its asymptotic behavior.
1) A= 0.3 0.4
-0.3 1.1
2) A= 5 -5
1 1
Answers
The phase portrait represents the behavior of a dynamical system by plotting the trajectories of its solutions in a phase space. It provides insights into the long-term behavior and stability of the system. The trajectories can show stable points, unstable points, limit cycles, or other types of behavior.
Sketch the phase portraits for the given dynamical systems.
1) A = 0.3 0.4
-0.3 1.1
To sketch the phase portrait, we need to find the eigenvalues and eigenvectors of matrix A. The eigenvalues λ and eigenvectors v satisfy the equation Av = λv.
Calculating the eigenvalues and eigenvectors, we find:
λ₁ = 0.7, v₁ = [1, -1]
λ₂ = 0.7, v₂ = [2, 3]
The phase portrait for this system will consist of two straight lines passing through the origin, corresponding to the eigenvectors. These lines represent the stable and unstable directions of the system. Since the eigenvalues are positive, the system is unstable.
2) A = 5 -5
1 1
Calculating the eigenvalues and eigenvectors, we find:
λ₁ = 6, v₁ = [1, 1]
λ₂ = 0, v₂ = [-5, 1]
The phase portrait for this system will consist of a stable line along the eigenvector corresponding to the zero eigenvalue (λ₂ = 0). In this case, it is the line spanned by the vector [1, 1]. The other eigenvector [−5, 1] corresponds to a saddle point.
Please note that the sketch of the phase portraits would be more accurate with arrows indicating the direction of the trajectories. However, since we are limited to text-based communication, I am unable to provide the visual representation.
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All of the following are true of betas and correlation coefficients EXCEPT: Group of answer choices Both betas and correlation coefficients can tell you something about the strength of a relationship. Betas describe the relationship between two variables exactly as correlations coefficients do. Betas from an analysis can be compared with other beta coefficients from the same analysis just as correlation coefficients can. Both betas and correlation coefficients can tell you something about the direction of a relationship.
Answers
Answer:
yes look at the eslotp uudh
Both betas and correlation coefficients can tell you something about the direction of a relationship. The corect option is D.
What is coorelation coefficient?The coefficient of variation is a ratio which is used to show the level dispersion of values or treatments around the mean of a set of values.
The coefficient of variation is the ratio of the standard deviation to the mean of a set of numbers or treatments. The higher the coefficient of variation the higher the dispersion from the mean.
The coefficient of variation is the best measure of risk for an isolated single asset. Beta is the a measure of how volatile a particular stock is compared to the market.
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The solution of 2x2 + x = 3 is shown below.
2x2 + x - 3= 0
(2x + 3)(x - 1) = 0
x = -1.5 or x = 1
Based on this work, the solution of the system of
equations is
{(-1.5, -6.5), (1,7)
{(-1.5, 9.5), (1,7)}
{(-1.5, 9.5), (1, 9)}
Answers
The algebraic manipulation shown above can be used to solve any system of linear equations with two unknowns is {(-1.5, -6.5), (1,7).
What is equation?An equation is a mathematical statement that to express our request. Is consists of 2 expression separated by an equal sign or can be contain numbers, variables and operator. Equation get be used to solve problems make prediction in describe relationship between different quantities. Equation can be also used to prison physical laws and other phenomena.
When solving a system of equations with more than two unknowns, the process is more complicated. Instead of solving the equations directly, one must use a combination of methods such as substitution, elimination, and graphing to find the solutions. Additionally, the solutions can involve more than one variable, which may not be easily expressed in terms of a single equation. In all cases, the goal is to find a set of values that satisfy all of the equations simultaneously.
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Answer:
I GOT IT RIGHTTTTT
Step-by-step explanation:
b or (-1.5,9.5),(1,7)
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide. The carpenter sketches a drawing of the tabletop on a coordinate plane. The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis. Which equation represents the tabletop?
Answers
Answer:
C
Step-by-step explanation:
x^2/12.25 + y^2/4 = 1
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide then, the equation of that ellipse would be \(\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1\)
What is the equation of ellipse if its major and minor axis and center are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with a major ellipse parallel to x-axis, then the equation of that ellipse would be:
\(\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1\)
Coordinates of its foci would be: \((h \pm c, k)\) where \(c^2 = a^2 - b^2\)
If its major axis is parallel to y-axis, then,
Coordinates of its foci would be: \((h , k\pm c)\) where \(c^2 = a^2 - b^2\)and its equation would be:
\(\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1\)
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide.
The carpenter sketches a drawing of the tabletop on a coordinate plane.
The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis.
then, the equation of that ellipse would be:
\(\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1\)
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Find the circumference of the circle with the given radies or diameter. Use n 314. Radius = 23 in
Answers
Answer:
the cercumference is 144.513
Step-by-step explanation:
in a two-way analysis of variance, a researcher tests for the significance of: group of answer choices three main effects. one main effect and an interaction. two interactions. two main effects and an interaction.
Answers
In a two-way analysis of variance, a researcher tests for the significance of two main effects and an interaction.
What is two-way analysis of variance?A statistical test called two-way analysis of variance (ANOVA) compares the means of many groups using two independent variables (factors) and one dependent variable.
In a two-way analysis of variance (ANOVA), the researcher tests for the significance of two main effects and an interaction effect between two independent variables (factors) on a dependent variable. The main effects refer to the individual effect of each factor on the dependent variable, while the interaction effect refers to the combined effect of both factors on the dependent variable. Thus, the researcher aims to examine how each independent variable affects the dependent variable separately (main effects) and how their combination affects the dependent variable (interaction effect).
Therefore, in a two-way analysis of variance, a researcher tests for the significance of two main effects and an interaction.
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Help
Help
Helppppppppp
Help
Help
Help
Answers
Answer:
164 Cm^3
Step-by-step explanation:
Solution
V=
3
3
2
a
2
h
=
3
3
2
3
2
7
≈
163.6788
What is the slope of the line?
Answers
Answer:
-1
Step-by-step explanation:
Substitute the two points given into the slope formula:
m= y2-y1/x2-x1
m= 0-1/1-0
m=-1
The Slope is -1
Hope this helps! :)
If 2 2 x + 2 = 6 x - 4 , what is the value of x?
Answers
Answer:
x=3
Step-by-step explanation:
A pair of dice is rolled. Find the probability of rollinga) a sum not more than 3,b) a sum not less than 8,c) a sum between 6 and 11 (exclusive).
Answers
Answer:
Explanation:
Let's go ahead and list all the possible outcomes when a pair of dice is rolled;
\(\begin{gathered} (1,1),(1,2),(1,3),(1,4),(1,5),(1,6) \\ (2,1),(2,2),(2,3),(2,4),(2,5),(2,6) \\ (3,1),(3,2),(3,3),(3,4),(3,5),(3,6) \\ (4,1),(4,2),(4,3),(4,4),(4,5),(4,6) \\ (5,1),(5,2),(5,3),(5,4),(5,5),(5,6) \\ (6,1),(6,2),(6,3),(6,4),(6,5),(6,6) \end{gathered}\)We can see from the above that the total number of possible outcomes is 36
a) We're asked to determine the probability of rolling a sum not more than 3.
Let's list all the rolls that can produce a sum not more than 3;
\((1,1),(1,2),\text{and (2,1)}\)We can now find the probability as seen below;
\(\begin{gathered} P(a\text{ sum not more than 3) =}\frac{Number\text{ of favourable outcomes}}{\text{Total number of possible outcomes}} \\ =\frac{3}{36} \\ =\frac{1}{12} \end{gathered}\)b) To determine the probability of rolling a sum not less than 8, let's list all the rolls that can produce a sum not less than 8;
\(\begin{gathered} (2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3), \\ (6,4),(6,5),(6,6) \end{gathered}\)We can now find the probability as seen below;
\(P(\text{not l}ess\text{ than 8)}=\frac{15}{36}=\frac{5}{12}\)c) To determine the probability of rolling a sum between 6 and 11(exclusive), let's list all the rolls that can produce a sum 7, 8, 9, and 10;
\(\begin{gathered} (1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,3),(4,4),(4,5),(4,6),(5,2),(5,3), \\ (5,4),(5,5),(6,1),(6,2),(6,3),(6,4) \end{gathered}\)We can now find the probability as seen below;
\(P(a\text{ sum betwe}en\text{ 6 and 11(exclusive)})=\frac{18}{36}=\frac{3}{6}=\frac{1}{2}\)Find the area of the shaded portion if we know the outer circle has a diameter of 4 m
and the inner circle has a diameter of 1.5 m.
6
9
O
12
15
12.6 m²
1.8 m²
18
43.2 m²
21
10.8 m?
Ma
Answers
The area of the shaded portion is 10.8 square meters.
To find the area of the shaded portion, we need to subtract the area of the inner circle from the area of the outer circle.
Step 1: Calculate the radius of the outer circle by dividing the diameter by 2.
Radius of the outer circle = Diameter / 2 = 4 m / 2 = 2 m
Step 2: Calculate the area of the outer circle using the formula:
Area of the outer circle = π * (radius^2) = π * (2^2) = 4π m²
Step 3: Calculate the radius of the inner circle using the same method:
Radius of the inner circle = Diameter / 2 = 1.5 m / 2 = 0.75 m
Step 4: Calculate the area of the inner circle:
Area of the inner circle = π * (radius^2) = π * (0.75^2) = 0.5625π m²
Step 5: Subtract the area of the inner circle from the area of the outer circle to get the shaded area:
Shaded area = Area of the outer circle - Area of the inner circle
= 4π m² - 0.5625π m²
= (4 - 0.5625)π m²
= 3.4375π m²
Step 6: Approximate the value of π as 3.14 and calculate the numerical value of the shaded area:
Shaded area ≈ 3.4375 * 3.14 m² ≈ 10.80375 m²
Therefore, the area of the shaded portion is approximately 10.8 square meters.
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An architect builds a model of a park in the shape of a rectangle. The model is 40. 64 centimeters long and 66. 04 centimeters wide. One inch equals 2. 54 centimeters. Use the ratio table to find the ratio of the length to the sum of the length and width in inches and in simplest form.
length 40. 64
width 66. 04
A. 8:21
B. 13:21
C. 21:13
D. 21:8
Answers
For a rectangle model of park, the ratio of length of rectangle model to the sum of the length and width in inches is equals to the 8:21. So, option(A) is right one.
We have an architect builds a model of a park in the shape of a rectangle. The dimensions are defined as
The length of rectangle model of park
= 40.64 centimeters
Width of rectangle model = 66.04 cm
There is one inch equals to the 2.54 centimeters. We have to determine the ratio of the length to the sum of the length and width in inches. Using the unit conversion, one inch = 2.54 centimeters
=> 1 cm = 1/2.54 inches
So, length of model in inches = \( \frac{1}{2.54} × 40.64 \) = 16 inches
Width of rectangle model in inches = \( \frac{1}{2.54} ×66.04\) = 26 inches
Now, the sum of length and width inches = 16 + 26 = 42 inches
The ratio of length to the sum of length and width in inches = 16 : 42
=> \( \frac{16}{42}\)
= \( \frac{8}{21}\)
Hence, required value is 8:21.
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