oint D is the center of the inscribed circle of ABC. Which step can you use to draw the inscribed circle of ABC
Answers
To draw the inscribed circle of triangle ABC with point D as the center, we can construct perpendicular bisectors of two sides of triangle ABC to determine their intersection point, which will be the center of the inscribed circle.
To draw the inscribed circle of triangle ABC, we know that the center of the inscribed circle lies at point D. One approach to finding the center is by constructing perpendicular bisectors of two sides of the triangle.
Step 1: Select any two sides of triangle ABC and locate their midpoints. These midpoints will serve as the starting points for the perpendicular bisectors.
Step 2: Construct perpendicular bisectors for each of the two selected sides. A perpendicular bisector is a line that intersects the midpoint of a line segment at a right angle, dividing the segment into two equal parts.
Step 3: Extend the two perpendicular bisectors until they intersect. The intersection point will be the center of the inscribed circle and can be denoted as point D.
Step 4: Use point D as the center and draw a circle passing through any of the vertices of triangle ABC. This circle will be the inscribed circle of the triangle, touching all three sides.
By following these steps, we can accurately draw the inscribed circle of triangle ABC with point D as its center. The inscribed circle is unique to the triangle and represents the largest circle that can fit inside the triangle, touching all three sides.
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Related Questions
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Consider the graph of h(r) , which represents the height of a golfball seconds after it has been hit.
Time (in seconds)
Which best describes the domain for the function h(I) ?
Answers
The Domain is 0 ≤ x ≤ 4 and Range is 0 ≤ y ≤ 80.
What is Domain and Range?The range of values that we are permitted to enter into our function is known as the domain of a function. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
We know that the domain of a function is the set of values that we are allowed to plug into our function.
From the Graph the x values ranges from 0 to 4.
So, domain is 0 ≤ x ≤ 4.
and, the range is the corresponding output for the input
From the Graph the y values ranges from 0 to 80.
So, Range is 0 ≤ y ≤ 80.
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Help me please I’ll give brainliest if your correct
Answers
To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:
x = -b/2a
where a = -5 and b = 286.
x = -b/2a
x = -286/(2(-5))
x = 28.6
So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).
Therefore, the widgets should be sold for $28.60 to maximize the company's profit.
Hope I helped ya...
Answer:
29 cents
Step-by-step explanation:
The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:
\(y=-5x^2+286x-2275\)
The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.
The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:
\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)
For the given equation, a = -5 and b = 286.
Substitute these into the formula:
\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)
\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)
\(\implies x_{\sf vertex}=\dfrac{286}{10}\)
\(\implies x_{\sf vertex}=28.6\)
Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.
Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.
A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. A smaller cylinder is cut out of a larger cylinder. The smaller cylinder has a diameter of 6 millimeters. The larger cylinder has a diameter of 8.4 millimeters. Both cylinders have a height of 10 millimeters. What is the volume of metal in the pipe? Use 3.14 for and round the answer to the nearest tenth of a cubic millimeter. 282.6 mm3 271.3 mm3 553.9 mm3 836.5 mm3
Answers
Answer:
its b
Step-by-step explanation:
got it right on edge
The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.
What is the volume of the cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
Where:
n = 22/7 r = radius = diameter / 2The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³
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Write and solve an equation to
find the number.
a) Seven less than twice a number
equals 19.
b) Eight decreased by 3 times a number equals 2.
Answers
Answer:
a. 13; Equation = 2N - 7 = 19
b. 2; 8 - 3N = 2
Step-by-step explanation:
a. 2N - 7 = 19
- 2N - 7 + 7 = 19 + 7
- 2N = 26 = 13
2 2
b. 8 - 3N = 2
8 - 8 - 3N = 2 - 8
- 3N = -6 = 2
-3 -3
evaluate the integral by interpreting it in terms of areas. 10 |x − 5| dx 0
Answers
The integral is ∫(10 |x − 5| dx) from 0 to 10.
This expression can be interpreted in terms of areas as the area between the function y = 10 |x − 5| and the x-axis from x = 0 to x = 10.
Notice that the graph of |x - 5| is a V-shaped graph with its vertex at (5, 0), so the graph is symmetric about the line x = 5. Therefore, we can split the integral into two parts, from 0 to 5 and from 5 to 10.
When x is between 0 and 5, |x - 5| = 5 - x, so the integral becomes:
∫(10(5 - x) dx) from 0 to 5
= [10(5x - (x^2)/2)] from 0 to 5
= (125 - 125/2) - 0
= 62.5
When x is between 5 and 10, |x - 5| = x - 5, so the integral becomes:
∫(10(x - 5) dx) from 5 to 10
= [10((x^2)/2 - 5x)] from 5 to 10
= 0 - (125 - 125/2)
= -62.5
Therefore, the area between the function and the x-axis from x = 0 to x = 10 is:
62.5 + (-62.5) = 0
So, ∫(10 |x − 5| dx) from 0 to 10 = 0.
helpppppppppppppppp i dont know this
Answers
Answer:
f(- 3) = - 16
Step-by-step explanation:
To evaluate f(- 3) with x = - 3 in the interval x ≤ - 2, then
f(- 3) = 5x - 1 = 5(- 3) - 1 = - 15 - 1 = - 16
Find the ratio of the surface areas of these two spheres
Answers
Answer:
4:1
Step-by-step explanation:
Answer:
nd the formula for the surface area of a sphere of radius R is 4*Pi*R2. And, you can check that the latter is the derivative of the former with respect to R.
During summer vacation, Tori read, on average, 40 pages per night. Now that she has returned to school, she is averaging 5% fewer. How many pages per night is Tori averaging now?
Answers
Answer: 38 pages per night
Step-by-step explanation:
Tori used to read an average of 40 pages per night but now she is going at a rate that is 5% slower.
To find the number of pages she is reading now, first find 5% of 40 pages:
= 5% * 40
= 2
Then subtract this figure from 40:
= 40 - 2
= 38 pages per night
By deducting 5% from the reading quantity, the person is reading at 5% less.
8 less than a number x is more than 5 times that same number.
Answers
Answer:
x < -1/2
Step-by-step explanation:
x - 8 > 5x
-8 > 5x -x
-8 > 4x
Divide through by 8
-1/2 > x or x < -1/2.
That is ofcourse if I interpreted the first part correctly.
for a project in her geometry class, janelys uses a mirror on the ground to measure the height of her school building. she walks a distance of 6.35 meters from the building, then places a mirror flat on the ground, marked with an x at the center. she then walks 3.6 more meters past the mirror, so that when she turns around and looks down at the mirror, she can see the top of the school clearly marked in the x. her partner measures the distance from her eyes to the ground to be 1.55 meters. how tall is the school? round your answer to the nearest hundredth of a meter.
Answers
Answer:
Step-by-step explanation:
professor smith ran a simple regression equation using midterm exam scores to predict final exam scores. the r square was 0.91 and this was statistically significant (p
Answers
The the final exam score according to the linear equation is 69. Thus, Option A is correct.
According to the statement
we have to find that the exam of the midterm which is Y with the help of the given equation.
So, For this purpose, we know that the
The value of p is 0.0001 and the given equation is Y=1.5 + .9(75).
Which is a linear equation.
So,
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
So, From given equation
Y=1.5 + .9(75).
Solve this equation
Y = 1.5 + 67.5
Y = 69.
So, The the final exam score according to the linear equation is 69. Thus, Option A is correct.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
Professor Smith ran a simple regression equation using midterm exam scores to predict final exam scores. The R square was 0.91 and this was statistically significant (p=0.0001). Using the following simple regression equation generated by Professor Smith, predict the final exam score Y when the midterm score is 75: Y=1.5 + .9(75).
A. 69
B. 55
C. 82
D. 91
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Help please !!
WHAT does this mean
Answers
The probability that the coin shows heads and the number is two is 0.05.
What is probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Here, we have
Given: you flip a coin and use a random number generator to generate a number from 1 to 10.
To find the probability, we need to use that we have two independent events. First, flip a coin, and second, generate a number from 1 to 10. They are independent events because their occurrence is not dependent on any other event.
P(A∩B) = P(A).P(B)
Where A represents the event of flipping a coin
B represents the event of generating a number from 1 to 10.
P(A) = 1/2, P(B) = 1/10
P(A) = 0.5 and P(B) = 0.1 we need to replace their values in the initial formula
P(A∩B) = 0.5× 0.1
P(A∩B) = 0.05
Hence, The probability that the coin shows heads and the number is two is 0.05.
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helpppl me plsssss I need help
Answers
Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from home to the history museum is six and seven-tenths kilometers. A. 670 m B. 6,700 m C. 0. 067 m D. 67,000 m.
Answers
By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m
What is relation between metre and kilometre?
Relation between metre and kilometre is that 1 kilometre =1000 metre
we know that kilometre and metre are two units of distance and we can convert data from one to another using their relation
Now here given distance is in kilometre
and distance is67 kilometre
We can convert 67 kilometre in metre as
67 kilometre = 67 \(\times\)1000metre
67 kilometre = 67000 metre =67000 m
By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m
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Answer: ( B ) (6,700)
Step-by-step explanation:
i checked the question on my quick check
(Segment Proofs)
Given: K is the midpoint of JL, M is the midpoint of LN
JK = MN
Prove: KL LM
Answers
Answer:
It's proved below
Step-by-step explanation:
We are given;
- K is the midpoint of JL
- M is the midpoint of LN
By definition of mid points, we can say that;
JK = KL and LM = MN
Now, we are given that JK = MN.
Thus, by substitution, we can deduce that; KL = LM
Thus is because JK can be replaced with KL and MN can be replaced with LM.
Thus, it is proved that KL = LM
When calculating a chi square, the _____ frequencies are based on the information from our sample data.
Answers
When calculating a chi-square, the observed frequencies are based on the information from our sample data.
When calculating a chi-square, the observed frequencies are based on the information from our sample data. The observed frequency (f_obs) is the frequency that a certain event or category actually appears in our data.
We use observed frequencies to test if there is any significant difference between the observed and expected frequencies.
Chi-square is a test used to examine the association between two variables. It compares the observed frequencies to the expected frequencies to test the null hypothesis that there is no association between the variables.
The formula for calculating chi-square is:χ2=Σ(f_obs−f_exp)2f_exp , where χ2 is the chi-square statistic, f_obs is the observed frequency, f_exp is the expected frequency, and Σ is the sum of all categories or events.
The chi-square test is used in many fields, including biology, psychology, sociology, and marketing. The test helps to determine if two categorical variables are independent or not.
The chi-square test can also be used to compare observed frequencies to expected frequencies in a contingency table. It can be used to determine if there is a significant difference between the expected and observed frequencies.
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I need help with this homework
Answers
Answer:
Step-by-step explanation:
P(even) fraction: 12/25 %: 48%
P(more than 20) fraction: 1/5... %: 20%
P(even and more than 20) fraction: 2/25 %: 8%
P(less than 5 or more than 20) fraction: 9/25 %: 36%
P(prime and less than 10) fraction: 4/25 %: 16%
P(multiple of 5) fraction: 1/5 %:20%
Please help and thank you
Answers
Answer:
A. \(4^3*6^3\)
Step-by-step explanation:
First, you solve the given equation.
\((4*6)^3\\\\=24^3\\=13824\)
You solve the multiple choice afterwards. Since choice A was given first, we managed to find the answer.
\(4^3 * 6^3\\\\=64 * 216\\=13824\)
Choice A has the same answer as the given equation, making them equivalent.
Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answers
Answer:
8.42
Step-by-step explanation:
* means multiply
31.65/5.45 = x/1.45
5.45x = 31.65 * 1.45
5.45x = 45.8925
x = 45.8925/5.45
x = 8.42064220183
Find the quotient using multiplication.
3/4 ÷ 6/7
Fill in the blanks to show the steps.
Answers
Answer:
1) 3/4 x 7/6
2) 21/24
3) 7/8
Step-by-step explanation:
1) KCF, Keep change flip. 3/4 stays the same, division sign changes into multiplication, and 6/7 changes into its reciprocal.
2) Multiply numerator by numerator and denominator by denominator
3) Find their greatest common factor (GCF) and divide the numerator and denominator by it. There's your simplified answer.
Answer:
7/8
Step-by-step explanation:
Divide 3/4 with 6/7
3
4
÷
6
7
is
7
8
.
Steps for dividing fractions
Find the reciprocal of the divisor
Reciprocal of
6
7
:
7
6
Now, multiply it with the dividend
So,
3
4
÷
6
7
=
3
4
×
7
6
=
3 × 7
4 × 6
=
21
24
After reducing the fraction, the answer is
7/8
Graph the line that represents the equation
y+2=1/2 (x+2)
Answers
Answer: your answer is correct because if you put that equation into y=mx+b form you get y=1/2x-1
so you start at -1 and go over 2 and up 1 and you woulld land on 2
so you would graph at (2,-1) i think
If a matrix A is 5 x 3 and the product AB is 5 x 7, what is the size of B?
Answers
The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].
Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.
Let A is a 3 x 5 matrix and B is a 5 x 7 matrix
We know that matrix multiplication of A and B is possible if
Number of columns of A = Number of rows of B
Since in the given problem
Number of columns of A = Number of rows of B = 5
So the product is possible
Now the product AB is a matrix of order 3 × 7
Now the order of the product AB is 3 × 7
If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.
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f(x)=5x+10 solve when f(x)=20
Answers
When f(x) = 20
Then
5x + 10 = 20
Therefore
5x=20-10=10
x = 10 / 5 = 2
x= 2
round 523 to the nearest ten
Answers
Answer:
523 to the nearest ten is 520
2k=ak+7
Solve for k
Show your work
Answers
Answer:
k=a+7
Step-by-step explanation:
Take 1 k away from both sides. I hope you found this useful!
Answer:
k = \(\frac{7}{2-a}\)
Step-by-step explanation:
2k = ak + 7 ( subtract ak from both sides )
2k - ak = 7 ← factor out k from each term on the left side
k(2 - a) = 7 ( isolate k by dividing both sides by (2 - a) )
k = \(\frac{7}{2-a}\)
Solve for x using the Master Product.
6x²x2=0
Answers
Answer: 0
Step-by-step explanation:
12x^3
divide both sides by 12
x^3=0
The number of copies of a book sold the year it was released was 600,000. Each year after that, the number of copies sold decreased by 1/2.
Answers
I am very unsure what your question is, but the simple tip is to divide it by two each year as it is decreasing by a half..
To find the number of copies sold in subsequent years, you can use the formula:
N = N0 * (1/2)^t
where N is the number of copies sold in a given year, N0 is the initial number of copies sold (in this case, 600,000), t is the number of years since the book was released.
For example, to find the number of copies sold in the second year after the book was released:
N = 600,000 * (1/2)^1
N = 300,000
So, 300,000 copies were sold in the second year. To find the number of copies sold in subsequent years, you can continue to plug in values of t and solve for N.
URGENT PLEASE, I don't know how to do this
Answers
Answer:
20x +1
Step-by-step explanation:
do the exponite first. 4X4=16. then add on 4x, 16x+4x=20x, then add on 1
Twice w is at least-18
Answers
The solution to the inequality "Twice w is at least -18" is w ≥ -9.
We have,
The inequality "Twice w is at least -18" can be expressed mathematically as:
2w ≥ -18
To solve for w, we can divide both sides of the inequality by 2.
However, when dividing by a negative number, the inequality sign must be flipped. In this case, since we are dividing by 2 (a positive number), the inequality sign remains the same.
w ≥ -18 / 2
w ≥ -9
Therefore,
The solution to the inequality "Twice w is at least -18" is w ≥ -9.
This means that w must be greater than or equal to -9 for the inequality to hold true.
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