The inner center of any given triangle is the center of its inscribed circle
A triangle is a two-dimensional polygon having three sides. An incenter of a triangle is the intersection point of all three insides angle bisectors of the triangle. In other words, it can be characterized as the point where the inside angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s intersection point is the middle point of the triangle’s inscribed circle. The incenter of a triangle is the center of its inscribed circle which is the biggest circle that will fit the interior of the triangle. This circle is additionally called an incircle of a triangle.
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What is an example of a double fact?
For instance, the facts 1 + 1 and 2 + 2 are both doubles. A doubles fact is 4 + 4 = 8. Knowing the doubles facts can help us understand various extra tactics, such as doubles plus one. This method is applied when adding two consecutive integers, such as 2 + 3.
Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practice combining groups of the same number using manipulatives or other classroom supplies.
Let's see a few examples of double facts:
1 + 1 = 2
2 + 2 = 4
3 + 3 = 6
4 + 4 = 8
5 + 5 = 10
6 + 6 = 12
7 + 7 = 14
8 + 8 = 16
9 + 9 = 18
10 + 10 = 20
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Digitalis is a technology company that makes high-end computer processors. Their newest processor, the luteA, is going to be sold directly to the public. The processor is to be sold for $2800 , making Digitalis a profit of $452 . Unfortunately there was a manufacturing flaw, and some of these luteA processors are defective and cannot be repaired. On these defective processors, Digitalis is going to give the customer a full refund. Suppose that for each luteA there is an 12% chance that it is defective and an 88% chance that it is not defective. If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much?
The correct option regarding the expected profit of the company is given as follows:
Dugitalis can expected to make money from selling these processors.
In the long run, they should expect to make $116 on each processor sold.
How to obtain the expected value of a discrete probability distribution?The expected value of a discrete probability distribution is given by the sum of each outcome multiplied by it's respective probability.
The distribution of profits in this problem is given as follows:
P(X = 452) = 0.88 -> non-defective processors sold.P(X = -2348) = 0.12 -> defective processors.For the second probability, we have the number 2348, which is the cost of manufacturing each processor, as 2800 - 452 = $2,348.
Then the expected profit over time is given as follows:
E(X) = 0.88 x 452 - 2348 x 0.12 = $116.
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Why do we write proofs?
We write proof because it teaches us to use deductive and inductive reasoning. We apply this reasoning and logic to a variety of jobs, professions, and everyday happenings
One part of math that understudies frequently battle with, especially in calculation (which generally has been where confirmation is presented), is composing evidences.
We want confirmations in math, first, since we need to be certain that what we truly do is correct. There are an adequate number of wellsprings of blunder in our estimations, from loose estimation to misconception of the equations we ought to utilize, that it's critical to ensure that our reasoning doesn't add more mistake. Verification simply implies actually taking a look at our thinking.
Proving things is a perspective, and at last the benefit of learning different approaches to demonstrating things (two-segment confirmations, yet evidence by enlistment, verification by logical inconsistency, epsilon-delta verifications, etc) is that it ought to assist you with grasping the distinction between knowing something and not exactly knowing it by any means.
Thats why we write proof.
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for a fishing trip, debra is going to choose lures to put in her tackle box. she has 4 lures that are jigs and 9 that are spinnerbaits. In how many waits can she choose 6 lures if more than 4 must be spinnerbaits?
Answer:
1680
Step-by-step explanation:
How do you prove congruent in SAS?
SAS-side angle side.
What are congruent triangle?Two triangles are considered to be congruent when all three corresponding sides and angles have the same size.
Let's investigate the queries.
The SAS criterion for triangle congruence states that two triangles are congruent if they have two pairs of congruent sides and if the included angle—the angle between the congruent sides—of one triangle coincides with the included angle of the other.
If two triangles' two sides are equal and their angle at their intersections is also equal, we can claim they are congruent using SAS.
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4x+8y-3z=1 -5x-2y+6z=-6 9x+3y-10z=10
Multiply and write a fraction or mixed numbers in its simplest form
2/5 x 6/7
How do you identify a rational function equation and inequality?
To identify a rational function and inequality following steps are employed :
Rational function:
In an algebraic fraction, a rational function is one in which the numerator and denominator are both polynomials.Look at the equation itself and locate the expression "F(x)" to discover a rational function. This represents function in mathematics. It is certain that such an expression is a rational function if you find it.
Rational inequality
A reasonable expression must be present for an inequality to be considered rational. (A rational expression is just the product of two polynomials, in this case.Or to put it another way, it is a fraction using polynomials as the numerator and denominator.)Seek at the inequality itself and look for the symbol for inequalities " >, <, ≥, ≤, " to identify a sensible inequality. If neither a function nor an equality symbol are present it is sure that it is rational inequality.
Thus, we can identify a rational function and inequality
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Explore
A 100-unit-long line is split in half.
Half of the line is used to form one large circle.
The other half forms two identical smaller circles.
Which is larger?
The larger circle is, half of the line is used to form one large circle.
What is split in half?
To split or cause to split, especially violently, by cleaving into distinct pieces, typically into two nearly equal ones.
To split into a lesser number of things neatly or equally. The mirror collapsed and broke into three almost identical pieces.
Here, a 100-unit-long line is split in half.
That means a line is divided into two equal part with length 50 unit each.
Also, half of the line is used to form one large circle. The other half forms two identical smaller circles.
From this we can see that half of the line is used to form one large circle is always a lager circle.
And other half forms two identical smaller circles are the smaller circles.
Hence, the larger circle is, half of the line is used to form one large circle.
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Please help will mark Brainly
Answer:
is
Step-by-step explanation:
The domain of g is identical to the domain of f.
They both have the same slope which means they have the same domain.
Answer:
is NOT
Step-by-step explanation:
the equation of g(x) is not the same as f(x)
so, g(x) and f(x) are NOT identical (aka not the same)
*domain is different by looking at b-value
3. The number of pupils in Team A to the number of pupils in Team B is in the ratio 7:6. If 45 pupils are transferred from Team A to Team B, the ratio will become 2: 3. How many pupils are there in each team?
Answers:
Team A = 175 people
Team B = 150 people
This is before the 45 students transfer from A to B.
===========================================================
Explanation:
x = number of people in team A
y = number of people in team B
These counts are before the 45 pupils transfer from A to B.
The counts are in ratio 7:6, which means,
x/y = 7/6
6x = 7y
x = 7y/6
If we subtract 45 people from team A, we have x-45 people left. Those 45 people go to team B to have y+45 pupils there.
The quantities x-45 and y+45 are in ratio 2:3, so,
(x-45)/(y+45) = 2/3
3(x-45) = 2(y+45)
3x-135 = 2y+90
3(7y/6)-135 = 2y+90 .... plug in x = 7y/6
21y/6 - 135 = 2y+90
6*( 21y/6 - 135 ) = 6*(2y+90)
21y-810 = 12y+540
21y-12y = 540+810
9y = 1350
y = 1350/9
y = 150
x = 7y/6
x = 7(150)/6
x = 175
We have 175 people on team A, and 150 people on team B.
This is before the 45 students transfer from A to B.
-------------------
Check:
x/y = 175/150 = (7*25)/(6*50) = 7/6
This shows x and y are in ratio 7:6 to match the instructions.
x-45 = 175-45 = 130
y+45 = 150+45 = 195
(x-45)/(y+45) = 130/195 = (2*65)/(3*65) = 2/3
And we have the updated counts in the ratio 2:3, which matches the stated info in the instructions. The answers are fully confirmed.
Help me find answer!!!!!
Answer:
6 ≤ x ≤ ∞
Step-by-step explanation:
The domain is the "allowable inputs" or x-values. We know that there cannot be a negative number under a radical, so that means "x-6" must be greater than or equal to zero. Thus, we can set up the equation:
x - 6 ≥ 0
x ≥ 6 This is the domain
There aren't restrictions on positive x-values, so we can also write the domain as:
6 ≤ x ≤ ∞
which facts can you use to find 4x8
We can use a double strategy to find the value of the given expression, which is 32.
Mathematical expressions are combinations of numerical variables and operations denoted by subtraction, addition, multiplication, and division signs.
Doubles' strategy is adding two same single-digit numbers or two-digit numbers so we can get the result equal to a number multiplied by 2.
Given 4 x 8, we can evaluate this expression by using the double strategy as follows:
4 x 8 = 2 x 8 + 2 x 8
= 16 + 16
= 32.
Therefore, the value of the expression 4 x 8 is 32.
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What should be the remainder of the polynomial function for the divisor to be a factor?
Answer:
zero
Step-by-step explanation:
You want to know the remainder of the polynomial function for the divisor to be a factor?
DivisionA divisor is a factor of the dividend in any division problem if and only if the remainder is zero (0).
The divisor will be a factor of a polynomial function if division of the function by that divisor has a remainder of zero.
Given Ray BA bisects ∠CBD and the diagram below, what is m∠ABD?
The measure of the angle ∠ABD is 64 degrees
How to determine the measure of the angle?From the question, we have the following parameters:
Ray BA bisects ∠CBD
∠CBD = 5x + 18
∠ABC = 3x - 2
Because of the bisection, we have
∠ABC = ∠ABD
∠ABC * 2 = ∠CBD
Substitute the known values in the above equation, so, we have the following representation
(3x - 2) * 2 = 5x + 18
Open the brackets
6x - 4 = 5x + 18
Evaluate the like terms
x = 2
Recall that
∠ABC = ∠ABD
So, we have
∠ABD = 3x - 2
This gives
∠ABD = 3 x 22 - 2
Evaluate
∠ABD = 64
Hence, the angle is 64 degrees
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Find the equation of the line that passes through the point (3, 28) and has slope 11. Simplify your equation to the following form.
=11+____
Answer:
y=11x-5
Step-by-step explanation:
y=mx+b
28=11(3)+b
28=33+b
b=-5
y=11x-5
2. A standard package of pencils contains 24
pencils.
# of
packages
# of
pencils
127
?
1
?
3
?
4
?
6
1
2
?
Answer:
12, 24,72,96,156
Step-by-step explanation:
1/2 package would be 1/2 of 24 which is 12
21 x 24 = 24
3 x 24 = 72
4 x 24 = 72
We know that 3 packages is 72 so 6 packages is double that at 144. We also know that have a package is 12. so 144 + 12 = 156
Answer:
1/2 package = 1/2 of 24 = 12 pencils
1 package = 24 pencils
3 packages = 24*3 = 72 pencils
4 packages = 24*4 = 96 pencils
6 1/2 packages = 24*6.5 = 156
Step-by-step explanation:
1 package = 24 pencils
1/2 package = 1/2 of 24 = 12 pencils
1 package = 24 pencils
3 packages = 24*3 = 72 pencils
4 packages = 24*4 = 96 pencils
6 1/2 packages = 24*6.5 = 156
Finding the multiplier to give a final amount after a percentage increase or decrease
With percent increase or decrease situations, you have to consider the starting point as being 100%. So if the account increased by 27%, it's now 100% + 27% or 127% of it's original value.
As a decimal, 127% = 1.27. So 1.27 is your multiplier in this example.
And 1.27 • 7600 = 9652, which is the ending balance.
This gets the same result as finding 27% of 7600 and adding it back on to 7600, but does it more efficiently.
A radio is bought at 550 and sold at a profit of 35. What is the selling price?
The selling price of the radio with a cost price of 550 and sold at a profit of 35 is 585.
What is selling price?The selling price is how much a buyer pays for a product or service.
To calculate the selling price of the radio, we use the formula below.
Formula:
S.P = C.P+Profit............ Equation 1Where:
S.P = Selling Price of the radioC.P = Cost price of the radioFrom the question,
Given:
C.P = 550Profit = 35Substitute these values into equation 1
S.P = 550+35S.P = 585.Hence, the selling price of the radio is 585.
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The width of a rectangular slab of concrete is 10m less than the length. The area is 24 m ^2
The width and the length of the slab are 2 meters and 12 meters, respectively
How to determine the dimensions of the slab?From the question, we have the following parameters that can be used in our computation:
Width of a rectangular slab of concrete = 10m less than the length.
Area = 24 m²
These parameters can be represented as
Width = Length - 10
Area = Length * Width
So, we have
w = l - 10
A = lw
Also, we have
A = 24
Substitute w = l - 10 in A = lw
A = l(l - 10)
So, we have
l(l - 10) = 24
Expand
l² - 10l = 24
This gives
l² - 10l - 24 = 0
Expand
l² + 2l - 12l - 24 = 0
Factorize
(l + 2)(l - 12) = 0
So, we have
l = -2 and l = 12
The length cannot be negative
So, we have
l = 12
Recall that
w = l - 10
So, we have
w = 12 - 10
Evaluate
w = 2
Hence, the dimensions are 2 meters and 12 meters, respectively
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Possible question
The width of a rectangular slab of concrete is 10m less than the length. The area is 24 m ^2
Compute the dimensions of the slab
4y when y=-3 what is the value
Answer:
-12
Step-by-step explanation:
y=-3
4y means 4(y)=4(-3)
so 4×-3 =-12
12. The hourly temperatures at Eppley Airfield Airport in Omaha, Nebraska, in May 2014 are approximately normally distributed with a mean of 64.4˚F and a standard deviation of 12.2 ˚F. The z-score of the lowest temperature is −2.49. What is the lowest temperature? Round your result to the one’s place.
The lowest temperature with a z score of of -2.49 is 24.0 ˚F
How to find the temperature with a z score of -2.49Z scores, measures the amount of standard deviation sample X is from mean. the formula is below
z = (X - μ) / σ
Definition of variables
mean, μ = 4.4˚F
standard deviation, σ = 12.2 ˚F
X = lowest temperature
z = -2.49
substituting into the formula
-2.49 = (X - μ) / σ
-2.49 = (X - 64.4) / 12.2
-2.49 * 12.2 = X - 64.4
-30.378 + 64.4 = X
X = 34.022
X = 34.0 (to one decimal place)
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PLEASE HELP!
I BELIVE ITS SINE BUT I NEED A SECOND OPINON
IM SO CONFUSED!! DUE SOON PLEASE HELP BEEN STUCK ON THIS FOREVER!
QUESTION DOWN BELOW!
MANY THANK!!
You're answer is (A) The cosine law only
What is the cosine law?
Law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle.
Answer: The correct answer is (#1) the cosine law only.
Step-by-step explanation: Confirmed correct.
What are the 4 types of functions?
The four types of functions are one one function , Onto function , Many One function and Into function ,
In the question ,
we have been asked about the four different types of functions ,
the four types of functions are defined as ,
(1) One - to - One Function
A function defined as f: A → B , is said to be one one if every element of set A is connected to a distinct element in set B.
The one one function is also called as injective function.
(2) Onto Function
A function defined as f: A → B , is said to be onto if every element in set B has a pre-image in set A.
The onto function are also called as subjective function.
(3) Many One function
A function defined as f: A → B , is said to be Many One if more than one element of the set A are connected to same element in set B .
(4) Into functions
A function defined as f: A → B , is said to be Into if the elements in the set B are excess and are not connected to any elements in the set A.
Therefore , the four types of Functions are defined above .
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(a)In a certain board game, players spin a spinner to determine how many spaces they advance. The odds in favor of advancing five spaces are 3/10. Find the probability of advancing five spaces.
(b)Ravi has a box of candies with different flavors. He will randomly choose one piece of candy. The probability that he chooses a strawberry-flavored piece is 6/19. What are the odds against him choosing a strawberry-flavored piece?
The probability of advancing five spaces is 0.2307.
Given that, the odds in favor of advancing five spaces are 3/10.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
The probability of advancing five spaces can be obtained as:
P =Odds/1+Odds
= [tex]\frac{\frac{3}{10} }{1+\frac{3}{10} }[/tex]
= [tex]\frac{\frac{3}{10} }{\frac{13}{10} }[/tex]
= 3/13
= 0.2307
Therefore, the probability of advancing five spaces is 0.2307.
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What is LCD and how do I do it in math??
Answer:
LCD is the abbreviation for Least Common Denominator.
Step-by-step explanation:
To find the LCD of two numbers, you list out the multiples of each number. Then you look for the smallest multiple of both numbers and there you have it!
For example, if we had to find the LCD of 4 and 3, we'll first list out the multiples of both.
4: 4, 8, 12, 16, 20, ...
3: 3, 6, 9, 12, 15, ...
The first least multiple we found in those two numbers is 12.
Therefore, the LCD would be 12.
I’ll give branniest show a image of your finished work
Graph the system of inequality and shade the solution.
3x-2y<4
-2x-6y<-12
The graph of the inequality with the solution is plotted and attached
What is inequality n math?Inequality is a mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
The graph of the two inequalities are plotted and some features of the graph include dashed lines: this is because no part of the inequalities has equal to
From the graph the two graphs intersect at point (2.182, 1.273)
The y-intercepts are marked on the graph
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Journee and her brother were arguing over who was responsible for the dishes. Journee explained to her brother that she had washed the dishes the last three nights
Her brother replied, "Sure, but that's just because you're a nerd with nothing better to do." Which logical fallacy has Journee's brother used?
O Ad hominem
Oad populum
Answer: Ad Hominum
Step-by-step explanation:
It just attacks the person.
If l 1m, then <1 is a right angle
Right angle is an angle of 90 degrees while complementary angles add up to 90 degrees.
What are complementary angles and right angles?When the sum of two angles is 90°, then the angles are known as complementary angles.
A right angle is an angle of 90°.
Perpendicular lines are lines that intersect at a 90° angle. Perpendicular lines forms a right angle.
The complementary angle theorem states, "If two angles are complementary to the same angle, then they are congruent to each other".
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25/24 as a decimal rounded to the nearest tenth
Answer:
1.0
Step-by-step explanation:
Hope this helps! :)
The solution is, 1.0 when 25/24 as a decimal rounded to the nearest tenth .
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, we have,
given that, 25/24
now, we have to rounded to the nearest tenth
as decimal, so, we have to divide 25 by 24
i.e. 25/24 = 1.041
we get, 1.041 => 1.0
so, it is 1.0 a decimal rounded to the nearest tenth
Hence, The solution is, 1.0 when 25/24 as a decimal rounded to the nearest tenth .
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