In the tangent line , Value of \(m\angle{VKT}\) is A)54°.
What is tangent line in the circle?A circle's tangent is a single-pοinted line that intersects the circle. The "pοint οf tangency" is the lοcatiοn where the circle and the tangent crοss. The radius οf the circle, with which it crοsses, is perpendicular tο the tangent. All curved shapes can be thοught οf as tangent. As a tangent is a line, it has an equatiοn as well.
The line that οnly tοuches the circumference οf a circle οnce is said tο be tangent tο it. Fοr each circled pοint, there can οnly be οne tangent. The tangent's pοint οf tangency is where it jοins the circle.
Here the given circle arc length mVPT = 234°. Then
arc length οf mVT = 360°-234° = 126°
Nοw using tangent line fοrmula in circle then,
=> \(m\angle{VKT}=\frac{mVPT-mVT}{2}\)
=> \(m\angle{VKT} =\frac{234\textdegree-126\textdegree}{2}\)
=> \(m\angle{VKT} =\frac{108\textdegree}{2} =54\textdegree\).
Hence the correct option is A)54°.
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Help pleaseeeerrreeeeeee
Answer:
A
Step-by-step explanation:
I do think its A, its not c or d because it is perpindicular, but i'm only in 6th grade and 10years so its either a or b
What is the definition of correspondence?
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.
Hope it helps!
Brainliest pls!
Follow me! :)
Answer:
The definition of correspondence is the act of conforming or agreeing with someone or something else. An example of correspondence is when a person acts in the same way she appears to think.
In simple terms, it means communication, generally looking at two things and identifying stuff about them
Hope that helps. x
subtract these numbers using the expanded format 74-34
Answer:
40
Step-by-step explanation: just subtract
The answer to this problem please and thank you
Answer:
C
Step-by-step explanation:
The red dotted line we see is the asymptote, which is a line that the functions will never cross.
The asymptotes we see currently is:
x = -3
and
x = 2
We can find the vertical asymptotes using the denominator of the function since the x value that makes the denominator 0 is the asymptote. Since -3 and 2 is the asymptote, the denominator of the function will be:
(x-2) (x+3)
If we look at the answer choices, we can see that C is the only option with a denominator of (x-2)(x+3), so that is our answer.
Answer:
C
Step-by-step explanation:
there are 2 vertical asymptotes at x = - 3 and x = 2
then the factors on the denominator will be (x + 3) and (x - 2)
then
f(x) = \(\frac{1}{(x-2)(x+3)}\)
Jerry has $5 and $10 bills in his wallet. He has a total of 7 bills in his wallet for a total of $50. How many bills does he have of each?
Answer:
Step-by-step explanation:
Giving Brainliest to who can solve!
Answer:
NF = 16
Step-by-step explanation:
Since N is the incenter of ΔABC then ND = NE = NF
ND = NE ⇔ 6x - 2 = 3x + 7 ⇔ 6x - 3x = 7 + 2 ⇔ 3x = 9 ⇔ x = 3
Now , we calculate ND:
ND = 6(3) - 2 = 18 - 2 = 16
and because NF = ND then NF is also equal to 16
Solve
y
= x2 + 23 for x.
O A. x= y - 23
O B. = +Jy + 23
O C. X = +VÝ - 23
D. X = y +23
Answer:
x = ±√(y - 23)
Step-by-step explanation:
y = x^2 + 23 may be solved for x as follows:
Subtract 23 from both sides, to isolate x^2:
x^2 = y - 23
Take the square root of both sides. We get:
x = ±√(y - 23)
Combined, Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, how many pens does Sanjay have?
Answer:Sanjay has 8
Step-by-step explanation: Because 8x4 equals 32 so thats how much tanya has a 32+8 equals 40. This is what I did I knew 10x4 is 40 so that couldn't be it so then I tried 8 because nine x four is 36 which would be to high so I tried 8 and it was perfect hope this helps.
If Combined, Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, then Sanjay have 8 pens.
What is Equation?Two or more expressions with an equal signs is called as Equation.
Given that Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, We need to find how many pens sanjay has.
Let sanjay has x number of pens.
Tanya has four times as many pens as Sanjay
So 4 times means four multiple of sanjay pens.
Tanya has four times as many pens as Sanjay can be write as 4x.
Combined of tanya and sanjay has 40 pens.
Combined means adding.
x+4x=40
Add the like terms
5x=40
Divide both sides by 5.
x=8
So Sanjay has eight pens and Tanya has 4(8)=32 pens.
Hence Sanjay have eight pens.
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A table is on sale for 68% off. The sale price is $147.20.
What is the regular price?
Answer:
Let's use "P" to represent the regular price of the table.
If the table is on sale for 68% off, then the sale price is 100% - 68% = 32% of the regular price.
We know that the sale price is $147.20, so we can write:
0.32P = $147.20
To find P, we need to divide both sides of the equation by 0.32:
P = $147.20 / 0.32
P = $460.00
Step-by-step explanation:
Answer:
$460 is the correct answer.
I need help please!!!
Answer:
Step-by-step explanation:
It's a little hard to read the graph you posted, but here's what I think the answer is:
The range of a function refers to all the possible values y could be. Looking at the graph, all the possible values of y are greater than 4. Range for this function written in interval notation would be:
[4, ∞)
This looks like the last choice in your screenshot, but please check!
-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
For what values of a and b is x^64 + ax^b +25 a perfect square for all integer values of x?
For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)
To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.
A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.
Let's examine the given expression: \(x^64 + ax^b\) + 25
For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.
So we have:\(x^64 + ax^64 + 25\)
Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)
By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)
Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)
From the second equation, we know that k = 25.
Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)
To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.
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What do x equal to
Answer quickly pls
Answer:
= 130°
Step-by-step explanation:
a far away exterior angle is equal to the sum of two far interior angles
50+80 = x
If g(x) = 4x - 6, find g(5).
Which of the following is NOT true about the hypotenuse of a triangle?
A. It is across from the right angle
B. It is always greater than 1
C. IT is always across from the largest angle in the triangle
D. It is the longest side
Depending on the length of the two sides of the triangle the length could be smaller than 1.
The answer that is not true is :
B. It is always greater than 1
help me
explain how to do this if you can
Answer:
Angle × = 23°
Step-by-step explanation:
All angles of a triangle are always equal to 180°.
So, we got the measurements of two angles already.
One is 67° and the other is 90° (right angle).
So, (67 + 90) + Angle × = 180°
157 + Angle × = 180°
Transpose 157 to the side if 180°.
Angle × = 180 - 157
Angle × = 23°
Hope it helps!
B=3x+9xy solving for x
Answer:
Dear its two variable function so either you should give me other function of x and y or you should give me condition to solve this problem
so see you next time
Step-by-step explanation:
5) (x3 – 4x2 + 9) = (x - 3)
Answer:
x=1
Step-by-step explanation:
(3x-4(2)+9)=x-3
3x+1=x-3
2x+1=3
2x=2
x=1
3 hundreds + 7 hundreds
Answer:
300 + 700 = 1000 or One Thousand
Step-by-step explanation:
The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. Which equation correctly models the ball’s height as a function of time?
The maximum height at the moment is 191.0625 ft.
What is the projectile's height?
Let's find out the projectile's maximum height now that we know what it is. The highest vertical location along the object's flight is considered to be its maximum height. The range of the bullet is defined as its horizontal displacement.
Here, we have
Given: The equation for a projectile's height versus time is h(t)=-16t²+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second.
The equation for a projectile's height versus time is
h(t) = -16t²+Vt+h
h = 2
V = 110
Substitute these values into the function
h(t) = -16t²+110t+2
Take the first derivative
h'(t) = -32t + 110
Equate the derivative with zero h'(t) = 0
0 = -32t + 110
110 = 32t
t = 110/32
t = 3.4375
Find the maximum height at the moment
t = 3.4375 (s)
h(3.4375) = -16(3.4375)² + 110(3.4375) + 2
h(3.4375) = -189.0625 + 378.125 + 2
h(3.4375) = 191.0625 ft
Hence, the maximum height at the moment is 191.0625 ft.
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30-28-25-21-16 next number
Answer:
10
Step-by-step explanation:
30 -2
28 -3
25 -4
21 -5
16 -6
= 10
Answer:
10
Step-by-step explanation:
Given the sequence 30, 28, 25, 21, 16, you want to know the next number.
DifferencesFirst differences between successive terms are ...
28 -30 = -2
25 -28 = -3
21 -25 = -4
16 -21 = -5
These are not constant, so this is not an arithmetic sequence. However, we notice the second differences are constant:
-3 -(-2) = -1
-4 -(-3) = -1
-5 -(-4) = -1
ApplicationThis observation tells us the next second difference is ...
-5 +(-1) = -6
And the next number in sequence is ...
16 +(-6) = 10
The next number is 10.
__
Additional comment
When a sequence of numbers is described by a polynomial or exponential, looking at differences (and their differences) can help determine the degree of the polynomial, or the common ratio of the exponential.
Here, the second differences are constant, so a second-degree (quadratic) polynomial will describe the sequence. The polynomial describing this sequence is ...
a(n) = 31 -(n)(n+1)/2
Dots sells T-shirts ($5) and shorts ($9). In April, total sales were $570. People bought 2 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?
The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Dots sells T-shirts ($5) and shorts ($9).
In April, total sales were $570. People bought 2 times as many T-shirts as shorts.Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,
\(5x+9y=570\)
Solve it further,
\(5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}\) ....1
People bought 2 times as many T-shirts as shorts. Thus,
\(x=2y\) ....1
Put the value of y form equation in this equation as,
\(x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60\)
Put this value of x in equation 2 as,
\(x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30\)
Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
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Theoretical propobility
Theoretical probability is the likelihood of an event occurring based on mathematical reasoning or analysis, rather than on empirical or experimental data.
What is probability?Probability refers to the likelihood of a particular event or outcome occurring. It is a measure of the chance of an event happening, and is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be determined by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many fields, including mathematics, statistics, physics, engineering, and finance, to make predictions and inform decision-making.
Here,
It is calculated using the laws of probability and assumes that all outcomes are equally likely to occur. Theoretical probability is often used in situations where it is not possible or practical to conduct experiments or collect data, such as in mathematical or statistical modeling.
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Which of the following is a factor of 24x^6 - 1029y^3?
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
Factors of Polynomials:When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.
When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.
Here we have
24x⁶ - 1029y³
Take 3 as common
=> 3(8x⁶ - 343y³)
As we know 8 = 2³ and 343 = 7³
=> 3[(2x²)³ - (7y)³]
From the algebraic identities
a³-b³ = (a-b)(a²+ab+b²)Take a = 2x² , b = 7y and apply above formula
=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]
=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]
Therefore,
(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)
Therefore,
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
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simplify (25-4)3^ times 5
Answer:
46305
Step-by-step explanation:
7 students are running for student council. how many different ways can their names be listed on the ballot
Step-by-step explanation:
7! = 5040 ways
What is the answer I need help and I can’t seem to figure it out
The new dimension of the rectangular field are 45 ft by 120ft.
How to find the new dimensions of the field?If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:
lenght = K*L
width = K*W
In this case the original dimensions are:
L = 30ft
W = 80ft
And the scale factor is K = 1.5, then the new dimensions are:
L' = 1.5*30ft = 45ft
W' = 1.5*80ft = 120ft
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A local courier service estimates its monthly operating costs to be $1500 plus $0.85 per delivery. The service generates revenue of $6 for each delivery. Let x = the number of deliveries in a given month. The function C(x) = .85x + 1500 represents the operating cost. The function R(x) = 6x represents the revenue generated. Knowing that profit = revenue - cost, write a function, P(x), that represents the monthly profits for making x deliveries per month.
Answer:
P(x) = 5.15 x + 1500
Step-by-step explanation:
The monthly operating costs = $1500 plus $0.85 per delivery.
The service generates revenue= $6 for each delivery
If in a given month the deliveries number was = x then;
Operating cost function : C(x) = 0.85x + 1500
Revenue generated function R(x) = 6x
Profit = Revenue - cost
P(x) = R(x) - C(x)
P(x) = 6x - 0.85x + 1500
P(x) = 5.15 x + 1500
Guys I really need your guys with this
Answer:
The correct answer is the third option: | 6 | is the distance between 0 and 6, and the distance is always positive regardless of direction.
Step-by-step explanation:
Distance is a physical measurement, which is never negative. Therefore, the absolute value of a number is never negative.
By this definition, if x is a positive number or 0, then its absolute value is x itself. If x is a negative number, then its absolute value is the additive inverse of x.
Since the absolute value is never negative, then the distance will always be positive, regardless of direction. That is why the third option is the correct answer:
| 6 | is the distance between 0 and 6, and the distance is always positive regardless of direction.