The true statement about the circle with center P is that triangles QRP and STP are congruent, and the length of the minor arc is 11/20π
The circle with center PGiven that the circle has a center P
It means that lengths PQ, PR, PS and PT
From the question, we understand that QR = ST.
This implies that triangles QRP and STP are congruent.
i.e. △QRP ≅ △STP is true
The length of the minor arcThe given parameters are:
Angle, Ф = 99
Radius, r = 1
The length of the arc is:
L = Ф/360 * 2πr
So, we have:
L = 99/360 * 2π * 1
Evaluate
L = 198/360π
Divide
L = 11/20π
Hence, the length of the minor arc is 11/20π
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Solve the equation by factoring. 2x^2 + 6x = -4
Answer:
x=-2 x=-1
Step-by-step explanation:
2x^2 + 6x = -4
Add 4 to each side
2x^2 + 6x +4= -4+4
2x^2 + 6x +4=0
Factor out 2
2( x^2 +3x+2) = 0
Divide by 2
x^2 +3x +2 =0
( x+2)(x+1) =0
Using the zero product property
x+2 =0 x+1 =0
x=-2 x=-1
Answer:
x = -1, -2
Step-by-step explanation:
Bring the constant term to the left hand side :
2x² + 6x = -42x² + 6x + 4 = 0Divide throughout by 2 :
(2x² + 6x + 4)/2 = 0/2x² + 3x + 2 = 0Splitting the middle term :
x² + x + 2x + 2 = 0x(x + 1) + 2(x + 1) = 0Factors obtained :
(x + 1)(x + 2)Finding the zeros :
x + 1 = 0 ⇒ x = -1x + 2 = 0 ⇒ x = -2Please Help !!! its a math problem What is the range of the quadratic equation whose graph contains the following points?
Vertex at (0, 4)
Other points on graph are (-2, 0), (-1, 3), (1, 3) and (2, 0).
The range tells us the possible y-values that occur in the function.
When describing the range, we can write an inequality using y.
Examples: y > 6, y ≤ 10When describing the range of a quadratic function, we typically use the ≥ or ≤ symbols when writing the inequality.
To write the range of a quadratic function,
Find the vertexDetermine whether the parabola opens up or downSet y ≥ or ≤ the y-coordinate of the vertex Solving the QuestionWe're given:
Vertex at (0,4)Other points on the graph: (-2,0), (-1,3), (1,3), (2,0)Because we're directly given the vertex, we just have to determine now whether the parabola opens up or down.
If the other points on the graph always have a lower y-coordinate value, then the graph opens downIf the other points on the graph always have a greater y-coordinate value, then the graph opens upThe other points that fall on the graph that we're given all have a lower y-coordinate value than 4, that means this parabola opens down.
Therefore, all other y-values for the function will be less than 4.
Therefore, y ≤ 4.
Answery ≤ 4
Please help!!!! Find the value of x.
Answer: 84
Step-by-step explanation:
Express sin(-184) as a function of a positive acute angle.
The sin(-184) can be expressed as cos 86° as a function of a positive acute angle.
How do you express a trigonometry function as a positive acute angle?
To express a trigonometry identity as a function of a positive acute angle, we need to find the quadrant in which that given identity is located.
Here, we have a negative trigonometry identity: Sin (-184)
Recall that:
the sine is negative in the third quadrant(III)So, to turn that to a positive sign, we add 360
=sin(-184 + 360)
= sin(176)
To find the positive acute angle, we have:
x = cos(176 - 90)
x = cos 86°
Therefore, we can conclude that the sin(-184) can be expressed as cos 86° as a function of a positive acute angle.
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Please answer Asapp (Will give brainliest)!
Answer:
There is no answer as there is no question.
Step-by-step explanation:
Answer:
I added the answer to your newest problem :D
Step-by-step explanation:
Hope it helped!
HELP PLEASE FAST TY!!!!!!!!!!
Answer:
what is tge problem its to blurry
-10
Which system of inequalities is shown in the graph?
A)
x - 2y > 8 or x - 2y ≤ -6
x - 2y < 8 or x - 2y 2-6
x - 2y > -8 or x - 2y ≤ 6
x - 2y <-8 or x - 2y ≥ 6
B)
G
D)
-5
10-
0
-10+
5
10
Answer:
x - 2y > 8 or x - 2y ≤ -6
Step-by-step explanation:
I used desmos
I hope this helps!!!
GIVING BRAINLIEST!!!!!
Answer:
D' : (2, 1)
E' : (2, 3)
A' : (5, 3)
Step-by-step explanation:
Answer:
D' = (2, -3)
E' = (2, -1)
A' = (5, -3)
Step-by-step explanation:
Coordinates are :
D = (-4, -4)E = (-4, -2)A = (-1, -4)The transformation rule is :
(x , y) ⇒ (x + 6, y + 1)Point D'
D' = (-4 + 6, -4 + 1)D' = (2, -3)Point E'
E' = (-4 + 6, -2 + 1)E' = (2, -1)Point A'
A' = (-1 + 6, -4 + 1)A' = (5, -3)List one algebraic equation with a distributive property
Answer:
3(4x+6)=24
Step-by-step explanation:
The distribute property is when you distribute the what is inside of the parentheses.
Answer:
an example would be -5(x+9)=-5
now distribute -5 to x and -5 to9
= -5x-45= -5
Consider the diagram below:
What is the relationship between the two highlighted angles?
They are corresponding angles.
They are consecutive interior angles
They are vertical angles.
They are alternate interior angles.
Answer:
The are consecutive interior angles.
Jason cycles 14.5 km in 50 min. Express his speed in km/h.
Answer:
i got 17.4km/H pretty sure im right
help me please i need help
Answer:
if you want to, I can explain it to you in more details
The radius of a semicircle is 9.1 centimeters. What is the semicircle's perimeter?
Answer:
28.6 cm
Step-by-step explanation:
Given radius of semicircle (r) = 9.1 cm
perimeter of a semicircle = πr
= 22/7 × 9
= 22 × 1.3
= 28.6
How large should n be to guarantee that the Simpson's Rule approximation to 1 7ex2 dx 0 is accurate to within 0.0001
We need a maximum enlargement of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.
What is the estimation of the accuracy of Simpon's Rule?The estimation of Simpson's rule follows an approach where the value of the definite integral [tex]\int\limits^a_b f{x} \, dx[/tex] is approximated by using a parabolic method of approximation for each subinterval of the interval [a, b].
The formula for calculating Simpon's rule can be expressed as:
[tex]\mathbf{\int ^b_a f(x) d \simeq \dfrac{\Delta x}{3}[y_o+4y_1+2y_2+4y_3+2y_4+...+4{y_{n-1} +y_n}}[/tex]
Given that:
[tex]\mathbf{\int ^1_0 7ex^2 dx }[/tex],
where a = 0, b = 1, [tex]\mathbf{f(x) = 7 e^{x^2}}[/tex]We need to determine the fourth derivative; i.e.
[tex]\mathbf{f'(x) = 14xe^{x^2}}[/tex]
[tex]\mathbf{f''(x) = 14ex^2 +28x^2e^{x^2} = (14+28x^2)e^{x^2}}[/tex]
[tex]\mathbf{f'''(x) = 56xe^{x^2} +2(14+28x^2)e^{x^2} = (84x+48x^3)e^{x^2}}[/tex]
[tex]\mathbf{f^{iv}(x) = (84+144x^2)e^{x^2} +2x(84x+48x^3)e^{x^2} = (84x+312x^2+96x^4)e^{x^2}}[/tex]
The maximum value of the 4th derivative on the interval [0,1] is:
[tex]\mathbf{f^{iv}(1) = 624e}[/tex] and the error is bounded by:
[tex]\mathbf{\Bigg| \dfrac{f^{iv}(1) (1-0)^5}{180n^4} \Bigg| = \dfrac{624e}{180n^4}=\dfrac{52e}{15n^4}}[/tex]
Now for the error to be less than 0.0001; we have:
[tex]\mathbf{\dfrac{52e}{15n^4} < 0.0001}[/tex]
[tex]\mathbf{52e < 0.0015n^4}[/tex]
[tex]\mathbf{n^4 > \dfrac{52e}{0.0015}}[/tex]
[tex]\mathbf{n > \sqrt[4]{ \dfrac{52e}{0.0015}}}[/tex]
n ≅ 17.52.
Therefore, we can conclude that we need a maximum of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.
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The two-way table shows the number of games played by a team divided into categories based on whether the team warmed up or not as well as whether they made more shots than they missed during the game.
One of these games is selected at random. For each question, Event A is “game played when warmed up” and Event B is “more shots made than missed.” Use the data to estimate the probabilities.
The probabilities are: 20/52, 31/52, 651/2704, 14/31
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in to predict how likely events are to happen.
given: Event A is “game played when warmed up” and Event B is “more shots made than missed.”
Now, P(A)= 20/52
P(B)= 31/52
P(A and B)= P(A)*P(B)
= 20/52*31/52
= 651/2704
P(A|B)= 14/52÷31/52
=14/31
Hence, the probability is: 20/52,31/52,651/2704 and 14/13
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What is the total area of the following composite figure?
136.26 m 2
122.13 m 2
117.42 m 2
62.13 m 2
Step-by-step explanation:
there is a rectangle and an octagon within
area of rectangle = 8*9 = 72
there are 4 right angled triangles
area of one such triangle = .5 × 9 = 4.5
total area of triangles = 18
area of octagon = 72-18 = 54 m^2
In a cage there are 10 rabbits between males and females. 4 of them escape. What is the probability that 3 are female and only one is a male? There are originally 6 females and 4 males.
Please give answer in fraction and not percentage!
Answer:
[tex]\frac{8}{21}[/tex]
Step-by-step explanation:
let S be the sample space for this experiment.
card(S) = 10C4 = 210
Let E be the event “having 3 female and only one male”
card(E) = 6C3 × 4C1 = 80
therefore
p(having 3 female and only one male escaped) is 80/210
[tex]\frac{80}{210} =\frac{8}{21}[/tex]
The top few hits from a search engine claim that approximately 10% of the population in the United States is left-handed. From a random sample of 20 students at your high school, you find 6 left-handed students, which gives you reason to believe that the true parameter is greater than 10%.
Use the drop-down menus to complete the statements.
Using a random number table, let digits
represent left-handed individuals and let digits
represent right-handed individuals.
Moving left to right across a row, select
numbers at a time and record the proportion of left-handed individuals.
Answer:
ok but question should be more clear though this is hard to understand
Answer:
0, 1-9, 20
Step-by-step explanation:
Pre-calc 2021
HELPPPP THIS IS 7TH GRADE MATH AND IM CONFUSED (it’s the Jessica one btw)
What is the equation of this line in slope-intercept form?
Answer:
y = -2x + 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.
The y-intercept, b, is 5 because the line crosses that number once on the y-axis.
Find the ratio of 4cm and 8mm
Answer:
5 : 1
Step-by-step explanation:
Unit conversion (between cm and mm) : 1 cm = 10 mm
⇒ 4 cm : 8 mm
⇒ 4 x 10 mm : 8 mm
⇒ 40 mm : 8 mm
⇒ 5 : 1
For the function f(x) = x3
Find f(2) =
Find f(-2) =
Answer:
[tex]f(2) = 6[/tex]
Step-by-step explanation:
Substitute x=2 into f(x) x times 3
[tex]f(2) = 2 \times 3[/tex]
Calculate it
[tex]f(2) = 6[/tex]
Solve the equation, -(X/ d )=5 , for x . Which of the following properties of equality did you apply
Answer:
Multiplication
The solution of given equation x = -20
Step-by-step explanation:
step (i) :-
given equation = -(x/4) = 5
multiply '1' on both sides we get
[tex] = - (( - \frac{x}{4} )) = - 5[/tex]
[tex] = \frac{x}{4} = - 5[/tex]
step (ii) :-
multiply '4' on both sides we get
[tex] = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4[/tex]
Cancellation '4' on left side we get
x = -20
conclusion:-
The solution of given equation x = -20
round 8.48 to the nearest tenth
Answer:
8.50
Step-by-step explanation:
it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50
a sheet of paper is 0.1mm thick
a) A ream of paper has 500 sheets. how thick would 1 ream of paper be?
Answer:
a) 50 mmb) 1 200 sheet of paperStep-by-step explanation:
a) the thickness of one ream of paper :
= 0.1 × 500
= 50 mm
b) 12 cm = 12 × 10 = 120 mm
Then
the number of sheets that exist in a pile of papers that has a thickness of 12 cm :
= 120 ÷ 0.1
= 1 200 sheet of paper
Mrs. thomas wants to put a table in the corner of a room. she considers the measurements of these tables. table 1 length: 1.5 feet width: 2.4 feet diagonal: 3.0 feet table 2 length: 3.2 feet width: 2.8 feet diagonal: 4.0 feet table 3 length: 2.4 feet width: 3.2 feet diagonal: 4.0 feet table 4 length: 2.6 feet width: 1.8 feet diagonal: 3.0 feet the walls forming the corner meet at a 90º angle. which table will fit snugly in the corner? table 1 table 2 table 3 table 4
Table 3 will fit snugly in the corner of the room.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
From the given data we will check the value of the diagonal by applying the Pythagorean theorem.
So by using the Pythagorean theorem:-
D ² = L² + W²
D² = ( 2.4 )² + ( 3.2 )²
D² = ( 5.76 + 10.24 ) = 16
D = √16 = 4 feet
Therefore table 3 will fit snugly in the corner of the room.
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Answer:
Table 3.
Step-by-step explanation:
Person above is correct, I'm takin the test!!
The chance of winning based on the type of lottery tickets we purchase is 0.05, or 1 in 20. We will play each saturday until we win. What is the probability of winning on the fourth ticket?
a .05
b .0407
c .0475
d .04287
Answer:
Given that the probability of winning is = 0.05
So the probability of losing is = 1 - 0.05 = 0.95.
We are told we have a 1 in 20 chance
Success: 0.05
Failure: 0.95
P(X=4)= 0.95*0.95*0.95*0.05
So the chance is 0.04286 or Option D
Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?
A.
graph A
B.
graph B
C.
graph C
D.
graph D
Answer:
its C
Step-by-step explanation:
I used something else for it for it
Kelly plants 45 tulips in 30 minutes what is the unit rate?
Answer:
1.5 per minute
Step-by-step explanation:
unit rate is how many in 1 minute so 45 divided by 30 is 1.5 and if you want to check your answer do 1.5 x 30 which is 45
a 5 litre tin of paint covers 65cm wht area would 8 litres coverr
Answer:So I think the answer might be 88
Answer: 85 sqm
Step-by-step explanation: So 5 litres of Retail paint will cover 65sqm- one coat, and 5 litres of Trade paint will cover 85 sqm- one coat.