Considering the circle of the given equation, and comparing to the standard equation of a circle, it is found that the given circle has radius is of [tex]\frac{1}{5}[/tex].
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is given by:
[tex]\left(x + \frac{1}{5}\right)^2 + \left(y - \frac{2}{5}\right)^2 = \frac{1}{25}[/tex]
Hence, the radius is found as follows.
[tex]r^2 = \frac{1}{25}[/tex]
[tex]r = \sqrt{\frac{1}{25}}[/tex]
[tex]r = \frac{1}{5}[/tex]
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Answer:
c 1/5
Step-by-step explanation:
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Hello I need help on this math question
Answer:
23
Step-by-step explanation:
three number x, y and z are in ratio 5:3:4.find the value of 2x-6y+2z
Answer:
-0
Step-by-step explanation:
In the Screenshot...….
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
expression that is equivalent to 27e+24
Answer:
3(9e + 8)
Step-by-step explanation:
the highest common factor is 3 so factor it out.
Answer:
[tex]\displaystyle 3[9e + 8][/tex]
Explanation:
Sinse you were not specific in your approach, it is safe to assume that you were probably looking for how to factour this expression, and the way to do to this is to factour a 3 out the expression sinse both quantities have a common divisour of 3:
24: 1, 2, 3, 4, 6, 8, 12, 24
27: 1, 3, 9, 27
I am joyous to assist you at any time.
The diagram shows the entrance to a tunnel.
The circular arc has a radius of 3m and center O.
AB is horizontal and angle AOB = 120°.
During a storm the tunnel filled with water, to the level shown by the shaded area in the diagram.
Calculate the shaded area.
Step-by-step explanation:
it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).
what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.
since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).
and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.
AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).
the area of this triangle AOB is
1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =
= 3.897114317... m²
a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).
so, it's area is
pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²
so, the total area of the shaded area is
3.897114317... m² + 4.71238898... m² =
= 8.609503297... m²
The area of the shaded portion of the circle is A = 8.61 m²
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the area of the shaded region be A
Let the radius of the circle be r = 3 m
The triangle ΔAOB is an isosceles triangle with side lengths = 3m
The area of the triangle ΔAOB = ( 1/2 ) x 3 x 3 x sin (120)
On simplifying the equation , we get
The area of the triangle ΔAOB = 3.897 m²
Now ,
There are 2 sectors , with sector angle = 30°
The area of the two sectors = 2 x ( 30/360 ) x π x 3²
On simplifying the equation , we get
The area of the two sectors = 2 x 2.357
The area of the two sectors = 4.714 m²
Now ,
The area of the shaded region of circle A = area of the two sectors + area of the triangle ΔAOB
Substituting the values in the equation , we get
The area of the shaded region A = 4.714 + 3.897
The area of the shaded region A = 8.611 m²
Therefore , the value of A is 8.611 m²
Hence , the area is 8.611 m²
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Solve the equation 4 ( c - 3 ) = 8
Answer:
c=5
Step-by-step explanation:
4(c-3)=8 Distribute
4c-12=8 Add 12 to both sides
4c=20 Divide by 4 on both sides
c=5
Answer:
c = 5Step-by-step explanation:
METHOD 1:
4(c - 3) = 8 |divide both sides by 4
4(c - 3)/4 = 8/4
c - 3 = 2 |add 3 to both sides
c - 3 + 3 = 2 + 3
c = 5
METHOD 2:
4(c - 3) = 8 |use the distributive property: a(b - c) = ab - ac
4 · c - 4 · 3 = 8
4c - 12 = 8 |add 12 to both sides
4c - 12 + 12 = 8 + 12
4c = 20 |divide both sides by 4
4c/4 = 20/4
c = 5
Find the slope of the line y=7x–6.
Answer:
slope: 7
y-intercept: (0,−6)
Step-by-step explanation:
Which one doesn’t belong? A B C D
Answer:
A
Step-by-step explanation:
because its not an angle
Answer:
i would say a
Step-by-step explanation:
because b c and d sort of have an angle to them but a is straight
The angle of elevation to a nearby tree from a point on the ground is measured to be 65 degrees. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
102feets
Step-by-step explanation:
sin 65=92÷x
0.906=92÷x
x=102
please help fast!!! a shirt is regularly priced at $35.50 if it is discounted by 45% what is the sales price
Can anyone help me with this one Question on volume The diameter of a cylinder is 1 yd. The height is 12 yd. Find the volume of the cylinder.
Answer:
9.42 cube.yd
Step-by-step explanation:
Volume of cylinder= πr^2h
3.14 × 0.5 × 0.5 × 129.42 cube.ydPlease help on this
Answer:
5.025m
Step-by-step explanation:
The clothesline also creates an upside-down triangle with two sides being 5m, 0.5m, and the hypotenuse being the clothesline.
We can use the pythagorean theorem to find the length of the clothesline.
5 squared +.5 squared= the length of the clothesline squared
25+.25= the square root of 25.25
= 5.025
Answer:
Your answer would be:
5.025m
Step-by-step explanation:
5 sq + 0.5sq = the length of the clothesline sq
25 + 0.25= the square root of 25.25
= 5.025m
Have a great rest of your day
#TheWizzer
(PLS HELPP EASYY POINTS )
A company makes piñatas for special events such as birthday parties. One of their piñatas is in the form of a cone shaped hat. How much space do they have inside the piñata for candy if the piñata is 2 feet tall and 1.5 feet wide? Round to the nearest hundredth
I don't recognize this problem, please make sure the input is complete.
Quais os numeros naturais entre 893 e 991 que divididos por 23 deixam sempre o maior resto possível
Make x the subject K(x-a)=t
Answer:
x = t+ka/k
Step-by-step explanation:
First you take letter k and place it after =sign which brings (x-a) = t/k because if you shift any number or letter after the = sign it has to be the opposite sign. for instance if it's positive, it will turn negative after the equal sign and if it is multiplication, it will turn division
Then you open the brackets which makes x-a = t/k
Now you shift "a" after the equal sign which leads to our answer, x= t +ka/k
Answer:
x = [tex]\frac{t+ka}{k}[/tex]
Step-by-step explanation:
k(x - a) = t ← distribute parenthesis on the left side by k )
kx - ka = t ( add ka to both sides )
kx = t + ka ( divide both sides by k )
x = [tex]\frac{t+ka}{k}[/tex]
Is this a function pls someone tell me
Functions must pass the vertical line test. This means that for every x value there must be ONLY ONE y value.
We can see in this table that the x value 25 has two different y values. Therefore, this is NOT a function.
Hope this helps!
Answer:
yes
Step-by-step explanation:
If the line only goes through one point once than yes. Vertical line test.
Note: "While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value!"
Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!
Answer:
UM make a graph if you want so yea
Step-by-step explanation:
[tex]\\ \rm\rightarrowtail x^2-4x+3[/tex]
Use quadratic formula
[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm\sqrt{16-12}}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm 2}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=2\pm 1[/tex]
[tex]\\ \rm\rightarrowtail x=3,1[/tex]
Can someone please help me?
Question 4:
2x + 3y = 17 -- equation 1
5x + 6y = 32 -- equation 2
(equation 1) * 2
4x + 6y = 34 -- equation 3
(equation 2) - (equation 3)
x = -2 -- equation 4
plug (equation 4)'s value of x into (equation 1)
2(-2) + 3y = 17
3y - 4 = 17
3y = 21
y = 7
Thus the answer is x = -2 and y = 7
Question 5:
The vertex form of a quadrilateral looks like this:
[tex]y = a(x-h)^2 + k[/tex]
a : coefficient of [tex]x^2\\[/tex](h,k): coordinate of the vertex.The x-coordinate of the vertex is equal to '-b/2a'. Where b is the
coefficient of x, so:
[tex]h = -\frac{b}{2a} =-\frac{-8}{2*1} =4[/tex]
There is also another formula to find the y-value of the vertex
coordinate, but the easier way to find it is to plug it into the original
equation:
[tex]k=(4)^2-8(4) + 12= 16 -32 + 12 = -16 + 12 = -4[/tex]
Since we know now that h = 4 and k = -4 and that a = 1, lets plug it into
the original equation.
[tex]y = 1*(x-4)^2 - 4 =(x^2-4)-4[/tex]
Thus the answer is [tex]y = (x-4)^2 -4[/tex]
Hope that helps!
PLEASE HELP ASAP!! Also, please explain how to solve. Thank you
By evaluating the given relation, we conclude that the correct options are A, D, and G.
How to check if the points are on the graph?
We have the relation:
k = ∛(V/7)
Such that this relation gives us pairs of the form (V, k).
So, to check if the points belong to the graph of the relation, we need to evaluate the points on the given relation and see if the relation is true.
A) (0, 0) gives:
Evaluating in V = 0
k = ∛(0/7) = 0
So this point belongs.
B) (1, 1) gives:
k= ∛(1/7) = 0.52
So we have the point (1, 0.52) and the point (1, 1) then does not belong to the graph.
We just need to do that for all the points, evaluate V and see if k gives the same value as in the point.
With this method, we will see that the correct options are:
D) (7, 1)
k= ∛(7/7) = 1
G) (56, 2)
k= ∛(56/7) = ∛(8) = 2
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PLEASE HELP ASAP
EVERYTHING NEEDED IS IN THE PIC BELOW
Answer:
37.69
Step-by-step explanation:
There are 3 circles
Circle A ( radius = 6 cm )
Circle B ( radius = 4 cm )
Circle C ( radius = 2 cm )
the circumference of a circle is C = 2 Pi x r
from each circle we need half of the circumference
Circle A : P = 2pi x 6 / 2 = 6 pi
Circle B : P = 2pi x 4 / 2 = 4 pi
Circle C : P = 2pi x 4 / 2 = 2 pi
the perimetee of the shaded shape is = 6 pi + 4 pi + 2 pi = 12 pi = 37.69 cm
In diagram below?FG bisects
Answer:
107 should be your answer
Step-by-step explanation:
so to simplify it, its as simple as 180-146=34 and then 73+34=107, because BGC is vertical to AGD giving you most of the line, and from more math you can figure out that FGA is equal to 73 and vertical to EGB giving you the rest that you need.
∠A and ∠B are supplementary. The measure of ∠A is 96°. What is the measure of ∠B? Enter your answer in the box. °
Answer:
∠B = 84
Step-by-step explanation:
Supplementary angles add up to 180°, You would subtract 96 from 180 to find angle B.
Answer:
=> ∠B = 84
Step-by-step explanation:
Given :
∠A + ∠B = 180°
∠A = 96°
=> 96° + ∠B = 180
=> ∠B = 180-96
=> ∠B = 84
What is the coefficient for the 5th term of (2x-y)^8
Answer:
256x^8
Step-by-step explanation:
Hope this helped
Maybe mark brainiest?
Which best describes the range of the function f(x) = 2(3)x?
y > 0
y ≥ 0
y > 2
y ≥ 2
Answer:
y > 0
Step-by-step explanation:
if x = 0, y = 2
if x > 0, y > 0
if x < 0 , y > 0
The option that describes the range of the function f(x) = 2(3)x is A. y > 0.
How to illustrate the function?It should be noted that a function whose value us constant raised to the power of the argument especially the function where the constant is e.
The range of the value of y depends on x. Here, the option that describes the range of the function f(x) = 2(3)x is y > 0.
In conclusion, the correct option is A.
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EASY GIVING BRAINLIEST JUST GRAPH TO FIND ANSWER While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the first player's ball can be represented by the function g(x) = –2x2 + 13x + 7, where x represents the distance from the coach. The path of the second player's ball can be represented by the function h(x) = –x2 + 4x + 21.
Part A: Find the distances in which the two basketball paths will cross. Show all necessary calculations.
Answer:
2 ft, 7 ft
Step-by-step explanation:
We are interested in the values of x such that g(x) = h(x). These will be solutions of the difference g(x) -h(x) = 0. Hence the x-intercepts of a graph of g(x) -h(x) will be solutions to the problem.
__
The graph shows the difference between the paths will be zero at distances of 2 feet and 7 feet.
A model of a house is 6 inch wide and 8 inches long. If the actual house is
20 yards long, how wide is the actual house?
OA) 2.4 yd
OB) 4.8 yd
OC) 15 yd
OD 26 yd
Answer:
its 15 <3
Step-by-step explanation:
i did the quiz.
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Hello I need help on this math question
Answer:
Choice a 10 cm
Step-by-step explanation:
Volume of a sphere; 4/3 x 3.14(r^3)
Since we dont know the radius aka r, we can put in the different values until we get what we are looking for :)
!!!used an online calculator for this!!!
Choice a: 4188.79
Choice b: 50965.01
Choice c: 38792.39
Choice d: 5575.2
Since none of the answers are coming out as 4846.59, I would go with the closest one, choice a.
I really hope this helps!!
Please rate!!
Have a wonderful day!!
20 points, A right rectangular prism is 9.5 inches long, 4 yards wide and 3 yards tall what is its volume?
Answer:
114
Step-by-step explanation:
You first have to do L x W x H
which will be 9.5 x 4 x 3
that gives you 114
which is the answer 114!!
Please guys help me , i need help with this math work im not doing so good un math
Answer: If you need help on both here are both answers.... Answer 1- f(x)=6.50x+48.00 because Let
x ----> the number of adult tickets
f(x) ----> amount of money collected
To find the amount collected multiply the number of adult tickets by the cost and multiply the number of student tickets by the cost, and then sum the two quantities
The linear equation that represents this problem is
f(x)=6.50x+4.00(12)
f(x)=6.50x+48.00
and for Answer 2- Is 4
Angelina wins money in a competition. She is given the choice as to how she is paid.
Choice 1: Get $1 the 1st day, 2$ the 2nd day, $4 the 3rd day, 8$ the 4th day, and so on
Choice 2: Get 1,000,000 today.
a) With which method of payment will angelina get more money?
c) After how many days will the money Angelina gets from Choice 1 be approximately $1, 000, 000?
Answer:
Choice 120 daysStep-by-step explanation:
You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.
__
a)Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.
__
c)For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...
Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r
We want to find n such that ...
Sn ≥ 1,000,000
1 × (2^n -1)/(2 -1) ≥ 1,000,000
2^n ≥ 1,000,001 . . . . add 1
n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm
n ≥ 19.93
The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.
Helpppppp!!!
(Show work)
Answer:
Step-by-step explanation:
Part B: A"C