Answer:
r = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + [tex]\frac{1}{5}[/tex] )² + (y - [tex]\frac{2}{5}[/tex] )² = [tex]\frac{1}{25}[/tex] ← is in standard form
with r² = [tex]\frac{1}{25}[/tex] , then
r = [tex]\sqrt{\frac{1}{25} }[/tex] = [tex]\frac{1}{5}[/tex]
The radius of the circle is, r = 1/5 units.
What is equation of circle?An equation of circle with center (h, k) and radius 'r' is,
(x - h)²+(y - k)² = r²
For given example,
the equation of the circle is, (x+1/5)^2+(y-2/5)^2=1/25
By comparing with standard equation of circle (x - h)²+(y - k)² = r²,
we have h = -1/5, k = 2/5 and r² = 1/25
We need to find the radius of the circle,
r² = 1/25
By taking square-root,
we have r = 1/5 units
Therefore, the radius of the circle is r = 1/5 units.
Learn more about equation of circle here:
https://brainly.com/question/10618691
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What is the measure of the base of the triangle? The base of the triangle b has a measure of inches.
Answer:
27
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
how is 1848/2310=4/5
Answer:
Step-by-step explanation:
1848 / 2310 == 4 / 5 = True
6. y=-x
Point:
Slope:
Answer:
Slope= -1
Step-by-step explanation:
The point is X
Answer:
-1
Step-by-step explanation:
because the number in front of the x is your slope
Claudia invests £25000 at a rate of 2% per year compound interest.
Calculate the total amount of interest she will have earned after 5 years.
Give your answer correct to the nearest penny.
Answer:
27602.02
Step-by-step explanation:
Principal = £25,000
Rate of interest = 2% per year.
Number of years = 5 years
Formula,
=> £25000 * (1 + [tex]\frac{2}{100}[/tex] )^5
=> £25000 * 1.02^5
=> £25000 * 1.1040808
=> £27602.02
Therefore, the amount = £27602.02
Rounded to the nearest penny is £27602.02
Hope it helps :)
This picture shows a rectangle with length (3D+2)cm and width (d+5)cm.
————
| |
| |
| |3d+2
| |
| |
————
D+5
A) write an expression for the perimeter of the rectangle
B) given that the perimeter is 30cm, make and solve and equation for d.
C) find the area of this rectangle
9514 1404 393
Answer:
A) P = 8d +14
B) d = 2
C) 56 cm^2
Step-by-step explanation:
A) The perimeter is the sum of all of the side lengths.
P = 2(L +W)
P = 2((3d +2) +(d +5)) = 2(4d +7)
P = 8d +14
__
B) Using 30 for P, we have ...
30 = 8d +14
16 = 8d . . . . . . . subtract 14
2 = d . . . . . . . . . divide by 8
__
C) The side lengths are ...
3d +2 = 3(2) +2 = 8 . . . . cm
d+5 = 2+5 = 7 . . . . cm
Then the area is ...
A = LW
A = (8 cm)(7 cm) = 56 cm^2
The area of the rectangle is 56 square centimeters.
EASY 15 POINTS!
what is the area?
shape below
358 in^2
94 in^2
168 in^2
242 in^2
Answer:
Area of rectangle= 24 × 7 = 168
Area of trapezium = ((a+b)/2)h = 74
Total area = 168 + 74 = 242
Answer:
242in^2
Step-by-step explanation:
Area of parallelogram is
1/2(a+b)×h
a=13in
b=24in
h=4in
= 1/2(13+24)×4
=1/2(37)×4
so the area of the parallelogram is
=74in^2
Area of rectangle is
L×B
L=24in
B=7in
=24×7
=168in^2
so the area will be the sum of the area of parallelogram and rectangle
=74in^2+ 168in^2
=242in^2
Ross has 6 1/3 yards of material. He bought 2 1/6 more
yards. Then he used 6 5/6 yards. How many yards of material does he
have left?
Answer:
[tex]1\frac{2}{3}[/tex] yards
Step-by-step explanation:
Answer:
Ross has 1 [tex]\frac{2}{3}[/tex] yards of material left
Step-by-step explanation:
(6 [tex]\frac{1}{3}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]
(6 [tex]\frac{2}{6}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]
8 [tex]\frac{3}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex]
7 [tex]\frac{9}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex] = 1 [tex]\frac{4}{6}[/tex]
Simplify
1 [tex]\frac{2}{3}[/tex]
What is the answer to 2x + 3y=18 5x - 3y=3? Hurry pls.
Answer: Solve for
[tex]y= \frac{5x}{3} -1\\or \\y=-\frac{2x}{3} +6\\[/tex]
Step-by-step explanation:
Solve for X.
What is the length y? Round to the nearest tenth.
Answer:
y = 5.3Step-by-step explanation:
It is assumed XYZ is a right triangle.
y/10 = sin 32°y = 10 sin 32°y = 5.3what is the equation of the line that passes through the points (4,3) and (6, 2)?
Answer:
y = -1/2 x + 5
Step-by-step explanation:
1) y = mx + b
2) m is the slope and b is the y-intercept
3) For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m = y2 - y1 / x2 - x1
4) Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.
5) Now, just plug the numbers into the formula for m above, like this: m = -1/2
6) So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this: y = -1/2 x + b
7) To find b, think about what your (x,y) points mean:
(4,3). When x of the line is 4, y of the line must be 3.
(6,2). When x of the line is 6, y of the line must be 2.
8) You can use either (x,y) point you want..the answer will be the same:
(4,3). y=mx+b or 3=-1/2 × 4+b, or solving for b: b=3-(-1/2)(4). b=5.
(6,2). y=mx+b or 2=-1/2 × 6+b, or solving for b: b=2-(-1/2)(6). b=5.
9) So, this means that the equation of the line is y = -1/2 x + 5
A CD player that regularly sells for $79.00 is on sale at a 15% discount.
Find the sale price of the CD player. Show your work.
Answer:65.15
Step-by-step explanation:
Answer:
$67.15
Step-by-step explanation:
100% - 15% = 85%
original price = 79
85% of 79 = sale price
85/100 * 79 = sale price
67.15
I will give brainly for the correct answer Pls. Also 50 Points
(a) What is 0.36 as 36 repeating expressed as a fraction in simplest form?
(b) What is 0.36 as 6 repeating expressed as a fraction in simplest form?
(c) What is 0.36 expressed as a fraction in simplest form?
Answer:
Step-by-step explanation:
A.the fraction is technically 36/99, but simplified version is 4/11
X = 0.36363636......
100x = 36.363636.....
100x - x =36.363636 - 0.363636....
99x=36
X=36/99
= 4/11
0.36363636363 is the first repeating fraction and 36.36363636 is the second repeating fraction, because you multiply it by 100.
b.0.3666 ... = 11/ 30
Explanation:
x = 0.3666 . .
(1) 10 x = 3.666 ...
(2) 100 x = 36.666 ...
(2)-(1):
100 x − 10 x = 36.666 ... − 3.666 ...
90 x = 33
x = 33/ 90 = 11/ 30
c.9/25
0.36 in the simplest form as fraction is 9/25.
Hope it helps!!!
The actual distance between Kalamazoo and Ann Arbor is miles.
Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).
Answer:
Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).
1 hr 36 min (98.3 mi)
Step-by-step explanation:
Victor bought a new soccer ball. The original price was $29.99, but the ball was on sale for 15%
off. What was the sale price?
Step-by-step explanation:
100-15=85%
85% × 29.99
=$25.49
Geometry The length of a rectangle is represented by 2x + 3, and its
width is represented by 3x + 7. The perimeter of the rectangle is 35 units.
Find the value of x
Answer:
x = 1.5
Step-by-step explanation:
The perimeter of a rectangle is calculated by adding widht and height and multiply it by 2
The lenght is 2x + 3 and the width is 3x + 7
(2x + 3 + 3x + 7) *2 = 10x + 20 this is the perimeter which is given as 35 units
10x + 20 = 35 subtract 20 from both sides
10x = 15 divide both sides by 10
x = 1.5
A rectangular yard has a length of 12 meters and a width of 4 meters. Find its area.
Answer:
48m^2
Step-by-step explanation:
A=LxW=12x4=48
List the first three wholenumbers greater than 50 that will have a remainder of 7 when you divide by 9/ ?
Answer:
52, 61 and 70
Step-by-step explanation:
Given
[tex]Divisor = 9[/tex]
[tex]Remainder = 7[/tex]
Required
Determine first 3 possible dividends
The relationship between the [tex]dividend,\ divisor,\ quotient\ and\ remainder[/tex] is:
[tex]Dividend = Divisor * Quotient + Remainder[/tex]
Substitute: [tex]Divisor = 9[/tex] and [tex]Remainder = 7[/tex]
[tex]Dividend = 9* Quotient + 7[/tex]
Since the Dividends must be greater than 50, then the values of the quotient will be 5, 6 and 7
So, we have:
[tex]Dividend = 9* 5 + 7 = 45 + 7 = 52[/tex]
[tex]Dividend = 9* 6 + 7 = 54 + 7 = 61[/tex]
[tex]Dividend = 9* 7 + 7 = 63 + 7 = 70[/tex]
Hence, the three numbers are: 52, 61 and 70
The length of a rectangle is 15cm more than its width and perimeter is 150cm. Find the length and width of the rectangle.
Pls help as I'm preparing for my exams
Answer:
Hope this helps you..
Brainliest plsssss
All the Best for your exams
Step-by-step explanation:
let the breadth=x
the length =x+15
given perimeter= 150
Perimeter of rectangle = 2x(l+b)
150 = 2( x+ x+15)
75 = 2x +15
60 = 2x
30=x
therefore breadth = 30 cm
length = 30 +15 = 45 cm
Verification:
150 = 2( 45+30)
150 = 2(75)
150 = 150
LHS=RHS
Hence, proved..
Answer:
Step-by-step explanation:
Let the breadth(b) be x . Then by the question
Length (L) = ( x + 15 )cm
Perimeter = 150 cm
or 2( L + b) = 150
2 ( x + 15 + x ) = 150
2x + 15 = 75
2x = 75 - 15
2x = 60
x = 30 cm
Therefore breadth or width is 30 cm
Similarly
Length = 30 + 15 = 45
hope it helps :)
Pamela is 9 years younger than Jiri. The sum of their ages is 67. What is Jiri's age?
Answer:
Jiri is 38 years old.
Step-by-step explanation:
First, 67 - 29 = 38 and 29 + 9 = 38.
Hope this helps!
A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game.
Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the
outcome.
•If the result is 3 heads, the player receives +4 points.
• If the result is 2 heads, the player receives +2 points.
• If the result is anything else, the player receives -1 point.
What is the expected value of the number of points a player will receive after a turn?
=======================================================
Explanation:
H = heads
T = tails
Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.
Those 8 outcomes are:
HHHHHTHTHHTTTHHTHTTTHTTTAgain the order matters.
------------
Now let's define the following events
A = event of getting three headsB = event of getting exactly two headsC = event of getting 1 head, or getting 0 headsThere's only one way to get three heads, and that's HHH. So P(A) = 1/8.
There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.
From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.
Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:
V(A) = 4V(B) = 2V(C) = -1From here, multiply the probability values with their corresponding net values
P(A)*V(A) = (1/8)*(4) = 0.5P(B)*V(B) = (3/8)*(2) = 0.75P(C)*V(C) = (1/2)*(-1) = -0.5Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75
Each time a turn happens, we expect on average to get 0.75 points
Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.
Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.
f(x) = x ^ 4 - 6x ^ 3 + 8x ^ 2 - 21 ^ 2 the possible rational zeros
Answer:
Step-by-step explanation:
[tex]f(x)=x^4-6x^3+8x^2-21^2\\it~ is~ of ~degree~4\\so~it~has~4 ~zeros.\\now ~we~talk~about~zeros.\\we ~check ~the ~change~of~signs.\\f(x)= + - + -\\it~has~3~changes ~of~signs\\it~ has~ 1 ~or~ 3~ real~ roots.\\f(-x)=x^4+6x^3+8x^2-21^2\\f(-x)=+ + + -\\it~has~one~change~of~sign.\\so ~it~has~one~negative~real~root.\\[/tex]
we conclude that it has two or four real roots.
Question (point
Find the volume of the pure below leave in terms of IT for answers that contain T Round your answer to the nearest hundredthir
necessary
811
101
214.21 10
186,67
115.78
Od
560
Question 61 point)
Answer:
186.67 ft³
Step-by-step explanation:
Volume of a pyramid
= [tex]\frac{1}{3} [/tex] × base area × height
The volume of the pyramid
[tex] = \frac{1}{3} \times (8 \times 10) \times 7[/tex]
[tex] = \frac{1}{3} \times 80 \times 7[/tex]
[tex] = 186.666...[/tex]
= 186.67 ft³ (rounded to the nearest hundredth)
hii please help asap ill give brainliest thanks
Answer:
Step-by-step explanation: its number 3
Which statement is true for the equation 4x - 4x - 5 = -5? (5 points)
1) It has no solution.
2) It has one solution.
3) It has two solutions.
4) It has infinitely many solutions.
Answer:
4)it has infinitely many solutions
Don’t have to show work
Answer:
I would say A cause I think that that is the closest answer
Step-by-step explanation:
I am so so so sorry if this is wrong I'm not that great at math myself.
what in the world does +1 represent??? thank you!
Answer:
the y intercept
so up 1 from (0,0)
Find the least common denominator (LCD) of
Answer:
12
Step-by-step explanation:
when donald trump got fired, was he dog water on fountain?
Answer:
he was complete dog water box like a fish o earnings
Step-by-step explanation:
What is the arc measure, in degrees, of ADC on circle P below?
70°
104°
Answer:
The answer is "[tex]\overarc{ADC} = m\angle CPD + m\angle DPA = 186[/tex]"
Step-by-step explanation:
Please find the image of the question:
In the circle p:
[tex]\to m\angle APB + m\angle BPC + m\angle CPD + m\angle DPA = 360^{\circ} \\\\\to 70 + 104 + m\angle CPD + m\angle DPA = 360\\\\\to m\angle CPD + m\angle DPA = 360 - 70 - 104 = 186[/tex]
Let P is in the center
[tex]\to[/tex] arc AD= [tex]m\angle APD[/tex]
[tex]\to[/tex] arc DC = [tex]m\angle CPD[/tex]
[tex]\to[/tex] arc BC = [tex]m\angle BPC[/tex]
arc AB =
When D is on arc AC:
[tex]\to[/tex]arc ADC = arc AD + arc DC
[tex]\to[/tex]arc ADC = [tex]m \angle CPD + m\angle DPA = 186[/tex]
6. Given one of the root of the quadratic equation x^2- 5kx + k = 0 is four times the
other root, find the value of k.
k = 1/4
Answer:
Step-by-step explanation:
hello :