Answer:
The equation of the circle is
Formula :
(x- h ) ² + (y-k )² = r²
or, x²-20x +100 + y² -8y + 16 = 16
or, x² + y² -20x -8y + 100 = 0 is the required equation
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
401.24m
Step-by-step explanation:
the length is,
97x2 + 66x3.14
I need help with this
7/10= 28/40
5/8=25/40
0.8=4/5=32/40
32>28>25
So 0.8>7/10>5/8
I don't get how to do this.
Answer:
426 chickens
Step-by-step explanation:
let the pigs = x
the ducks = 2×x = 2x
the chickens = 3×(2x) = 6x
x +2x +6x = 639
9x=639
x = 639/9 = 71
the chickens = 6x = 6×71 = 426
Answer:
[tex]426\:\mathrm{chickens}[/tex]
Step-by-step explanation:
Since a duck has two legs, a pig has four legs, and a chicken has two legs, we can write the following system of equations:
[tex]\begin{cases}d+p+c=639,\\d=2p,\\c=3d\end{cases}[/tex], where [tex]d[/tex] is the number of ducks on the farm, [tex]c[/tex] is the number of chickens, and [tex]p[/tex] is the number of pigs.
Substituting, we get:
[tex]d+\frac{1}{2}d+3d=639,\\4.5d=639,\\d=\boxed{142}[/tex]
Now substitute [tex]d=142[/tex] into [tex]c=3d[/tex] to get the number of chickens:
[tex]c=3(142)=\boxed{426\:\mathrm{chickens}}[/tex]
Peggy had four times as many quarters as nickles. She had $2.10 in all. How many nickles and how many quarters did she have?
Which of the following equations could be used to solve the problem?
n+4n=2.10
n+4n=210
5n+100n=2.10
5n+100n=210
Answer:
the answer is the third option
Step-by-step explanation:
Convert r=5/3sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.
Answer:
y = 1/3 x + 5/3
Step-by-step explanation:
For rectangular to polar
x = rcosθ ... 1
y = rsinθ ... 2
Given the expression
r=5/3sinθ−cosθ
Cross multiply
r(3sinθ−cosθ) = 5
Expand
3rsinθ−rcosθ = 5 ..3
Substitute 1 and 2 into 3
3y - x = 5
Write in slope intercept form
3y = x + 5
Divide through by 3;
3y/3 = x/3 + 5/3
y = x/3 + 5/3
y = 1/3 x + 5/3
Hence the expression in slope-intercept form is y = 1/3 x + 5/3
Graph the picture nes whose equation is 2y=-3x-2
Answer:
Picture Below
Step-by-step explanation:
You can simplify it by dividing it into
y = -1.5x-1
A man borrows Rs. 50000 at 12% p.A., compounded half-yearly. He pays back Rs. 18000 at the end of every six months. Calculate the third payment, he has to make to clear the entire loan
Answer:
Rs. 20246
Step-by-step explanation:
According To the Question,
Given, A man borrows Rs. 50000 at 12% per Annum(compounded half-yearly). Thus the Rate of Interest for 6 months would be 6%. Now, He pays back Rs. 18000 at the end of every six months.Thus, the third payment, he has to make to clear the entire loan.
First-Payment = ( 50000 x 1.06 ) - 18000 ⇔ 35000 Rs.
Second-Payment = (35000 x 1.06) - 18000 ⇔ 19100 Rs.
Third-Payment = (19100 x 1.06 ) ⇔ 20246 Rs. the third payment, he has to make to clear the entire loan.
what is f(0) for the function f(x) =2x+3
Answer:
3
Step-by-step explanation:
f(x) =2x+3
Let x=0
f(0) =2*0+3
Multiply
f(0) =0+3
Add
f(0) =3
Answer:
3
step-by-step explanation
f ( x ) = 2 x + 3
f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )
multiply
f ( 0 ) = 0 + 3
Add the numbers
f ( 0 ) = 3
Which expression is equivalent to f+f+8ff+f+8f?
Answer:
8f² + 11f
Step-by-step explanation:
there are no expressions listed
This is the expression simplified
8f² + 11f
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction
The number b varies directly with the number a. For example b= 2 when a = -2
-2. Which equation represents this
direct variation between a and b?
Obra
O b = a
Ob-a= 0
Ob(-a) = 0
Answer:
b = -a
Step-by-step explanation:
We know that:
On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).
And we know that, for example, when:
b = 2, a = -2
Remember that the distance between two values is given by:
|n - m|
Then the distance between 0 and b is:
|0 - b|
and the distance between 0 and a is:
|0 - a|
we have:
|-b| = |-a|
|b| = |a|
But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:
b = -a
or
-b = a
(these are equivalent)
Then the correct option is the first option:
b = -a
A ride-share company has a fee that includes a fixed cost and a cost that depends on both the time spent travelling, in minutes, and the distance travelled, in kilometres. The fixed cost of a ride is $2.55 Judy's ride costs $16.75 and took eight minutes. The distance travelled was 10 km. Pat's ride cost $30.35 and took 20 minutes. The distance travelled was 18 km. Roy's ride took 10 minutes. The distance travelled was 15 km. Find the cost of Roy's ride.
Answer:
the cost of Roy's ride is $23.05
Step-by-step explanation:
According to the Question,
Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .
Given, A ride-share company has a fee of the fixed cost of a ride is $2.55 .And, The Total cost of the Ride depends on both the time spent on travelling(in minutes), and the distance travelled(in kilometres) .⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1
⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2
Now, on Solving Equation 1 & 2, We get
x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)
Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5
Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05
add the following decimals
Answer:
148.91
Step-by-step explanation:
hope it helps<333
how to prove sinA+sin2A/1+cosA+cos2A=tanA
Answer:
my answer is in this picture. sorry about my handwriting.
Help ASAP please!!!!!!!!!
Answer:
1/4
Step-by-step explanation:
pitches >3
pitches=4,5
P=(15+10)/(15+20+40+15+10)=1/4
MATH HELP PLEASE DUE SOON
Answer:
a. Alternate exterior angles.
b. <A and <B are congruent. This diagram involves a line intersecting two parallel lines, forming the congruent angles <A and <B on opposite sides of the transversal.
c. They are alternate exterior angles like <A and <B, but because it is not guaranteed that the transversal is intersecting parallel lines in this case, we cannot prove that <C and <D are congruent alternate exterior angles.
The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited
Answer:
$600.00
Step-by-step explanation:
The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited
We solve using Compound Interest formula which is given as:
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 per year,
Then, solve the equation for P
P = I / ((1 + r/n)^nt - 1)
P = 30 / ((1 + 0.05/1)^(1×1) - 1)
P = 30 / ((1 + 0.05)^(1) - 1)
P = $600.00
there are 3 method to show that 40 is the sum of two prime. among all the prime , find the difference between the two largest prime
Answer:
the difference is 39? for the answer
Step-by-step explanation:
The question is not exactly worded in such a way that one can tell how it should be answered.
If it means that 40 is the suim of 2 primes done 3 ways then the 3 answers are
17 + 23
37 + 3
11+ 29
So the difference between 37 and 29 = 8
There are no guarantees about this answer. I'm just doing it the way the question reads.
Using the graph, determine the coordinates of the vertex of the parabola.
Answer:
The coordinates of the vertex is (6,4).
Step-by-step explanation:
The vertex is the highest or lowest point on the parabola (curved line).
I kinda need help
What is the fraction 1/4 in decimal form?
I need help with this one to
Solve 3^3
Answer: easy
Step-by-step explanation: 0.25 there
I have five numbers, the mean is 6, and the mode is 7 what could these numbers be?
Answer:
3, 5, 7, 7, 8
Step-by-step explanation:
3, 5, 7, 7, 8
the mean = (3+5+7+7+8)/5 = 30/5= 6
the mode = 7
(a) A Ship sails due north from point P to a point 0.4 km away. It then sails on a bearing
of 090° to a point R, 3 km from Q.
(1) Illustrate the information in a diagram.
Find the length PR
Answer:
write these time in words 3:45
The equation y = –2x determines a linear function. Which table lists the coordinates of three ordered pairs that lie on the graph of this function?
Answer:
It b
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
I did the test
ASAP!!!!!! Factor the trinomial x^2 + 7x + 12
0.16 which number is in the hundreds place
Answer:
A decimal is always placed in this order :
thousands, hundreds, tens, separator, tenths, hundredths, thousandths.
In this case, the number 6 is in the hundredths place, and there is no HUNDREDS place.
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27
What is a name for the marked angle?
Picture given
Answer:
L DAC
Step-by-step explanation:
__________________
Edmund and Lucy go to a toy shop. Edmund does not have enough money to buy the toy he wants. He says to Lucy, 'If you give me ₹ 40, I can buy my toy. But you will have ₹ 10 less to buy your toy." How much money does Lucy have?
Answer and explanation:
Assuming Edmund has $0
From Edmund, we know the toy costs $40(assuming it's in dollars)
Lucy gives him $40 and has $10 less($40-$10) to buy her own toy
Therefore Lucy had $40+$30= $70 before giving Edmund $40 for his toy.
Lucy currently has $70-$40 =$30, therefore needs $10 more to buy her own toy
Use completing the square to solve this quadratic equation. Check all that apply.
x + 10x + 25 = 2 D
A. x = 5+ m2
B. x = 5 - 12
C. x= -5 +_2
D. x= -5-2
Answer: x= -5+ 2 squared.
Step-by-step explanation:
Natalie and Warren started swimming laps in the pool at 5:47. Natalie finished swimming her laps 27 minutes later. Warren finished swimming his laps 8 minutes after Natalie. What time did Warren finish his laps?
Answer:
6:22
Step-by-step explanation:
original time minutes when they both started - 47
47+ natalie's time
47+27 =74
minus 60 minutes to account for the hour (6 o'clock)
74-60=14
natalie finished at 6:14
warren finished 8 minutes after natalie's time
14+8=22
the hour did not finish so it will remain at 6
which leaves your final answer for the time that warren finished as 6:22
What is the value of y ?
Answer:
67
Step-by-step explanation:
Answer.
67°
Step-by-step explanation:
the two lines are parallel so,
angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.
therefore, angle y= 67°
i got help from an awesome app called Gauthmath you can check it out on play store and app store. in my opinion avery good app with tutors and concept videos.