The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25
What is a Circle?A circle is a closed 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 circumference 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.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the center of the circle be P ( -4 , 9 )
Let the diameter of the circle be d = 10 units
So , the radius of the circle r = d/2 = 5 units
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
So , the equation of circle is
( x + 4 )² + ( y - 9 )² = 25
Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25
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Acardboard popcom container is shaped like a cone that is 11 inches high and has a radius of 2.5 inches What is the volume of the container? Use 3 14 for pi Round your answer to the nearest hundredth
Answer:
71.99 in³
Step-by-step explanation:
The formula to apply is that of volume of a cone where;
V=π*r²*h/3 --------where V is the volume of the container, r is the radius of the container and h is the height of the container
Given that : π=3.14 , r is 2.5 inches , h= 11 inches then apply values to the container as;
V= 3.14 * 2.5²* 11/3
V= 3.14 * 6.25 * 3.67
V= 71.9948
V= 71.99 in³
Answer:
Volume of Cone= 71.9583
Step-by-step explanation:
Volume of Cone= (1/3)πr²h
Volume of Cone= (1/3)×3.14×(2.5)²×11
Volume of Cone= 71.9583
ABCDE is a regular pentagon. Find each lettered angle measure.
Answer:
x° = 36°, y° = 36°, z° = 72°
Step-by-step explanation:
Each interior angle of a regular polygon is given by the following formula;
Interior angle = (n - 2)×180°/n
Where;
n = The number of sides on the polygon
For the pentagon, we have;
n = 5, therefore;
Interior angle = (5 - 2)×180°/5 = 108°
ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;
∠ADC = ∠DAC = x°, and ∠ACD = 108°
Therefore
x° = (180° - 108°)/2 = 36°
x° = 36°
∠BAC = 2·x° + y° = 108°
∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°
y° = 36°
ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each
Therefore, in ΔADE, we have;
z° = (180° - 36°)/2 = 72°
z° = 72°
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Based on the advertised sales, at which store will Zachary get the lowest price on 4 tires?
Answer:
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Step-by-step explanation:
At store R, we get the fourth tire for free, if we buy three tires.
Each tire costs $150, so the cost of 3 tires is .
So at store R, we get 4 tires for $450.
At store S, if we buy 4 tires, we pay $70 off for each tire.
Each tire costs $200, so the cost of 4 tires is
If we get $70 off for each tire, we get for 4 tires.
So at store S, we get 4 tires for
So at store S, we get 4 tires for $520.
Step 2:
At store T, if we buy 4 tires, we pay $200 off the total price.
Each tire costs $175, so the cost of 4 tires is
If we get $200 off the total price, we get for 4 tires.
So at store T, we get 4 tires for $500.
At store V, if we buy 4 tires, we get 10% of the total price.
Each tire costs $130, so the cost of 4 tires is
If we get 10% off the total price, we get for 4 tires.
So at store V, we get 4 tires for $468.
Step 3:
So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.
So Isaiah will get the lowest price on 4 tires at store R.
At store R, we get the fourth tire for free, if we buy three tires.
Each tire costs $150, so the cost of 3 tires is .
So at store R, we get 4 tires for $450.
At store S, if we buy 4 tires, we pay $70 off for each tire.
Each tire costs $200, so the cost of 4 tires is
If we get $70 off for each tire, we get for 4 tires.
So at store S, we get 4 tires for
So at store S, we get 4 tires for $520.
Step 2:
At store T, if we buy 4 tires, we pay $200 off the total price.
Each tire costs $175, so the cost of 4 tires is
If we get $200 off the total price, we get for 4 tires.
So at store T, we get 4 tires for $500.
At store V, if we buy 4 tires, we get 10% of the total price.
Each tire costs $130, so the cost of 4 tires is
If we get 10% off the total price, we get for 4 tires.
So at store V, we get 4 tires for $468.
Step 3:
So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.
So Isaiah will get the lowest price on 4 tires at store R.
Solve the equation
1/2 k + 2 = 5 + 5/6 k
a. 2 1/4
b. -9
c. 9
d. -21
Please select the best answer from the choices provided
Answer:
1/2k+2=5+5/6k
-3 = 5/6k-1/2k
-3=2/6k
k= -9
Final Answer: [tex]k = -9[/tex]
Steps/Reasons/Explanation:
Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided.
[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]
[tex]b.[/tex] [tex]-9[/tex]
[tex]c.[/tex] [tex]9[/tex]
[tex]d.[/tex] [tex]-21[/tex]
Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].
[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]
Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].
[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]
Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).
[tex]3k + 12 = 30 + 5k[/tex]
Step 4: Subtract [tex]3k[/tex] from both sides.
[tex]12 = 30 + 5k - 3k[/tex]
Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].
[tex]12 = 30 + 2k[/tex]
Step 6: Subtract [tex]30[/tex] from both sides.
[tex]12 - 30 = 2k[/tex]
Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].
[tex]-18 = 2k[/tex]
Step 8: Divide both sides by [tex]2[/tex].
[tex]-\frac{18}{2} = k[/tex]
Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].
[tex]-9 = k[/tex]
Step 10: Switch sides.
[tex]k = -9[/tex]
~I hope I helped you :)~
find sq.root of 19.537 by division method?
Answer:
4.42 is the answer........
Step-by-step explanation:
Im not sure
find the angle measure of minor arc MP.
Step-by-step explanation:
Angle at center = 2 * Angle at circumference.
Angle MNP = 2 * Angle MQP = 30°.
Hence the angle measure of minor arc MP is 30°.
Answer:
30 degrees
Step-by-step explanation:
arc measure in degrees is twice the measure of the inscribed angle
someone help me out please
Answer:
The answer would be B :)
Step-by-step explanation:
Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....
Answer:
0/2 0/5 0/10
Step-by-step explanation:
Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.
34 divided by 523.6
Answer
Answer:
0.06493506493
Step-by-step explanation:
Answer:
0.064935065
Step-by-step explanation:
What is long division answer to 6 divided by 92
Macys is having a sale on all shoes, if I buy a pair of boots that are $125 but are now 30% off what is the sale price of the boots?
Please answer A and B!!!
Answer:
7 and 2
Step-by-step explanation:
i did this before i know
can u pls help me with this question
Find the value of x.
Group of answer choices
25
40
65
115
Answer:
40
Step-by-step explanation
x=40 because if you time these in like this:
3(40)-10= 110
40+15=55
If you user 65 it'll be wrong because:
3(65)-10=185
And the whole thing is only 180 :]
ejt-vokv-opj join to teach
Answer:
ive seen this before its not to teach what you think stay away from it
Answer:
i thought this was a different language
Step-by-step explanation:
smh
Please help don’t pass this question please help me out !
Answer: I think it is (D)
Step-by-step explanation: Its hard to explain but I hope this helps anyways!
Answer:
I think its D to so I would go with that
Help please.....its due today
An oxygen mask is placed on a patient. Oxygen is administered to the patient for 5 minutes. Then the oxygen
mask is removed and the amount of oxgyen in the body decreases exponentially. Which graph best describes the
amount of oxygen in the patient's bloodstream beginning with the moment when oxygen is first administered?
Randy saving for console cost $290 he got a $50 gift card from grandma $15 each week, how many weeks until he get money?
Answer:
it will take him 16 weeks
Step-by-step explanation:
290 subtract 50 equals 240
240 divided by 15 equals 16
There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices
Answer: There are 990 croissants
Step-by-step explanation:
If 45% of them are pretzels then 55% of the pastries hs to be croissants.
Multiply 55% by the total number of pastries to find the number of croissants.
55% * 1,800 = 990
100
3
80
6
60
9
40
20
0
100
web and Windows
BE
a
02 AM
NETT Dann
Answer:
Uhhhh what?
Step-by-step explanation:
I am confused...
cark earned grades of 62, 78, 59, and 89 on four tests.
what is the mean of his grades
Answer:
72
Step-by-step explanation:
mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.
i think the answer is 579
In a random sample of 300 people in a town, 193 were female. What is the sample portion of female
Answer: 0.643
Step-by-step explanation:
There are 300 people and 193 were female.
The sample portion that is female is therefore;
= 193/300
= 0.643
Help please stat! Brainlist!
Answer: 11.71 meters per second.
PLZ CORRECT ME IF I AM WRONG thxs and have a lovely day :)
Step-by-step explanation:
Plz Help!!!
Will Give Brainliest to the First Person that answers!!!
Answer:
20
Step-by-step explanation:
Jenny bought a pair of shoes for $49.76 with a 30% off coupon. How much will she pay in total after 7% sales tax?
Answer: the final price is $37.26
Step-by-step explanation:
Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:
A + A*(X%/100%)
And for a decrease, the equation is_
A - A*(X%/100%)
Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be
$49.75 - (30%/100%)*$49.75 = $34.83
Now we have an increase of the 7% because of the IVA, then the final price is:
$34.83 + (7%/100%)*$34.83 = $37.26
which expression represents"divide the sum of x and 2 by 4"?
Answer:
Step-by-step explanation:
pix
-5x + y = -6
7x + 2y = 39
Answer:
x=3, y=9
Step-by-step explanation:
Mulriplying the first equation by 2 yields -10x+2y=-12.
Subtracting the second equation from this gives -17x=-51, and thus x=3.
Substituting this back into the first equation gives -15+y=-6, and thus y=9.
WILL GIVE AS MUCH POINTS AS I CAN BC THIS IS A THROW AWAY ACCOUNT (Nvrm you guys just ganna cop the points and give me a swamp answer). WILL MARK BRAINLYEST.
1) write the equation
2) Generate at least two ordered pairs
1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.
2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription
Answer:
1 is 6x+4y=422
2 is (12,25)
i dont think 2 is right im really sorry about that- but im like kinda confident for one. i would also check with someone else tho
Answer:
3fftedvvvte4ffff
Step-by-step explanation:
ggvggrrrvvg
Which graph represents the function f(x)=2.4?
Answer:
show the graph then we can fingerite out
Step-by-step explanation:
we will have to see the graph then we can see what we are working with