Answer:
Solution given:
the equation of a circle is:
x²+y²-6x-2y+4=0
x²-2*x*3+3²+y²-2y+1²-1²+4=0
(x-3)²+(y-1)²=9+1-4
(x-3)²+(y-1)²=6
comparing above equation with
(a-h)²+(y-k)²=r²
we get
centre (h,k)=(3,1)
radius=√6
option first
(3,1), r = √6 is a required answer.
Answer:
(3,1), r = √6 is a required answer.
Step-by-step explanation:
volume of cylinder with a base radius of 5 and height of 3
Answer:
235.5.
Step-by-step explanation:
VOLUME: THE AMOUNT OF SPACE OCCUPIED BY A 3D OBJECT.
The formula for volume of a cylinder is:
[tex]pi*r^2*h (3.14 * radius *radius * height)[/tex]
The radius of this cylinder is 5 and the height is 3.
Now, we can plug the numbers in the formula.
SOLVE:
[tex]pi *5^2*3(3.14*5*5*3)=235.5.[/tex]
The product of the equation is 235.5.
I, therefore, believe the volume of this cylinder is 235.5.
Find the surface area of the triangular prism below. The bases each have an
area of 6 cm2 and a perimeter of 10 cm, and the altitude is 10 cm.
Answer:
112
Step-by-step explanation:
A pair of shoes that normally cost $24 is 25% off what is the selling price of the shoes?
Answer:
18 dollars
Step-by-step explanation:
I'm right just trust
Step-by-step explanation:
Hey there!
According to the question, the normal cost price of pair of shoes is $24 (i.e $24 is MP= marked price).
Also, there is 25% off. (i.e discount)
Now,
SP (selling price) = MP - discount% of MP
or, SP = 24 - 25% of 24
[tex]sp = 24 - \frac{25}{1 00} \times 24[/tex]
or, SP= 24 - 6
Therefore, the SP of the shoes is $18.
Hope it helps!
The school events committee is planning to buy a banner and some helium balloons for graduation night. A store charges them $35 for the banner and $3 for each helium balloon. If the committee has at most $125 to spend, how many helium balloons can they buy
Answer:
30 baloons
Step-by-step explanation:
1. Remove the price of the banner from the total amount you can spend. You should then end up with $90
2. Divide 90 by 3, because each balloon costs $3. You should end up with 30.
Answer:
30 balloons
Step-by-step explanation:
Cost of banner = $ 35
Remaining amount after paying for banner = 125 - 35 = $90
Number of balloons = Remaining amount ÷ cost of one balloon
= 90 ÷ 3
= 30
CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU
Answer:
63 were sold
Step-by-step explanation:
Multiply the total number of new houses by the fraction that were sold
81 * 7/9
Rewriting
81 /9 * 7
9 * 7
63
Answer:
63 new house have been sold this year.
Step-by-step explanation:
New houses have been sold this year is given by
= Total no. of new houses × fraction that were sold.➛ 81 × 7/9
➛ 9 × 7 .. ( 81 / 9 = 9 )
➛ 63
Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
The attendances y for two movies can be modeled by the following equations, where x is the number of days since the movies opened.
y=-x^2+35x+100 Movie A
y=-5x+275 Movie B
When is the attendance for each movie the same?
After ___ days and after ___ days.
Answer:
After
days and after
days.
By solving a quadratic equation, we will see that the attendance will be the same after 5 days and after 35 days.
When is the attendance for each movie the same?
This will happen for the values of x such that:
y = -x^2 +35x + 100 = y = -5x+275
There says that the attendance for movie A is the same as the one for movie B. So we just need to solve that.
We can write the equation as:
-x^2 +35x + 100 = -5x+275
If we simplify this, we get:
-x^2 + 35x + 100 + 5x - 275 = 0
-x^2 + 40x - 175 = 0
This is a quadratic equation, the two solutions are given by Bhaskara's formula, we will get:
[tex]x = \frac{-40 \pm \sqrt{(40ft)^2 - 4*(-1)*-175)} }{2*-1} \\\\x = \frac{-40 \pm 30}{-2}[/tex]
So the two solutions are:
x = (-40 + 30)/-2 = 5
x = (-40 - 30)/-2 = 35
So, the attendance will be the same after 5 days and after 35 days.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
What is the complete factorization of x^4-17x^2+16?
Answer:
(x +1) (x-1) (x +4) (x-4)
Step-by-step explanation:
The factorization of x^4-17x^2+16 is
(x+1) (x-1) (x+4) (x-4)
Answer:
(x+4)(x-4)(x+1)(x-1)
Step-by-step explanation:
Which one is greater 5.3 or 5 1/3
Answer:
5 1/3 > 5.3
Step-by-step explanation:
1/3 = 0.333... so 5 1/3 > 5.3 as 5 1/3 = 5.333...
The fraction 5 1/3 is greater than 5.3.
What is a fraction?A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. A fraction represented with its quotient and remainder is a mixed fraction.
For the given situation,
The decimal number is 5.3.
The mixed fraction is 5 1/3.
First, convert this fraction to a decimal number to check which is greater.
[tex]5\frac{1}{3}=\frac{16}{3}[/tex]
⇒ [tex]5.33[/tex]
On comparing these two decimals 5.33 and 5.3, we can conclude that 5 1/3 is greater than 5.3.
Learn more about the fractions here
https://brainly.com/question/1301963
#SPJ2
Dan had a large piece of wood that was 10 feet
long. He cut the wood into smaller pieces, each
measuring 1/4 foot. How many pieces of wood
dd Dan cut?
Answer:
40 pieces of wood
Step-by-step explanation:
Find how many pieces he cut by dividing 10 by 1/4
10 / (1/4)
= 40
So, Dan cut 40 pieces of wood
Example 1. An iPod costs $176. It is on sale for 20% off and will be taxed at a rate of 7% on the sale price. What will be the total cost of the iPod?
please help!! I'm really confused
Answer: im on this one too
Step-by-step explanation:
If you want to include closing costs of 5% with your down payment, how much additional money must you save per month?
Answer:
125.00
Step-by-step explanation:
What is the solution to –2(8x – 4) < 2x + 5? x > x is greater than StartFraction 1 Over 6 EndFraction. x < x is less than StartFraction 1 Over 6 EndFraction. x > 6 x < 6
Answer:
x > 1/6.
Step-by-step explanation:
–2(8x – 4) < 2x + 5
-16x + 8 < 2x + 5
-18x < -3
x > 1/6.
The solution to the inequality expression is x > 1/6
Given the inequality expression
–2(8x – 4) < 2x + 5
Expand the parenthesis
-16x + 8 < 2x + 5
Subtract 5 from both sides
-16x + 8 - 5 < 2x + 5 - 5
-16x + 3 < 2x
-16x - 2x < -3
-18x < -3
Divide both sides by -18
-18x/-18 > -3/-18
x > 1/6
Hence the solution to the inequality expression is x > 1/6
Learn more on inequality here: https://brainly.com/question/24372553
A premature infant is gaining 2.5 ounces a day. At that rate, how many days will it take for him to gain 8 ounces
Answer:
3.2 days
Step-by-step explanation:
All you have to do is divide 8 by 2.5
8 ÷ 2.5 = 3.2
f(x) = x2. What is g(x)?
Step-by-step explanation:
it A Just took the test
dhjensjznf ren
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
Solve for 44.
61°
44 = [?]
O
44/42
58°
Answer:
answer below
Step-by-step explanation:
angles of a Tringle Addup to 180
let <2=x
61+58+x=180
x=180-61-58
x= 61°
now we know that the triangle was an isocelies triangle
<2=61°
But <2 and <4are on a straight line
therefore the sum of the angles are 180
<2+<4=180°
61°+<4=180°
<4=180°-61°
<4=119°
help me please [brainliest to best answer with explanation]
which type of data is best displayed in a histogram?
-----------------
AnswerC) The daily number of movie tickets sold in January.
-----------------------hope it helps..have a great day!!12 is what percent of 14?
Answer:
12 is 85.714285714286% of 14.
Suppose that an individual has a body fat percentage of 12.1% and weighs 133 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answer:
1099.2 pounds
Step-by-step explanation:
Given data
Weight= 133 pounds
Percentage of far= 12.1%
Let the total fat be x
So
12.1/100*x= 133
0.121*x=133
x= 133/0.121
x= 1099.1735 pounds
x= 1099.2 pounds
Mr. Peterson graded 117 tests in 3 hours. How many tests can he grade in 5 hours?
Answer:
195
Step-by-step explanation:
create a proportion: # tests/time = # tests/time
let 't' = # tests graded
117/3 = t/5
cross-multiply to get:
3t = 585
t = 585/3 which equals 195
Square roots need answer asap. NO LINKS
Answer:
3) 6.16
4) -11
5)1.73
6) -3.16
I hope I'm right and if not then I'm sorry :/
Answer:
3,6.16441400297
4,10.9544512
5,1.73205080757
6,3.16227766
What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2
a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}
Answer:
4 is the range of the function
Can someone help me find the slope of line RK
Answer:
The slope is equal to (4-(-5))/(-4-(-6)) which is equal to 4.5
Answer:
the slope for line RK is
m = 2/9
Step-by-step explanation:
what two integers are closest to sqaure root of 193
Answer:
13 and 14
Step-by-step explanation:
Method I - use calculator to find the square root
√193 = 13.892443989449805
Two closest integers
13 and 14
Method II - figure the squares closest to 193
13² = 169
14² = 196
please show your work
Answer:
8
Step-by-step explanation:
This can be solved using Pythagoras theorem, which is a² + b² = c², in which c is the hypotenuse (the longest side) and a and b are the two other sides. This only works for right-angled triangles, which we can see it will work for this question as there is a right angle marked by a square.
To find x, we must substitute the values in so 6² + x² = 10², which simplifies to the following:
36+x²=100.
Then we must take away 36 from both sides, leaving x²=64. To find x, find the square root of both sides, leaving x=8
I hope this helps! ;)
M is the midpoint od AN, A has coordinates (-4,-4), and M has coordinates (-7,1). Find the coordinates of N
Answer:
Solution given:
A(x1,y1)=(-4,-4)
M(x,y)=(-7,1)
N(x2,y2(x,y) let
we have
midpoint(x,y)={(x1+x2)/2,(y1+y2)/2}
(-7,1)={(-4+x)/2,(-4+y)/2} comparing corresponding value
-7=(-4+x)/2
-14=-4+x
x=-14+4
x=-10
and
1=(-4+y)/2
2=-4+y
y=4+2
y=6
coordinates of N is (-10,6)
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Step-by-step explanation:
Write what you knkw
all triangles' angles add to 180
180 =x + (106 + 48) solve for x
Two pound bags of candy are being used to fill containers that hold 1 1/2 pounds each. How many containers can be filled by each two pound bag of candy?
Answer:
4 Containers Can Be Filled By Each Two Pound Bag Of Candy .
Step-by-step explanation:
GIven Two Pound Bag Of Candy Used To Fill Container That hold [tex]1\frac{1}{2}[/tex] Pound Each .
Now There are 4 Container of Capacity [tex]1\frac{1}{2}[/tex] Pound Needed To fill Exactly 3 two Pound Bags .
Thus 4 container have Total capacity Of 6 Pound . Which Is Easily Filled By The 3 two Pound Bags . ( Without Any Loss )