Answer:
(x-5)^2 + (y-6)^2 = 9
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where ( h,k) is the center and r is the radius
(x-5)^2 + (y-6)^2 = 3^2
(x-5)^2 + (y-6)^2 = 9
answer to the question
Answer:
$2916.00
Step-by-step explanation:
Stanley has drawn a right angle triangle. One side is 14cm and another is 18cm. There are two possible lengths for the third side. What are they?
Answer:
2V130 , 8V2
Step-by-step explanation:
If these are cahetus
x^2=14^2+18^2=196+324=520
x=V520=2V130
if 18 is not a cathetus then
18^2=x^2+14^2
x^2=18^2-14^2
x^2=324-196=128
x=V128
x=8V2
Jenny sells 49.5 ounces of lemonade for a total of $39.60.
Find the unit price in dollars per ounce.
If necessary, round your answer to the nearest cent.
Answer:
0.8
Step-by-step explanation:
Divide the total price by how many ounces of lemonade to find the unit price.
The unit price in dollars per ounce will be;
⇒ 0.8 dollar per ounce.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Jenny sells 49.5 ounces of lemonade for a total of $39.60.
Now,
Since, Jenny sells 49.5 ounces of lemonade for a total of $39.60.
Hence, The unit price = 39.60 / 49.5 dollars per ounce.
= 0.8 dollar per ounce.
Thus, The unit price in dollars per ounce will be;
⇒ 0.8 dollar per ounce.
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A card is drawn from a well shuffled pack of 52 cards. Find and match the probability of:
A 2 of Spades 1/13
A Jack 1/26
A red King 1/4
A Diamond suit 1/52
2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.
A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.
A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.
A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.
What is the perimeter of the triangle?
Answer:
To find the perimeter of the triangle, you need to add up the three sides of the triangle
/\
1 /__\ 5
9
1+5+9
_________________________________
Hey!!
The formula to find perimeter of triangle is a+b+c
For example:
If a triangle has the sides of 5,4 and 3 respectively,then to find the perimeter of triangle,we have to use the formula a+b+c which equals to 12.
Hope it helps
Good luck on your assignment
___________________________________
Combine the like terms to create am equivalent expression y-(-3y)
Answer:
[tex]=4y[/tex]
Step-by-step explanation:
[tex]y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y[/tex]
Answer:
[tex] = 4y[/tex]
Step-by-step explanation:
[tex]y - ( - 3y)[/tex]
we know that,
[tex]( - ) \times ( - ) = ( + )[/tex]
so,
[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
I don’t understand how to find the median of the triangle.
Answer:
9
Step-by-step explanation:
You can assume the two triangles have the same side ratio since their angles are equal. So 16/18 = y-1/y
Simplify to get...
16y = 18(y-1)
16y = 18y - 18
-2y = 18
y = 9
2⁄6 + 4⁄8 + 3⁄4 = is what?
Answer:
2/6+4/8+3/4=19/12
(Decimal: 1.583333)
hope i helped
-lvr
Answer:
1 7/12
Step-by-step explanation:
2/6 + 4/8+3/4
Simplify the fractions
1/3 + 1/2 +3/4
The common denominator is 12
1/3*4/4 + 1/2 *6/6+ 3/4*3/3
4/12 + 6/12 +9/12
19/12
12/12 + 7/12
1 7/12
Karla empleo 6kg de manzanas para elaborar 90 bocadillos mas ¿Cuantos Kilogramos de manzanas necesitara? ¿ cuantos bocadillos podria hacer con 12kg de manzanas?
Answer:
12kg apple will make 189 more sandwiches
Step-by-step explanation:
Here, we are told that 6kg of apple was used to make 90 more sandwiches and we need to know the number of sandwiches that can be made from 12kg of apples.
Now;
6kg made 90 sandwiches
12kg will make x sandwiches
To get x, we simply cross multiply
6 * x = 12 * 90
x = (12 * 90)/6
x = 2 * 90
x = 180 sandwiches
How do you make x the subject for (A) please?
Answer:
x = y / (4x+11)
Step-by-step explanation:
y = 4x^2 + 11x
4x^2 + 11x - y = 0
4x^2 + 11x = y
x(4x + 11) = y
x = y / (4x+11)
What is the value of 3-(-2)
Answer:
5
Step-by-step explanation:
3-(-2)=5
Answer:
5
Step-by-step explanation:
It becomes 3+2 because the negatives cancel out.
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
Factor 9x6 – 16 y completely.
First factor each term.
9x6 = (__)?
16y6 = ()2
Then use a? - b2 = (a - b)(a + b). Show your work.
9x6 – 16y6 =
Answer:
(3x^3 - 4y^3) ( 3x^3 + 4y^3)
Step-by-step explanation:
9x^6 – 16 y^6
Rewriting as
(3x^3) ^2 - ( 4y^3) ^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(3x^3 - 4y^3) ( 3x^3 + 4y^3)
Answer:
(3x^3 - 4y^3) ( 3x^3 + 4y^3)
Draw the line with equation x+y=2
Answer:
Arrange the variables to y intercept form: y=-x+2. We have the slope is -1, and the y intercept is 2. You should be able to draw a line from here.
Step-by-step explanation:
21 ≤ 3 + 9x please help me solve the inequality
Answer:
x ≥ 2
Step-by-step explanation:
21 ≤ 3 + 9x
21 - 3 ≤ 9x
18 ≤ 9x
18 ÷ 9 ≤ x
2 ≤ x
x ≥ 2
The solution to the inequality 21 ≤ 3 + 9x by combining like terms and solving for x is, x ≥ 2.
Used the concept of inequality which states that,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
The inequality is,
21 ≤ 3 + 9x
Now, simplify the inequality by combining like terms and solving for x,
21 ≤ 3 + 9x
Subtract 3 on both sides,
21 - 3 ≤ 9x
18 ≤ 9x
It can be written as,
9x ≥ 18
9x - 18 ≥ 0
Take 9 as common,
9 (x - 2) ≥ 0
x - 2 ≥ 0
Therefore, the solution of expression is,
x ≥ 0
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Graph the inequality
-9 < y + 5x < 14
Answer:
Step-by-step explanation:
. It takes Serina 15 seconds to drive to school. Her route is 16,000 meters long. What is Serina’s average speed on her route?
[tex]answer \\ = 1066.67m / s \\ solution \\ distance \: travelled = 16000 \: m \\ time \: taken = 15 \: seconds \\ speed = \frac{distance}{time} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{16000}{15} \\ \: \: \: \: \: \: \: \: \: \: \: = 1066.67 \: m/s \\ hope \: it \: helps[/tex]
Answer:
[tex] = 1,066.67m {s}^{ - 1} \\ [/tex]
Step-by-step explanation:
[tex]speed = \frac{distantce}{time} \\ = \frac{16000}{15} \\ = 1,066.67m {s}^{ - 1} [/tex]
hope this helps you
brainliest appreciated
good luck! have a nice day!
How do you solve the inequality 2x-3<-52x−3<−5
Answer:
Idk it really hard to do
Find the area of the shape shown below.
24
25
8
units?
HELP
Answer:
hope this is correct
Answer:
108
Step-by-step explanation:
(1). An Aeroplane leaves an airport, flies due North for 2 hrs at 500km/h. It then flies on a bearing of 053 degree at 300km/h for 90 mins. How far is the plane from the airport correct to 1 dp *(2). Find the bearing of the plane from the Airport correct to 1 dp. *(3). If it takes the Aeroplane 150 mins to fly back to the airport. Find the average speed of the aeroplane for the whole flight correct to 1dp. *
Answer:
1. 1320.7 km
2. 015.8 degrees.
3. 461.8 km/h.
Step-by-step explanation:
(1) the distance from the airport is approximately 1096.5 km.
(2) the bearing of the plane from the airport is approximately 24.4 degrees.
(3) the average speed of the airplane for the whole flight is approximately 580 km/h.
(1) To find the distance the plane is from the airport, we can break down the two legs of the journey into their respective distances and use the Pythagorean theorem.
For the first leg of the journey, the plane flies due North for 2 hours at a speed of 500 km/h. Therefore, the distance covered is:
Distance = Speed * Time = 500 km/h * 2 h = 1000 km
For the second leg of the journey, the plane flies at a bearing of 053 degrees at a speed of 300 km/h for 90 minutes (1.5 hours). We can calculate the distance covered using the formula:
Distance = Speed * Time = 300 km/h * 1.5 h = 450 km
Using the Pythagorean theorem, the distance from the airport is the hypotenuse of a right triangle with sides of 1000 km and 450 km:
Distance from the airport = √(1000² + 450²) ≈ 1096.5 km (rounded to 1 decimal place)
Therefore, the distance from the airport is approximately 1096.5 km.
(2) To find the bearing of the plane from the airport, we need to determine the angle between the plane's position and the north direction. We can use the inverse tangent function (arctan) to find this angle.
The angle can be calculated as:
Angle = arctan(opposite/adjacent) = arctan(450/1000) ≈ 24.4 degrees (rounded to 1 decimal place)
Therefore, the bearing of the plane from the airport is approximately 24.4 degrees.
(3) To find the average speed of the airplane for the whole flight, we can calculate the total distance traveled divided by the total time taken.
The total distance traveled is the sum of the distances from the first and second legs of the journey:
Total Distance = 1000 km + 450 km = 1450 km
The total time taken is the sum of the time taken for each leg:
Total Time = 2 hours + 1.5 hours + 2.5 hours (150 minutes is equal to 2.5 hours)
Average Speed = Total Distance / Total Time = 1450 km / 2.5 h ≈ 580 km/h (rounded to 1 decimal place)
Therefore, the average speed of the airplane for the whole flight is approximately 580 km/h.
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I need help please people help me
Answer:
nooooooooooooo
nooooooooooooo
For every 4 girls in mr hegarty class there are 5 boys. what is the ratio of boys to girls in the class? Give answer in simplest form.
Answer: 4:5
Step-by-step explanation:
The sum of interior angles of a triangle are: 78°,39° and a°. Find the value of a° a. 117° b. 102° c. 93° d. 63° e. Other:
Answer:
d. 63
Step-by-step explanation:
sum of 3 interior angles= 180°
78°+39°+a=180°
a= 180°- 117°
a= 63°
Answer:
D. 63°
Step-by-step explanation:
The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.
78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)
Solve for x.
8x - 4 = 2x - 3
8x-4=2x-3
One solution was found :
x = 1/6 = 0.167
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*x-4-(2*x-3)=0
Step by step solution :
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : 6x-1 = 0
Add 1 to both sides of the equation :
6x = 1
Divide both sides of the equation by 6:
x = 1/6 = 0.167
One solution was found :
x = 1/6 = 0.167
i am not solving for x i am solving for you lol!!!
sin(x+16degrees) = cos(2x+14 degrees) what is x
Answer:
X=20°
Step-by-step explanation:
SinX+16°+Cos2X+14°=90
3x+30=90
3x=60
x=20°
Solve each equation for x 3х- 12у= 27
+18 pts
An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.
Help please !
Find attached to this answer, the appropriate diagram that would help us better understand the question
Answer:
10779 feet
Step-by-step explanation:
We would be using the Trigonometric function called Tangent to solve this question.
tan θ = Opposite side / Adjacent side
From the attached diagram,
θ = 33°
Opposite side = 7000 feet
Adjacent side = the distance of bird (B) from the plane (P) = unknown
tan 33° = 7000 feet / Adjacent side
Cross multiply
tan 33° × Adjacent side = 7000 feet
divide both sides by tan 33°
Adjacent side = 7000 feet / tan 33°
Adjacent side = 10779.054747 feet.
Approximately = 10779 feet.
Therefore, the distance of bird (B) from the plane (P) to the nearest whole number is 10779 feet.
Write a sequence with at least 5 terms that forms a pattern. Identify the rule.
please its due in an hour!!!!!!!!!!!!!
The pattern is attached in the image provided with the work.
I have started off listing 4 terms and then 3 blanks
so we can study the pattern and find the next few terms.
Here, notice that the difference between -5 and 1/2 and -5 is +1/2.
The difference between -5 and -4 and 1/2 is +1/2
and the difference between -4 and 1/2 and -4 is +1/2.
Continuing the same pattern, -4 + 1/2 will be equal to -3 and 1/2.
-3 and 1/2 + 1/2 will be equal -3
and -3 + 1/2 will be equal to -2 and 1/5.
Fully Factorise 5k^2+7k
Answer:
k(5k +7)
Step-by-step explanation:
The only factor which is available in both 5k^2 and 7k is k, so you take k outside the bracket and then put the remaining in the brackets
Answer:
5k^2+7k = k(5k+7)
Step-by-step explanation:
5k^2/k = 5k
7k/k = 7
When you use the distance formula you are calculating the length of the _____ of a right triangle
Answer:
hypotenuse
Step-by-step explanation:
When you use the distance formula you are calculating the length of the hypotenuse of a right triangle.
When using the distance formula, you are making a right triangle whose hypotenuse connects two given points.
Answer: The blank would be hypotenuse if I’m not mistaken!
