three friends Luke nick and serena are kicking a soccer ball to each other on the beach Luke kicks the ball to Serena who kicks the ball to nick, who kicks the ball back to Luke. the friends location on the beach are drawn on a coordinate plane as shown where the x values and y represent distance in feet.
WHAT IS THE APPROXIMATE DISTANCE THE BALL TRAVELS AFTER MAKING A FULL ROTATION AROUND THE TRIANGLE OF FRIENDS?
A. 288 feet
B.57.94 feet
C. 144 feet
D. 67.91 feet
Answers
The approximate distance the ball travels after making a full rotation around the triangle of friends is: B. 57. 94 feet.
Total distanceLuke ( 4,10)
Nick (-8, -2)
Serena (4, -14)
Hence:
Distance between two points=√(x2-x1)²+ (y2-y1)²
Distance between Luke and Nick=√ (-8, -4)²+ ( -2-10)²
Distance between Luke and Nick=√288
Distance between Luke and Nick=16.97 feet
Distance between Luke and Serena=10-(-14)
Distance between Luke and Serena=24
Distance between Nick and Serena=√ (-8, -4)²+ ( -2+14)²
Distance between Nick and Serena=√ 288
Distance between Nick and Serena=√16.97 feet
Total distance=16.97 feet+16.97 feet+ 24
Total distance=57.94 feet
Therefore the correct option is B.
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Answer:
57.94 feet
Step-by-step explanation:
I got it correct
Related Questions
What is the area of the composite figure? 262 cm2 264 cm2 266 cm2 268 cm2
Answers
The Area is a two-dimensional scalar quantity. The area of the composite figure is 264 cm².
What is the area?The area of a two-dimensional region, form, or planar lamina in the plane is the quantity that represents its extent. On the two-dimensional surface of a three-dimensional object, the surface area is its counterpart.
The composite figure can be broken down into four parts a square(A), a triangle(B) and two rectangles(C and D).
Now, if the area of the composite figure is taken out it will be,
[tex]\text{Area of composite}=\text{Area of Square A} + \text{Area of triangle B} + \text{Area of Rectangle C} + \text{Area of Rectangle D}\\[/tex]
[tex]\text{Area of Composte}=(10^2)+(\dfrac12 \times 6 \times 4)+(8 \times 4)+(20 \times 6)\\\\\text{Area of Composte}= 100+ 12 + 32 + 120 =264\rm\ cm^2[/tex]
Thus, the area of the composite figure is 264 cm².
Learn more about the Area:
https://brainly.in/question/14759304
4. Find the equation of the line that goes through the point (1.-1) and has a siope of 5.
y=x+5
y = 5x-1
y = 5x+1
y = 51-6
Answers
y=5x-6
Solution:First, let's write the equation of the line in Point-Slope Form:y-y1=m(x-x1)y-(-1)=5(x-1)y+1=5(x-1Convert into slope-intercept:y+1=5x-5y=5x-5-1y=5x-6Hope it helps.
Do comment if you have any query.
Which sentence is true?
A. 4/5 > 3/4
B. 4/5< 3/4
C. 4/5=3/4
D. 3/4> 4/5
Answers
Answer:
A.
Step-by-step explanation:
4/5 = 0.8
3/4 = 0.75
0.75 < 0.8
Which of the following is equivalent to sin A?
A: cos A
B: tan A
C: cos C
D: tan C
Answers
Answer:
C: cos C
Step-by-step explanation:
Hope it helps you in your learning process.
sin A = BC/AC = 15/17 .....(1)
cos C = BC/AC = 15/17 .....(2)
From (1) & (2)
sin A = cos C
Answer:
It´s C
Step-by-step explanation:
Cos C
Brainlist A 12" diameter 1-topping pizza costs $8.99. A 14" diameter 1-topping pizza costs $10.99. Which pizza option
gives you more for your money? Justify your answer.
Answers
Answer:
The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.
Step-by-step explanation:
We can find the price per square inch of each pizza.
area = πr²
12" diameter pizza
area = π × (6 in.)² = 36π in.²
cost per in.²: $8.99/(36π in.²) = 0.079 $/in.²
14" diameter pizza
area = π × (7 in.)² = 49π in.²
cost per in.²: $10.99/(49π in.²) = 0.071 $/in.²
The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.
briwilljohn
16 minutes ago
Mathematics
High School
GIVE A DETAILED AND GOOD ANSWER FOR BRAINLIEST
Question 2(Multiple Choice Worth 5 points)
(06.08A LC)
Look at the triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 1, and C at ordered pair 4, 1.
What is the length of the side AB of the triangle?
2
Square root of 20
6
Square root of 38
Answers
Answer:
Square root of 20 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!
2^2 + 4^2 = c^2
4 + 16 = c^2
20 = c^2
Now lets find the square root if any :)
[tex]\sqrt{20}[/tex] = no square root
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
im answering so you can give other guy brainliest :)
two times a number less 4 is greater than the same number plus 6. for what number or numbers is true?
Answers
Answer:
n > 10 meaning, n is greater than 10
Step-by-step explanation:
Two times a number : 2n
Less 4 : -4
2n-4
Greater than the same number : >n
Plus 6 : +6
> n+6
2n-4 > n+6
To find n, we have to get n alone and equal to a single number. To do this, we first subtract 6 from both sides.
2n-10 > n
Then, subtract 2n from both sides
-10 > -n
Now, divide by -1
10 < n
So, n is greater than 10
The area of a rectangular field is 4526 m².
If the width of the field is 62 m, what is its length?
Answers
Answer:
73 m
Step-by-step explanation:
The formula for the area of a rectangle is a = w(l). Using this, we can plug in the given values and solve for l, the length.
4526 = 62(l)
[tex]\frac{4526}{62} =\frac{62l}{62}[/tex]
l = 73
hope this helps!
Answer: 73 meters
Step-by-step explanation:
The simple formula to calculate the area of a regular rectangle is (Length x Width)
Given the area is 4526, and the width 62, we can use "y" to represent the unknown length.
So, '
62(y)=4526
Divide both sides by 62
1/2[62(y)]=4526/62
Y= 73 meters.
To check, 73x62= 4526, which follows the formula
the sum of two consecutive integers is 23. what are the numbers?
Answers
Answer:
23
Step-by-step explanation:
the 1st number is x
because they are consecutive:
2nd number is (x+1)
now,
x+(x+1)= 23
2x=23–1
2x=22
x=22/2= 11
so two consecutive numbers are 11 & (11+1)=12
now 11+12=23
Answer:
11 and 12
Step-by-step explanation:
Let the integers be x and x + 1.
Sum of two consecutive integers is 23.
x + x + 1 = 23
2x + 1 = 23
2x = 23 - 1
2x = 22
x = 22 / 2
x = 11
x + 1
= 11 + 1
= 12
The numbers are 11 and 12.
Which expression represents the surface area of the prism?
Answers
Answer:
A, 2 · 8 + 2 · 55 + 88
Step-by-step explanation:
If we find the area of the two triangles above and below, we know the area of one triangle is 8 because (formula for area of triangle: a = bh x 1/2, and a = 8(2) x 1/2 which equals 8). So if we double this area, we would get 2 · 8.
If we were to find the area of both the rectangles that are left and right of this figure, we know the area of one rectangle would be 55 because (formula for area of rectangle: a = l x w, and a = 5(11) would equal 55). So if we'd doubled this, we would get 2 · 55.
If we were to find the area of the rectangle in front of this entire figure, we know the area would be 88 because (formula for area of rectangle: a = l x w, and a = 11(8) which would equal 88).
So if we find the surface area of this figure, we'd just need to piece this together to form:-
2 · 8 + 2 · 55 + 88
Answer:
2 · 8 + 2 · 55 + 88
Step-by-step explanation:
I do it right in khan academy
For what values of x is x2 2x = 24 true? –6 and –4 –4 and 6 4 and –6 6 and 4
Answers
The value of the x of the equation x² + 2x = 24 is negative 6 and 4, then the correct option is C.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression equation is given below.
x² + 2x = 24
x² + 2x – 24 = 0
On factorization, we have
x² + 2x – 24 = 0
x² + 6x – 4x – 24 = 0
(x – 4)(x + 6) = 0
x = –6, 4
The value of x is –6 and 4.
More about the factorization link is given below.
https://brainly.com/question/6810544
find the measures of x and y
please helppp!
Answers
Answer:
Each angle has a measure of 75 degrees
Step-by-step explanation:
First of all, we know that angle Z has a measure of 120 degrees and that angle W is a right angle. This means that the measure of angle W would have to be 90.
Next, we know that because the shape is a quadrilateral, the sum of its interior angles has to be equal to 360. Since we know that the measure of angles X and Y are equal (by definition of congruent), we will label them both with the variable x. We can then say the following:
2x + 90 + 120 = 360
We can then proceed to simplify this:
2x + 210 = 360
2x = 150
x = 75
So, the measure of x and y are 75.
3. A triangle has two angles that measure 85° and 23°. Which has to be the measure of the third angle?
A.95°
B.157°
C.108°
D.72°
Answers
Answer:
72
Step-by-step explanation:
Answer: D. 72°
Step-by-step explanation:
Because a triangle equals 180 we take the given info in order to find x
[tex]85+23+x=180\\108+x=180[/tex]
[tex]108+x=180\\-108=-108\\x=72[/tex]
the club sells 144 cans of lemonade what is the least number of bottles of water that must be sold to cover the cost of rending costumes
Answers
Answer:
A total of 142 units of water bottles must be sold to recover the costs of renting costumes.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
HI CAN HELP MEEEE I DONT KNOW THIS
Answers
Answer:
Option B, [tex]2x^2 - 3x + 10[/tex]
Step-by-step explanation:
Step 1: Distribute the values
[tex]2(x^2 + 5)-3(x+1) + 3[/tex]
[tex](2*x^2 + 2*5) - (3*x + 3*2) + 3[/tex]
[tex]2x^2 + 10 - 3x - 3 + 3[/tex]
Step 2: Combine like terms
[tex]2x^2 + 10 - 3x - 3 + 3[/tex]
[tex]2x^2 - 3x + 10[/tex]
Answer: Option B, [tex]2x^2 - 3x + 10[/tex]
Answer:
The correct answer is B
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Which statements must be true according to the histogram? check all that apply. the data is qualitative. the data is skewed right. there were 31 people at the party. there were children at the party. the most common age of the attendees was 13 years old. the majority of the people at the party were less than 61 years old.
Answers
The statements that must be true according to the data presented by the considered histogram are:
Option 2: the data is skewed right. Option 3: there were 31 people at the party.Option 6: the majority of the people at the party were less than 61 years old.How to identify skewed graph?A skewed distribution is a distribution having bias on one of the two sides (either left or right).
It is like leaning mountain on one side (left or right).
A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph.The missing image of the considered histogram is attached below.
Checking all the options:
Option 1: the data is qualitative.It is wrong. The data is numeric, and therefore, not describing qualities, so its not a qualitative data.
Option 2: the data is skewed right.The histogram has long tail on the right side, so its right skewed. Thus, this option is correct.
Option 3: there were 31 people at the party.Age group Frequency (number of people of that age group in party)
0-20 5
21-40 13
41-60 8
61-80 3
81-100 2
total 5+13+8+3+2 =31
So yes, there were total 31 people at the party as a person can be at max in one age group, so no repeated counting.
Option 4: there were children at the party.From 0 to 20 age group, there were 5 people. But it isn't known if they were < 18 or ≥ 18 (this is the side effect of grouped data, the loss of some information). So this option is not necessarily correct.
Option 5: the most common age of the attendees was 13 years old.It is false. The most common age was from the group 21-40 years old. And 13 is < 20, so it doesn't lie in this group.
Option 6: the majority of the people at the party were less than 61 years old.
Total number of people < 61 = 5+13+8 = 26
26 is more than half of 31 people. So yes, this option is correct.
Thus, the statements that must be true according to the data presented by the considered histogram are:
Option 2: the data is skewed right. Option 3: there were 31 people at the party.Option 6: the majority of the people at the party were less than 61 years old.Learn more about skewed distribution here;
https://brainly.com/question/13111221
7th grade math and serface area
Answers
Answer:
108 square yards
Step-by-step explanation:
l = 6 yd
w = 4 yd
h = 3 yd
Surface area of rectangular prism = 2*(lw +wh + hl)
= 2*(6*4 + 4*3 + 3*6)
= 2* ( 24 + 12 + 18)
= 2 *54
= 108 square yards
Proportions word problems Financial Algebra
1. Emily enlarged the size of a painting to a width of 15 in. What is the new height if it was originally 3 in. Wide and 4 in. Tall?
17 in.
5 in.
20 in.
23 in.
2. 20 Fuji apples cost $12. How many Fuji apples can you buy for $3?
8
5
7
1
3. The currency in Egypt is the Pound. The exchange rate is approximately $1 for every 6 Pounds. At this rate, how many dollars would you get if you exchanged 12 Pounds?
$72
$5
$6
$2
4. Mike was planning a trip to Jordan. Before going, he did some research and learned that the exchange rate is 3 Dinars for every $4. How many Dinars would he get if he exchanged $12?
9 Dinars
0 Dinars
14 Dinars
8 Dinars
5. If you can buy four bunches of seedless black grapes for $10, then how many can you buy with $5?
3
2
1
13
6. Ryan was planning a trip to Switzerland. Before going, he did some research and learned that the exchange rate is $3 to 4 Francs. How many Francs would he get if he exchanged $12?
16 Francs
14 Francs
9 Francs
6 Francs
7. Pranav took a trip to Jordan. Upon leaving he decided to convert all of his Dinars back into dollars. How many dollars did he receive if he exchanged 16 Dinars at a rate of 2 Dinars for every $3?
$10. 67
$24
$22
$20
8. The money used in Saudi Arabia is called the Riyal. The exchange rate is 7 Riyals = $2. Find how many Riyals you would receive if you exchanged $4.
18 Riyals
14 Riyals
1 Riyals
12 Riyals
Answers
What is the mean absolute deviation (mad) of the data set? 2, 5, 6, 12, 15 enter your answer as a decimal in the box.
Answers
Answer: 4.4
To find the mad you have to first find the mean of the data set then you have to find the sum of the data values and divide the sum by the number of data values.
Hey, help with my homework pls
(Find the missing value in each of the pairs of equivalent ratios below)
X/10 = 6/15
12/9 = 8/X
16/38 = 200/m
Answers
Answer:
4, 6, and 475
Step-by-step explanation:
See attached image.
A pizza shop sells 6 pizza rolls for 10.74. At this rate, in dollars and cents, how much would 9 pizza rolls cost?
Answers
Answer:
$16.11
Step-by-step explanation:
10.74÷6
times the number you get by 3
add that number to 10.74
A diver jumps from a diving board. The diver's height (h in meters) of his
feet above the water is found using the equation h(t) = -4.9t? +91 +3 where
t is the time in seconds after the diver jumps. What is the height of the
diving board above the water?
Answers
h(t) = -4.9(0) + 91 + 3 = 94 meters
but this seems extremely high so please check that you have copied the question down correctly.
This year, you owed $6,414.95 in federal income tax. if you are taxed at a net rate of 17%, what was your taxable income for this year? a. $109,054 b. $26,792 c. $44,867 d. $37,735 please select the best answer from the choices provided a b c d
Answers
The taxable income for this year will be $37,735. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
This year, you owed $6,414.95 in federal income tax.
If you are taxed at a net rate of 17%.
Then the taxable income for this year will be given by
[tex]\rm Taxable\ income = \dfrac{6414.96}{0.17}\\\\Taxable\ income = 37735.05 \approx 37735[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
Answer:
37,735
Step-by-step explanation:
5x – 5 = 7x + 1 what is this question
Answers
Answer:
x = - 3
Step-by-step explanation:
5x - 5 = 7x + 1 ( subtract 7x from both sides )
- 2x - 5 = 1 ( add 5 to both sides )
- 2x = 6 ( divide both sides by - 2 )
x = - 3
Answer: x = -3
Step-by-step explanation: Here is my explanation...
Step 1: Take away 5x from both sides 5x - 5x - 5 = 7x - 5x + 1.
Step 2: You should then get -5 = 2x + 1, then take away 1 from both sides -5 - 1 = 2x + 1 - 1
Step 3: -6 = 2x, divide 2x on both sides -6/2 = 2x/2
x = -3
Work Check:
5 (-3) - 5 = 7 (-3) + 1
-15 - 5 = -21 + 1
-20 = -20
If the -20 = -20 then this proves that x = -3. I hope this helped!
Karina solves the system using linear combination and arrives at the equation 116y = 96.28. she then solves this equation for y. which statement explains karina’s solution? the cost of natural gas is $0.17 per unit. the cost of natural gas is $0.20 per unit. the cost of natural gas is $0.72 per unit. the cost of natural gas is $0.83 per unit.
Answers
The correct option is D. The cost of natural gas is $0.83 per unit.
What is a linear equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation
Consider the provided equation.
116y=96.28
We need to solve the above equation for y.
Divide both sides by 116.
[tex]\dfrac{116y}{116}=\dfrac{96.28}{116}[/tex]
[tex]y=0.83[/tex]
Now consider the provided options.
Hence, the correct option is D. The cost of natural gas is $0.83 per unit.
To know more about Linear equations follow
https://brainly.com/question/14323743
Segment (JG) bisect ∠FGH. Use the proportion from (FJ) to (FG) to find the missing length of (HJ)
Answers
Answer:
HJ = 6
Step-by-step explanation:
The sides are in the proportion :
[tex]\frac{FJ}{FG} = \frac{HJ}{HG}[/tex]Therefore,
[tex]\frac{4}{6} = \frac{2}{3} = \frac{HJ}{9}[/tex]HJ = 18/3HJ = 6What is the median of the data shown?
38, 50, 43, 33, 35, 30, 64, 43, 41
Answers
The median is the middle number in the data.
Sort them out in order.
30, 33, 35, 38, 41, 43, 43, 50, 64
The middle number is 41 so the median is 41.
1/3m - 1 - 1/2n evalute
Answers
Answer:
Step-by-step explanation:
1) Simplify 1/3m to m/3.
m/3 - 1 - 1/2n
2) Simplify 1/2n to n/2.
m/3 - 1 - n/2
If the side of a square is 3/4 feet, what is the area of the square
Answers
[tex]\text{Area of square}=~ \text{Side}^2\\\\~~~~~~~~~~~~~~~~~~~~~=\left(\dfrac 34 \right)^2\\\\~~~~~~~~~~~~~~~~~~~~~=\dfrac{9}{16}~ \text{ft}^2[/tex]
Answer:
0.5625
Step-by-step explanation:
The formula is (L x W)
L = 3/4
W = 3/4
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
There are some dogs cats and rabbits in a pet farm the number of dogs is 3/5of the total number of cats and rabbits .
Answers
Let the number of cats in a farm be [tex]x[/tex] and the number of rabbits be [tex]y[/tex]. The total number of cats and rabbits would be be [tex]x + y[/tex]. As the number of dogs in the farm are [tex]\frac{3}{5}^{th}[/tex] the total number of cats and rabbits, so:
Number of dogs in the farm = [tex]\frac{3}{5} (x + y)[/tex]