Answer:
Perimeter of triangle = 14.82 approx.
Step-by-step explanation:
Given:
D(5, 6)
E (10, 9)
F(7, 11)
Find:
Perimeter of triangle
Computation:
Distance = √(x1-x2)² + (y1-y2)²
Perimeter of triangle = DE + EF + FD
Perimeter of triangle = √(5-10)² + (6-9)² + √(10-7)² + (9-11)² + √(7-5)² + (11-6)²
Perimeter of triangle = √25 + 9 + √9 + 4 + √4 + 25
Perimeter of triangle = √34 + √13 + √29
Perimeter of triangle = 5.83 + 3.6 + 5.3851
Perimeter of triangle = 14.8151
Perimeter of triangle = 14.82 approx.
Find the equation of the line with slope =8 and passing through (3,21) write your equation in the form y=Mx+b
Answer: y = 8x -3
Step-by-step explanation:
we know the slope already which is 8.
so the equation is: y = 8x + b
subsutite the x and y to get the value of b
21 = 8(3) + b
21 = 24 + b
b = -3
So the equation is: y = 8x -3
The equation with the given condition is y=8x-3.
Given that, the slope of an equation (m)=8 which is passing through (3, 21).
We need to find an equation for the given condition.
What is slope intercept form?The slope-intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis). The equation of the line is the equation that is satisfied by each point that lies on that line.
Now, put m=8 and the coordinates (3, 21) in y=mx+b and simplify.
That is, 21=8×3+b
⇒21=24+b
⇒b=-3
So, the equation is y=8x-3
Therefore, the equation with the given condition is y=8x-3.
To learn more about the slope-intercept form visit:
https://brainly.com/question/9682526.
#SPJ2
help please “SHOW YOUR WORK!”
Answer:
384π cm³ ≈ 1206.37 cm³
Step-by-step explanation:
Insert the values the problem gives to us.
V = π(12)²(8)/3
⇒ π(144)(8)/3
⇒ 384π ≈ 1206.37
Jonathan was riding his bike at 6 miles per hour and went 24 miles How long was Jonathan riding?
The figures are similar. Find x
Answer:
[tex]x=\frac{20}{3} =6.67[/tex]
Step-by-step explanation:
[tex]x=15*\frac{4}{9}=\frac{20}{3} =6.67[/tex]
Answer:
6 2/3 or 20/3 or 6.6667
Step-by-step explanation:
Since the figures are similar, you can find x through comparing ratios. To get from 9 to 4, multiply 9 by 4/9. To find x, you must then multiply 15 by 4/9.
15 x 4/9 = 6 2/3 or 20/3 or 6.6667
Write inequalities to represent the situations below.
Ryan exercises no less than 35 minutes per day. Use t to represent Ryan's amount of exercise (in minutes per day).
( ≤ < > ≥ )
Answer:
T<45
Step-by-step explanation:
More than is a greater than symbol
Inequalities help us to compare two unequal expressions. The inequality that can be used to represent the time for which Ryan exercise is t≥35.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given Ryan exercises no less than 35 minutes per day. The inequality that can be used to represent the time for which Ryan exercise is t≥35.
Learn more about Inequalities:
https://brainly.com/question/19491153
#SPJ2
Please help! Marking brainliest if correct.
Answer:
110 degrees
Step-by-step explanation:
Because these angles are vertical, 5x+15=8x-42. thus, 15=3x-42, 3x=57, and x=19. 5x+15=5(19) +15=110. So, m<CDE=110 degrees.
Answer:
110°
Step-by-step explanation:
Since CDE and FDG are vertical, they are congruent, so:
5x + 15 = 8x - 42
Solve the equation for x
57 = 3x
19 = x
Then solve for one of the angles (I chose CDE but FDG would also work)
5(19)+15
95 + 15
110
I need help with these fractions
Keith has a package of 75 marbles.He gave an equal number of marbles to each of his 8 friends. How many marbles will be left over?
Answer:
9
Step-by-step explanation:
The number of marble left if Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends, is 3.
What is division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups.
When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.
Given:
Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends,
Calculate the number of marble left as shown below,
The number of marble left = Reminder of (total number of marble / 8)
The number of marble left = Reminder of(75 / 8)
The number of marble left = 3
Thus, the number of marble left is 3.
To know more about division:
https://brainly.com/question/27566440
#SPJ5
-3z-z I need help pleeeaaassseee
which expressipm is equilivant to 6x + 7 - 12 * 2 -(9 + 2) - x
Answer:
7x * 14
Step-by-step explanation:
hope this helps :)
Example 1
(a) Consider the pulse rates of two patients in a hospital for ten different days:
Patient A: 17 16 70 69 70
75 78 70 71
69
Patient B: 59
92
60
80 71
65
50
88
95 70
Find the mean pulse rate for each patient and the corresponding range.
Answer:
1a. Mean pulse rate for A = 60.5
1b. Range for A = 62
2a. Mean pulse rate for B = 73
2b. Range for B = 45
Step-by-step explanation:
1a. Determination of the mean pulse for patient A.
Data => 17, 16, 70, 69, 70, 75, 78, 70, 71, 69
Mean =?
The mean pulse rate for patient A can be obtained as follow:
Summation of data = 17 + 16 + 70 + 69 + 70 + 75 + 78 + 70 + 71 + 69
Summation of data = 605
Number of data = 10
Mean = summation of data / number of data
Mean = 605 / 10
Mean pulse rate for A = 60.5
1b. Determination of the range for patient A
Data => 17, 16, 70, 69, 70, 75, 78, 70, 71, 69
Range =?
Range = Highest – Lowest
Highest = 78
Lowest = 16
Range = Highest – Lowest
Range = 78 – 16
Range for A = 62
2a. Determination of the mean pulse for patient A.
Data => 59, 92, 60, 80, 71, 65, 50, 88, 95, 70
Mean =?
The mean pulse rate for patient B can be obtained as follow:
Summation of data = 59 + 92 + 60 + 80 + 71 + 65 + 50 + 88 + 95 + 70
Summation of data = 730
Number of data = 10
Mean = summation of data / number of data
Mean = 730 / 10
Mean pulse rate for B = 73
2b. Determination of the mean pulse for patient B.
Data => 59, 92, 60, 80, 71, 65, 50, 88, 95, 70
Range =?
Range = Highest – Lowest
Highest = 95
Lowest = 50
Range = Highest – Lowest
Range = 95 – 50
Range for B = 45
Rahul visited Taj Mahal. He found that the fountains near
the entry gate are sprinkling in circles. If the area covered
by the sprinkler of two circles is in the ratio 25:36. Find the
ratio of their circumference.
Answer:
5:6.
Step-by-step explanation:
The areas are 2 dimensional and the circumference is one dimensional.
So the ratio of the circumferences is √25:√36
= 5:6.
2/3 X 12 for simplest form
Answer:
yufcyiciygciykgc, nbhgcv
Step-by-step explanation:
98yfgouyfuchkgcbvkhgcihdiytdiytditdytdiytdityghvhgcxdfsrtyuhkjbhcgfdxzsaewrsdxfhgyujkhjmnb cvngfjkhji
Answer:
2/3 x 12 = 8/x
8x
Suppose you asked 100 commuters how much they spend each year and obtained a mean of $167 spent on transportation and a standard deviation of $40. Using the 2 SE rule of thumb, calculate a 95% confidence interval for the mean and select the values that come closest to those that would fill the spaces in the following interpretation: we can be 95% confident that the mean amount of money spent on transportation lies between _____ and _____ .
Answer:
The correct answer is "$159 and $175".
Step-by-step explanation:
The give values are:
Mean,
= $167
Standard deviation,
[tex]\sigma[/tex] = $40
Number of commuters,
n = 100
Now,
⇒ [tex]SE=\frac{\sigma}{\sqrt{n} }[/tex]
On putting the given values, we get
⇒ [tex]=\frac{40}{\sqrt{100} }[/tex]
⇒ [tex]=\frac{40}{10}[/tex]
⇒ [tex]=4[/tex]
By using the 2 SE rule of thumb, we get
= [tex]$(167 - 2\times 4)[/tex]
= [tex]167-8[/tex]
= [tex]159[/tex] ($)
Or,
= [tex](167 + 2\times 4)[/tex]
= [tex]167+8[/tex]
= [tex]175[/tex] ($)
i.e,
$159 and $175
If the projections of vector à on x, y and z axis are 2,1,2 units respectively, find the angle at which vector à is inclined to the z-axis
Which describes the shaded portion of the figure? PLEASE HELP MEEE
Answer:
1/5=20%
Step-by-step explanation:
2x-7y=14
Solve for x
cual es el resuido de 729÷38
Answer:
19
Step-by-step explanation:
☺
The diagram shows a right-angled triangle.
hcm
7 cm
38°
What is the value of h?
Give your answer correct to 1 decimal place.
The measure of value of h from the trigonometric relations is h = 11.4 cm
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔABC
Now , the value of sides of the right triangle ABC is
AB = 7 cm
AC = h cm
The angle ∠ACB = 38°
Now , from the trigonometric relations , we know
sin θ = opposite / hypotenuse
Substituting the values in the equation , we get
sin θ = 7 / h
sin 38° = 7 / h
Multiply by h on both sides of the equation , we get
h ( sin 38° ) = 7
Divide by sin 38° on both sides , we get
h = 7 / sin 38°
Substitute the value of sin 38° = 0.6157
h = 7 / 0.6157
h = 11.369 cm
Rounding the value to 1 decimal place , we get
The value of h = 11.4 cm
Hence , The measure of value of h is h = 11.4 cm
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ1
help me plz due today
Answer:
4x , 2y , 5
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
The terms are
4x, 2y, 5
Hope that helps
The salaries of 4 players on a professional basketball team average $200,000 per year. If a fifth player is hired for $400,000 per year, what will be the average salary for the 5 players? Answer with supporting work:
If salary average of 4 players is making $200,000/yr, what's the total payroll? It should be $200K x 4 or $800,000.
Now if you add in that 5th player at $400,000 what is the total payroll of all 5 players? It should be $800,000 + $400,000 = 1,200,000. From there you can find the average of the 5 players by dividing!
Which expression is equivalent to 12x - 20 - 5(x
Answer:
7x-5 combine like terms order off operations hope this helped
Step-by-step explanation:
Answer:
Step-by-step explanation:
░░░░░▐▀█▀▌░░░░▀█▄░░░
░░░░░▐█▄█▌░░░░░░▀█▄░░
░░░░░░▀▄▀░░░▄▄▄▄▄▀▀░░
░░░░▄▄▄██▀▀▀▀░░░░░░░
░░░█▀▄▄▄█░▀▀░░
░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob
▄░▐░░░▄▄░█░▀▀ ░░
▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.
░░░░░░░▀███▀█░▄░░
░░░░░░▐▌▀▄▀▄▀▐▄░
░░░░░░▐▀░░░░░░▐▌░░
░░░░░░█░░░░░░░░█░
Round to the nearest thousandth
5906÷72
Answer:
82.028
Step-by-step explanation:
hope it helps
what is the other angel? help
Answer:
59.7 degrees
Step-by-step explanation:
see attached
Two gym classes are participating in Field Day. One class has 24 students and the other has 27 students. The gym teachers want to divide the students in each class into the largest possible equal groups, with no students left over. If all the groups have the same number of students, how many students are in each group?
HELP
Answer:
one class 25 and the other 26
Step-by-step explanation:
That's because if there is 24 students in each class then 3 students will be left in which the other class will take two and the other 1 student
Answer:
Step-by-step explanation:
Class 1: 24 students
Class 2: 27 students
24+27=51
51 divided by 2 = 25.5
25.5 students are in each group
write 5/17 has a mixed number
Answer:
Since 5/17 is a proper fraction, it cannot be written as a mixed number.
Step-by-step explanation:
Cannot be written as a mixed number.
PLEASE ANSWER THIS, LIKE ITS REALLY EASY I BEG. IM JUST HORRIBLE AT MATHS AND ILL GOVE BRAINLEST.
Answer:
(0,-2)
Step-by-step explanation:
Answer:
(0,-2)
Step-by-step explanation:
I hope im right!!
Natalie bought a three pack of erasers $1.47. At the same rate how much would a 10 pack of erasers cost?
Answer:
The price for a 10 pack of erasers would cost $4.09
Step-by-step explanation:
1.47 ÷ 3 = 0.49
0.49 × 10 = 4.9
Answer:
$4.9
Step-by-step explanation:
[ Unitary method]
3 pack of erasers = $1.47
1 pack = $1.47 / 3 = $ 0.49
10 pack = $ 0.49 x 10 = $4.9
(I hope im right!)
Scrieți multipli lui 7 mai mari decât 10 și mai mici decât 20
The answer is here:
7 . 2 = 14, 10 >14 > 507 . 3 = 21, 10 > 21 > 50
7 . 4 = 28, 10 > 28 > 50
7 . 5 = 35, 10 > 35 > 50
7 . 6 = 42, 10 > 42 > 50
Hope This Helps! Have A GREAT Day!
Geometry Help!
Please only answer if you know the answer. Look at the image below to answer the question.
Be sure to show all of your work and explain your thinking.
I posted 3 of these, so if you understand it, please go and check them out.
If you do not know the answer use the comment section, don't answer my question with a comment. Thanks, Good Luck!
Answer:
x = 8.8Step-by-step explanation:
To solve this you need the Law of sines
sin A / a = sin B / b = sin C / ca, b, c are the sides opposite to angles A, B and C respectively
Applied to the given triangle we have one side given, the opposite angle to be found.
sin 28 / x = sin (180 - 28 - 126) / 8.2sin 28 / x = sin 26 / 8.2x = 8.2 sin 28 / sin 26x = 8.8 (rounded)