Answers
n = - 8/3
Decimal Form:
n = - 2.6
Mixed Number Form:
n = - 2 2/3
Related Questions
Anrnav was 1.5m tall in the last couple years his height increased by 20%
How tall is anrav today?
Answers
Answer:
1.8 meters
Step-by-step explanation:
It was easy for me
We have a right triangle $\triangle ABC$ where the legs $AB$ and $BC$ have lengths $6$ and $3\sqrt{3},$ respectively. Medians $AM$ and $CN$ meet at point $P.$ What is the length of $CP$
Answers
By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.
Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -
AC² + BC² = AB²
AC² + (3√3)² = 6²
AC² = 9
AC = 3
So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -
M = ((0+6)/2, (0+0)/2) = (3, 0)
Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -
N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)
Now find the equation of the line passing through M and C, which is the line containing median AM -
slope = (3√3 - 0)/(3 - 0) = √3
y - 0 = √3(x - 3)
y = √3x - 3√3
And find the equation of the line passing through N and A, which is the line containing median CN -
slope = (0 - 3√3)/(0 - 6) = √3/2
y - 0 = (√3/2)(x - 6)
y = (√3/2)x - 3√3
Now, find the intersection point of these two lines, which is point P -
√3x - 3√3 = (√3/2)x - 3√3
x = 6/3.5
x = 12/7
y = √3(12/7) - 3√3
y = 3√3/7
So P is located at (12/7, 3√3/7).
Now use the distance formula to find the length of CP:
CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²
CP² = (33/7)^2 + (6√3/7)^2
CP² = 1089/49 + 72/49
CP² = 1161/49
CP = √1161/7
Therefore, the length of CP is (approximately) 3.43.
To learn more about Pythagoras Theorem from the given link
https://brainly.com/question/21970437
#SPJ1
given: AE and BD bisect each other.
prove: triangle ACB - triangle ECD
Answers
The Triangles are congruent by SAS Criteria.
The step by step explanation is there in the image I attached.
Hope it helps you....
Please mark as brainlliest!!!
Can somebody help me with 20. Thank you!!!
Answers
Answer:
What do you mean, I'll help.
Step-by-step explanation:
Can someone help me with this? I was wrong and cant figure it out
Answers
Answer:
A. 21.
Step-by-step explanation:
4x + 2 = 31 + 55 (external angle of a triangle theorem).
4x + 2 = 86
4x = 86 - 2
4x = 84
x = 84/4 = 21.
someone please help me quickly PLEASEEE!!!
Answers
He buys 2 shirts so in sum they cost 35.98
To work out the price of 3 socks we do
45.97 - 35.98 = 9.99
This gives us price of three socks
So now we divide by 3
9.99/3 = 3.33
Answer : 3.33
Which number is greater explain your reasoning .375 or 3/8? help!
Answers
Hey there!
“Which one of is greater 0.375 or 3/8?”
3/8
= 3 ÷ 8
= 0.375
.375 = 0.375
0.375 = 0.375
So, therefore NEITHER is greater because both numbers are EQUIVALENT to (EQUAL to) each other
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
⅜ = 0,375
3 ÷ 8 = 0,375
0,375 = 0,375
True.
Ryan earned $2400 a month. He recieved a raise, which increased his monthly pay to $2700. Did Ryan's pay increase or decrease? By how much?
Answers
Answer:
Ryan's pay increased by $300.
Step-by-step explanation:
Answer:
His pay increased by $300
Step-by-step explanation:
2,700-2,400
=300
What does this multiplication equation mean?
6 × 7 = 42
Select each correct answer.
Seven more than 6 is equal to 42.
Seven times as much as 6 is equal to 42.
Six times as much as 7 is equal to 42.
Six more than 7 is equal to 42.
Answers
Answer:
Step-by-step explanation:
Six times as much as 7 is equal to 42 would be the equation
Write the equation of each line in slope intercept form.
Answers
Step-by-step explanation:
Formulas and Formats we'll be using:
Slope Formula: [tex]m=\frac{y2}{x2} -\frac{y1}{x1}[/tex]
Slope-Intercept form: [tex]y=mx+b[/tex]
m = slope
b = y-intercept
Substitute (-6, 10) and (-3, -2) into the slope formula:
[tex]m=\frac{-2}{-3} -\frac{10}{-6}[/tex]
Simplify:
[tex]m=\frac{-12 \div 3}{3 \div 3}=\frac{-4}{1}[/tex]
[tex]m=-4[/tex]
*Per every -4 y, x increases by 1.
Points Included:
(-6, 10)
(-5, 6)
(-4, 2)
(-3, -2)
(-2, -6)
(-1, -10)
(0, -14)
Y-intercept:
Y-intercept represents x when it's equal to 0.
Using our points, we can determine that the y-intercept is at the point:
(0, -14)
-14 is the y-intercept.
Create a Slope-intercept form equation:
Formula: [tex]y = mx + b[/tex]
Substitute the slope, and y-intercept into the equation:
[tex]y=-4x-14[/tex]
Your equation is: [tex]y=-4x-14[/tex]
Writing quadratic functions
Answers
Answer:
So, y = x^2 is a quadratic equation, as is y = 3x^2 + x + 1. All of these are polynomial functions of degree 2. Often you will be given the quadratic ...
∆ABC has the vertices A(0,0) B(3,3) C(-3,3). Classify the triangle by its sides. Then determine whether it is a right triangle.
Answers
describe fully the single transformation that maps triangle A onto triangle B.
Answers
Hope this helps!
A 66-inch candle burns down in 12 hours. After how many hours will it have burned 5 3/4 inches?
Answers
Answer:
9.5 hours
Step-by-step explanation:
The mass of a tin of paint is 890 grams, correct to the nearest 10 grams. Workout the upper bound of the total mass of 10 tins of paint.
Answers
Answer:
8900
Step-by-step explanation: :þ
2. A certain 80 cm spring will stretch (in cm) three-sixteenths the weight (in kg) attached to
it. How long will the spring be if a 15-kg weight is attached to it?
Answers
5/9 rounded to the nearest thousand
Answers
0.556
Explanation:
When you divide 5 by 9, you get the answer 0.5555….
Simply count to the thousandth place after the decimal and round which gives the answer: 0.556
Help anyone please and thank you
Answers
the answer would 1/4 of a gallon
simply because 4 of the containers equals one gallon
A person has a bag containing quarters and dimes. There are a total of 72 coins in the bag, and the total value of the coins is $13.20. Determine how many quarters and dimes are in the bag.
Answers
Answer:
40 quarters and 32 dimesStep-by-step explanation:
Given:
Quarter = 25 ¢, number of quarters = qDime = 10 ¢, number of dimes = dTotal amount = $13.20 = 1320 ¢Required equations:
q + d = 7225q + 10d = 1320Solve by elimination, multiply the first equation by 10 and subtract from the second equation:
25q + 10d - 10q - 10d = 1320 - 10*7215q = 600q = 600/15q = 40Find p:
40 + p = 72p = 72 - 40p = 32Let's take the given as,
→ q = quarters (25)
→ d = dimes (10)
→ 1320 will be the amount
→ q + d = 72
→ 25q + 10d = 1320
Now we can solve for q,
→ (25q - 10q) + (10d - 10d) = 1320 - (10 × 72)
→ 15q = 1320 - 720
→ 15q = 600
→ q = 600/15
→ [ q = 40 ]
From this equation,
→ q + d = 72
We can solve for the d,
→ 40 + d = 72
→ d = 72 - 40
→ [ d = 32 ]
There are 40 quarters & 32 dimes.
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order. if the median is 17. find the value of k.
Answers
Answer:
k = 7
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle value then the median is the average of the 2 values either side of the middle.
5 , k + 3 , 2k + 1 , 3k - 2 , 26 , 31
↑ middle
Then
[tex]\frac{2k+1+3k-2}{2}[/tex] = 17 ( multiply both sides by 2 to clear the fraction )
5k - 1 = 34 ( add 1 to both sides )
5k = 35 ( divide both sides by 5 )
k = 7
The value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order
The median of the data set is 17.
The mid-terms are 2k+1 ,3k-2
(2k + 1 + 3k - 2)/2 = 17
5k -1 = 34
5k = 34 + 1
5k = 35
k = 35/5
k = 7
Thus, the value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
Learn more about the median here:
brainly.com/question/21396105
#SPJ5
The number of board games cannot be negative. Write this constraint.
The number of role-playing games cannot be negative. Write this constraint
Answers
Step-by-step explanation:
回答 你今天在做什么 我父亲是一个地球仪 并将其邮寄给今日印度的中央政府组 为年轻人提供在线学习 答案是肯定的 我不确定你是否
Which is the equation of a line that is parallel to the line y= -1/3x + 1
A.y= -1/3x + 1
B.y= 3x - 2
C.y= -1/3x + 2
D.y= 1/3x + 1
Answers
This line has the same slope (-1/3), so it’s parallel to the line given. Option A is incorrect because it’s just the same line.
Sam buys one bag of flour for $2.50, three packages of shredded cheese for $3.00 each, and n. packages of mushrooms for $3.50 each. If Sam paid $18.50 in all, how many packages of mushrooms did Sam buy?
Answers
Answer:
16.50
Step-by-step explanation:
2.50 + 3(3) + 2(3.50) = 2.50 + 9 + 5 = 16.50
Answer:
2
Step-by-step explanation:
One thing on flour costs $2.50
Three things of shredded cheese costs $9.00
$9.00 + $2.50=11.50
$18.50-11.50=$7.00
$7.00/$3.50=(2)
ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS
Answers
Answer:
the figure A was rotated 145° over the origin(0,0), and flipped over the x-axis, and for last it was moved 4 to the right and 1 down (x+4,y-1)
The sale of cars in a particular month is decreased by 20% is $3060. What was the sale of cars before reduction.
Answers
Answer:
$3672
Step-by-step explanation:
3060 x 20% = 612
612 + 3060 = 3672
Is the equations true.false.or open? x+3=5
Answers
Answer:
true
Step-by-step explanation:
i just plugged in 2 for x. 40% chance im right lol
Answer:
true
Step-by-step explanation:
Work out the size of angle x
Answers
This is because the 85° opposite angle is part of the triangle, and the 98° is apart of a straight line (180°-98°=82°) in which the 82° is also apart of the triangle (because of the c pattern) and lastly as it is a triangle you just do 180°-(85°+82°) which equals 13°
Answer:
Opposite angles are equal
Corresponding angles are equal
Angles on straight lines adds to 180
Angles in triangle adds to 180
180-98=82
82+85=167
180-167=13
Answer is 13
Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?
Answers
Answer:
33
Step-by-step explanation:
3*4*2.75=33
The pie chart represents the proportions of how Henry spent the £720 he took on holiday.
What fraction of his money did he spend on drink?
Give your answer in its simplest form.
Answers
Answer:
£114
Step-by-step explanation:
Rate brainliest please
[tex] \frac{57}{360} \times 720 = 114[/tex]
Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2. 5), (3, 6. 25). What value, written as a decimal, should Lena use as the common ratio? 1. 0 1. 5 2. 5 2. 0.
Answers
Answer:
r = 2.5
Step-by-step explanation:
Consider the y- coordinates of the plotted points
1 , 2.5 , 6.25
The common ratio r is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2.5}{1}[/tex] = [tex]\frac{6.25}{2.5}[/tex] = 2.5