Answer:
Something like this
Step-by-step explanation:
distance √(-1 - 5)² + (-6 - -4)² = √36 + 4 = √40 = 6.32
slope = 2/-6 = -1/3
distance (-1,-4) to (0, -4.63)
√(-1 - 0)² + (-4 - -4.63...)² = √1.4 = 1.18
6.32 - 1.18 = 5.14
1.18 : 5.14
Answer:
ratio 5:1
coordinates (0,-13/3)
Step-by-step explanation:
let any point on y-axis (0,y) divides the join of A(5,-6) and B(-1,-4) in the ratio k:1
[tex]0=\frac{-1(k)+1(5)}{k+1} \\or~0=-k+5\\or~ k=5\\\therefore ~y-axis~ divides ~A,B~in~the~ratio~5:1\\y=\frac{5(-4)+1(-6)}{5+1} =\frac{-26}{6} =-\frac{13}{3}[/tex]
so coordinates of point of intersection are (0,-13/3)
A local dog show features 8 Portuguese water dogs. The weights of the dogs are 38, 40, 42, 46,
45, 39, 42, 40. What are the mean and median weights of the Portuguese water dogs in the dog
show?
Answer:
[tex] \boxed{ \bold{ \sf{Mean \: = 41.5}}}[/tex]
[tex] \boxed{ \bold{ \sf{Median = \: 41}}}[/tex]
Step-by-step explanation:
Given weights of the dogs :
38 , 40 , 42 , 46 , 45 , 39 , 42 , 40
Find the sum of the whole data:
sum of all items ( Σx ) = 38 + 40 + 42 + 46 + 45 + 39 + 42 + 40 = 332
Number of items ( n ) = 8
To find mean, divide the sum by the total number of data.
Finding the mean weights:
[tex] \boxed{ \sf{Mean = \: \frac{ Σx}{n}}} [/tex]
⇒[tex] \sf{ \frac{332}{8} }[/tex]
⇒[tex] \sf{41.5}[/tex]
Mean weights = 41.5
-----------------------------------------------------------------------
Finding the median
To find the median, arrange the given data in ascending order.
Given data : 38, 40 , 42 , 46 , 45 , 39 , 42 , 40
Arranging the data in ascending order :
38 , 39 , 40 , 40 , 42 , 42 , 45 , 46
Total number of observation ( n ) = 8
Finding the position of median
[tex] \boxed{ \sf{Position \: of \: median = ( \frac{n + 1}{2} ) ^{th} item}}[/tex]
⇒[tex] \sf{( \frac{8 + 1}{2} ) ^{th} item}[/tex]
⇒[tex] \sf{( \frac{9}{2} ) ^{th} item}[/tex]
⇒[tex] \sf{ {4.5}^{th} item}[/tex]
4.5 th item is the average of 4 th and 5th items .
Here, 4 th item = 40
5 th item = 42
Finding the median
[tex] \boxed{ \sf{Median = ( \frac{{4}^{th} \: item + {5}^{th} item}{2}) }}[/tex]
⇒[tex] \sf{ \frac{40 + 42}{2} }[/tex]
⇒[tex] \sf{ \frac{82}{2} }[/tex]
⇒[tex] \sf{41 }[/tex]
Hope I helped!
Best regards!!
Answer:
A local dog show features 8 Portuguese water dogs. The weights of the dogs are 38, 40, 42, 46,
45, 39, 42, 40. What are the mean and median weights of the Portuguese water dogs in the dog
show?
Step-by-step explanation:
Last one, use trigonometry to help you solve for y given that one side is 4 and there is an angle of 50 degrees.
Answer:
y = 6.22
You can solve this in two ways.
1.) Use SOH CAH TOA:
I typically start off by labeling the sides of the triangle with H (hypotenuse), O (opposite), and A (adjacent). Because I need to figure out what y is when given an angle and 4, I will use CAH, or cosine.
[tex] \cos(angle) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(50) = \frac{4}{y} [/tex]
[tex] \cos(50) \times y = 4[/tex]
[tex]y = \frac{4}{ \cos(50) } [/tex]
[tex]y = 6.22[/tex]
2.) Use Law of Sines:
Solve for the last angle inside the triangle first.
[tex]180 - (50 + 90) = 40[/tex]
Then use the angle you found (40°) in the equation.
[tex] \frac{4}{ \sin(40) } = \frac{y}{ \sin(90) } [/tex]
[tex] \frac{4}{ \sin(40) } \times \sin(90) = y[/tex]
[tex]y = 6.22[/tex]
Mrs. Lawrie tried to write this number in standard form and made a mistake. What was Mrs. Lawrie's mistake? 600,000 + 8,000 + 500 + 70 + 3 = 68,573 what did she do wrong
Answer:
Mrs. Lawrie forgot the 600,000 in the equation. Answer = 608,573
Step-by-step explanation:
The equation was:
600,000 + 8,000 + 500 + 70 + 3 = 608,573
Mrs. Lawrie got 68,573, while the answer was 608,573
help me with this plzzzzz
Answer:
C
Step-by-step:
The answer is c because 7.6 & 8.2 are both rational numbers and it goes onto natural numbers. They are also ordered in the from least to greatest like on a number line, 7.6, 8.2, 50, 65, 78. Plus, I'm kinda on the same unit.
If p, q and r were three statements such that p → q and q → r then p → r, this is called
Answer: Law of syllogism
Step-by-step explanation:
Law of Syllogism is described as
a logical reasoning by using transitivity.a valid argument that applies deductive reasoning to get the final statement. it is similar to transitive property that if a=b and b=c then a=c.So if p, q and r were three statements such that p → q and q → r then p → r, this is called law of syllogism.
For example: When Rita gets internet Shamy gets internet. When Shamy gets internet Raj gets internet.
By law of syllogism : When Rita gets internet Raj gets internet.
If (1,-1) is a point on the line 2x-(2a+5)y=5 then find the value of a
Answer:
a = - 1Step-by-step explanation:
Since ( 1 , -1) is a point on the line 2x-(2a+5)y=5 we can substitute it into the equation to find a
We have
2(1) - (-1)(2a + 5) = 5
Multiplying two negatives make a positive
That's
2 + 2a + 5 = 5
2a + 7 = 5
Group like terms
Send the constants to the right side of the equation
That's
2a = 5 - 7
2a = - 2
Divide both sides by 2
That's
[tex] \frac{2a}{2} = \frac{ - 2}{2} [/tex]We have the final answer as
a = - 1Hope this helps you
rose had $1000 in her bank account when she was 8 year old. each birthfay her grandma gave rose $20 until she turned 21
Answer:
1260
Step-by-step explanation:
Subtract 21 from 8,to get 13.Multiply 13 to the 20 dollars,when you do that you get 260.You add the 260 and the 1000 dollars together.
Solve the equation x/2-6=y for x
Answer:
x = 2y + 12Step-by-step explanation:
x/2 - 6 = y+6 +6
x/2 = y + 6×2 ×2
x = 2(y + 6) x = 2y + 12evaluate the expression m + p for m = 9 and p =7
Answer:
16
Step-by-step explanation:
Step 1: Write out expression
m + p
Step 2: Define variables
m = 9
p = 7
Step 3: Plug in variables
9 + 7
Step 4: Evaluate
16
Please solve #5 and show your work! Will give BRAINLIST!!
Answer:
damita
Step-by-step explanation:
erin: 2/12 = 0.1666667
damita: 4/16 = 0.25
jayden: 3/15 = 0.2
0.25 is the highest concentration
Pls halp due today >_<. Thank you
Answer:
-√(1/4) is smaller
Step-by-step explanation:
Step 1: Evaluate -√(1/4)
-√(1/4) = -(0.5) = -0.5
Step 2: Evaluate -1/5
-1/5 = -0.2
Step 3: Align
-0.5 < -0.2
the hypothenus of a right angle triangle is 13cm. if one other side of the triangle is 1cm shorter than the hypothenus, calculate the third side of the triangle
Answer:
5 cm.
Step-by-step explanation:
Let the lengths of the other 2 sides be 13-1 = 12 and x cm.
Then by Pythagoras:
13^2 = 12^2 + x^2
x^2 = 13^2 - 12^2
x^2 = 169 - 144 = 25
x = √25
x = 5 cm.
Step-by-step explanation:
Hey, there!!
As per your question,
There is a Right angled triangle, whose hypotenuse is 13 cm, one side is (13-1)=12 cm.
another side = ?
Let ABC be a Right angled triangle, taking angle "theta" as a refrence angle.
Hypotenuse (h)= 13 cm.
base ( b) = x
perpendicular (p)= 12cm.
By Pythagoras relation we get,
[tex]b = \sqrt{ {h}^{2} - {p}^{2} } [/tex]
[tex]b = \sqrt{ {13}^{2} - {12}^{2} } [/tex]
[tex]b = \sqrt{169 - 144} [/tex]
Therefore, base is 5 cm. Or the third side is 5 cm.
Hope it helps...
7(6+5n) + 5(7 + n) = 37
I need help please
Answer:
or, 42+35n+35+5n=37
or, 77+40n=37
or, 40n=40
so, n=1
Step-by-step explanation:
hope it helps you
Find the slope of the line containing the points (-5,-4) and (-3,-6)
If 225 is the dividend and 15 is the divisor, then what is the quotient?
Answer:
The answer is 15.
Step-by-step explanation:
When dividing 225 by 15 you can multiply 15 by 15 and you will get 225.
This year,a farm planted 400,000corn stalks.Last year,the farm planted 275,650cornstalks. How many more cornstalks did the farm plants this year than last year?
Answer:
The farm planted 124,350 more cornstalks
Step-by-step explanation:
Here in this question, we want to know how much more corn stalks did a farm plant this year compared to last year.
Let’s picture it this way;
Possibly due to expansion purposes, the farm planted more cornstalks this year than last year. So to find the difference in the cornstalks planter between the two years, what needs to be done is simply to subtract the number of corn stalks planted last year from the number of corn stalks planted this year.
From the question, the number of cornstalks planted last year was 275,650 while the number of cornstalks planted this year was 400,000; So the difference between the two will be ;
400,000 - 275,650 = 124,350 cornstalks
4. Bill Watson is the Swanton Village computer technician. He earns $22.22 per hour. What is his straight-time pay for a 36-hour week?
Answer:
$799.92
Step-by-step explanation:
To find his pay, multiply the number of hours he worked by his pay per hour:
22.22(36)
= 799.92
So, his pay was $799.92
On Monday the temperature was 32° On Tuesday the temperature was -5°. What was
the change in temperature?
Answer:
37°
Step-by-step explanation:
Think of 0° as a reference point. Then 32° is above this reference by 32 degrees, and -5° is below it by 5 degrees. Summing up 32 and 5, we get 37. The change in temperature was 37°
Convert the angle to degrees, minutes, and seconds. 292.41°
Answer:
292° 24' 36"
Step-by-step explanation:
d = int(292.41°) = 292°
m = int((292.41° - 292°) × 60) = 24'
s = (292.41° - 292° - 24'/60) × 3600 = 36"
292.41°
= 292° 24' 36"
Answer:
292 degrees 24 minutes and 36 seconds:
292° 24' 36"
Step-by-step explanation:
There are 60 minutes in a degree and 60 seconds in a minute.
so 0.41 degrees = 0.41 * 60 = 24.6 minutes
and 0.6 of a minute = 0.6 * 60 = 36 seconds.
there is a pattern (2,4) (4,6) (6,9) (8,12) what is the 8th group
Answer:
(2,4) (4,6) (6,9) (8,12)
First bracket : Add 2
Second bracket : Add 2
Third bracket : Add 3
Fourth bracket: Add 4
This is all I know
At a height of 3,281 feet, Angel Falls in Venezuela is the tallest waterfall in the world. Niagara Falls in the United States is only 190 feet tall. About how much taller is Angel Fall
Answer:
Angel Fall is 3091 ft taller.
Step-by-step explanation:
Height of Angel fall = 3281 ft
Height of Niagara falls in the United States = 190 ft
Angel fall is taller than Niagara Fall by
==> 3281 - 190 = 3091 ft
Hailey divided 92 ÷ 5. Her work is shown below.
92 divided by 5. 5 goes into 9 1 time. 9 minus 5 = 4. 5 goes into 42 8 times. 42 minus 40 = 2. The answer is 18 R 2. There are 5 groups of 1 ten plus 8 ones.
Which statements are true about Hailey’s work? Check all that apply.
Hailey found the correct quotient.
The “1” in the quotient represents the number of tens in each of the 5 groups.
Hailey placed the dividend and divisor in the wrong places in the problem.
The “R2” represents the number of ones in each of the 5 groups.
Since only 5 tens could be divided evenly among the groups, Hailey subtracted 5 from 9 to find out how many tens were left over.
Answer:
The “1” in the quotient represents the number of tens in each of the 5 groups.
Since only 5 tens could be divided evenly among the groups, Hailey subtracted 5 from 9 to find out how many tens were left over.
Step-by-step explanation:
Given:
92÷5
Hailey's workings:
92 divided by 5.
5 goes into 9 1 time.
9 minus 5 = 4.
5 goes into 42 8 times.
42 minus 40 = 2.
The answer is 18 R 2.
The true statements about Hailey's work are:
The “1” in the quotient represents the number of tens in each of the 5 groups.
Since only 5 tens could be divided evenly among the groups, Hailey subtracted 5 from 9 to find out how many tens were left over.
There are 7 pens in a bag. Four of the pens are blue and the other 3 are red. What's the probability of pulling out a red
pen? Write your answer as a fraction.
Answer:
3/7
Step-by-step explanation:
P(red) = number of red pens / total number of pens
= 3/7
Answer:
3/7
Step-by-step explanation:
Total pens = 7
Blue pens = 4
Red pens = 3
probability of pulling out a red pen
= No of red pens / Total pens
= 3/7
Idk how to do this!!?!?
Answer:
∠ AED = 130°
Step-by-step explanation:
CD is a straight line, thus
∠ AEC + ∠ AED = 180° , that is
50° + ∠ AED = 180° ( subtract 50° from both sides )
∠ AED = 130°
1/3 + a + 5/4. what is A
Answer:
a = -1.58
Step-by-step explanation:
1/3 +a+5/4 =0
1/3+5/4= -a
4+15/12 = -a
19/12 = -a
1.58= -a
1.58/-1 = -a/-1
-1.58 = a
Solve for x: the quantity of x plus 20 over 2 = 3x
Answer:
x = 4
Step-by-step explanation:
For this problem, we simply need to convert the words into the left hand side of the equation and solve for x:
The quantity of implies a grouping
x plus 20 is the quantity
And we want the quantity over 2 all equal to 3x:
( x + 20 ) / 2 = 3x
( x + 20 ) = 6x
20 = 5x
4 = x
And now we can check to see if x is correct by plugging back into the equation:
( x + 20 ) / 2 = 3x
( (4) + 20 ) / 2 ?= 3(4)
( 24 ) / 2 ?= 12
12 == 12
Therefore, we have shown the value of x to be equal to 4.
Cheers.
Answer:
x+20/2=3x.
6x=x+20.
6x-x=20.
5x=20.
x=4.
What value of x will make each equation below true? 4x-1=4x+7
Answer:
4X-1=4X+7
4x - 4x = 1 + 7
0 = 8
Step-by-step explanation:
Since there is no value of x that will make this true,
this has no solution and x is the empty set.
Answer:
Step-by-step explanation:
4x-1=4x+7
4x-1-4x=4x+7-4x
-1=7
Need help Only 5 questions
Answer:
for question no 5
answer is 1/10
what number set 1/2 belongs to? rational, irrational, integer, or natural
Answer:
Rational
Step-by-step explanation:
1/2 would be 0.5 and 0.5 goes into the Rational catagory.
I need help! I can’t understand!