Answer: constant of proportionality = 2.5
The perimeter of a rectangular field is 48m, if the length is twice the width . Find the area of the field.
Answer:
Step-by-step explanation:
→Perimeter (P) = 2×(L+W) Perimeter = 48m
But Length = 2 × Width
∴ P = 2×( 2W + W)
= 2×(3W)
48 = 6W
Divide both sides by 6
[tex]\frac{48}{6}[/tex] = [tex]\frac{6}{6}[/tex] W
∴Width (W) = 8m
→This means Length = 2W
= 2×8m
L = 16m
→Area of a rectangle = L × W
= 8m × 16m
∴ Area of the rectangular field= [tex]128m^{2}[/tex]
What’s a good estimate for 2,745 x 6.9? Show how you got you estimate.
Answer:
21000
Step-by-step explanation:
2745 -> 3000
6.9 -> 7
3000 x 7 =
21000
Sheriff Aniskin receives confidential information: the thief with the stolen accordion
has been traveling on a raft for 2 hour 40 minutes from Village Ivanovo toward
Village Sosnovka. Aniskin immediately leaves Sosnovka in a motorboat and travels
upstream toward the raft. Aniskin catches the thief 27 km from Sosnovka. Find the
speed of the raft if the speed of the motorboat in still water is 12 km/h and the
distance from Ivanovo to Sosnovka is 44 km.
The speed of the raft if the speed of the motorboat in still water is 3 km/h
What is speed?
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Let the speed of the raft (current) - r
Speed of motorboat - 12 km/h
The distance between villages - is 44 km
Let the time spent by Aniskin - t
The time the thief was in travel = 2 hr 40 min + t = 2 40/60 + t = 3/8 + t
The distance the thief traveled = 44 - 27 = 17 km
We have the following equations:
r(8/3 + t) = 17
(12 - r)t = 27
Simplify the equations:
r(8/3 + t) = 17 ⇒ rt + 8/3r = 17
(12 - r)t = 27 ⇒ 12t - rt = 27
Add up the equations and solve for r:
rt + 8/3r + 12t - rt = 44
8/3r + 12t = 44
r = 16.5 - 4.5t
Substitute r into the second equation:
(12 - 16.5 + 4.5t)t = 27
4.5t² - 4.5t = 27
9t² - 9t - 54 = 0
Solving we get
t = 3 h
Find r:
r = 16.5 - 4.5*3 = 3 km/h
Therefore the speed of the raft if the speed of the motorboat in still water is 3 km/h
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Please solve (20 points)
Answer:
104.65 m
Step-by-step explanation:
The plane with the smaller angle of depression is closer to the raft.
Taking the tan values of both planes :
Plane 1 (57°)
tan 57° = 3000 + x / h1.54 = 3000 + x / hh = 3000 + x / 1.54 (Equation 1)Plane 2 (48°)
tan 48° = x / h1.11 = x/hh = x/1.11 (Equation 2)Equate Equations 1 and 2 :
3000 + x / 1.54 = x/1.111.11 (3000 + x) = 1.54x3330 + 1.11x = 1.54x0.43x = 3330x = 77.44 mTaking the sin ratio to find distance :
sin 48° = 77.44/distance0.74 = 77.44/distancedistance = 77.44/0.74distance = 104.65 mSolve for x in the first equation, then solve the system using substitution. Write your answer as (x, y).
2x-6y=14
4x - y = 9
Answer:
( 18.4, 4.6 )
Step-by-step explanation:
2x - 6y = 14
Add 6y to both sides
2x = 6y + 14
divide both sides by 2
x = (3y + 7)
Substitute this ^ for x in the othe equation
4 (3y + y) - y = 9
distribute the 4
12y + 4y - y = 9
combine like terms
15y = 9
divide both sides by 15
y = 4.6
Now substitute this value for y in the equation we previously substituted .to find the value of x
x = 3 (4.6) + 4.6
x = 13.8 + 4.6
x = 18.4
Hope this makes sense and was helpful!
helppppppppppppppppppppp
Answer:
10 duh
Step-by-step explanation:
Find the center of the circle whose equation is (x - 5) 2 + (y + 3) 2 = 6.
Answer:
(5, -3)
Step-by-step explanation:
Solve for x and solve for y by making each set of brackets equal to 0
PLS HELP QUICKLY
Data was collected at a pool. It showed that being older does not imply that a swimmer will stay for a shorter or longer amount of time. What is likely true?
There is no correlation between age and length of stay.
There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this.
There is a correlation between age and length of stay. However, there is no causation. This is because there is likely an increase in the length of stay with a decrease in age.
The true statement is there is no correlation between age and length of stay.
What is correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables. For example, if the older a child is, the longer he would stay at the pool. it can be said that there is a positive correlation.
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If a fair die is rolled 5 times, what is the probability, rounded to the nearest
thousandth,
of getting at most 2 threes?
Answer:
0.965 to the nearest thousand.
Step-by-step explanation:
This is a binomial probability distribution.
Prob(getting no 3's) = (5/6)^5 = 0.4019
Prob(getting 1 * 3 ) = 5C1(1/6)(5/6)^4 = 0.4019
Prob (getting 2 3's ) = 5C2(1/6)^2(5/6)^3 = 0.1608
So required probability = 2 * 0.4019 + 0.1608
= 0.9646
What is the next step?
Answer: Subtract
Step-by-step explanation: Subtract 237 from 224.
Answer:
74. 25
Step-by-step explanation:
After dropping the 224 you're going to subtract it from 237 which equals 13. With that said, you're going to bring down the 6. From there, it would be 136 divided by 32 which is 4.25. So you're answer is 74 with a remainder of 25.
Please help, image below. Thank you!
A radius extends from the center of the circle to the edge.
If J is the center of the circle, then possible radii are JK, JL, JM, and JN.
Of those options, JN is the only one listed as an answer choice.
Answer: Third option, JN
Hope this helps!
Divide the number 1080 into two parts with a ratio of 4: 1.
Answer: It breaks up into 864+216
Reason:
x = some positive real number
The ratio 4:1 scales up to 4x:1x, so we have two parts one is 4x and the other is 1x. Those two parts add up to 1080
4x+1x = 1080
5x = 1080
x = 1080/5
x = 216
We can then find 4x = 4*216 = 864
As a check: 864+216 = 1080, so the answer is confirmed.
A square has an area of 121 square centimetres.
What is its perimeter?
Answer:
44 cm
Step-by-step explanation:
The area of a square is the square of the side length. This means the side length is the square root of the area.
s = √A = √(121 cm²) = 11 cm
The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:
P = 4s = 4(11 cm)
P = 44 cm
The perimeter of the square is 44 cm.
Answer:
44 cm
Step-by-step explanation:
Finding Side Length
Area = (Side length)²Take the square root on each sideSide length = √121Side length = 11 cmPerimeter
A square has 4 sidesTherefore, the perimeter is 4 times the side length4 × 1144 cmIs y=cos(x)/x an odd function, even function, or neither
The provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
[tex]\rm y = \dfrac{cos(x)}{x}[/tex]
From the definition of the even and odd function:
If f(-x) = f(x) then it is an even function
If f(-x) = -f(x) then it is an odd function
[tex]\rm y(-1) = \dfrac{cos(-x)}{-x}[/tex]
[tex]\rm y(-1) = -\dfrac{cos(x)}{x}[/tex]
cos(-x) = cosx
Thus, the provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
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PLEASE I BEG OF YOU HELP ME
equation for parallel and perpendicular
Answer:
Parellel: y=-2x+17
Perpendicular: y=2x-3
Step-by-step explanation:
Hope this helps! ;-)
Karissa liked to measure the snowpack at her house. On Tuesday, the snowpack was 6 inches deep. On Wednesday, 2 inches had melted. How
much snowpack was left?
PLS HELPPPPPP!!!!!!
The functions graphed shows the distances, in miles, for two drivers x hours after driving.
Select ALL correct statements about the graph.
Question 5 options:
The intersection (1, 60) indicates the time in hours when Celia and Tayvin are traveling at the same speed.
Celia drove at a faster rate than Tayvin.
Tayvin drove at a faster rate than Celia.
The intersection (1, 60) indicates the time in hours when Celia and Tayvin are the same distance from the city.
Answer:
selection 1 ,2
Step-by-step explanation:
Celia. 60km/hr
Tayvin. 50km/hr
GIVING BRAINLIEST
Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
A. 0
B. 1
C. 2
D. 4
E. infinitely many
Answer:
Hey!
Your Answer Would Be Option E!
Infinitely Many.
This Is Because:
Each and every one of the four angles/rectangles measures is 90°. Therefore, the number of rectangles that can be constructed using this condition is infinite!
Step-by-step explanation:
pls, help! and explain
Answer:
I can't seem to work out the other two, sorry
Step-by-step explanation:
1. -> c. because there are 10 letters in total and there are 4 vowels, so it would be 4/10, then we'd simplify by 2, and I gives us 2/5
4. -> g. because there are 10 letters so it's 10/10 which gives us 1
Answer:
CEFG
Step-by-step explanation:
1. P = 4/10 = 2/5
2. P= (4/10)(4/10)=16/100=4/25
3. P= (4/10)(3/9) = 12/90 = 2/15
4. P = 12/12 = 1
Hope this helps
PLEASE HELP quick
………
Answer:
50
Step-by-step explanation:
1/2 x base x height
In this problem: (It's times 2 because I split it up into 2 triangles.)
1/2 x 10 x 5 x 2 =
50
hope this helps
have a good day
Please help with does 3 questions am trying to get my grade up
Y=x^2 – 4x + 5 vertex form please
Answer:
Step-by-step explanation:
Which one geos first to last 3/4 or 1/3 or 5/8
Find the volume of the rectangular prism pictured below if LM = 25 in, LO = 28 in, and
PR = 9 in, and OR = 3 in.
P
R
M
62 in
6300 in?
248 in
3
o 2354 in
3
Answer:
B. 6300
Step-by-step explanation:
A group of 18 students began raising money for a new community park. If each student reaches the goal of $980, how much will the
group raise toward the park project?
A $17,670
B $17.640
C $17,630 D$17,740
Select all the correct measures of center and variation for the following data set.
10, 20, 31, 17, 18, 5, 22, 25, 14, 43
First quartile = 12
IQR = 11
Median = 19
Third quartile = 25
MAD = 7
Answer:
Median = 19
IQR = 11
Third quartile = 25
Step-by-step explanation:
Just caculate it...
what is the name of the first female mathematician?
Answer:
Hypatia was the first female mathmatican
Answer:
Hypatia, (born c. 355 ce—died March 415, Alexandria), mathematician, astronomer, and philosopher who lived in a very turbulent era in Alexandria's history. She is the earliest female mathematician of whose life and work reasonably detailed knowledge exists.
Step-by-step explanation:
x + y = 24
5y = x
The solution to the given system of equations is (x,y). What is the value of y?
Answer:
The value of y is 4.
Step-by-step explanation:
Note the system of equation:
x + y = 24
5y = x
First, plug in 5y for x in the first equation:
x + y = 24
(5y) + y = 24
Simplify. Combine like terms. Like terms are terms that have the same amount of the same variable:
(5y + y) = 24
(6y) = 24
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides of the equation:
(6y)/6 = (24)/6
y = 24/6 = 4
Now, plug in 4 for y in one of the given equations in the system of equation:
x + y = 24
x + (4) = 24
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides of the answer:
x + 4 = 24
x + 4 (-4) = 24 (-4)
x = 24 - 4
x = 20
x = 20 , y = 4
~
Check. Use the other equation. Plug in 4 for y, and 20 for x:
5y = x
5(4) = (20)
5 * 4 = 20
20 = 20 (True)
~
The value of y is 4.
3/4 : 6/x = 3/8 : 4/5 : 6/7
The value of x will be equal to 3 for the given expression.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given expression is solved as:-
[tex]\dfrac{\dfrac{3}{4} }{\dfrac{6}{x}} = \dfrac{3}{8}[/tex]
[tex]\dfrac{3}{4}\times \dfrac{x}{6}=\dfrac{3}{8}[/tex]
[tex]\dfrac{x}{8}=\dfrac{3}{8}[/tex]
x = 3
The value of x will be equal to 3 for the given expression.
Therefore the value of x will be equal to 3 for the given expression.
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