Answers
Answer:
The scale Myra should use is one graph unit = 400 km or;
←--→ = 400 km
Step-by-step explanation:
The question relates to the representation of scale drawing
The actual distance between Perth and Sydney = 3294 kilometers
The given coordinates of Perth on the grid = (1.3, 3.4)
The given coordinates of Sydney on the grid = (9.2, 3.3)
The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;
[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]
Therefore, by substitution, we have;
[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]
d ≈ 7.9 units
Therefore, we have;
7.9 units of the graph = 3294 kilometers
1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km
Therefore, the scale Myra should use for her map is 1 unit = 400 km.
Related Questions
Given that is the midpoint of AB and E is the midpoint of AC, AD =32cm, AE=19cm, and DE=39cm, determine the perimeter of DBCE
Answers
Answer:
since triangle AED similar to ACB
CE=19cm mid point bisect it
BD=32Cm mid point bisect it
Step-by-step explanation:
BC=2DE=2×39=78Cm
perimeter=sum of all side=ce+de+bd+bc=19+39+32+78=168cmtherefore perimeter of DBCE=168CmWrite a polynomial in standard form that represents the area of the shaded region.
Answers
Answer:
[tex]A=p^2-2p-3[/tex]
Step-by-step explanation:
The area for a triangle is given by:
[tex]\displaystyle A=\frac{1}{2}bh[/tex]
The base is p + 1 and the height is 2p - 6. Therefore:
[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]
Simplify the second term:
[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]
Distribute:
[tex]A=p(p-3)+1(p-3)[/tex]
Distribute:
[tex]A=p^2-3p+p-3[/tex]
Combine like terms:
[tex]A=p^2-2p-3[/tex]
Find 39.5% of 373. Round to the nearest hundredth
Answers
39.5% of 373. is 147.336
write an equation for the line (1,2) and (3,-4)
Answers
Answer:
y=-3x+5
Step-by-step explanation:
If this helped you please rate this comment, give it a like, and maybe mark it as branliest!
-2y+6=-12
What does y equal?
Answers
Answer:
y = 9
Step-by-step explanation:
-2y+6=-12
subtract 6 on both sides: -2y=-18
divide both sides by -2: y=9
Answer:
[tex]y = 9[/tex]
Step-by-step explanation:
1) Subtract 6 from both sides.
[tex] - 2y = - 12 - 6[/tex]
2) Simplify -12-6 to -18.
[tex] - 2y = - 18[/tex]
3) Divide both sides by -2.
[tex]y = \frac{ - 18}{ - 2} [/tex]
4) Two negative makes a positive.
[tex]y = \frac{18}{2} [/tex]
5) Simplify 18/2 to 9.
[tex]y = 9[/tex]
So, Yherefor, the answer is, y = 9.
6. Find the measure of each
marked angle.
Answers
10x - 20 = 7x + 4
Move the terms
3x = 24
x= 8
Sub back in to find the value:
80 - 20 = 60
56 + 4 = 60
Please mark as brainliest
The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.
The angles are given as:
∠1 = 10x-20 and ∠2 = 7x+4
As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.
By alternate exterior angles, it can be written as:
∠1 = ∠2
10x-20 = 7x+4
10x -7x = 4 + 20
3x = 24
x = 24/3
x = 3
From given angles:
80 - 20 = 60
56 + 4 = 60
Thus, the measure of each marked angle is 60 degrees.
Learn more about alternate exterior angles here:
https://brainly.com/question/23134598
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Find the total surface area of a cylinder whose diameter is 28 cm and height is 11 cm.
Answers
Answer:
2199.11 (with pi)
2198 (with 3.14)
Step-by-step explanation:
A=2πrh+2πr²
A=2π(14)(11)+2π(14)²
A=2π(154)+2π(196)
A=2(483.56)+2(615.44)
A=967.12+1230.88
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Evaluate the expression 9.3^1
Answers
Answer:
9.3
Step-by-step explanation:
The value of w and what mistake was made
Answers
Answer:
w=95
Step-by-step explanation:
Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
what is his commission?
Answers
Answer:
$4,675
Step-by-step explanation:
The commission is 5.5% of $85,000.
5.5% * $85,000 =
= 0.055 * $85,000
= $4,675
Answer:
$4675
Step-by-step explanation:
85,000 x .055 = 4,675
Hope that helps!
what does 3(y + 4) = 3y + 12 equal?
Answers
Answer:
15y
Step-by-step explanation:
If you add 3 and 12 together you get 15 and when you get 15 you add in the y
Answer:
Y= - 4/3x + 4
Hope this helps :))
Christina is having a Super Bowl party with 7 of her celebrity friends. Kobe lives 32 miles from Christina. Will Smith has to drive 32 miles to get to Christina’s. Kim Kardashian will drive 15 miles to get there. Wiz Khalifa is going to ride his bike 2 miles to get there. Andre 3000 is going to run 3 miles to get to Christina’s, and Lebron lives 32 miles from Christina’s house as well. Cardi B lives 45 miles from Christina. What is the median, mode, and mean of distance that they can travel? Complete the table below.
Answers
Answer:
Median: 32
Mode: 32
Mean of Distance: 22.60
Step-by-step explanation:
2, 3, 12, 32, 32, 32, 45
kobe 32 miles away
will smith 32 miles away
kim 12 miles away
wiz 2 miles away
andre 3 miles
lebron 32 miles
cardi b 45 miles
HELP ASAP ASAP ASAP ASAP PLS HELP HELP
Answers
Answer:
i hope my answer help you
Step-by-step explanation:
1st=8+4=12
2nd the answer is to the nearest 7.06
3rd =2+2³.7=2+13=15
4th=(36÷(4+5))+25=36÷9+25=4+25=29
5th=16÷16+8-3=1+8-3=9-3=6
6th=8-2.4=5.6
15 out of 60 markers are blue. What percent of the markers are blue?
How will we solve this problem?
Answers
Answer:
Step-by-step explanation:
if 15 out of 60 markers are blue
the percentage is 15/60=1/4
0.25*100=25%
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?
Answers
Answer:
Kitten is 15 seconds and dog is 10 seconds
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
What is concept of Work and time?
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time
Given-Puppy and kitten eats one sausage combined in 6 sec.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.
Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.
As Puppy and kitten eats one sausage combined in 6 sec.Thus,
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]
Let above equation is equation one.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus
[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]
Put this value of [tex]x[/tex] in the the equation one to get the value of y. Therefore,
[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]
[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]
[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]
[tex]y=15[/tex]
Thus the kitten eats a sausage in 15 seconds.
Put the value of y in equation one. thus,
[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]
[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]
[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]
[tex]x=10[/tex]
Thus the puppy eats a sausage in 10 seconds.
Hence the kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
Learn more about the work and time here,
https://brainly.com/question/8536605
Which graph shows a proportional relationship?
Answers
There is a linear relationship between the variables x and y. And the line that passes through the origin. Then the correct option is C.
What are ratios and proportions?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
Let the two variables x and y.
Where x is an independent variable and y is the dependent variable that depends on x directly. Then we have
The variable y is directly proportional to the variable x.
y ∝ x
When the proportionality sign is removed a constant k comes into the equation. That is given as
y = kx
There is a linear relationship between the variables x and y.
And the line that passes through the origin.
The graph is shown below.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)
Answers
Answer:
Height x=2
Step-by-step explanation:
area of top & bottom:
(5)(4)(2)=40
area of 2 sides:
(x)(5)(2)=?
area of the other two sides:
(x)(4)(2)=?
total area=76
76=40+10x+8x
simplify:
36=18x
x=2
Function or not a function?
Answers
yo no se ok yo no se solamente qiero puntos
Anna is 11 5/6 years old. Morgan is 1 1/3 years older than Anna and Jane is 1 1/4 years older than Morgan. How old is Jane?
Answers
Answer:
18
Step-by-step explanation:
allel...
10. If the midpoints of the sides of AEFG shown below were connected with line segments, what would be the
perimeter of the resulting triangle? Explain how you arrived at your answer.
allel...
E
arall...
of a T...
170 mm
83 mm
110 mm
Answers
Answer:
Perimeter of triangle PQR = 181.5 mm
Step-by-step explanation:
Midsegment theorem states that,
"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"
From the figure attached,
PQ = [tex]\frac{1}{2}(EF)[/tex]
= [tex]\frac{83}{2}[/tex]
= 41.5 mm
PR = [tex]\frac{1}{2}(GF)[/tex]
= [tex]\frac{110}{2}[/tex]
= 55 mm
QR = [tex]\frac{1}{2}(GE)[/tex]
= [tex]\frac{170}{2}[/tex]
= 85 mm
Perimeter of triangle PQR = PQ + QR + PR
= 41.5 + 55 + 85
= 181.5 mm
The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.
Answers
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
How do you do 20/4 divided by 8/9 and put it in simplest form?
Answers
Answer:
45/8, or 5.625
Step-by-step explanation:
20/4 is simplified to 5/1.
5/1 divided by 8/9
5/1 * 9/8
45/8
simplified to 5.625
Answer:
45/8 or 5 5/6.
Step-by-step explanation:
20/4 / 8/9 We invert the second fraction and multiply:
= 20/4 * 9/8
= 180 / 32
= 45/8
= 5 5/8.
Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Tamia watch at
Answers
Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
Step-by-step explanation:
Let x = part of movie watched at night.
Given : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.
Part left to watch = [tex]\dfrac13[/tex]
As per given, we have
[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]
Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
If rectangle LMNO were rotated 180° clockwise about the origin to create rectangle L'M'N'O', what would the measure of angle O' be?
Answers
9514 1404 393
Answer:
90°
Step-by-step explanation:
Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.
_____
Additional comment
No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.
Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?
Answers
Answer:
Survey 100 residents who have pets completely randomly
Step-by-step explanation:
The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.
each side of a triangle is nine inches long. find the perimeter
Answers
The triangle in which the side are nine inches long has a perimeter of 27 inches.
Perimeter of a triangle
The perimeter of a triangle is the sum of the length of the whole side.
The triangle have three sides and the perimeter is the sum of the whole sides.
According to the question, the triangle has the whole sides as 9 inches.
This means the triangle is an equilateral triangle.
Therefore,
length of side = 9 inches
perimeter = 9 + 9 + 9
perimeter = 27 inches
learn more on triangle here:https://brainly.com/question/19976393
Find m<YQR pls need grade gud.
Answers
Answer:
21°
Step-by-step explanation:
We can prove these two triangles congruent by the HL (Hypotenuse-Leg) theorem. Then, we know that m<YQR is congruent to m<PQY. We can then use their given values to form an equation.
5x+6=16x-27
Continue to solve . . .
33 = 11x
x=3
Therefore, we can plug this value of 3 into the expression for the value of m<YQR, and you will get
(16 x 3) - 27, which is equal to 21°.
which of the following statements are true?
Answers
Answer:
A. C.
Step-by-step explanation:
PLZ PLZ PLZ help 50 points
Answers
Answer:
i think im to late sorry
Step-by-step explanation: