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
Determine which of the following terms are not considered to be like terms with the expression -6s2t. Select all situations that apply.
( s2)( t)
10 ∙ s2 ∙ t
4( s ∙ t)
-6( s2 + t)
s2t
s2 ∙ t2
Answers
Answer:
[tex]4(s.t)[/tex]
[tex]-6(s^2+t)[/tex]
[tex]s^2.t^2[/tex]
Step-by-step explanation:
Like Terms
To be considered similar or like terms, two or more terms must have the exact same variables with the exact same exponents, regardless of the coefficients. For example, the following are like terms:
[tex]x, 5x, -3x, 2/5x[/tex]
[tex]3ab^2, -1/2ab^2, 7b^2a[/tex]
The following are not like terms:
[tex]x, 3y, -x^3[/tex]
[tex]pq^3, p^3q^3, -p^3q[/tex]
We need to find which of the given terms are not considered to be like terms with the expression [tex]-6s^2t[/tex]. The variable s must be squared and the variable t must have an exponent of 1.
Applying the above definition, the following expressions are not like terms:
[tex]4(s.t)[/tex]
[tex]-6(s^2+t)[/tex]
[tex]s^2.t^2[/tex]
Answer:
s^2 X t^2
4(s x t)
-6(s^2+t)
CAN YOU PLease
GIVE ME A BRIANLIST
Step-by-step explanation:
Graph y + 2 = -1(x + 3).
Answers
you should use desmos
Answer: y= -10x - 10
Step by step explanation: All you need to do is distrubute then solve for y and then graph, and that is all you need to do, you can do this on Desmos
y^2-y-42
pls helpppppp i dunno how to do this one??
Answers
Hopefully this is right :)
Heber pays $40 each month to stream Disney+ on one device.
To stream Disney+ on multiple devices Heber must pay an additional $15 per device.
If for one month, Heber's bill was $115, on how many additional devices did Heber stream Disney+?
hurry plz
Answers
Answer:
5
Step-by-step explanation:
take your price and subtract the monthly price
115-40=75
now you have the price of all your extra devices summed up
75÷15=5 extra devices
In this question use
1 cubic foot = 6.23 gallons
1 cubic foot = 0.028 cubic metres
Convert 3738 gallons into cubic metres.
Answers
Answer:
16.8 cubic metres
Step-by-step explanation:
Given: 1 cubic foot = 6.23 gallons
1 cubic foot = 0.028 cubic metres
Let the conversion into cubic metres be represented by x.
Thus we can say that;
6.23 gallons = 0.028 cubic metres
and
3738 gallons = x cubic metres
So that,
x = [tex]\frac{3738*0.028}{6.23}[/tex]
= 16.8
x = 16.8 cubic metres
The conversion of 3738 gallons into cubic metres is 16.8 cubic metres.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proof.
Given: AB is diameter of circle O.
AC and BD are tangents
Prove: AC parallel to BD.
Answers
Answer:
The statements are in regular print, the reasons are bolded
Step-by-step explanation:
1st:AB is the diameter of circle o. Both 1 and 2 are Given
2nd: AC and BD are tangents.
3rd:Ab is perpendicular to AC , AB is perpendicular to BD. Radius is perpendicular to tangent
4th: AC is parallel to BD Lines parallel to same line are congruent.
Answer the eqation
6h=-24
Answers
Answer:
h=-4
Step-by-step explanation:
6 times -4 is -24
helloo
============================
Answer:
-4
Step-by-step explanation:
6h= -24
h = -24/6
h = -4
hope this helps
please mark it as a brainiest
What is the scale factor?
please help!
Answers
Answers:
Scale factor = 5/3 (which is approximately equal to 1.67)x = 10========================================
Work Shown:
To find the scale factor, we divide a side of triangle MNO over a corresponding side of triangle FGH. We can only pick the horizontal bottom sides since we don't know what x is yet.
scale factor = ON/HG = 15/9 = (5*3)/(3*3) = 5/3
In decimal form, this is approximately 5/3 = 1.67; however, I find it's better to stick with the fraction since it's exact.
---------------
Let's solve for x
One way to do so is to follow these steps
(FG)/(MN) = (HG)/(ON)
6/x = 9/15
6*15 = x*9 ..... cross multiply
90 = 9x
9x = 90
x = 90/9
x = 10
Or we could solve like this
(FG)/(HG) = (MN)/(ON)
6/9 = x/15
6*15 = 9x
90 = 9x
9x = 90
x = 90/9
x = 10
We end up with the same result because we got to 90 = 9x after cross multiplying, which was found in the previous set of steps as well. There are other ways to solve using a proportion. But they should all lead to x = 10.
Note how,
MN/FG = 10/6 = (5*2)/(3*2) = 5/3
which was the scale factor we found earlier
5/3 is going to be your answer.
cindy claims that 4^x/12^x=1/3
Answers
Which number line shows the solution of -3x+6>12?
Answers
Answer:
when I solve the equation of -3×+6>12
-3×>12-6...........subtract 6 from both side
-3×>6................simplify
-3×/-3 <6/-3......when we divide or multiple by negative number the sign will be in opposite direction
×<-2 ...........× is solved
s.s( solution set ) ={x<-2 like -3,-4,-5 infinity }
Step-by-step explanation:
i hope it is help full
Regular pentagon MNQR similar to pentagon TUVWX. What scale factor was used dilate regular pentagon MNPQR to Pentagon TUVWX?
Answers
Answer:
. Since the pentagon is a regular pentagon, the measure of each interior angle will be the same.
To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon.
(which is the same as the number of sides).
540° ÷ 5 = 108° There are 108° in each interior angle of a regular pentagon.
2. 540°
Sum of Interior Angles of a Polygon
A pentagon has five sides, thus the interior angles add up to 540°, and so on.
Step-by-step explanation:
.........
Savings account A has $500 and pays 4% interest yearly. Savings account B has $600
and pays 2.5% interest yearly. The savings account that earned the most interest after
one year is savings account
Answer here
SUBMIT
Answers
A is the answer
Answer:
its $520
Step-by-step explanation:
First to completly answer will be marked brainliest if you give a random answer just to get points you will be reported
Answers
Answer:
Pi: Irrational
2/9: Rational
225: Rational
0.167: Irrational <--- fourth one
Step-by-step explanation:
Not sure about the 4th one, but the others are good :)
What is the slope of y=-1+3x
Answers
Answer:
That is the format for a slope so you already have it but its incorrect
Step-by-step explanation:
Slope format is y=mx+b
Your x shouldnt be next to the 3
This question isnt accurate or your missing information
====================================================
Explanation:
Because we can add two numbers in any order, the equation y = -1+3x is the same as y = 3x+(-1).
Compare this to y = mx+b, which is slope intercept form.
We see that m = 3 is the slope and b = -1 is the y intercept.
Please help me solve this
(8+3a)(8−3a)=
Answers
Answer:
-9a^2+64
Step-by-step explanation:
The table shows a bicycle rider moving at a constant rate of speed.
Answers
______________________________
1.) Dependent Variable:A dependent variable is almost always the [tex](y)[/tex] variable. This also means it depends on another variable. The way you can tell it's dependent for this problem is that the per the rule: distance = time. This means that the distance changes based on the time. [tex](y)[/tex] depends on [tex](x)[/tex]So your answer is Distance.
______________________________
What is the solution for xsquared= 64
A. Positive or r 4
B. 4
C. Positive or negative 8
D. 8
Answers
Answer:
64 rooted is D. 8
3 of 5
The ratio of boys to girls in a class is 4:3. There are 35
students in the class. How many more boys than girls are
there?
Answers
to find boys 4/7 * 35 = 20
to find girls 3/7 * 35 = 15
Solve for the roots in simplest form using the quadratic formula:
x2 – 14x = -33
Answers
Answer:
i think its x = 11 , 3
Step-by-step explanation:
Help me in number 10 please 6 points!!!!
Answers
Answer:
answer is 8.5
Step-by-step explanation:
Two airplanes leave an airport at the same time on different runways. One flies on a bearing of N 66°W at 325 miles per hour. The other airplane flies on a bearing of S 26°W at 300 miles per hour. How far apart will the airplanes be after two hours
Answers
If correct, can you mark as brainliest?
After solving the equations, the distance between two airplanes after two hours will be equal to 861.21 miles.
What is Speed?The speed of an entity, which is a scalar quantity in regular usage and kinematics, can be defined as the size of the change in direction per unit of time or the size of the change in position over time for an object. The initial speed is the upper limit of maximum pace as the duration of a time interval gets closer to zero.
Assume that both the planes are on similar point A at the start.
Assume that x is the 325 mph flying object.
Consequently, it would have traveled a distance of after two hours of 325 × 2 = 650 miles.
Let B represent the location of the plane two hours later.
That means AB = 650 miles
Assume that y is the 300 mph flying object.
It would have traveled a distance of two hours = 300×2=600 miles.
After two hours, let C represent the location of the second plane.
This means AC=600 miles
After two hours, BC separates the two aircraft.
So, the angle between their paths is 87°.
Cos A = (AC² + AB² - AC²)/(2(AC)(AB))
cos 87 = (600² - 650² - AC²)/(2 × 600 × 500)
40822.04 = 782500 - AC²
AC² = 782500 - 4082204
AC = 861.21 miles.
To know more about Speed:
https://brainly.com/question/28224010
#SPJ2
The principal. Ms kennedy and the chairman were at the meeting how many persons were at the meeting
Answers
Answer:
It seems to be 2
Step-by-step explanation:
man is singular s Ms Kennedy is one person
Answer:
i think that would be 4
Step-by-step explanation:
because two other random people showed up
what is the slope between point B and point C
Answers
Answer: 4/3
Step-by-step explanation:
Slope is ratio of change in y with the change in x. From points C-->B, the change in y is 4. The change in x is 3. Therefore, the slope is 4/3
In the figure, BC is a support for the roof
of a garage. What is the length of BC?
Answers
Answer:
Bc = √63 ft
Step-by-step explanation:
Here, we want to get the length of BC
As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side
So we want to get the third leg which is BC
we can use the Pythagoras’ theorem here
And that states that the square of the hypotenuse equals the sum of the squares of the two other sides
let the missing length be x
12^2 = x^2 + 9^2
144 = x^2 + 81
x^2 = 144-81
x^2 = 63
x = √63 ft
PLEASE HELP ASAP. What rule do you think is used at the pizza store to decide the final cost of pies?
Total cost in
Number of
pies
dollars
1
13
2
23
3
33
5
53
Answers
Answer:
13 dollars for the first 10 for each additional one ( i think)
Step-by-step explanation:
Answer:
the answer is it is $10 for each one with an additional cost as $3 at the end
I will give brainliest. Please help fast! (Solve for number 5)
Answers
Answer:
the area of the parallelogram is 120 units
An expression is shown.
10/3 ÷ 4
What is the value of the expression?
Answers
Steps are on paper. If need more explanation, comment
Write the slope-intercept form equation of a line that goes through the point (4, -4) and is parallel to y = -7x + 5.
Answers
Answer:
y=7x-32
Step-by-step explanation:
Since the line is parallel to y=-7x+5, it will have the same slope
use the slope-intercept form to find b, y=7x+b
plug the points into the equation
(-4)=7(4)+b
simplify
-4=28+b
subtract 28 from both sides
b= -32
plug b into the equation
y=7x-32
What does -2 - 10 equal to?
Answers
A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1.50 per slice of pizza. Shandra purchased a membership to this pizza shop. How much would Shandra have to pay the pizza shop if she bought 5 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Answers
Answer: $7.50
Step-by-step explanation:
1.50 x 5 = 7.50
She would pay 1.50 for the monthly cost of a slice of pizza