The scale of a map exists 1: 250000 the actual distance between two cities exists 80km then the two cities exists 72 cm apart on the map.
How to estimate the actual distance?Given that the representative fraction exists 1/250000.
We know that the representative fraction exists the ratio of map distance to the corresponding ground distance exists independent of units of measurement.
This implies that 1 cm on the map exists actually 250000 cm distance.
We will convert this 250000 cm into m as 1 m = 100 cm.
[tex]\[250000 \times \dfrac{1}{{100}}[/tex] m = 2500 m
To convert this into km as 1 km = 1000 m.
[tex]\[2500 \times \dfrac{1}{{1000}}[/tex] km = 2.5 km
So, 1 cm on the map exists 2.5 km actual distance.
To find the distance on the map corresponding to 180 km on ground.
[tex]\dfrac{{180}}{{2.5}}[/tex] cm = [tex]$\frac{{1800}}{{25}}[/tex] cm = 72 cm
Therefore, the two cities exists 72 cm apart on the map.
We exists supposed to scale the representative fraction properly to avoid any miscalculation. Also, we will take care of the scales properly i.e. kilometers, meters and centimeters.
The complete question is:
The scale of a map is 1: 250 000.
(a) The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimeters.
(b) On the map a large forest has an area of 6 cm?
Calculate the actual area of the forest. Give your answer in Square kilometres.
To learn more about actual distance refer to:
https://brainly.com/question/20333247
#SPJ13
If x=-9 and y=3
evaluate the following expression:
2(y-3xy)
Answer:
168
Step-by-step explanation:
= 2[3-{3(-9)(3)}]
= 2[3-{-81}]
= 2(84)
= 168
Hope it helps!!
BTW it was very easy...
Evaluate the equation
ƒ (n) = −n
ƒ (−6) =
Answer:
6
Step-by-step explanation:
If f(n) is f(-6), that means you need to input -6 in any places that have n in them.
f(-6) = --6
Two negatives make a positive.
f(-6) = 6
Hope this helps! :)
Hello!
To find the value of f(-6)
==> must plug '-6' into n's position in the equation
f(-6) = -(-6) = 6
Hope that helps!
you have a rectangular plot measuring 16 by 25 feet in a community garden. you want to grow tomato plants that each need 8 square feet of space and pepper plants that need 5 square feet. write an equation that models how many tomato plants and how many pepper plants you can grow
Considering a rectangular plot measuring 16 by 25 feet in a community garden the equation that models the the number of tomato plant and the number of pepper plant is 8x + 5y = 400
How to write the model of number of tomato plant and pepper plantgiven data
a rectangular plot measuring 16 by 25 feet
area to grow tomato plants = 8 square feet
area to grow pepper plants = 5 square feet
From the given data the total area is
Area = 16 * 25
Area = 400 square feet
let the number of area required by tomato plant be x and the area required by pepper plant be y
The equation that models how many tomato plants and how many pepper plants you can grow can be written as
8x + 5y = 400
Read more on modelling equation here: https://brainly.com/question/28001688
#SPJ1
First person to respond gets brainliest
ANSWER : 4x-3y
EXPLANATION:
What is the solution of the system of equations? 3x+4y=12 2x+y=10
y=10-2x..(3)
[tex]3x+4(10-2x)=12\\\\3x+40-8x=12\\3x-8x=12-40\\-5x=-28\\\frac{-5x}{-5} =\frac{-28}{-5} \\x=\frac{28}{5}[/tex]
[tex]y=10-2(\frac{28}{5} )\\y=10-\frac{56}{5} \\y=-\frac{6}{5}[/tex]
solve for y 3y=78 Simplify your answer as much as possible.
Answer:
y=26
Step-by-step explanation:
3y=78
3 x 26 = 78
y = 26
Choose by clicking the graph. Find <0 if sec0= -13/5 and tan0 is negative
Using the definition of the secant, the angle is given as follows:
θ = 112.6º.
How to calculate the secant of an angle?The secant of an angle θ is given by one divided by the cosine of the angle θ, that is:
sec(θ) = 1/cos(θ).
In the context of this problem, the numeric value of the secant of the angle is given as follows:
sec(θ) = -13/5.
This means that the following relation can be established:
1/cos(θ) = -13/5.
Hence we can solve to find the angle measure as follows, applying cross multiplication:
-13cos(θ) = 5
cos(θ) = -5/13.
Applying the inverse cosine, we have that:
θ = arccos(-5/13).
θ = 112.6º.
This angle has equivalent on other quadrants, as for example, in the third quadrant the cosine is also negative. However, in the third quadrant, the tangent is positive and we want a negative tangent, which is why the measure is of θ = 112.6º.
More can be learned about the secant of an angle at https://brainly.com/question/25871159
#SPJ1
how do I set this up and how do I know what am I looking for
We have to calculate the number of seconds for the flare to return to the sea.
We have an initial vertical speed of 448 ft/s.
The only force acting on the flare is gravity.
Then, we can model the heigth in function of time using the equation:
[tex]h(t)=h_0+v_yt-\frac{g}{2}t^2[/tex]where h0 = 0 ft, vy = 448 ft/s and g = 32 ft/s².
Then, we can replace and calculate t for h(t) = 0, that is the time it took the flare to come back to the initial height (that is 0 ft):
[tex]\begin{gathered} h(t)=0 \\ h_0+v_yt-\frac{g}{2}t^2=0 \\ 0+448t-\frac{32}{2}t^2=0 \\ 448t=16t^2 \\ 448=16t \\ t=\frac{448}{16} \\ t=28 \end{gathered}[/tex]Answer: it will take 28 seconds for the flare to return to the sea [Third option].
What is 34% of 50 please help
Answer: 17
Step-by-step explanation: 34x50/100 = 17
Answer:
17
Step-by-step explanation:
you type on your calculater
34 divided by 100 multiply by 50
then that will equivalate to 17
Please help due tonight.
Answer:
A
Step-by-step explanation:
50 POINTSSS! PLEASE HELP ONLY ONE MATH PROBLEMM! I WILL ALSO GIVE BRAINLIEST
Answer:
the discrete and cont is 2-4 or 3-4
domain should be 3
range thats ezzzzz thats 3,4
function, umm bud your on your own for that :D
Step-by-step explanation:
ha bet u u cant ok do it
We can simplify the mathematical expression to get:
[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} } = 4*\sqrt{2/11}[/tex]
How to simplify the given expression?Here we have the mathematical expression:
[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} }[/tex]
Remember the rule:
[tex](a + b)*(a - b) = a^2 + b^2[/tex]
Then the numerator can be rewritten as:
[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} } = \frac{5^2 - \sqrt{3}^2 }{\sqrt{22} } = \frac{25 - 9}{\sqrt{22} } = \frac{16}{\sqrt{22} }[/tex]
notice that 16*16 = 256 then we can rewrite:
[tex]\frac{16}{\sqrt{22} } = \sqrt{\frac{256}{22} } = \sqrt{\frac{128}{11} } = \sqrt{\frac{4*4*2}{11} }= 4*\sqrt{2/11}[/tex]
That is the expression simplified.
Learn more about mathematical expressions:
https://brainly.com/question/4344214
#SPJ1
Please help, htis has a time limit
Answer:
Domain: All real numbers
Range: f(x) ≥ 5 or f(x) < 2
Step-by-step explanation:
The given graph is a graph of a piecewise function.
Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.
When graphing piecewise functions:
An open circle is used where the value is not included in the interval.A closed circle is used where the value is included in the interval.An arrow is used to show that the function continues indefinitely.Domain
The domain of a function is the set of all possible input values (x-values).
From inspection of the graph, the arrows show that the function continues indefinitely in both the positive and negative directions.
The value of x = 1 is not included in the left part of the graph, but it is included in the right part of the graph.
Therefore, the domain of the function is all real values of x:
(-∞, ∞)Range
The range of a function is the set of all possible output values (y-values).
From inspection of the graph, there is an open circle at y = 2 and a closed circle at y = 5. Therefore, there are no y-values in the interval:
2 ≤ y < 5.
Therefore, the range of the function is f(x) < 2 or f(x) ≥ 5:
(-∞, 2) ∪ [5, ∞)A skydiver is planning her jump out of an airplane. Typically, she will jump at a height
of 13,500 feet and she will pull the cord when she is 5000 feet above the ground. If the
equation for distance traveled during freefall is given as d(t) = 16t², how long should
she wait before pulling the cord?
If she will jump at a height of 13500 feet and she will pull the cord when she is 5000 feet above the ground, the equation for distance traveled during freefall is d(t)= [tex]16t^{2}[/tex], then she has to wait 23.05 seconds to pull the cord
The initial height = 13500 feet
The height at which she has to pull the cord = 5000 feet above the ground
The distance traveled to reach 5000 feet above the ground = 13500-5000
= 8500 feet
The equation for the distance traveled during the freefall d(t)= [tex]16t^{2}[/tex]
where d is the distance traveled
t is the time taken
Substitute the values in the equation
8500 = 16 × [tex]t^{2}[/tex]
[tex]t^{2}[/tex] = 8500/16
[tex]t^{2}[/tex] = 531.25
t = [tex]\sqrt{531.25}[/tex]
t = 23.05 seconds
Hence, If she will jump at a height of 13500 feet and she will pull the cord when she is 5000 feet above the ground, the equation for distance traveled during freefall is d(t)= [tex]16t^{2}[/tex], then she has to wait 23.05 seconds to pull the cord
Learn more about distance traveled here
brainly.com/question/2161522
#SPJ1
4 765 173
Round the number to the nearest 1000
Answer:
4765000
Step-by-step explanation:
Turn 19/20 into a terminating decimal... PLEASE SHOW WORK EXTRA EXTRAAA POINTS FOR A CORRECT ANSWER WITH SHOWED WORK
Answer:
0.95
Step-by-step explanation:
19/20
19÷2/20÷2
9.5/10
0.95
What are the like terms of 1.4y+5−4.2−5y2+z
Answer:
Step-by-step explanation:
If a scale of a map is 1:10000 what will be the length on this map of a road which is 5 km long?
Step-by-step explanation:
1:10000
means we are using the same metric on the map and in reality.
just 1 unit in the map corresponds to 10000 units in reality.
so, e.g. 1 cm on the map = 10000 cm in reality.
1 m = 100 cm
so, 10000 cm = 100 m.
therefore, 1 cm on the map = 100 m in reality.
but we need 5 km = 5000 m.
that is 50 times 100 m in reality or 1 cm on the map.
so, the length on the map is 50 cm.
The width of a rectangle is 3 units less than the length. The area of the rectangle is 18 units. What is the length, in units, of the rectangle?
Answer:
w=3units l=6 units
Step-by-step explanation:
The required length and width of the rectangle are 6 and 3 units
Given that,
The width of a rectangle is 3 units less than the length. The area of the rectangle is 18 units.
The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Let the length of the rectangle be l and the width of the rectangle is l -3
Now,
area of the rectangle,
18 = l [l - 3]
18 = l² - 3l
l² - 3l - 18 = 0
l² - 6l + 3l - 18 = 0
(l - 6) + 3 (l - 6) = 0
(l - 6)(l + 3) = 0
l = 6 {negative value of the l can be neglected.}
now,
width = 6 - 3 = 3
Thus, the required length and width of the rectangle are 6 and 3 units.
learn more about rectangles here:
brainly.com/question/15019502
#SPJ2
All the integers from -16 to -6
Answer:
-7 -8 -9 -10 -11 -12 -13 -14 -15
Step-by-step explanation: Integers are just numbers that are not fractions or decimals so like any number
Adriel buys 20 bottles of grapefruit juice at the corner store for a total cost of $7.80.
If each bottle costs the same amount, how much is 6 bottles of juice?
The cost of 6 bottles of juice is $2.34 if the each bottle costs the same.
According to the question,
We have the following information:
Adriel buys 20 bottles of grapefruit juice at the corner store for a total cost of $7.80.
Cost of 20 bottles of juice = $7.80
Now, from here we can find the cost of 1 bottle of juice by dividing the total cost by the number of bottles purchased.
Cost of 1 bottle of juice = $(7.80/20)
Cost of 1 bottle of juice = $0.39
Now, we can easily find the cost of 6 bottles of juice by multiplying the cost of 1 bottle of juice by 6.
Cost of 6 bottles of juice = $(0.39*6)
Cost of 6 bottles of juice = $2.24
Hence, the cost of 6 bottles of juice is $2.24.
To know more about cost of 6 bottles of juice here
https://brainly.com/question/28481723
#SPJ1
Solve for the value of n
Thank you!!
Answer:
n = 27
Step-by-step explanation:
n + 6 + 2n + 3 + 90 = 180
solve for n then n = 27
hope this helped
have a good day ^^
A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $9 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth
$4 a pound?
To get a mixture worth $4 a pound, pounds of coffee should be added.
(Type an integer, proper fraction, or mixed number)
Why is the image of the setting sun most likely not described in great detail in "Because I Could Not Stop for Death"?It is a common symbol of death that requires little description.It is a part of the plot that does little to contribute to the theme.It is not meant to be seen as an important symbol within the poem.It is not a significant aspect of the mood created within the poem.
The image of the setting sun most likely not described in great detail in "Because I Could Not Stop for Death" because it is a common symbol of death that requires little description.
Emily Dickinson's lyrical poem "Because I could not stop for Death" was originally printed in Poems: Series 1 in 1890, after her death. We don't know if Dickinson finished "Since I could not stop for Death" or if it was "abandoned" because her writing was never granted permission to be published.
In the poem "Because I could not stop for death the personified Death appears to Dickinson's poem's speaker. The poet's character speaks calmly about Death, the Afterlife, and the tranquility that comes with it. She represents Death as a young guy accompanying her in a carriage. She gives us a quick overview of her previous life while still living as she passes through to the afterlife.
To know more about Poem here
https://brainly.com/question/4003862
#SPJ1
Choose the equation that represents the line that passes through the point (2, 6) and has a slope of -5.
A) y = -5x + 2
B) y = -5x - 6
C) y = -5x - 4
D) y = -5x + 16
Answer:
option d
Step-by-step explanation:
y=mx+c
6= -5*2+c
c=6+10
c=16
To make coffee, one small scoop of coffee grounds is added to 2 cups of water. You can draw a ratio table or make a proportion to help find how many cups of water to use for 5 scoops of coffee.
The proportional relation:
y = 2*x
Tells us how many cups of water we need for x scoops of coffee, with this we can see that for 5 scoops we need 10 cups.
How many cups of water do we need for 5 scoops of coffee?We know that for one small scoop of coffee, you need to add 2 cups of water. Then we can write the proportional relation:
y = 2*x
Where x is the number of scoops of coffee and y is the number of cups of water.
if x = 5, then:
y = 2*5 = 10
y = 10
So for 5 scoops of coffee, you need 10 cups of water.
Laern more about proportional relations:
https://brainly.com/question/12242745
#SPJ1
Ella is testing out a new studying method and wants to know if it works. She decides to compare her spelling test scores from last week and this week. On last week's test, Ella spelled 16 out of the 20 words correctly. On this week's test, she spelled 13 out of the 15 words correctly. On which test did Ella get a higher ratio of correctly spelled words to total words?
Ella got a higher test score (ratio of correctly spelled words to total words) in the current week when she spelled 13 out of 15 words correctly.
In last week, Ella spelled 16 out of 20 words correctly which is 16:20 in ratio terms and is equivalent to 0.8 (in decimal terms) or 80% in percentage terms.
In current week Ella spelled 13 out of 15 words correctly which is 13:15 in ratio terms and is equivalent to 0.866... (in recurring decimal terms) or 86.7% in percentage terms.
86.7% being greater than 80%, Ella scored higher in current week than in last week's spelling test.
To know more about "Ratio" click here
https://brainly.com/question/13419413
#SPJ1
Li Na is preparing for a party. She will have at least 100 guests attending. The venue has small tables that seat 4 people and large tables that seat 6 people.
Write an equation or inequality to represent how many small and large tables Li Na could use
to seat all her guests.
Answer: 100 = 4x + 6y
Step-by-step explanation:
We have a total of 100 guests, small tables seat 4, and large tables seat 6. So for each small table used, 4 guests are subtracted from the total.
x = small tables
y = large tables
What is the amplitude of the function y = sin1/2x
since y=AsinKx.......1
so amplitude =|A|=1
Prior Knowledge Problems:
1. On the first math test, Jamaya
answered 19 out of 25 questions
correctly. On the second test she got
17 out of 20 correct. On which test did
she get a better grade?
a. Write a ratio in fraction form to
compare the number correct to the
total questions for each test.
b. Can you compare these two ratios
as they are written?
a) Ratio in fraction form to compare the number correct to the total questions for each test is [tex]\frac{17}{20}[/tex].
b) Yes, we compare these two ratios as they are written.
How to calculate the above question?Jamaya got a better answer on the test on her second test, and you could compare these two ratios as they are written.
a)
First: Convert the each of scores into the percentages:
How do you convert the ratios to percentages? Well, first we have to convert ratio to a decimal or a fraction. Let's convert it to fraction. So, 19 out of 25 will become fraction [tex]\frac{19}{25}[/tex], and 17 out of 20 will become fraction [tex]\frac{17}{20}[/tex] . To convert fraction to percentage:
Divide numerator by denominator:
19 ÷ 25 = 0.76 AND 17 ÷ 20 = 0.85
Multiply the quotient by 100
0.76 x 100 = 76 AND 0.85 x 100 = 85
Add percent sign
76% AND 85%
Now, two quantities are easier to compare. We can obviously see that 85% is the bigger [and better] than 76%. So, ratio that equals 85% - 17 out of 20 - is a better grade.
b)
Yes, you can compare the these two ratios, just find [positive] difference between the amount that she scored and the total number of scores that could be gained.
25 - 19 = 6
20 - 17 = 3
Since equation with 20 and 17 in it has a smaller difference, it is most likely to have a greater value [because that means that Jamaya got more right and less wrong, which means a greater mark which is also greater quantity].
To now more about fraction visit: https://brainly.com/question/10354322
#SPJ9