The question is an illustration of scale drawing
The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point
<h3>How to calculate the actual distance</h3>
The distance on the map are given as:
A =2 cm
B = 8 cm
C = 7 cm
The total distance on the map would be:
![Total =2cm + 8cm + 7cm](https://tex.z-dn.net/?f=Total%20%3D2cm%20%2B%208cm%20%2B%207cm)
![Total =17cm](https://tex.z-dn.net/?f=Total%20%3D17cm)
The actual distance between the store and the dungeon is 4 kilometers.
This means that:
![B' =4km](https://tex.z-dn.net/?f=B%27%20%3D4km)
So, we have:
![Scale = B : B'](https://tex.z-dn.net/?f=Scale%20%3D%20B%20%3A%20B%27)
![Scale = 8cm : 4km'](https://tex.z-dn.net/?f=Scale%20%3D%208cm%20%3A%204km%27)
Represent the required actual distance with x.
So, we have:
![17cm : x = 8cm : 4km](https://tex.z-dn.net/?f=17cm%20%3A%20x%20%3D%208cm%20%3A%204km)
Express as fraction
![\frac{x}{17} = \frac 48](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B17%7D%20%3D%20%5Cfrac%2048)
Multiply both sides by 17
![x = \frac 48 * 17](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%2048%20%2A%2017)
![x = 8.5](https://tex.z-dn.net/?f=x%20%3D%208.5)
Hence, the actual distance travelled is 8.5 km
Read more about scale drawing at:
brainly.com/question/24579126
Answer:
24
Step-by-step explanation:
since 6/6 equals a whole, then 6/6 equals 1 pound. Since she feeds the birds 1/6 of a pound each day, just find out how many 6th are in 4 pounds (24).
Hope this helps :) good luck
Answer:
See below
Step-by-step explanation:
For a parallelogram m < A = m < C so:-
75 + 5x = 87 + 3x
2x = 12
x = 6
and m< A = 75 + 30 = 105
and m < C = 87 + 18 = 105
Now if the other 2 angles are = 75 degrees( that is the same side angles add up to 180 degrees) we have proved that it is a parallelogram.
m < B = m < D
111 - 6x = 39 + 6x
-12x = -72
x = 6
m < B = 111 - 36 = 75 and m < D = 39 + 36 = 75
So this has been proved.
The confidence interval for the mean usage of water is (18.7,20.5).
Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.
We have to find the confidence interval for the mean usage of water.
To find out the confidence interval we have to first find margin of error.
μ=19.5
σ=2.4
α=0.98
α/2=0.49
We have to find the z value for the p value 0.49 which is z=2.33
Margin of error=z*μ/![\sqrt{n}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D)
=2.33*19.5/![\sqrt{3034}](https://tex.z-dn.net/?f=%5Csqrt%7B3034%7D)
=0.82
lower level=mean -m
=19.5-0.82
=18.68
after rounding upto 1 decimal
=18.7
upper mean = mean+m
=19.5+0.82
=20.52
Hence the confidence interval for the usage of water is (18.7,20.52).
Learn more about margin of error at brainly.com/question/10218601
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