Answer: 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Explanation:
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Note: "h" = time in "hour(s)" ;
"cm" = length in "centimeter(s)" ;
"min" = time in "minute(s)";
"m" = length in "meter(s)"
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Note these EXACT conversions:
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100 cm = 1 m ;
60 min = 1 h ;
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To solve:
Given: 17 cm / min ; convert to: ________ m / h
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(17 cm / min)* (1 m /100cm) * (60 min / 1 h) = _______ m / h
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The "cm" units cancel to "1"; the "min" units cancel to "1" and we are left with units of "m/h" {"meters per hour"}.
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We are left with (17 *1 m * 60) / (100 * 1 h) = [(17 * 60) m] / [100 h]
= [(17 *60) / 100 ] meters per hour.
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To simply: (17 * 60) / 100 ;
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Method 1): To simplify: (17 * 60) / 100 ;
→Rewrite as: (17*60) / 100 = (17*20*3)/(20*5) ;
→Cancel out the "20's "; and rewrite as:
→ (17*60) / 100 = (17*3)/5 = 51/5
= 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Method 2) To simplify: (17 * 60) / 100 ; Use calculator (or by hand):
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→ (17 * 60) / 100 = 1,020 /100
= 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Method 3) To simplify: (17 * 60) / 100 ;
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→ (17 * 60) / 100 = ? ;
→ Divide BOTH the "100" AND the "60" by "10";
→ 60÷10 = 6 ; 100÷10 =10; and rewrite—replace the "60" with a "6"; and replace the "100" with a "10" ;
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→ (17*60)/100 = (17*6)/10 = 102/10
= 10.2 meters per hours; or, write as: 10 ⅕ meters per hour.
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Answer:
The answer will be A
Step-by-step explanation:
Answer:
2. 30 ft
3. 50 ft.
Step-by-step explanation:
2. The contour map of a place is shown in the diagram.
The point E is placed near to the 30 ft contour line.
Therefore, the elevation of the point E on the map is 30 ft. (Answer)
3. From the same contour map shown in the diagram, it is clear that,
The point F is placed near to the 50 ft contour line.
Therefore, the elevation of the point F on the map is 50 ft. (Answer)
Answer:
144 cans
Step-by-step explanation:
Number of cans in the top row = 1
Number of cans in the second row = 3
Number of cans in the third row = 5
Here, the sequence obtained is ![1,3,5,...](https://tex.z-dn.net/?f=1%2C3%2C5%2C...)
This forms an arithmetic progression with common difference as ![3-1=5-3=2](https://tex.z-dn.net/?f=3-1%3D5-3%3D2)
Let d denotes the common difference and n denotes number of terms.
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Here,
denotes sum of n terms.
Put ![a=1,d=2,n=12](https://tex.z-dn.net/?f=a%3D1%2Cd%3D2%2Cn%3D12)
![S_{12}=\frac{12}{2}[2(1)+(12-1)2]\\=6[2+(11)2]\\=6(2+22)\\=6(24)\\=144](https://tex.z-dn.net/?f=S_%7B12%7D%3D%5Cfrac%7B12%7D%7B2%7D%5B2%281%29%2B%2812-1%292%5D%5C%5C%3D6%5B2%2B%2811%292%5D%5C%5C%3D6%282%2B22%29%5C%5C%3D6%2824%29%5C%5C%3D144)
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
(Got it from google lol hope it helped!)