Answer:
2/1 or 2
Step-by-step explanation:
m(slope)= y2-y1/ x2-x1
i hope this helps
Perimeter = 2 widths + 2 length
356 = 2(84) + 2 length
356 = 168 + 2 length
356-168 = 2 length
188 = 2 length
so length = 188/2 = 94 yards
Answer:
Number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600
Explanation:
Lowest four digit positive integer = 1000
Highest four digit positive integer less than 4000 = 3999
We know that multiples of 5 end with 0 or 5 in their last digit.
So, lowest four digit positive integer which is a multiple of 5 = 1000
Highest four digit positive integer less than 4000 which is a multiple of 5 = 3995.
So, the numbers goes like,
1000, 1005, 1010 .....................................................3990, 3995
These numbers are in arithmetic progression, so we have first term = 1000 and common difference = 5 and nth term(An) = 3995, we need to find n.
An = a + (n-1)d
3995 = 1000 + (n-1)x 5
(n-1) x 5 = 2995
(n-1) = 599
n = 600
So, number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600
Answer:
<h2>54m²</h2>
Step-by-step explanation:
<h3>METHOD 1:</h3>
You can use the Heron's formula:
![A=\sqrt{p(p-a)(p-b)(p-c)}](https://tex.z-dn.net/?f=A%3D%5Csqrt%7Bp%28p-a%29%28p-b%29%28p-c%29%7D)
where
<em>p</em><em> - half of perimeter</em>
<em>a, b, c</em><em> - lengths of sides</em>
We have
![a=12m;\ b=15m;\ c=9m](https://tex.z-dn.net/?f=a%3D12m%3B%5C%20b%3D15m%3B%5C%20c%3D9m)
Calculate:
![p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)](https://tex.z-dn.net/?f=p%3D%5Cdfrac%7B12%2B15%2B9%7D%7B2%7D%3D%5Cdfrac%7B36%7D%7B2%7D%3D18%5C%20%28m%29%5C%5C%5C%5CA%3D%5Csqrt%7B18%2818-12%29%2B%2818-15%29%2818-9%29%7D%5C%5C%5C%5CA%3D%5Csqrt%7B%2818%29%286%29%283%29%289%29%7D%5C%5C%5C%5CA%3D%5Csqrt%7B2916%7D%5C%5C%5C%5CA%3D54%5C%20%28m%5E2%29)
<h3>METHOD 2:</h3>
Let's check that it is not a right triangle.
If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.
We have
![9m < 12m](https://tex.z-dn.net/?f=9m%20%3C%2012m%3C15m)
Check:
![9^2+12^2=81+144=225\\15^2=225](https://tex.z-dn.net/?f=9%5E2%2B12%5E2%3D81%2B144%3D225%5C%5C15%5E2%3D225)
This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.
The formula of an area of a right triangle is:
![A=\dfrac{ab}{2}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7Bab%7D%7B2%7D)
<em>a, b</em><em> - legs</em>
Substitute:
![A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B%289%29%2812%29%7D%7B2%7D%3D%5Cdfrac%7B108%7D%7B2%7D%3D54%5C%20%28m%5E2%29)
For the first one his car used 8/340 or 2/85 gallons for one mile.
After the fix, his car 7/350 or 1/50 gallons for one mile.
Then you subtract 1/50-2/85 to get (17-10)/850 or 7/850.
You multiply this by 4 to get 28/850 which is $0.0329411
Since it is asking for cents you multiply by 100 to get approximately 3 cents.