Answer:
1600
Step-by-step explanation:
1600 is the answer because
321×5 = 1605 so estimation = 1605
Answer:
59.25 currency ; No. of cans rounded to next whole number
Step-by-step explanation:
Draw a perpendicular line frrom the 12m. line onto the 20m. line. We get a rectangle on the left and a right-triangle on the right.
Using Pythagorous theorem,
Fence = 
m = 15 m
So, area of the lawn = ( 1/2 ) * ( 12 + 20 ) * 16 sqm = 240 sqm
So, number of cans needed = 240/100 = 2.4 ≈ 3 [Cause cans can't be partially bought ]
Total cost = 3 * 19.75 currency = 59.25 currency
( However, if cans can be partially bought, then total cost = 47.4 currency )
Answer:
d. 21.5
Step-by-step explanation:
To find the missing side length of each triangle, use the pythagorean theorem. The theorem is 
where a, b, and c are all side lengths of the triangle. a is the smallest lef and b is the other leg while c is always the hypotenuse or longest side.
In d, you'll use it twice to find the missing measure. First use it when a = 12 and b = 20. So you'll have:
Repeat the same process using a = 9 and c = 23.32. Then solve for the b value.
Answer: 7 Courts
Step-by-step explanation: One US gallon equals for US courts, so 1 3/4 x 4 is seven
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
