9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.
Answer:
a = 12m
Step-by-step explanation:
In order to solve this problem we will need to know the Pythagoras theorem that states that in a right angled triangle the square of the hypotenuse (the side opposite to the right angel) is equal to the sum of the squares of the other two sides. This theorem can be written as an equation....
![c^{2} = a^{2} + b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20%20%2B%20b%5E%7B2%7D)
Now we can see that we can easily find the missing value by using this theorem. We just have to substitute the values. And we get the following
![c^{2} = a^{2} + b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D)
![a^{2} = c^{2} - b^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3D%20c%5E%7B2%7D%20-%20b%5E%7B2%7D)
![a^{2} = 15^{2} - 9^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3D%2015%5E%7B2%7D%20-%209%5E%7B2%7D)
![a^{2} = 225 - 81](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3D%20225%20-%2081)
![a^{2} = 144](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3D%20144)
![a = \sqrt{144}](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7B144%7D)
![a = 12](https://tex.z-dn.net/?f=a%20%3D%2012)
Answer:
speed is 240 miles per hour
Step-by-step explanation:
Answer:
<h3>4</h3>
Step-by-step explanation:
![- 1 | \frac{2}{3} - 4| \div \frac{5}{6} \\ - 1 | \frac{2}{3} - \frac{4 \times 3}{1 \times 3} | \div \frac{5}{6} \\ - 1 | \frac{2 - 12}{3} | \div \frac{5}{6} \\ - 1 | \frac{ - 10}{3} | \div \frac{5}{6} \\ \frac{10}{3} \div \frac{5}{6} \\ \frac{10}{3} \times \frac{6}{5} \\ \frac{2}{1} \times \frac{2}{1} = 4](https://tex.z-dn.net/?f=%20-%201%20%7C%20%5Cfrac%7B2%7D%7B3%7D%20%20-%204%7C%20%20%5Cdiv%20%20%5Cfrac%7B5%7D%7B6%7D%20%20%5C%5C%20%20-%201%20%7C%20%5Cfrac%7B2%7D%7B3%7D%20-%20%20%5Cfrac%7B4%20%5Ctimes%203%7D%7B1%20%5Ctimes%203%7D%20%20%7C%20%20%5Cdiv%20%20%5Cfrac%7B5%7D%7B6%7D%20%20%5C%5C%20%20-%201%20%7C%20%5Cfrac%7B2%20-%2012%7D%7B3%7D%20%7C%20%20%5Cdiv%20%20%5Cfrac%7B5%7D%7B6%7D%20%20%5C%5C%20%20-%201%20%7C%20%5Cfrac%7B%20-%2010%7D%7B3%7D%20%7C%20%20%5Cdiv%20%20%5Cfrac%7B5%7D%7B6%7D%20%20%5C%5C%20%20%5Cfrac%7B10%7D%7B3%7D%20%20%5Cdiv%20%20%5Cfrac%7B5%7D%7B6%7D%20%20%5C%5C%20%20%5Cfrac%7B10%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B6%7D%7B5%7D%20%20%5C%5C%20%20%5Cfrac%7B2%7D%7B1%7D%20%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B1%7D%20%3D%204%20)
Answer would be C
Because I always use the rule of :
B - Brackets
I - indices
D - division
M - multiplication
A - addition
S - subtraction