Answer:
19 ft = 19/3 yd
Step-by-step explanation:
If 3 ft = 1 yd, then 19 ft = 1 yd * 19/3 ft = 19/3 yd
1345/99 = 13.585858
14
Rounding is easy, just look at the number in the tenths place. If the number is less than 5 round down and if the number is greater than or equal to 5 round up.
Answer: 51 uinits
The three numbers are x , x + 21 and x + 27.
The greatest of the 3 numbers is x + 27, so x + 27 has to be the hypotenuse.
----------------------------------------------
Pythagoras Theorem
----------------------------------------------
a² + b² = c²
x² + (x+21)² = (x+27)²
x² + x² + 42x + 441 = x² + 54x + 729
x² - 12x -288 = 0
(x - 24)(x + 12) = 0
x = 24 or x = -12 (rejected, length cannot be negative)
----------------------------------------------
Find hypotenuse
----------------------------------------------
Hypotenuse = x + 27 = 24 + 27 = 51 units
-----------------------------------------------
Answer: 51 units
----------------------------------------------
Answer:
Henry is short of gravel
Step-by-step explanation:
Here, we are to identify which of the ingredients Henry is short of.
To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.
The total ratio is 1 + 4 + 7 = 12
For cement, we have ;
1/12 * 180 = 15 kg
For sand, we have
4/12 * 180 = 60kg
For gravel, we have
7/12 * 180 = 105 kg
From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel