Answer:
about 55 quarts
Step-by-step explanation:
1.1 * 50
You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :
1. AB is the hypotenuse, so, according to the theorem we can write :
AB² = AC² + CB²
c² = 5² + 4²
c²= 25 + 16
c² = 41
applying the square root of 41 we get :
c ≈ 6.40 rounded to the hundred
The next cases are exactly the same thing so there is no need for explanation :
2.
AB is the hypotenuse here because it is the biggest side clearl :
AB² = AC² + CB²
25² = 15² + b²
Thus
b² = 25² - 15²
we just subtracted 15² on each side of the equation
b² = 625 - 225
b² = 400
applying the square root of 400 we get
b = √400 = 20
So AC = 20
3. The longest side is clearly AB = 60
So
AB² = AC² + CB²
60² = 40² + a²
subtracting 40² on each side of the equation we get :
a² = 60² - 40²
I let you finish this using your calculator and doing exactly like the previous cases
4.
AB is the hypotenuse,
AB² = AC² + CB²
23² = b² + 14²
Subtracting 14² from each side of the equation we get
b² = 23² - 14²
5.
AB is the biggest side :
AB² = AC² + CB²
29² = 23² + a²
We subtract 23² on each sides of the equation :
a² = 29² - 23²
You can finish with your calculator
6.
AB² = AC² + BC²
78² = b² + 30²
subtraction...
b² = 78² - 30²
Good luck :)
Answer:
A.
Step-by-step explanation:
From the given information:
If A = m × n matrix
where;
b is a vector in 
Then; the statement that doesn't fit and is not related to the other three from the given options is Option A.
This is because the statement in Option A appears to be inconsistent. For the model Ax=b to have a solution, A must be non-singular and b must be in A's column space.
Option c and d are equivalent, also option b and c are equivalent.
Answer:
the answer to this question is x=21
Step-by-step explanation:
Hope this didnt help
Answer:
height of the building is 12.99 feet.
Step-by-step explanation:
given, try to analyse:
- ladder 15 feet long.
- 60 degree angle to the ground.
the height of the building is opposite to the angle 60° and given hypotenuse, the ladder of 15 feet long.
using sine rule:
Therefore the height of the building is 12.99 feet.
