Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be 
, we proceed to show the appropriate procedure to step 4:
1) 
Given
2) 
Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
. If 
, then:
But if 
, then:
Hence, correct answer is A.
You can find the value of the hypotenuse if you apply the Pythagorean Theorem, which is show below:
h²=a²+ b² ⇒ h=√(a² + b²)
h: hypotenuse (the opposite side of the right angle and the longest side of the triangle).
a and b: legs (the sides that form the right angle).
Then, you have:
h²=a² + b²
h²=12²+12²
h=√ ((12)² + (12)²)
h=12√2
What is the lenght of the hypotenuse?
The answer is: The length of the hypotenuse is 12√2
Answer:
a.(+4) and (+2)
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Answer: total number of teaspoons of spices in the dish =3.25 teaspoons
Step-by-step explanation:
Step 1
Listing the spices and their quantities , we have
Salt = 1/2 teaspoon
Orégano =1 1/4 teaspoon =5/4 teaspoons
Basil = 3/4 teaspoon
Pepper= in half as much pepper as salt -- This means that the quantity of pepper should be 50% more in quantity than salt
Therefore quantity of pepper = 50% x 1/2 = 0.5 x 0.5= 0.25
0.25 + 1/2 = 0.25 + 0.5 = 0.75 = 3/4 teaspoon of pepper.
Step 2
Adding the amount of spices we have
1/2 + 5/4+ 3/4+ 3/4 = 2+ 5+3+ 3/4 = 13/4 = 3 1/4 teaspoons of spices = 3.25 teaspoons of spices .
Answer:
Width = 4.85 feet
Length = 7.85 feet
Step-by-step explanation:
Given:
Perimeter of a rectangle = 25 2/5 ft = 25.4 feet
Length = 3 + Width
Computation:
Assume;
Width = a
So,
Length = 3 + a
Perimeter of a rectangle = 2(l + b)
25.4 = 2[(3 + a) + a]
25.4 = 2[3 + 2a]
25.4 = 6 + 4a
4a = 19.4
a = 4.85
Width = 4.85 feet
Length = 3 + 4.85
Length = 7.85 feet
