The length of the rectangle or classroom floor is 19 feet less than twice the width. which expression represents the area of the classroom floor?a) 6w-38
b) 2w (squared) -19w
d) 3w-19
Answers
The expression that represents the area of the classroom floor is 2w -19w
What is a rectangle?
'A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.'
According to the given sum,
Width = w
Length = 2w - 19
Area of a rectangle = length × width
= w × (2w - 19)
= 2w ( squared ) - 19w
Hence, we can conclude that the expression that represents the area of the classroom floor is 2w (squared) - 19w.
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Answer:
B
Step-by-step explanation:
The area is calculated by length×width. In this case you don't know the length or width precisely so you say 2w (squared) because it's the width×width and you subtract 19 because then you actually have width×length.
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Based on the Hypotenuse-LengthTheorem of Congruence (HL), the values of x and y that will make both right triangles congruent are:
- x = 8
- y = 4
Recall:
- Two right triangles are congruent to each other by the Hypotenuse-Length Congruence Theorem (HL) if the hypotenuse length and one leg of a right triangle is congruent to the hypotenuse length and leg of the other right triangle.
Thus, for both right triangles to be congruent, it means that their hypotenuse and one of their corresponding legs must be equal to each other.
Use this to create two equations and solve to get the value of x and y.
- Equal Hypotenuse:
(eqn. 1)
- Equal legs:
(eqn. 2).
- Find the value of y, by substituting x = (y + 4) into eqn. 1.
(eqn. 1)
- Substitute
- Find the value of x, by substituting y = 4 into eqn. 2.
Therefore, based on the Hypotenuse-LengthTheorem of Congruence (HL), the values of x and y that will make both right triangles congruent are:
- x = 8
- y = 4
Learn more here:
Answer:
x = 8 and y = 4
Step-by-step explanation:
For congruency the hypotenuse and a leg must be congruent, that is
3y = x + 4 → (1) ( Equating the hypotenuse )
x = y + 4 → (2) ( equating corresponding legs )
Substitute x = y + 4 into (1)
3y = y + 4 + 4
3y = y + 8 ( subtract y from both sides )
2y = 8 ( divide both sides by 2 )
y = 4
Substitute y = 4 into (2)
x = 4 + 4 = 8
Answers
Answers
1.2 divides by 0.04 is 30.
What is division?
The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
Now it is given that,
1.2 divides by 0.04
Converting them into simpler form we get,
1.2 = 12/10 = 12 * 10⁻¹
and,
0.04 = 4/100 = 4 * 10⁻²
Dividing both the terms,
1.2 ÷ 0.04 = 12 * 10⁻¹ ÷ 4 * 10⁻²
Taking alike terms together we get,
1.2 ÷ 0.04 = (12 ÷ 4 ) * (10⁻¹ ÷ 10⁻²)
⇒ 1.2 ÷ 0.04 = (4*3 ÷ 4 ) * (10⁻¹ * 10²)
⇒ 1.2 ÷ 0.04 = (3 ) * (10⁻¹⁺²)
⇒ 1.2 ÷ 0.04 = (3 ) * (10)
⇒ 1.2 ÷ 0.04 = 30
which is the required answer.
Thus, 1.2 divides by 0.04 is 30.
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Answers
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