Answer:
А.The system has two solutions, but only one is viable because the other results in a negative width.
Step-by-step explanation:
Given
Let:
length of play area A
width of play area A
length of play area B
width of play area B
Area of A
Area of B
From the question, we have the following:
The area of A is:
This gives:
Open bracket
The area of B is:
Substitute:
Open brackets
Expand
We have that:
This gives:
Collect like terms
Using quadratic calculator, we have:
or 
--- approximated
But the width can not be negative; So:
Answer:
Angle A = 53
Step-by-step explanation:
All triangles add up to 180 so...
Lets use x to describe angle A
100+27+x=180
127+x=180
x=53
I'm confused what its asking about b and c but hope this helps a bit :)
Answer:
C
Step-by-step explanation:
Since the triangle is right with hypotenuse QR
Use Pythagoras' identity to solve for QR
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
QR² = 8² + (8
)²
= 64 + 192
= 256 ( take the square root of both sides )
QR = 
= 16
Answer:
212 meters
Step-by-step explanation:
The diagonal of a square is the square root of 2 times the length of the square. This can be rewritten as the square root of (2*area)
2 * 22500 = 45000
The square root of 45000 is about 212.13, which would round down to 212 meters.
Answer: Yes
Explanation:
120 % = 1.2
If Maxine is correct, then she spent 1.2
times the hours she did homework than last week.
15 ⋅ 1.2 = 18.0 = 18
15 hours ⋅ 1.2 = 18.0 hours = 18 hours
Maxine is correct
