Answer:
12 feet
Step-by-step explanation:
As a ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e
P²+B²= H²
Where,
'P' is perpendicular i.e the distance from the top of the ladder to the ground
'B' is base i.e be the distance from the bottom of the ladder to the house
'H' is hypotenuse i.e 13
considering 'x' as perpendicular
So, base would be 'x-7'
Applying Pythagoras theorem,
x² + (x-7)²= 13²
x² +x² -14x +49 =169
2x² -14x -120= 0
x² -7x -60=0 ----> solving the quadratic equation
x² + 5x -12x-60=0
x(x+5) -12(x+5)=0
Either : x+5=0 => x=-5
OR: x-12=0 => x=12
We'll choose the positive length.
therefore , The distance from the bottom of the ladder to the house is 12 feet
Answer: false
Step-by-step explanation:
Toby saves 30.30 money by buying 30 T-shirts at better price.
Step-by-step explanation:
Cost of pack of 5 T-shirts = 13.00 money.
Cost of pack of 2 T-shirts = 7.22 money.
Toby wants to buy total T-shirts = 30 T-shirts.
<u>Case 1 </u>:
For 30 T-shirts, If Toby buys in packs of 5 T-shirts then the number of packs he should buy = 30/5 = 6 packs.
The cost for six packs of 5 T-shirts = 6*13.00 = 78.00 money.
<u>Case 2 </u>:
For 30 T-shirts, If Toby buys in packs of 2 T-shirts then the number of packs he should buy = 30/2 = 15 packs.
The cost for 15 packs of 2 T-shirts = 15*7.22 = 108.30 money.
The money saved = 108.30 -78.00 = 30.30 money.
Therefore, The better price to buy 30 T-shirts is 78.00 money.
