Answer:
r = 10.5
Step-by-step explanation:
using the Pythagorean theorem:
(7 + r)² = 14² + r²
49 + 14r + r² = 196 + r²
subtract r² from both sides of the equation:
14r + 49 = 196
subtract 49 from both sides:
14r = 147
divide both sides by 14:
r = 10.5
Answer:
Width = 132 feet, Length = 291 feet
Step-by-step explanation:
perimeter (P) = 846
let width(W) = x
length(L) = 159 feet more than width = 159 + W= 159 + x
P of a rectangle = 2*(L + W)
846 = 2*((159 + x) + x)
divide both side by 2
423 = (159 + x) + x
423 = 159 + 2x
rearranging
2x + 159 = 423
2x = 423 -159
2x = 264
divide both sides by 2
x = 132 feet
recall W = x and L = 159 + x
W = 132 feet
L = 159 + 132 = 291 feet
Answer:
I think it is letter B
Step-by-step explanation:
Both the height are 5 in and the width is 10in :)
The answer is
G=105. I know this because look at the picture lol. You're welcome though.
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