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
The standard deviation is the square root of the variance...so that means the variance is the standard deviation squared.
2.3^2 = 5.29 <===
Let x = the amount of grapes that can be bought for 0.40.
Note: By 90 I assume you mean 90 cents. The same for 40.
12/x = 0.90/0.40
0.90x = 12(0.40)
0.90x = 4.80
x = 4.80 ÷ 0.90
x = 5.33333
We can round the decimal to the ones place to get 5 grapes.
Answer:
f^12
Step-by-step explanation:
In this equation, you need to add the two exponents so this would make f^12
hope this helps!
Answer:
4 x (b+2)
Step-by-step explanation:
Jesus is king :)