ANSWER:
Let hypotenuse be h.
On using trigonometric function, we get.
sin52° = 12/h
0.788 = 12/h
h = 12/0.788
h = 15.2 rounded.
Answer:
x = -3 or x = -5
Step-by-step explanation:
Solve for x:
(x + 3) (x + 5) = 0
Split into two equations:
x + 3 = 0 or x + 5 = 0
Subtract 3 from both sides:
x = -3 or x + 5 = 0
Subtract 5 from both sides:
Answer: x = -3 or x = -5
If we make the days and ounces be in the ordered pair, the points are: (2, 39), (4, 33), (6, 27), and (8, 21). We may use linear regression from the calculator using the equation,
y = Ax + B
where A is the slope. The value of A from the linear regression is equal to -3.
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