Answer:
The answer to your question is b = 8.06 cm
Step-by-step explanation:
Data
hypotenuse = c = 9 cm
long leg = b = ?
short leg = a = 4 cm
Process
This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)
c² = a² + b²
-Solve for b²
b² = c² - a²
-Substitution
b² = 9² - 4²
-Simplification
b² = 81 - 16
b² = 65
-Result
b = 8.06 cm
I believe she will be at the age of 14 if she is 3 years younger
B, binomial. 2 terms
Hope that helps
I think the answer could be either 1:1 or 6:6
Puppy Liz has to run approx 70ft to get to fire hydrant from the bench post.
Step-by-step explanation:
Let bench post be point A, fire hydrant be B and electrical post bottom be C and top be O.
We are given CO = 40ft
and angle BOC = 34°
angle AOC = 34 +23 = 57°
Let AB be y and AC be x
Clearly two right triangles are formed.
We can say,
In triangle BOC,
cos34° = Perpendicular ÷ Base = x÷40 => x = 40cos34°
and In triangle AOC
cos57° = Perpendicular ÷ Base = (x+y)÷40
substituting value of x from first equation to second we get,
40cos57° = 40cos34° + y
y = 40(cos57° - cos34°)
y = 40x1.75
y = 70ft which is the required answer.