Answer:
y = 14 
Step-by-step explanation:
For an exponential function of the form y = a
Use the given points to find a and b
Using (0, 14 ), then
14 = a
(
= 1 ) , thus
a = 14
y = 14
Using (3, 3024 ) , then
3024 = 14 b³ ( divide both sides by 14 )
216 = b³ ( take the cube root of both sides )
b =
= 6 , thus
y = 14 ×
← exponential function
The length of the altitude is 9.5 cm.
The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal). This gives us a right triangle with leg 5.5 and hypotenuse 11. We use the Pythagorean theorem:
5.5² + h² = 11²
30.25 + h² = 121
Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75
Take the square root of both sides:
√h² = √90.75
h = 9.5
Answer:
not enough information
Step-by-step explanation:
So 6.5 inches long in scale, but every 2 in is 5 yards.
Divide 6.5 by 2. This gives you 3.25. Then multiply by 5 to get yards.
It’s 16.25 yards long.