Answer:
The distance between the end of the ramp and the bottom of the platform is about 9.8 feet
Step-by-step explanation:
use the pythagorean theorem (a²+b²=c²) to solve
a and b are the legs, c is the hypotenuse
plug in given values:
2² + x² = 10²
solve for x:
x² + 4 = 100
x² = 96
x ≈ 9.80
The population is increasing every year. so we use exponential growth function
Where 'a' is the initial population
r is the rate of increase
x is the years
y is the final population
In 2015, the population of a small town in Florida is 95
Initial population a= 95
r= 15%= 0.15
x = 2023 - 2015 = 8 years
Plug in all the values and find out y
y = 290.607
The population in 2023 is 291
Answer: 5/6
Step-by-step explanation:
Use slope formula of y2-y1/x2-x1. So here it doesn’t matter which is which so I did (6,5) x1 and y1 and (0,0) x2 and y2
So plugging it in it would be 0-5/0-6 = -5/-6 which simplifies to 5/6
Answer: A) Point B, because if cups of frosting are 50, then drops of food coloring will be 200.
This is because the proportion of frosting to food coloring is 1:4, and if the answer to A is simplified (50:200), the ratio would be the same.
Answer:
2.5
Step-by-step explanation:
Simplifying
2y + -1.7 = 3.3
Reorder the terms:
-1.7 + 2y = 3.3
Solving
-1.7 + 2y = 3.3
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '1.7' to each side of the equation.
-1.7 + 1.7 + 2y = 3.3 + 1.7
Combine like terms: -1.7 + 1.7 = 0.0
0.0 + 2y = 3.3 + 1.7
2y = 3.3 + 1.7
Combine like terms: 3.3 + 1.7 = 5
2y = 5
Divide each side by '2'.
y = 2.5
Simplifying
y = 2.5
