Answer: 19.8 ft
Step-by-step explanation:
Use the Pythagorean Theorem formula to solve for how high the top of the ladder reach.
The formula says a^2 + b^2 = c^2
Where a and b are the two legs and C is the hypotenuse.
In this situation, the hypotenuse will be length of the ladder , and either a or b will be the length of the ladder from the building or the length of how long the ladder.
a will be 3 , and c will be 20. Input in the values into the formula and solve for b.
3^2 + b^2 = 20^2
9 + b^2 = 400
-9 -9
b^2 = 391
b =
b = 19.77371 round to the nearest tenth is , 19.8
Answer:
1020000is a hundredth tenths thousands
Answer:
9 represents the initial height from which the ball was dropped
Step-by-step explanation:
Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:
![f(n)=9(0.7)^{n}](https://tex.z-dn.net/?f=f%28n%29%3D9%280.7%29%5E%7Bn%7D)
The general formula for the geometric progression modelling this scenario is:
![f(n)=f_{0}(r)^{n}](https://tex.z-dn.net/?f=f%28n%29%3Df_%7B0%7D%28r%29%5E%7Bn%7D)
Here,
represents the initial height i.e. the height from which the object was dropped.
r represents the percentage the object covers with respect to the previous bounce.
Comparing the given scenario with general equation, we can write:
= 9
r = 0.7 = 70%
i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.
Answer:
13
Step-by-step explanation:
The product of two negative numbers is positive. The absolute value of a number is its magnitude written with a positive sign.
6 -2(-1) +|-5|
= 6 + 2 + 5
= 13