Answer:
-12771250
Step-by-step explanation:
We want to evaluate;

We expand to get;


We multiply to get;

We now subtract to get :

Answer:
12.2 feet
Step-by-step explanation:
The key to this problem is trigonometry.
Imagine a right triangle. With a height, 10 ft (representing the tree's height), and a base of 7 ft (representing the horizontal distance to the worm).
Now the hypoteneuse length, or otherwise the distance from the worm is unknown.
So this is where we can use the pythagorean theorem.

here is the hypoteneuse length, and
and
are the other lengths of the triangle.
Since we know a and b we can solve for c.
But first we will square root both sides of the equation to get
and not
.

Now just plug in our values for a and b respectively. (It doesn't matter what number replaces a or b, just make sure you are replacing a and b with the 2 known values) Calculate.

Round to the nearest tenth.
feet
Answer:
It will 26 weeks to save for the cruise starting from a balance of $140
(It will take 30 weeks in total, if you start saving from $0)
Step-by-step explanation:
let x = number of weeks
Given starting balance = $140
⇒ 140 + 35x = 1050
⇒ 35x = 1050 - 140
⇒ 35x = 910
⇒ x = 910 ÷ 35
⇒ x = 26
Answer:
True
Step-by-step explanation:
Each time a spinner is spun, there is an equal chance that each result will occur, thus each of these spins are independent.
Are there any dimensions on the triangle? or is it in terms of s? if so the answer would be 2s/sqrt(3) or you can rationalize the bottom and youd get 2sqrt(3)s/3