That's a question about the Pythagorean Theorem.
We use the Pythagorean Theorem to find the value of one side in a right triangle.
This theorem says that:
- <em>a</em> is the hypotenuse (It's the opposite side the right angle).
- <em>b</em> and <em>c </em>are cathetus (They're the adjacent sides the right angle).
Okay, now, let's go to solve this problem! In our figure, we have two cathetus. Their values are 10 and 7 and we have to find the value of <em>x </em>(the hypotenuse). Let's change this information in that formula.
Therefore, the value of <em>x </em>is 
.
I hope I've helped. :D
Enjoy your studies! \o/
Answer:
The answer to your question is 10 units ²
Step-by-step explanation:
To solve this problem I will use the formula
3 3
A = 1/2 3 -1 = 1/2 [ (3 x -1) + (3 x -5) + (-2 x 3) - (3 x -5) - (-2 x -1)
-2 -5 -(3 x 3)]
3 3 = 1/2 [ -3 - 15 - 6 + 15 - 2 - 9]
= 1/2 [ -20]
= 1/2|20|
= 10 units²
Sorry, I don't remember how to use the formula 1/2 b x h
Answer:
AB = 24 cm, BC = 6 cm
Step-by-step explanation:
The perimeter of PQRS = 2(8) + 2(2) = 16 + 4 = 20 cm
Given the perimeter of ABCD is 60 cm, then
scale factor = 
= 3
That is the dimensions of ABCD are 3 times those of PQRS, so
AB = 3 × 8 cm = 24 cm
BC = 3 × 2 cm = 6 cm
Answer:
This amount of sunny days this year is 75% of the amount of sunny days last year.
Step-by-step explanation:
Answer:
t = 6162 years
Step-by-step explanation:
This equation takes the form of
We are given everything but the amount of C-14 at time t = 0. But we can figure it out from the info we ARE given. We are told that when the spear head is found it contains 54% of its original amount of C-14. Notice we are dealing in percents. If 54% remains when it is found, it started out with 100% of its amount. That's our N value. Filling in:
Our goal is to get that t down from the exponential position that it is currently in. To do that we will need to eventually take the natural log of both sides, because ln's and e's "undo" each other, much like squaring "undoes" a square, or dividing "undoes" multiplication. So we take the natural log of both sides. On the right side, notice that when we take the natural log, the e disappears; it's "undone", gone. Before that, though, we will simplify by dividing both sides by 54. 100/54 = 1.851851852. So, altogether...
Simplifying by plugging the log of that number into our calculator, we get
.6161861395 = .0001t and
t = 6161.8613
Rounding to the nearest year, t = 6162 years
