In the right triangle given, the length of UT using the Pythagorean theorem is: UT = 15.
<h3>What is the Pythagorean Theorem?</h3>
Pythagorean theorem is given as: c² = a² + b², where a and b are the legs of a right triangle, and c is the hypotenuse (the side opposite the right angle).
Given:
c = TV = 17
a = UT = ?
b = UV = 8
Plug in the values
17² = UT² + 8²
UT = √(17² - 8²)
UT = 15.
Thus, in the right triangle given, the length of UT using the Pythagorean theorem is: UT = 15.
Learn more about the Pythagorean theorem on:
brainly.com/question/21332040
Answer:
A) 277 million years
Step-by-step explanation:
Here, decay of U-238 is first order reaction. (since most of the nuclear decays are first order).
so, the equation t =
× ln(
)
where, t = time from start of reaction
k = reaction constant
A(0) = initial concentration; A = present concentration.
⇒ 4.5 billion = 4500 million years =
× ln2.
Now, given 95.82% of parent U-238 isotope is left.
⇒ t =
× ln(
)
t =
× ln(
)
⇒ t ≅ 277 million years.
Answer:
LETTERS
Step-by-step explanation:
In Arithmetic, variables look like LETTERS.
First, we group together the terms with variables in one side by subtracting 3/2 x and 5 from both sides of the equation.
(2/3)x - (3/2)x + 5 - 5 = (3/2)x - (3/2)x - 5
(-5/6)x = -5
The value of x from the equation is 6.
Answer:
315
Step-by-step explanation:
If one gallon of gas can give you 45 miles, than multiple 45 ( the miles ) times 7 (the gallons of gas) and you will have your answer :)