Answer:
see explanation
Step-by-step explanation:
(1)
Calculate the circumference (C) of the wheel
C = πd (d is the diameter )
= 3.14 × 8 = 25.12 cm
Now divide the distance travelled by the circumference.
times rotated = 12560 ÷ 25.12 ≈ 500
----------------------------------------------------------------
(2)
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Find r by using the circumference (C)
2πr = 50.24 ( divide both sides by 2π )
r = 50.24 ÷ 6.28 = 8 , then
A = 3.14 × 8² = 3.14 × 64 ≈ 200.96 ft² ( student 3 )
-----------------------------------------------------------------
(3)
C = πd = 3.14 × 30 = 94.2 ≈ 94 m
The domain of G is 4 and the range of G is 9 (domain=x, range=y :))
<h2>
Answer:</h2>
<em> The side of the triangle is either 38.63ft or 10.35ft</em>
<h2>
Step-by-step explanation:</h2>
This problem can be translated as an image as shown in the Figure below. We know that:
- The side of the square is 10 ft.
- One of the vertices of an equilateral triangle is on the vertex of a square.
- Two other vertices are on the not adjacent sides of the same square.
Let's call:
Since the given triangle is equilateral, each side measures the same length. So:
x: The side of the equilateral triangle (Triangle 1)
y: A side of another triangle called Triangle 2.
That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:

We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:

Therefore, for Triangle 3, we have that by Pythagorean theorem:

Matching equations (1) and (2):

Using quadratic formula:

Finding x from (1):

<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>
Answer: f(x)= (3/4)^x/2 —> Decay
f(x)=(4/3)^x —> Growth
f(x)=(5/6)^3x —> Decay
f(x)=(8/3)^x/3 —> Growth
f(x)=(3/2)^2x —> Growth
Step-by-step explanation: When you graph them one by one, for example, the first equation (f(x)= (3/4)^x/2), the graph would have an asymptote on the right side, meaning that it’s decaying.
Straight up explanation: if the asymptote on the graph is on the left then it is growing, but if the asymptote is on the right then it’s decaying.
Asymptote is the “line” that almost touches the x axis.
1. Know order of operations (bedmas, Canada), (pemdas, USA)
Brackets
Exponents
Division
Multiplication
Addition
Subtraction
Or
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction.
Multiplication and division are from left to right so whichever comes first is the one u solve first. Same with subtraction and addition