Step-by-step explanation:
A baseball field is in the shape of a square (or diamond). Home plate and second base are opposite corners of each other. So the distance is equal to the diagonal of the square.
Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.
Using Pythagorean theorem:
c² = a² + b²
c² = (90 ft)² + (90 ft)²
c = 90√2 ft
c ≈ 127 ft
Answer: w = 50
Step-by-step explanation:
4.5w - 5.1w = -30
-0.6w = -30
0.6w = 30
W = 50
Answer:
27.5 minutes
Step-by-step explanation:
Using,
R/R' = 2ᵃ/ᵇ------------------ Equation 1
From the equation,
R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.
Given: R = 870 grams, R' = 154 grams, b = 11 minutes.
Substitute these values into equation 1
870/154 = 2ᵃ/¹¹
(870/154)¹¹ = 2ᵃ
Solve for a
2ᵃ = (5.649)¹¹
2ᵃ = 187061.26
Taking the logarithm of both side,
Log2ᵃ = Log(187061.26)
⇒ a = log(187061.26)/log2
a = 8.272/0.301
a = 27.5 minutes
Answer:
Step-by-step explanation:
A rectangular prism is also know as a cuboid.
The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.
The volume of a cuboid (rectangular prism) is given as:
V = L * B * H
Hence, the volume of the bath tub is:
V = 5½ * 2½ * 2¾
V = 11/2 * 5/2 * 11/4
V = 605 / 16 =
The volume of the bath tub is
Answer:
60%
Step-by-step explanation:
It went up 12 dollars, and you need to find how much 12 is of 20 as a percent. You do 12/20 times 5/5 and get 60/100, so 60% markup
