I'm using PEDMAS.
Multiplication first.
2 • 4 = 8
Subtraction.
20 - 4 = 16
16 + 8 = 24
Please let me know if you spot any errors (especially the fraction operation)
I'll give you a hint
20) Add 56 to both sides
23) Add 1.5 to both sides
Also, as a AP Calc BC student, laziness doesn't really help get a good job soo...
Answer:
B) 15/(9+(-9))
Step-by-step explanation:
Be careful of the parentheses because if you just write out 15/9+(-9),
it's technically, saying that 15/9+(-9)=5/3+(-9)=5/3-9, and that's different from what you want to express, mathematically.
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
5 + 3t
Step-by-step explanation:
t = amount Tanya has
Lucy = $5 more than 3x of what Tanya has