Answer:
the absolute value is 6
Step-by-step explanation:
-|6| += -6
|6|=6
|-6|=6
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 + 10r
r² + 10r - 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)
() = Fraction
Answer:
1. x=
−(3
/5
y)+
(23
/5)
2. x=−2y+6
Step-by-step explanation:
Let's solve for x.
5x+3y=23
Step 1: Add -3y to both sides.
5x+3y+−3y=23+−3y
5x=−3y+23
Step 2: Divide both sides by 5.
5x
/5
=
−((3y+23)
/5)
x=
−(3
/5
y)+
(23
/5)
------------------------------------------------
Let's solve for x.
2x+4y=12
Step 1: Add -4y to both sides.
2x+4y+−4y=12+−4y
2x=−4y+12
Step 2: Divide both sides by 2.
(2x
/2
)=
−((4y+12)
/2)
x=−2y+6
Hope it helped!
Answer:
Step-by-step explanation:
Since cotangent of angle is:
And
- cos λ = x/1, sin λ = y / 1
The value of cot λ is:
- cot λ = x/y = - 0.358/0.934 = - 0.383 (rounded)
Correct choice is B
Answer:
the rate of change is 20 calories per minute.
Step-by-step explanation:
