Answer:
y = -0/12x + 4
the line is horizontal so it's zero slope and the y intercept is 4
Step-by-step explanation:
Answer:
what? are you asking
Step-by-step explanation:
Hello!
<h2>
31.3° and 58.7°</h2><h2>
</h2>
To solve, we can set up an algebraic expression.
Complementary angles add up to 90°, and in this instance, one angle is 27.4° more than the other. Therefore:
∠1 = x
∠2 = x + 27.4°
∠1 + ∠2 = 90°
x + (x + 27.4°) = 90°
Combine like terms:
2x + 27.4° = 90°
Subtract 27.4 from both sides:
2x = 62.6°
Divide both sides by 2:
x = 31.3°
Therefore, one of the angles is 31.3°. Solve for the measure of the other angle:
(31.3°) + 27.4° = 58.7°
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)
A: yes, because the opposite sides are congruent and parallel, it is a parallelogram.
b: yes, because the diagonals bisect each other, it is a parallelogram.