Answer:
2, 49, 63
Step-by-step explanation:
multiply x by 7 to get y
Answer: a. a literal equation
Step-by-step explanation:
A literal equation is an equation which comprises basically of letters., where letters are nothing but variables.
All the kinds of formulas are said to be examples of literal equations.
For example slope intercept form 
The rate of change of position on a straight line 
, where 'd' is the distance and 't' is the time.
Therefore, a literal equation is an equation with more than one variables.
Step-by-step explanation:
40° + 90° + 90° + angle ACB = 360°
220° + angle ACB = 360°
angle ACB = 360° - 220°
Therefore angle ACB = 140°
Hope it will help :)
Answer:
h ≈ 7.816 cm
r ≈ 5.527 cm
Step-by-step explanation:
The volume of a cone is:
V = ⅓ π r² h
The lateral surface area of a cone is:
A = π r √(r² + h²)
1/4 of a liter is 250 cm³.
250 = ⅓ π r² h
h = 750 / (π r²)
Square both sides of the area equation:
A² = π² r² (r² + h²)
Substitute for h:
A² = π² r² (r² + (750 / (π r²))²)
A² = π² r² (r² + 750² / (π² r⁴))
A² = π² (r⁴ + 750² / (π² r²))
Take derivative of both sides with respect to r:
2A dA/dr = π² (4r³ − 2 × 750² / (π² r³))
Set dA/dr to 0 and solve for r.
0 = π² (4r³ − 2 × 750² / (π² r³))
0 = 4r³ − 2 × 750² / (π² r³)
4r³ = 2 × 750² / (π² r³)
r⁶ = 750² / (2π²)
r³ = 750 / (π√2)
r³ = 375√2 / π
r = ∛(375√2 / π)
r ≈ 5.527
Now solve for h.
h = 750 / (π r²)
h = 750 / (π (375√2 / π)^⅔)
h = 750 ∛(375√2 / π) / (π (375√2 / π))
h = 2 ∛(375√2 / π) / √2
h = √2 ∛(375√2 / π)
h ≈ 7.816
Notice that at the minimum area, h = r√2.
Answer:
∠ QPM = 68°
Step-by-step explanation:
The measure of the chord- chord angle QPM is half the sum of the arcs intercepted by the angle and its vertical angle, that is
∠ QPM = 
( LM + LK )
= ( 76 + 60)°
= × 136°
= 68°
