Answer:
3 in
Step-by-step explanation:
The volume of the large sphere is ...
V = (4/3)πr³ = 288π . . . cubic inches
The volume of the smaller sphere is ...
288π -252π = 36π . . . cubic inches
The ratio of volumes of the smaller sphere to the larger is the cube of the ratio of radii. The radius of the smaller sphere will be ...
(6 in)∛(36π/(288π)) = (6 in)∛(1/8) = 3 in . . . . small sphere radius
Answer:
M < abc = 55 Degrees
Step-by-step explanation:
Since you can use the substitute angle of the triangle, this enables you to simplify the equation, knowing that all triangles angles add up to 180 degrees.
Answer:
p = 26 ; q = 60
Step-by-step explanation:
Given the demand and supply functions :
Supply function:
4p - q = 44
Demand function :
(p + 2)q = 1680 - - - - (1)
p = price ; q = quantity
Expressing supply function interms of q
4p - 44 = q - - - - - (2)
Plug 4p - 44 = q into (1)
(p + 2) (4p - 44) = 1680
4p²- 44p + 8p - 88 = 1680
4p² - 36p - 1768 = 0
p² - 9p - 442p = 0
p(p - 26) + 17(p-26) = 0
(p + 17) = 0 ; (p - 26) =0
p = - 17 or p = 26
Price of commodity can't be negative, Hence, p = 26
From q = 4p - 44
Put p = 26
q = 4(26) - 44
q = 104 - 44
q = 60
p = 26 ; q = 60
Answer:
? = 58°
Step-by-step explanation:
Angles subtended by tangents and radii of a circle are supplementary, so
? + 122° = 180° ( subtract 122° from both sides )
? = 58°
If the exponent is positive then you move the decimal to the right to make the number bigger. If the exponent is negative then you move the decimal to the left to make the number smaller.