Answer:
A. √16
Step-by-step explanation:
A perfect square is any number that can be expressed as a product of an integer and itself. i.e. 4 can be represented as 2 × 2. Therefore, 4 is a perfect square.
From the options given, the only radical expression that has two perfect square is √16.
√16 consists of two perfect squares, which are 4 and 4.
4 can be expressed as 2 × 2.
Thus: √16 = √(2 × 2)(2 × 2).
Therefore, √16 consists of two perfect squares.
( 5/3 + 2 2/5 ) ÷ ( 1 3/4 ) =
( 5×5/3×5 + 2 2×3/5×3 ) ÷ ( 4/4 + 3/4 ) =
( 25/15 + 2 6/15 ) ÷ ( 7/4 ) =
(25/15 + 30/15 + 6/15 ) ÷ ( 7/4 ) =
( 25 + 30 + 6 / 15 ) ÷ ( 7/4 ) =
( 61/15 ) ÷ ( 7/4 ) =
61/15 <em>×</em><em> </em><em>4</em><em>/</em><em>7</em><em> </em> =
61 × 4 / 15 × 7 =
244 / 105
Answer:
18.84
Step-by-step explanation:
Circumference = 2πd
where d = diameter
the shape given has a diameter of 6
to find the circumference we simply plug in the value of the diameter as well as π into the formula
formula : C = πd
π = 3.14 and d = 6
C = 3.14(6) = 18.84cm
Answer: 586.59 cubic centimeters .
Step-by-step explanation:
As per given . we have
Inner diameter = 1.8 inches
⇒Inner radius :r = 0.9 in. (radius is half of diameter)
= 0.9 x (2.54) = 2.286 cm [∵ 1 in . = 2.54 cm]
Outer diameter = 2 inches
⇒Outer radius : R = 1 inch = 2.54 cm
Height : h = 5 feet = 5 x(30.48) = 152.4 cm [∵ 1 foot = 30.48 cm]
The formula to find the volume of a hollow cylinder :
, where R= outer radius , r= inner radius and h= height.
Now , the volume of metal in the conduit :




Hence, the volume of metal in the conduit is 586.59 cubic centimeters .
Answer:
A=3
Step-by-step explanation:
so the scale factor from ABC to DEF is 1/4. so 8*1/4 is 2 which is what they give us. so 12 *1/4 would be 3. The area of DEF is 3.