Answer:
432
Step-by-step explanation:
3×8=24
24×4=96
96×4.5=432
Answer:
950.455in^3
Step-by-step explanation:
Given data
Circumference= 11π
Also, the expression for circumference is
C=2πr
11π=2πr
solve for r
r= 11π/2π
r= 5.5in
Given that the Height h= 10in
The expression for the volume is
V= πr^2h
V=3.142*5.5^2*10
V=3.142*30.25*10
V=950.455 in^3
Hence the volume is
950.455in^3
Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
Density = Mass (grams) / Volume (cubic cm)
Density = 5.67g / .835 cc
Density = 6.7904191617 g per cc
1 Cubic Centimeter = 1,000 cubic millimeters
Density = 6.79 g / cc = .00679 g / cubic millimeter