Answer:
see explanation.
Step-by-step explanation:
2(10 * 4 * 7) is a surface area.
7 * 4 * 10 is volume.
2(10 * 4 + 10 * 7 + 4 * 7) is surface area.
10 + 4 + 7 is neither.
2 * 7 * 4 + 2 * 10 * 7 + 2 * 4 * 10 is neither.
hope this helps.
1/2y^2=1/2x^2+8. The curve's slope at (x,y) is x/y, so dy/dx=x/y. To solve this differential equation, rearrange it to: y*dy=x*dx, and by integrating both sides, we get 1/2y^2=1/2x^2+C (some constant). Plug in (0,4) into this equation, 8=0+C, so C=8. The curve's equation is 1/2y^2=1/2x^2+8.
10Answer:
10 + 10 =
Step-by-step explanation:
=20
.020 because it is 2 spots behind the decimal
Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
