The weight of an object is the product of its mass and the acceleration of gravity.
If g[e] is the acceleration of gravity on earth, and g[M] the same for Mars and g[m] the same for the moon,
then m[M]=m[e]g[M]/g[e] and m[m]=m[e]g[m]/g[e] where m[ ] denotes mass. Note that weight=mg (measured in newtons) while mass is in kilograms.
If g[M]=g[e]/3 and g[m]=g[e]/6 approximately. Then the weight of an object on Mars will be about a third of what it is on earth, while on the moon it would be about a sixth of what it is on earth.
<span>Answer:
n=64 is large enough to use a z-test. The two-tailed 90% confidence interval (5% in each tail) is
pop. mean +/- 1.64 (s.d. / sqrt(n) ) = 16 +/- 1.64 * 0.2/8 oz = [15.959, 16.041]oz
m</span>
Answer:
Step-by-step explanation:
Since we have points (-1,5) and (3,4) we can find the slope m of y=mx+b
m=(y2-y1)/(x2-d1)=(5-4)/(-1-3)=1/-4=-1/4 so we have
y=-x/4+b, using point (3,4) we can solve for the y intercept, b.
4=-3/4+b, b=19/4, so the line is
y=(-x+19)/4
Answer:
<C=48 because 90-42=42 as in the other side of the triangle.
<B=42 because vertical angles are always congruent.
<B+<D=90 because <D is 48 because it is vertical to <C
Answer:
Step-by-step explanation:
See attachment for the figure
Volume of pyramid can be defined as
V = 1/3 x area of the base x height.
-> Pyramid A:
Volume of Pyramid can be determined by:
V = 1/3 x (2.6cm)² x (2cm) = 4.5067 cm³
Pyramid B:
Volume of Pyramid can be determined by:
V = 1/3 x (2cm)² x (2.5cm) = 3.3333 cm³
Difference b/w two oblique pyramids: 4.5067 cm³ - 3.333 cm³ = 1.17 cm³
By Rounding the volumes to the nearest tenth of a centimeter
1.17cm³ ≈ 1.2cm³
Therefore, the difference of the volumes of the two oblique pyramids is 1.2cm³
