Answer:
the scale factor and the ratio of their perimeters is 8/9
Step-by-step explanation:
k^2=area 1/area 2
k^2=64/81
=square root if k^2=square root of 64/81
=<u>k</u><u>=</u><u>8</u><u>/</u><u>9</u>
(i.) CA = πrl
CA = π (5*13)
CA = 65π
(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π
(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12
(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π
An equation for the ellipse ( standard form ):
x²/a² + y²/b² = 1
Here is: a - semi-major axis and b - semi-minor axis.
Radius of the moon is 1,000 km and the distance from the surface of the moon to the satellite varies from 953 km to 466 km.
a = 1,000 + 953 = 1,953 km
b = 1,000 + 466 = 1,466 km
Answer:
The equation is x² / 1,953² + y² / 1,466² = 1
or: x²/3,814,209 + y²/2,149,156 = 1
Hi there!
Since the total weight the box can hold is 8 pounds, and she filled up 2/4:
8 * 2/4 = 4
There were 4 pounds in the box.
Hope this helps!
Answer:
24
Step-by-step explanation:
The sum of the their ages is 72. 48 divided by 2 is 24. 48 plus 24 is 72
