9514 1404 393
Answer:
Step-by-step explanation:
The sum of angles in any triangle is 180°.
(x +45) +(2x +95) +(3x +48) = 180
6x +188 = 180 . . . . . . . . collect terms
6x = -8 . . . . . . . . . . . subtract 188
x = -4/3 . . . . . . . . divide by 6
Then the angles are ...
x +45 = -4/3 +45 = 43 2/3°
2x +95 = 2(-4/3) +95 = 92 1/3° . . . . the obtuse angle
3x +48 = 3(-4/3) +48 = 44°
You should try this video!
https://youtu.be/xFaoHjZGbu8
and if that doesnt help, this one!
https://youtu.be/Allm58bH_co
We are given with two distances: 5,880,000,000,000 miles and 15.8 light-years. we convert first the light-years distance through the speed of light : 3 x 108 m/s. v = d/t; d = 3x10 8 m/s * 15.8 light years * 31536000 s = 1.4948 x1017 m = 9.28829 x 1013 miles. The difference thus is 8.70029 x 1013 miles
<span>Remember the ratios
Linear = a : b
Area = a^2 : b^2
Volume = a^3 : b^3
Hence area ratios are 1008 : 1372
Becomes linear ratios of Sqrt(1008) : sqrt(1372) :: 31.749 : 37.040
Volume ratios becomes 31.749^3 : 37.040^3 :: 32002.96 : 50817.46
Hence
32002.96 / 50817.46 = Vol (S) / 1801 cm^3
Vol(s) = 32002.96 X 1801 / 50817.46 = 1134.20cm^3 ( nearest hundredth).
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