When I factor[ 2cos (square) - 5cos -3], I get (2cos + 1)(cos - 3). 2cos + 1 = 0, 2cos = -1, cos = -0.5,. Using inv cos on calculator, I get 120 degree related angle.
Answer:
5.) 352
6.) 125000
7.) 7000
8.) 3900160
9.) 1 pound and 8 ounces
10.) 333.333
Step-by-step explanation:
There are 8 possible outcomes for a marble being drawn and numbered.
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.
In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.
</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.
In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>
</span>
Volume of house = 46*50*8=18400 ft^3
Each foot equals 0.3048 m. (exactly).
Therefore 1 ft^3 = 0.3048^3 m^3
Therefore volume of the interior of the house
= 18400 ft^3 * .3048^3 m^3/ft^3
=18400*.3048^3 m^3
=521.0299772928 m^3
=521 m^3 (nearest m^3) ................(a)
or, in cubic centimeters
=521 m^3 * (100cm/m)^3
=521.0299772928 * 100^3 cm^3
=521029977.2928 cm^3
=521029977 cm^3 (nearest cm^3) .........(b)
Answer: see (a) and (b).
