Answer:
40 cubes
Step-by-step explanation:
multiply side lengths or the prism by 2, then solve for volume
2.5 * 2 = 5
2 * 2 = 4
1 * 2 = 2
5 * 4 * 2 = 40
If you have a unit circle, it means that you have a circle of radius r = 1 unit. So if we consider the scalene triangle of the figure, its vertical side is the sine of the theta angle and its horizontal side is the cosine of the theta angle. Then to find the hypotenuse of the triangle you use the Pythagorean theorem, thus relating the sine and cosine measures. I attach the solution.
Answer:
Step-by-step explanation:
Divide so you get a decimal. 1/2 = 0.5. 2/3 = 0.666
0.666 > 0.5
So 1/2 is less than 2/3
Answer:
Dave is 18 and his sister is 6.
Step-by-step explanation:
If you do 38 -7x2 you can work out the combined ages of them now which is 24 (you have to do 7x2 because there are two of them and its seven years in the future). Then you can work out their ages using a ratio. Dave’s age : his sister’s age is 3:1 so if you divide 24 by 4 (3+1 = 4 so your can work out one portion of their age) you can find out how old the sister is which is 6. Times that by 3 to get Dave’s age which is 18. A formula for this (where x is his sisters age) would be 3x=38-7x2 which cancels down to 6.
