Answer:
1 1/3
Step-by-step explanation:
2/3 x 2/1 = 4/3 = 1 1/3
Answer:
3 in
Step-by-step explanation:
The volume of the large sphere is ...
V = (4/3)πr³ = 288π . . . cubic inches
The volume of the smaller sphere is ...
288π -252π = 36π . . . cubic inches
The ratio of volumes of the smaller sphere to the larger is the cube of the ratio of radii. The radius of the smaller sphere will be ...
(6 in)∛(36π/(288π)) = (6 in)∛(1/8) = 3 in . . . . small sphere radius
First you have to combine like terms, which are x and -.49x. You then get 0.51x. The equation now becomes .51x=5045.53. You then divide .51 on both sides. On the left you are left with x and on the right you are left with x=9893.19608.
D 14/21 can be reduced by 7 to equal 2/3
To solve this problem, first we have to find the measure of <BAC. To do this, we must set up an equation that represents that <BAC and <DAB are supplementary, meaning their sum is 180 degrees. Since we know that <DAB is 123 degrees, we can make our equation: 180 = 123 + m<BAC. To solve this equation, we simply just subtract 123 from both sides, making your answer: m<BAC = 57 degrees.
Next, we must use our knowledge that the three inner angles of a triangle must add up to a total of 180 degrees. Therefore, 180 = 58 + 57 + x, using our knowledge from previous work and the values from the figure. If we combine like terms on the right side of the equation, we get: 180 = 115 + x. Our final step is to subtract 115 from both sides to get the variable x alone, so we get: x=65.
Therefore, your answer is x=65 degrees.
Hope this helps!