Complete question :
Lucy has block letters that are in the shape of cubes with sides 2 3 foot long. She has a box which is 1 1 3 foot long, 2 3 foot wide, and 2 3 foot tall. Find the number of block letters that will fit in the box.
Answer:
1/2
Step-by-step explanation:
Number of block letters that will fit in :
Volume of box ÷ volume of each letter cube
Volume of each letter cube = (side length)³ = (2/3)³ = 8/27 ft³
Volume of box = length * width * height
Volume of box = 1 1/3 * 2/3 * 2/3
Volume of box = 4/3 * 2/3 * 2/3 = 16 / 27 ft³
Therefore ;
8/27 ÷ 16/27
8/27 * 27/16
= 8/16
= 1/2
Answer:
<u><em>Note. All numbers are rounded to the nearest tenth</em></u>
1
- x/9 = cos 48°
- x = 9 cos 48°
- x = 6.0
2.
- x/11 = sin62°
- x = 11 sin 62°
- x = 9.7
3.
- x/8 = tan 75
- x = 8 tan 75°
- x = 29.9
4.
- sin x = 38/53
- x = arcsin 38.53
- x = 45.8°
5.
- tan x = 15/20
- x = arctan 15/20
- x = 36.9°
6.
- cos x = 27/29
- x = arccos 27/29
- x = 21.4°
12 (3) = 36
36+2= 38
so the answer is -38/3
Answer:
4
Step-by-step explanation:
The equation is 2(10+x)=28 where x is the unknown number we are trying to find. Use distrubutive property to combine like terms. 2 times 10 is 20 and 2 times x is 2x. Now we have 20+2x = 28. What you do to one side you must do to the other. 20 minus 20 is 0. 28 minus 20 is 8. Now our equation is 2x is 8. To find 1 x we divided in half. 8/2 is 4 therefore the missing variable is 4.
Answer:
The probability is 0.1944
Step-by-step explanation:
Since we are rolling two dice, the number of possible results is 36
for us to get a sum of seven, these are the possible results;
1 and 6
6 and 1
2 and 5
5 and 2
3 and 4
4 and 3
The probability of rolling a sum of 7 is 6/36
For a sum of 12, we only have one possible result and that is 6,6
So the probability here is 1/36
If we have or in probability, we add up the individual probabilities
So, our probability here will be;
1/36 + 6/36
= 7/36 = 0.1944
