Answer:
Jessica bought 2.25 yards more fabric.
Step-by-step explanation:
For Jessica we will consider 5 to be 100% which is 1 in decimals (100÷100=1) of what she bought originally and since she bought 20% (which is 0.20 in decimals 20÷100=0.20) more then we have 100% + 20% = 1 + 0.20 = 1.20 of our original 5. So now we multiply 5×1.20=6, so Jessica bought 6 yards.
Similarly we have Dan who bought 3 yards plus 25% more. Well 25% is 0.25 and so: 100% + 25% = 125% = 1.25. Now, we will multiply 3 × 1.25 = 3.75 yards. Therefore, Jessica bought more fabric. How much more? 6 - 3.75 = 2.25 yards more.
48 divisors: 1, 2; 4; 5; 6; 8; 12; 16; 24; 48;
Answer:
11 days with one treat left over. Or 11.3
Step-by-step explanation:
Answer:
The tree is approximately 22.707 meters tall.
Step-by-step explanation:
The geometric diagram of the problem is included below as attachment. The height of the tree is found by means of trigonometric functions:
![\tan \alpha = \frac{h}{w}](https://tex.z-dn.net/?f=%5Ctan%20%5Calpha%20%3D%20%5Cfrac%7Bh%7D%7Bw%7D)
Where:
- Elevation angle, measured in sexagesimal degrees.
- Height of the tree, measured in meters.
- Length of the tree shadow, measured in meters.
The height of the tree is cleared in the equation:
![h = w\cdot \tan \alpha](https://tex.z-dn.net/?f=h%20%3D%20w%5Ccdot%20%5Ctan%20%5Calpha)
If
and
, the height is:
![h = (51\,m)\cdot \tan 24^{\circ}](https://tex.z-dn.net/?f=h%20%3D%20%2851%5C%2Cm%29%5Ccdot%20%5Ctan%2024%5E%7B%5Ccirc%7D)
![h \approx 22.707\m](https://tex.z-dn.net/?f=h%20%5Capprox%2022.707%5Cm)
The tree is approximately 22.707 meters tall.