Answer: 1,098.1
Step-by-step explanation: Hope this helps, Merry Christmas, and have a nice day!
Answer:
3 (8v+5) (8v-5)
Step-by-step explanation:
192v^2 -75
factor out a 3
3 (64v^2 -25)
now the inside is a difference of squares)
a^2 – b^2 = (a + b)(a – b) where a = 8v and b =5
3 (8v+5) (8v-5)
Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The student is 6 feet tall. What is the height of the tree? Show all work
<em><u>Answer:</u></em>
Option D
The height of tree is 20 feet tall
<em><u>Solution:</u></em>
From given question,
Shadow of tree = 30 feet
Height of tree = ?
Height of student = 6 feet
Shadow of student = 9 feet
We have to find the height of tree
We can solve the sum by proportion
This forms a proportion and we can solve the sum by cross multiplying
Thus height of tree is 20 feet tall
1. Gold has a higher density than silver. This is shown by the equation D = M/V, where D is density, M is mass, and V is volume. This means that when the jeweler put an equal amount of mass in, he had
to put a greater volume of silver to equal the same mass of gold. The total volume of the crown increased.
2. Archimedes discovered that the amount of volume he put in (whether his body, or the crown) would be equal to the rise in volume of the water level (that is, the new water level versus the old one before anything had been put in). Archimedes would have then gotten a block of gold that weighed the same as the crown and checked the volume rise. Then once he tested the crown, he would have seen that the volume rise was higher than expected, and he would know that the jeweler had included some silver.
