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.
Answer:
Should look like this
Step-by-step explanation:
y-intercept = 2
slope = 1
Answer:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Step-by-step explanation:
<A ≅ <E,
Side length AC ≅ Side length EF
Side length AB ≅ Side length ED,
Thus, this implies that an included angle and two sides of one triangle are congruent to an included angle and 2 corresponding side lengths of the other triangle.
Therefore, we would conclude that:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Answer:
sin A = 3/5
cos A = 4/5
tan A = 3/4
Step-by-step explanation:
Using the trigonometric ratios;
SOH CAH TOA
Sin A = opposite/hypotenuse
cos A = adjacent/hypotenuse
tan A = opposite / adjacent
From the diagram given;
opposite = 3 adjacent =4
We can find the value of the hypotenuse by using the Pythagoras theorem
opposite² + adjacent² = hypotenuse²
3² + 4² =hypotenuse²
9 + 16 =hypotenuse²
25 = hypotenuse²
take the square root of both-side
√25 = √hypotenuse²
5 = hypotenuse
hypotenuse = 5
sin A = opposite / hypotenuse
sin A = 3/5
cos A = adjacent/hypotenuse
cos A = 4/5
Tan A = opposite /adjacent
tan A = 3/4
-5 1/2, -5/2, -5.2, -5.5, -5,
