Bear in mind that, is an isosceles
right-triangle, so, one angle is 90°.
check the picture below.
Answer:
Gold
Step-by-step explanation:
<em>Casandra finds a treasure chest packed with metallic coins. The chest has a volume of 0.25 cubic meters. The coins have a combined mass of 4825 kg. Hoping to find gold, she calculates the density to determine the metal of the coins.</em>
<em>What kind of metal are the coins made of?</em>
<em>Bronze (8700 kg per cubic meter)</em>
<em>Silver (10500 kg per cubic meter)</em>
<em>Lead (11300 kg per cubic meter)</em>
<em>Gold (19300 kg per cubic meter)</em>
<em />
Density is mass per volume:
D = M / V
D = (4825 kg) / (0.25 m³)
D = 19,300 kg/m³
The coins must be made of gold.
Answer:
The height of the trapezoid is 6.63 units
The perimeter of the trapezoid is 38 units
Step-by-step explanation:
Whenever a geometry problem is given, it is often useful if it is sketched out. A sketch of this problem can be found in the image attached.
A)
We can see that a right-angled triangle is formed between points BED, with line BE being the height, h.
To get the dimensions of the line EB, we subtract the dimensions of DC from AB. This will give 15 -5 = 10
hence the dimensions of the righ angled triangle are
DE= h
DB = 12 (diagonal)
EB = 10
From Pythagoras' theorem,

The height of the trapezoid is 6.63
B)
We can get the perimeter of the trapezoid by adding the dimensions of all four sides together.
This will be
AD + DC + CB + AB
However we can assume for this case that it is a symmetrical trapezoid, and hence AD = CB
Thus, perimeter =
2 (AD) + DC +AB
2(9) +5 +15 = 38.
The perimeter of the trapezoid is 38 units
I'm guessing your limit is

The limand is continuous at x = 5, so we can evaluate the limit directly by substituting x = 5:
