Answer:
3,559.69
Step-by-step explanation:
the area = ½× 88×100× sin 54°
= 4400× 0.80902
= 3,559.69 sq units
Answer:
a. 12.5
Step-by-step explanation:
Scale factor of ∆LMN to ∆XYZ = 2:5
To find length of side ZX, set the ratio of the corresponding sides of interest equal to the scale factor.
Thus:
ZX corresponds to NL = 5
NL:ZX = 2:5
5:ZX = 2:5
5/ZX = 2/5
Cross multiply
5*5 = ZX*2
25 = ZX*2
Divide both sides by 2
25/2 = ZX
12.5 = ZX
ZX = 12.5
First we need to find out the volume of one cylinder. We already know the volume of the block of gold is 360cm3
V = Pie * radius squared* height.
Pie is 3.142
radius is 6.18/2 = 3.09 cm
height is 6cm
V = 3.142 * 3.09 * 3.09 * 6
V = 180cm3
Now we divide the volume of this cylinder with the volume of block of gold.
360/180 = 2
So it will take 2 cylinders to mold one block of gold.
Division of a fraction is the equivalent of multiplying by its reciprocal
ex.

i suggest you try to remember this concept
in terms of your question
from this point, just multiple the numerators together and denominators together, then simplify if necessary
fyi- difference of squares

relating that to

also a side note, you might want to factor out the 4 first in the top fraction