One of his
greatest contributions to the Persian Empire was the way he promoted tolerance
for all religions throughout the empire. The Persians left great legacies to humanity such as the construction of
the first canal, the postal system, and the creation of large gardens in
temples and cities and the tradition of carpets that are used today in homes
around the world, besides his great tolerance to different cultures and
religions.
Answer:
422
Step-by-step explanation:
Large rectangle
A = 2(lw+wh+lh)
A = 2(7*10+10*5+7*5)
A = 310
Small rectangle
A = 136
Now the squares that connect both, 4*3
Since you have 1 on each rectangle, the total area for this is 24
add 310 + 136 and substract 24
Answer:
8.45 grams
Step-by-step explanation:
In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly finds that the weight of the compound is 8,450 mg. What is the value in grams (g) that Shelly should enter?
1 mg = 0.001 g
8450 mg = x
Cross Multiply
= 8450 × 0.001 g
= 8.45 g
Therefore, Shelly should enter 8.45 grams
9514 1404 393
Answer:
m∠2 = 16° or 25°
Step-by-step explanation:
The sum of angles 1 and 2 is congruent to angle CED.
20° +(x^2)° = (9x)°
x^2 -9x +20 = 0 . . . . . divide by °, put in standard form
(x -5)(x -4) = 0 . . . . . . . factor
x = 5 or 4
m∠2 = (x^2)° = (5^2)° or (4^2)°
m∠2 = 16° or 25°
Part A
<h3>Answer:
h^2 + 4h</h3>
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Explanation:
We multiply the length and height to get the area
area = (length)*(height)
area = (h+4)*(h)
area = h(h+4)
area = h^2 + 4h .... apply the distributive property
The units for the area are in square inches.
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Part B
<h3>Answer:
h^2 + 16h + 60</h3>
-------------------
Explanation:
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Similarly, along the vertical side we'd have the h go to h+3+3 = h+6
The old rectangle that was h by h+4 is now h+6 by h+10
Multiply these expressions to find the area
area = length*width
area = (h+6)(h+10)
area = x(h+10) ..... replace h+6 with x
area = xh + 10x .... distribute
area = h( x ) + 10( x )
area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6
area = h^2+6h + 10h+60 .... distribute again twice more
area = h^2 + 16h + 60
You can also use the box method or the FOIL rule as alternative routes to find the area.
The units for the area are in square inches.
