Answer: 764
Step-by-step explanation:
In a trapezoid, with bases
and
and height
, the area is given by

In your case:



so, the formula becomes

Since the area is
, we have

Answer:
Step-by-step explanation:
Here is the corrected question and options:
Option 1:

Option 2:

Option 3:

Option 4:

Solution:
Lets write each of the above given numbers in a simplified form:

Simplify this by converting it into a decimal form:
This becomes:
(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333
So
= 7.3
Simplify this by converting it into a decimal form:
This becomes:
221/30 = 7.3666666667
So,
= 7.367

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...
So after rounding it off this becomes:
7.36

Simplify this by converting it into a decimal form:
The value of e = 2.718
This becomes:
3.16 
= 3.16 (√5.436)
= 3.16 * 2.331523
= 7.3679949818
= 7.368
So
= 7.368
7.367995
Now we get the numbers in decimal form:
= 7.333333 = 7.3
= 7.3666666667 = 7.367
7.36 = 7.3636363636
= 7.3679949818 = 7.368
Now lets order the numbers from greatest to least:
7.36
So the correct option is:
Option 4
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Glorious Revolution of 1688-89 and his letter Concerning Toleration 1689