Answer:
Bottom part = 10 * 12 = 120 square centimeters
Top part 8 * 6 = 48 square centimeters
Total Area = 168 square centimeters
Step-by-step explanation:
Answer:
n ≥ -9
Step-by-step explanation:
Let n = the number
8 <em>less than</em> a number means "n – 8", but
8 <em>less</em> a number means "8 – n," so
8 – n ≤ 17 Subtract 8 from each side
-n ≤ 9 Multiply each side by -1
n ≥ -9
<em>Note</em>: When we multiply by a negative number, we must reverse the inequality.
<em>Check:</em>
Try n = -8.
8 – (-8) ≤ 17
8 + 8 ≤ 17
16 ≤ 17
<em>True</em>.
Step-by-step explanation:
Since the sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1/3
d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6
Substitute the values into the above formula
That's
<h3>
</h3>
So the nth term of the sequence is
<h3>
</h3>
For a50 since we are finding the 50th term
n = 50
So we have
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
Answer:
x must be 5
Step-by-step explanation:
Recall that the area formula for a trapezoid is
A = (average of base lengths)(width)
Here we have
17 cm + x
(average of base lengths) = 11 cm = ----------------
2
So 2(11 cm) = 17 cm + x, or
22 cm = 17 cm + x
Then x must be 5.