Answer:
119 square units
Step-by-step explanation:
To find the area of a trapezoid, use this formula: (a+b)/2 * h
Substitute 24, 10, and 7 for a, b, and h, respectively.
((24 + 10)/2) * 7
<em>Step 1: Add 24 and 10 to get 34.</em>
(34/2) * 7
<em>Step 2: Divide 34 by 2 to get 17.</em>
17 * 7
<em>Step 3: Multiply 17 by 7 to get 119</em>
119
The area of this trapezoid is 119 square units.
11 cubic feet is the answer
Answer:
C-D = <u>6</u>
A-B = <u>3.25</u>
D = <u>118</u>
Step-by-step explanation:
C-D = 6 because the line is the same as B-C
A-B = 3.25 because the line is the same as A-D
D = 118 because the angle of B is vertically opposite to D
<span>a) Differentiate both sides of lnq − 3lnp + 0.003p=7 with respect to p, keeping in mind that q is a function of p and so using the Chain Rule to differentiate any functions of q:
(1/q)(dq/dp) − 3/p + 0.003 = 0
dq/dp = (3/p − 0.003)q.
So E(p) = dq/dp (p/q) = (3/p − 0.003)(q)(p/q) = (3/p − 0.003)p = 3 − 0.003p.
b) The revenue is pq.
Note that (d/dp) of pq = q + p dq/dp = q[1 + dq/dp (p/q)] = q(1 + E(p)), which is zero when E(p) = −1. Therefore, to maximize revenue, set E(p) = −1:
3 − 0.003p = −1
0.003p = 4
p = 4/0.003 = 4000/3 = 1333.33</span>
Answer:
x = 20
Step-by-step explanation:
These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).
3x - 10 + 5x + 30 = 180 add/subtract all like terms
8x + 20 = 180
8x = 160
x = 20 <--- This will be your answer
Hope it helps!
