Answer:

Step-by-step explanation:
Using the Pythagorean theorem, you can find the length KP:
KP = √(45² -36²) = √729 = 27
The area of ALP is the same as the area of AKP:
(1/2)(KP)(KA) = (1/2)(27)(36) = 486 . . . . square units
Answer:
6.6
Step-by-step explanation:
brainliest
its me from the last question
Answer:
(a) 120 square units (underestimate)
(b) 248 square units
Step-by-step explanation:
<u>(a) left sum</u>
See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.
left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units
<u>(b) right sum</u>
The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...
right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units
Answer:
<em>4x^3(x^2 - 5)</em>
Step-by-step explanation:
First, try to factor a common factor.
GCF of 4 and -20 is 4.
GCF of x^5 and x^3 is x^3.
Factor out 4x^3.
4x^5 - 20x^3 =
= 4x^3(x^2 - 5)