Answer:
Step-by-step explanation:
2^3= 2*2*2= 8
8^1 = 8
these answers are equivalent
(2xy)^3= 2^3 * x^3* y^3= 8 x^3 y^3
2xy^3= (2xy)* (2xy)*(2xy)
equivalent as well
Answer:
How To Find The Area Of The Shaded Region?
Step 1: Find area of inner shape.
Step 2: Find area of outer shape.
Step 3: Area of shaded region = area of outer shape – area of inner shape
Example 2:
Find the area of the shaded region:
area of shaded region
Solution:
Step 1: Find area of inner square = 2 cm × 2 cm = 4 cm2
Step 2: Find area of outer shape = (2 cm × 3 cm) + (10 cm × 3 cm)
= 6 cm2 + 30 cm2
= 36 cm2
Step 3: Area of shaded region = area of outer shape – area of inner square
= 36 cm2 – 4 cm2
= 32 cm2
Step-by-step explanation: There you go :)
You have to use the Law of Sines to find K. But indirectly, since you haven't got an angle measure for K or a side measure of k. We have to find J and then use the Triangle Angle-sum theorem to find K.
![\frac{sin102}{17} = \frac{sinJ}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin102%7D%7B17%7D%20%3D%20%5Cfrac%7BsinJ%7D%7B10%7D%20)
. Solve for J to get J = 35.1. 180 - 102 - 35.1 = 42.9 so K is 42.9
Answer: weight of elephant has smaller percent error.
Step-by-step explanation:
Percent error = ![\dfrac{|\text{estimated value -actual value}|}{\text{actual value}}]\times100](https://tex.z-dn.net/?f=%5Cdfrac%7B%7C%5Ctext%7Bestimated%20value%20-actual%20value%7D%7C%7D%7B%5Ctext%7Bactual%20value%7D%7D%5D%5Ctimes100)
Estimated weight of elephant = 10,000 pounds
Actual weight of elephant = 12,400 pounds
Percent error of weight = ![\dfrac{|12400-10000|}{12400}\times100\%\approx19.35\%](https://tex.z-dn.net/?f=%5Cdfrac%7B%7C12400-10000%7C%7D%7B12400%7D%5Ctimes100%5C%25%5Capprox19.35%5C%25)
Estimated weight of hippopotamus = 2,500 pounds
Actual weight of hippopotamus = 3,600 pounds
Percent error of weight = ![\dfrac{|2500-3600|}{3600}\times100\%\approx30.55\%](https://tex.z-dn.net/?f=%5Cdfrac%7B%7C2500-3600%7C%7D%7B3600%7D%5Ctimes100%5C%25%5Capprox30.55%5C%25)
Since 19.35 < 30.55
hence, weight of elephant has smaller percent error.