Answer:

![\sqrt[3]{0.95} \approx 0.9833](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B0.95%7D%20%5Capprox%200.9833)
![\sqrt[3]{1.1} \approx 1.0333](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1.1%7D%20%5Capprox%201.0333)
Step-by-step explanation:
Given the function: ![g(x)=\sqrt[3]{1+x}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B1%2Bx%7D)
We are to determine the linear approximation of the function g(x) at a = 0.
Linear Approximating Polynomial,
a=0
![g(0)=\sqrt[3]{1+0}=1](https://tex.z-dn.net/?f=g%280%29%3D%5Csqrt%5B3%5D%7B1%2B0%7D%3D1)

Therefore:

(b)![\sqrt[3]{0.95}= \sqrt[3]{1-0.05}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B0.95%7D%3D%20%5Csqrt%5B3%5D%7B1-0.05%7D)
When x = - 0.05

![\sqrt[3]{0.95} \approx 0.9833](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B0.95%7D%20%5Capprox%200.9833)
(c)
(b)![\sqrt[3]{1.1}= \sqrt[3]{1+0.1}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1.1%7D%3D%20%5Csqrt%5B3%5D%7B1%2B0.1%7D)
When x = 0.1

![\sqrt[3]{1.1} \approx 1.0333](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1.1%7D%20%5Capprox%201.0333)
Answer:
169.1 unit^2 to the nearest tenth.
Step-by-step explanation:
Area of the parallelogram = base * height
= 24 * 6 unit^2.
Area of the semicircle = 1/2 pi r^2.
Here r = 1/2 * 8 = 4.
So the area is 1/2 * pi * 4^2
= 8pi unit^2.
The area of the whole figure = 24*6 + 8pi
= 169.13 unit^2.
Answer: D: 17.3
Step-by-step explanation:
I believe its D because the house and the ground is a 90 degree angle, and at 60 degree angle is a 20 foot ladder. alright then 90 plus 60 = 150 degrees.
then add the twenty foot ladder with each choice for the answer:
A: 20 + 6.1 = 26.1
B: 20 + 10.0 = 30
C: 20 + 14.1 = 34.1
D: 20 + 17.3 = 37.3
The answer would be D because it is the closer number to 150. Because it says " which is the closest height up the house the ladder reaches?" The answer is D the closest number. I HOPE THIS HELPS YOU! =D
add the 2 numbers and then divide by 2