Answer:
in what time will 24000 amount to rs.30000 at 10% p.a?
Answer:
segment EF over segment LM equals segment FG over segment MN
Step-by-step explanation:
The triangles are similar, not congruent, so any answer choice with the word "congruent" can be ignored.
The sequence of letters in the triangle name tells you the corresponding segments:
- EF corresponds to LM
- EG corresponds to LN
- FG corresponds to MN
Corresponding segments have the same ratio, so ...
EF/LM = FG/MN . . . . . . matches the first answer choice
EF/LM = EG/LN . . . . does not match the 3rd answer choice
64 inches is greater than 5ft. There are 12 inches in a foot. You should divide 64 by 12. You will get 5.333 (repeating, in this instance we will round up to 5.4)
Answer:
![\Huge\boxed{x=33.2}](https://tex.z-dn.net/?f=%5CHuge%5Cboxed%7Bx%3D33.2%7D)
Step-by-step explanation:
Hello there!
We can solve for x using law of sines
As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)
So we can use this equation to solve for x
![\frac{21}{sin(35)} =\frac{x}{sin(65)}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7Bsin%2835%29%7D%20%3D%5Cfrac%7Bx%7D%7Bsin%2865%29%7D)
Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)
![\frac{x}{sin(65)} sin(65)=x\\\\\frac{21}{sin(35)} sin(65)=\frac{21sin(65)}{sin(35)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bsin%2865%29%7D%20sin%2865%29%3Dx%5C%5C%5C%5C%5Cfrac%7B21%7D%7Bsin%2835%29%7D%20sin%2865%29%3D%5Cfrac%7B21sin%2865%29%7D%7Bsin%2835%29%7D)
we're left with
![x=\frac{21sin(65)}{sin(35)}\\x=33.18208755](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B21sin%2865%29%7D%7Bsin%2835%29%7D%5C%5Cx%3D33.18208755)
assuming we have to round the answer would be 33.18 or 33.2
Answer:
![L(x)=1+\dfrac{1}{3}x](https://tex.z-dn.net/?f=L%28x%29%3D1%2B%5Cdfrac%7B1%7D%7B3%7Dx)
![\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,![L(x)=f(a)+f'(a)(x-a)](https://tex.z-dn.net/?f=L%28x%29%3Df%28a%29%2Bf%27%28a%29%28x-a%29)
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)
![g'(x)=\frac{1}{3}(1+x)^{-2/3} \\g'(0)=\frac{1}{3}(1+0)^{-2/3}=\frac{1}{3}](https://tex.z-dn.net/?f=g%27%28x%29%3D%5Cfrac%7B1%7D%7B3%7D%281%2Bx%29%5E%7B-2%2F3%7D%20%5C%5Cg%27%280%29%3D%5Cfrac%7B1%7D%7B3%7D%281%2B0%29%5E%7B-2%2F3%7D%3D%5Cfrac%7B1%7D%7B3%7D)
Therefore:
![L(x)=1+\frac{1}{3}(x-0)\\\\$The linear approximating polynomial of g(x) is:$\\\\L(x)=1+\dfrac{1}{3}x](https://tex.z-dn.net/?f=L%28x%29%3D1%2B%5Cfrac%7B1%7D%7B3%7D%28x-0%29%5C%5C%5C%5C%24The%20linear%20approximating%20polynomial%20of%20g%28x%29%20is%3A%24%5C%5C%5C%5CL%28x%29%3D1%2B%5Cdfrac%7B1%7D%7B3%7Dx)
(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
![L(-0.05)=1+\dfrac{1}{3}(-0.05)=0.9833](https://tex.z-dn.net/?f=L%28-0.05%29%3D1%2B%5Cdfrac%7B1%7D%7B3%7D%28-0.05%29%3D0.9833)
![\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
![L(1.1)=1+\dfrac{1}{3}(0.1)=1.0333](https://tex.z-dn.net/?f=L%281.1%29%3D1%2B%5Cdfrac%7B1%7D%7B3%7D%280.1%29%3D1.0333)
![\sqrt[3]{1.1} \approx 1.0333](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1.1%7D%20%5Capprox%201.0333)