Answer: The percentage reduction will be 7%.
Step-by-step explanation:
The following information can be depicted:
Price of new car = 12500
New price after the reduction =11625
The percentage reduction will be:
= [(12500 - 11625) / 12500] × 100
= 875/12500 × 100
= 7%
Therefore, based on the computation that has been done above, the percentage reduction will be 7%.
Answer:
The exact value of cotФ is
Step-by-step explanation:
Given as:
The value of cosec Ф = ![\frac{-4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B3%7D)
Let the value of cotФ = x
Now, According to question
∵ sinФ =
.....1
Put the value of cosec Ф =
in eq 1
i.e sinФ = ![\frac{1}{\frac{-4}{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Cfrac%7B-4%7D%7B3%7D%20%7D)
Or, sinФ = ![\frac{-3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B4%7D)
<u>Again</u>
∵ cosФ = ![\sqrt{1-sin^{2}\Theta }](https://tex.z-dn.net/?f=%5Csqrt%7B1-sin%5E%7B2%7D%5CTheta%20%7D)
So, cosФ = ![\sqrt{1-(\frac{-3}{4})^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B1-%28%5Cfrac%7B-3%7D%7B4%7D%29%5E%7B2%7D%7D)
Or, cosФ = ![\sqrt{1-(\frac{9}{16})}](https://tex.z-dn.net/?f=%5Csqrt%7B1-%28%5Cfrac%7B9%7D%7B16%7D%29%7D)
Or, cosФ = ![\sqrt{\frac{16 - 9}{16})}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B16%20-%209%7D%7B16%7D%29%7D)
∴ cosФ = ![\frac{\sqrt{7}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D)
<u>Again</u>
we know that cotФ = ![\frac{cos\Theta }{sin\Theta }](https://tex.z-dn.net/?f=%5Cfrac%7Bcos%5CTheta%20%7D%7Bsin%5CTheta%20%7D)
So, cotФ = ![\frac{\frac{\sqrt{7}}{4}}{\frac{-3}{4}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D%7D%7B%5Cfrac%7B-3%7D%7B4%7D%7D)
Or, cotФ = ![\frac{-\sqrt{7}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Csqrt%7B7%7D%7D%7B3%7D)
As according to question sinФ lies in third quadrant
So, cotФ = ![\frac{\sqrt{7}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B3%7D)
Hence, The exact value of cotФ is
. Answer
Answer:
Any Number
Step-by-step explanation:
g(x) can be any number greater or smaller than f(x) by the value of k - and so whatever k is, is how to make f turn to g.
Answer:
The answer is
<h2>y = - 5x - 9</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is y = - 5x + 27
Comparing it with the general equation above
Slope = - 5
Since the lines are parallel their slope are also the same
Slope of parallel line = - 5
So the equation of the line using point
(-2,1) and slope - 5 is
y - 1 = - 5( x + 2)
y - 1 = - 5x - 10
y = - 5x - 10 + 1
We have the final answer as
<h3>y = - 5x - 9</h3>
Hope this helps you
Answer:
8
Step-by-step explanation:
radical form conversion uses the equation: ![\alpha ^\frac{z}{n} = `^n\sqrt{a^x}](https://tex.z-dn.net/?f=%5Calpha%20%5E%5Cfrac%7Bz%7D%7Bn%7D%20%3D%20%20%60%5En%5Csqrt%7Ba%5Ex%7D)
Use the rule to convert 4^3/2 to a radical, where a = 4, x = 3, and n = 2
![\sqrt{4^3}](https://tex.z-dn.net/?f=%5Csqrt%7B4%5E3%7D)
simplified, your answer is 8
hope this helps:)