Answer:
thank you for a giveaway maate
First you write it as a fraction as
16/28 and 240/560
240/560 can be simplified to 27/28
16/28 is not equivalent to 27/28
Hope this helps ;)
Answer: y=4x-2
Step-by-step explanation:
Use the y=mx+b template to write the equation out. M is the slope which should be in front of x. This is why y=4x-2 is correct
Given:
A figure of a right triangle with perpendicular 500 m and hypotenuse x.
To find:
The value of x.
Solution:
If a transversal line intersect two parallel lines, then alternate interior angles are congruent.
Using the above definition the measure of angle opposite to the perpendicular is 40 degrees.
In a right angle triangle,
![\sin \theta =\dfrac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%5Cdfrac%7BPerpendicular%7D%7BHypotenuse%7D)
In the given triangle,
![\sin 40^\circ =\dfrac{500}{x}](https://tex.z-dn.net/?f=%5Csin%2040%5E%5Ccirc%20%3D%5Cdfrac%7B500%7D%7Bx%7D)
![x=\dfrac{500}{\sin 40^\circ }](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B500%7D%7B%5Csin%2040%5E%5Ccirc%20%7D)
![x=\dfrac{500}{0.6427876}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B500%7D%7B0.6427876%7D)
![x=777.8619](https://tex.z-dn.net/?f=x%3D777.8619)
Round the value to the nearest tenth.
![x\approx 777.9](https://tex.z-dn.net/?f=x%5Capprox%20777.9)
Therefore, the value of x is 777.9 m.
Answer: 45,000.
Step-by-step explanation:
The equation of inverse variation is given by:-
![k=xy](https://tex.z-dn.net/?f=k%3Dxy)
, where k is the constant of proportionality.
Given: After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.
Here,
![x_1=3,\ y_1=15000\\\\x_2=5,\ y_2=9000](https://tex.z-dn.net/?f=x_1%3D3%2C%5C%20y_1%3D15000%5C%5C%5C%5Cx_2%3D5%2C%5C%20y_2%3D9000)
Then, ![k=x_1y_1=3\times15000=45,000](https://tex.z-dn.net/?f=k%3Dx_1y_1%3D3%5Ctimes15000%3D45%2C000)
or
[answer is same in both cases.]
Hence, the constant of proportionality in this inverse variation is 45,000.