Answer:
A
Step-by-step explanation:
Answer is C i know because 2+3 is 5
We need to write the expression <span>3(x + y) = 2y - x in a verbal sentence. We do as follows:
Three times the sum of x and y is equal to two times y minus x.
or
The sum of x and y multiplied by three is equal to the difference of two y and x.
or
Three quantity x plus y is equal to the product of two and y minus x.
or
Three multiplied by the sum of x and y is equal to two times y minus x.
Either of the statements I have written above would be correct and would mean the same equation.</span>
Answer:
Option (2) and Option (4)
Step-by-step explanation:
From the picture attached,
Length of ladder AC = 20 feet
Height of the highest point of the ladder from ground AB = 16 ft
By Pythagoras theorem,
AC² = BC² + AB²
BC² = AC² - AB²
BC = ![\sqrt{(20)^2-(16)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%2820%29%5E2-%2816%29%5E2%7D)
= ![\sqrt{400-256}](https://tex.z-dn.net/?f=%5Csqrt%7B400-256%7D)
= ![\sqrt{144}](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D)
= 12
Now, Sinθ = ![\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{AB}}{\text{AC}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%3D%5Cfrac%7B%5Ctext%7BAB%7D%7D%7B%5Ctext%7BAC%7D%7D)
= ![\frac{16}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B20%7D)
Cosθ = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{\text{BC}}{\text{AC}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%3D%5Cfrac%7B%5Ctext%7BBC%7D%7D%7B%5Ctext%7BAC%7D%7D)
= ![\frac{12}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B20%7D)
tanθ = ![\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{\text{AB}}{\text{BC}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D%3D%5Cfrac%7B%5Ctext%7BAB%7D%7D%7B%5Ctext%7BBC%7D%7D)
= ![\frac{16}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B12%7D)
Therefore, Option (2) and Option (4) are the correct options.