Answer:
Options 1, 3 and 4 are true
Step-by-step explanation:
The legs EF and DF of the right triangle DEF have lengths of 24 units and 7 units, respectively. By the Pythagorean theorem,
![DE^2=EF^2+DF^2\\ \\DE^2=24^2+7^2\\ \\DE^2=576+49\\ \\DE^2=625\\ \\DE=25\ units](https://tex.z-dn.net/?f=DE%5E2%3DEF%5E2%2BDF%5E2%5C%5C%20%5C%5CDE%5E2%3D24%5E2%2B7%5E2%5C%5C%20%5C%5CDE%5E2%3D576%2B49%5C%5C%20%5C%5CDE%5E2%3D625%5C%5C%20%5C%5CDE%3D25%5C%20units)
Find trigonometric functions:
![\sin \angle D=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}](https://tex.z-dn.net/?f=%5Csin%20%5Cangle%20D%3D%5Cdfrac%7B%5Ctext%7BOpposite%20leg%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%3D%5Cdfrac%7BEF%7D%7BDE%7D%3D%5Cdfrac%7B24%7D%7B25%7D)
![\cos \angle E=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}](https://tex.z-dn.net/?f=%5Ccos%20%5Cangle%20E%3D%5Cdfrac%7B%5Ctext%7BAdjacent%20leg%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%3D%5Cdfrac%7BEF%7D%7BDE%7D%3D%5Cdfrac%7B24%7D%7B25%7D)
![\tan \angle D=\dfrac{\text{Opposite leg}}{\text{Adjacent leg}}=\dfrac{EF}{DF}=\dfrac{24}{7}](https://tex.z-dn.net/?f=%5Ctan%20%5Cangle%20D%3D%5Cdfrac%7B%5Ctext%7BOpposite%20leg%7D%7D%7B%5Ctext%7BAdjacent%20leg%7D%7D%3D%5Cdfrac%7BEF%7D%7BDF%7D%3D%5Cdfrac%7B24%7D%7B7%7D)
![\sin \angle E=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{DF}{DE}=\dfrac{7}{25}](https://tex.z-dn.net/?f=%5Csin%20%5Cangle%20E%3D%5Cdfrac%7B%5Ctext%7BOpposite%20leg%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%3D%5Cdfrac%7BDF%7D%7BDE%7D%3D%5Cdfrac%7B7%7D%7B25%7D)
Thus, options 1, 3 and 4 are true
Answer:
a number divided by 4
Step-by-step explanation:
a number = n (it's a variable used in equations.)
so n over 4, or n divided by 4
Answer: ![(3\frac{1}{2}, -4)](https://tex.z-dn.net/?f=%283%5Cfrac%7B1%7D%7B2%7D%2C%20-4%29)
Step-by-step explanation:
The solution to the graph of a system of equations is where they intercept. Here, it is at about
.