Answer: 12
Step-by-step explanation:
I will assume those are coordinates.
The distance between 2 points is given by √ (x2 − x1)^2 + (y2 − y1)^2.
Replacing the values, we get √ (5 − 5)^2 + (6 − -6)^2 = √0+144 = 12
Answer:
2√3
Step-by-step explanation:
You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).
The magnitude of R is 2√3.
_____
In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...
Sin = Opposite/Hypotenuse
sin(30°) = √3/R
R = √3/sin(30°) = √3/(1/2) = 2√3
Of course, doing this on your calculator will give a numerical answer, which you may not want.
Answer:
YZ = 8.5
Step-by-step explanation:
Since RY is an angle bisector then the ratio of the sides of the triangle are equal to the corresponding ratio of the base, that is
=
, substitute values
=
( cross- multiply )
7YZ = 59.5 ( divide both sides by 7 )
YZ = 8.5
Answer:
Emily should use 160mL of oil
Step-by-step explanation:
If you only have 40mL of vinegar you would have to cut the recipe by 1.5
60/1.5=40
240/1.5=160