Step-by-step explanation:
Turn the ratio into a fraction
2in /25 mi
You want to have miles so you can flip the fraction and mutiply to cancel out the inches
(25mi / 2in) x 5in = (25 mi x 5in) / 2in
Answer: 43.6 (Rounded to the tenth)
Explanation: Use the method of: SOH CAH TOA.
Using TOA, T = Tangent.
tan(71) = x/15. Using the butterfly method you can just do the following equation:
15 tan(71) = 43.56 (Rounded to tenth) —> 43.6
Answer:
.66 cu. meters
Step-by-step explanation:
volume for cone is V=1/3 x TT x r^2 x height
TT (pi) is 3.14
radius is 1/2 of diameter (1/2 x 1.5 = .75 )
height is 1.5 x radius (1.5 x .75 = 1.125)
V= 1/3 x 3.14 x .75^2 x 1.125
V= .66 cu. meters
Alright, lets get started.
Lets check each possible answer one by one.
We will start from option B.
BC is from small triangle and its corresponding side is DF, so its ratio will be
not
as given in option. Hence option B is incorrect.
For option C,
Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.
For option D,
Angle c° and angle f° are similar angles so, their ratio will be
. Hence option D is incorrect.
Now option A,
ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be
. Hence option A is correct answer.
Hope it will help :)