Which triangle is a 30°-60°-90° triangle?A. B. C. or D.
2 answers:
Answer:
option 1 is right.
Step-by-step explanation:
Given are five triangles and we have to find the triangle which has angles as 30, 60 and 90
We know that in a right triangle, sin 30 = 1/2
i.e. smaller length is 1/2 of hypotenuse.
Also II leg = hypotenuse sin 30 =
So the sides willbe in the ratio
when arranged from smaller to bigger
Compare the given triangle sides with this ratio
First triangle satisfies this with sides 5, 5 rt 3, and 10
Option 1 is right
II triangle satisfies these sides but angle does not appear to be 90 hence false
Option 3 is false because sides are in ratio 1:rt 3:3
Option 4 is wrong because sides are in ratio 1:2rt3:2
Option 5 is wrong because smaller side is not 1/2 of hypotenuse.
Hence only option 1 is right.
You might be interested in
Answer:
q =
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = , then
sin30° = =
=
( cross- multiply )
2q = 2 ( divide both sides by 2 )
q =
Answer:
The log-mean-temperature-difference is 24.03⁰C
Step-by-step explanation:
First we need to know if the heat exchanger is in parallel flow or counter-flow. However, counter flow arrangement is best used to recover heat.
L.M.T.D for counter flow is given as;
where;
Thf₁ is the initial temperature of the hot fluid = 80°C
Tcf₂ is the final temperature of the cold fluid = 51.5°C
Thf₁ - Tcf₂ = 80 - 51.5 = 28.5⁰C
Thf₂ is the final temperature of the hot fluid = 30°C
Tcf₁ is the initial temperature of the cold fluid = 10°C
Thf₂ - Tcf₁ = 30 - 10 = 20⁰C
Therefore, the log-mean-temperature-difference is 24.03⁰C