The two triangles shown are congruent. Find the value of x
1 answer:
Answer:
x = 11
Step-by-step explanation:
right triangle ABC
using Pythagoras' identity
BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
BC = = 25
Since the triangles are congruent then corresponding sides are congruent.
ST = BC , that is
3x - 8 = 25 ( add 8 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11
You might be interested in
Answer:
The solar panel produce 6.48 × 10⁶ J of energy each day.
Step-by-step explanation:
If the solar cells were 100% efficient and generate 1000 watts of power per square meter
The power generated per square meter will be
= 1000 watts/m²
This is the power that would be generated per square meter if the solar cells were 100% efficient.
Now, for a 1 square meter panel of solar cells with an efficiency of 30%, the power generated will be
= 300 watts
This is the power that would be generated by a 1 square meter panel of solar cells with an efficiency of 30%
Now, to determine the energy in joules (J) that the solar panel produce each day
We can determine the energy from the formula
Energy = Power × time
From the question, the solar cells receives the equivalent of 6 hours of direct sunlight per day, that is
Time = (6 × 60 × 60) secs = 21600 secs
Hence,
Energy = 300 watts × 21600 secs
Energy = 6480000 Joules
Energy = 6.48 × 10⁶ J