Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish that triangle BCD is a right-angle triangle.
Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:
a^2 + b^2 = c^2
Where c = hypotenus of right-angle triangle
Where a and c = other two sides of triangle
Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:
Let a = BC
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
a^2 + 24^2 = 26^2
a^2 = 26^2 - 24^2
a = square root of ( 26^2 - 24^2 )
a = square root of ( 676 - 576 )
a = square root of ( 100 )
a = 10
Therefore, as a = BC, BC = 10.
If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:
a = BC = 10
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
10^2 + 24^2 = 26^2
100 + 576 = 676
676 = 676
FINAL ANSWER:
Therefore, BC is equivalent to 10.
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Thank you and have a lovely day! <3
Answer:
0.25in.
Step-by-step explanation:
5÷20=0.25in.
Answer:
b 120 cm
Step-by-step explanation:
Answer:
Where "h" is the height of the building.
Step-by-step explanation:
For this exercise it is important to read and analize carefully the information provided.
According to the data given in the exercise, the height of each floor the arquitect is designing is 12 feet.
You want to know the number of floors of 12 feet tall that building can have for a given building height.
Then, you can let "h" represents the height of the building. This will be the variable in the expression.
In order to find the number of those floors that the building can have for "h", you need divide this height by the height of each floor.
Therefore, you can determine that the expression asked in the exercise is the following:
Where "h" is the height of the building.
The answer is 11i because...
Square root of -121= square root of 121i = 11i
