Answer:
Step-by-step explanation:
→ First understand what Pythagoras theorem is
Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.
→ State the formula and identify the letters
a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out
→ Substitute in the values into the formula
380² + 290² = c²
⇒ Simplify
144400 + 84100 = c²
⇒ Collect the numbers together
228500 = c²
⇒ Square root both sides to find 'c'
478.0167361 = c
→ The length of the diagonal is 478.02
Answer:
6+3x
Step-by-step explanation:
multiply each term in the parentheses by the outer term.
Answer:
127
Step-by-step explanation:
We started at 7
We keep going up 3
multiply
Now add 
at the 40th term
The simplification form of the provided expression is 108 after applying the integer exponent properties.
<h3>What is integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an expression:
= 108
Thus, the simplification form of the provided expression is 108 after applying the integer exponent properties.
Learn more about the integer exponent here:
brainly.com/question/4533599
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