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:
d = 6
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 23 and a₁₁ = 65 , then
a₁ + 3d = 23 → (1)
a₁ + 10d = 65 → (2)
Subtract (1) from (2) term by term to eliminate a₁
10d - 3d = 65 - 23
7d = 42 ( divide both sides by 7 )
d = 6
Answer:
I think its the 2nd
Step-by-step explanation:
its the one with 9 because what's listed on the number line is 2 and the other one is 2 because 9 squared is 3 and over 3 is 1.HOPE THIS HELPED
For A I think it should be 0.16 you just have to look at the chart
The vertex of the function f(x) = |x - a| is in (a, 0).
f(x) + a - shift the graph of function f(x) a units up.
Therefore:
The verex of y = |x + 5| is in (-5, 0).
The vertex of y + 7 = f(x) = |x + 5| + 7 is in (-5, 0 + 7) = (-5, 7).
