Answer:
c² = n²
Step-by-step explanation:
Given the 2 equations
a² + b² = c² → (1)
a² + b² = n² → (2)
Substitute a² + b² = c² into (2)
c² = n²
The equation would be Y=3X+7. If you have any questions, please ask.
Answer:
900
Step-by-step explanation:
Margin of error = critical value × standard error
The margin of error is given to be 0.05.
At 99.5% confidence, the critical value is z = 3.
The standard error for a proportion is √(pq/n). Since p is not given, we will assume p = 0.5.
0.05 = 3 √(0.5 × 0.5 / n)
n = 900
Check the picture below.
notice AB ⟂ BC , whilst ∡B = 30°.
now, if we run a perpendicular line from C to AB, it'll be a 90° angle at M, however ∡AMC has to be 105°, so it has to be slanted more towards A, like in the picture, and surely you already know which one is the shortest.
If a number is 40% more than another number, we can say that the new number is equivalent to the sum of the old number and 40% of the old number. Let's try to represent this as an equation. First, let's convert the percentage to a fraction:

Defining
as the new number and
as the old number, we can say:

Also, we can say:

To solve, let's substitute the first equation into the second equation for
and simplify.


- Get terms over common denominator



We now have found the old number. Using the second equation we found near the beginning, let's find
.


The numbers are 35 and 49.