Answer:
The average rate of change for f(x) from x=−1 to x = 4 is, 1
Step-by-step explanation:
Average rate A(x) of change for a function f(x) over [a, b] is given by:
As per the statement:
we have to find the average rate of change from x = -1 to x = 4
At x = -1
and
at x = 4
Substitute these in [1] we have;
⇒
⇒
Simplify:
A(x) = 1
Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1
x=9
Add 6 to both sides of the equation. x = 3 + 6
Add 3and 6.
x=9
A triangle with lengths 5, 12, and 13 is a Pythagorean triple
The approximate acute angles are 22.6° and 67.4°
Pythagorean triple
Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:
A triangle whose sides form a Pythagorean triple is called a right angle triangle.
The longest side is the hypotenuse side.
Therefore,
- 5² + 12²
- 25 + 144 = 169
- √169 = 13
Therefore,
5² + 12² = 13²
This means the triangle is a Pythagorean triple.
<h3>Acute angles</h3>
Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.
Therefore, let's find them
- tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
- 180 - 22.6 - 90 = 67.4°
learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults
Answer:
I think this is the correct solution
Answer:
120 degrees.
Step-by-step explanation:
All the angles in a triangle add up to 180. You have two of the angles given:
50 degrees and 70 degrees
To find the third angle of the triangle (BAC), use the expression:
180 - (50 + 70)
180 - 120
60
So, the third angle in the triangle is 60 degrees. Looking at angle DAB, you can see that it forms a straight line with angle BAC. A straight line is 180 degrees. Since we know BAC is 60, and BAC + DAB = 180, by doing 180 - 60, you can see that angle DAB is 120 degrees.
