We have P = 3 x a (the formula of the perimeter); 26 = 3 x a ; we obtain a = 26/3;
Then, we have <span>the Pythagorean Theorem in one of two rectangular and congruent triangles :</span>
h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 =<span> 3a²/4</span>
It follows that
h = √(3a²/4) = a√3/2 ≈ 0,866*a ≈ 7,5 centimeter.
Answer:
jiri's age is 66 years old
Step-by-step explanation:
76-10= 66 years old
Answer:
.
Step-by-step explanation:
Answer:
Option D
Step-by-step explanation:
Given:
- Center point: (-5, 4)
- Radius: 7
<u>Formula:</u>
Equation of circle: (x - h)² + (y - k)² = r²
[Where (h, k) is the center point and "r" is the radius of the circle]
<u>Substitute the coordinates of the center point in the formula:</u>
Given center point: (-5, 4)
∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4
- ⇒ (x - h)² + (y - k)² = r²
- ⇒ [x - (-5)]² + [y - 4]² = r²
<u>Substitute the radius in the formula:</u>
Given radius: 7
- ⇒ [x - (-5)]² + [y - 4]² = r²
- ⇒ [x - (-5)]² + [y - 4]² = (7)²
<u>Simplify both sides of the equation:</u>
- ⇒ [x + 5]² + [y - 4]² = (7)(7)
- ⇒ [x + 5]² + [y - 4]² = 49 <u>(Option D)</u>
Therefore, Option 4 is correct.
