Answer:
Step-by-step explanation:
Answer:
x=5 x=3
Step-by-step explanation:
x^2 - 8x + 15 = 0
Factor
What 2 numbers multiply to 15 and add to -8
-5*-3 = 15
-5-3 = -8
(x-5)(x-3) =0
Using the zero product property
x-5 =0 x-3 =0
x=5 x=3
Answer: 0.4x = 3 is the answer
Step-by-step explanation:
The common denominator for 25 and 20 would be 100
25 x 4 = 100
20 x 5 = 100
Rewrite 14/25 as 14 x 4 / 25 x 4 = 56/100
Rewrite 11/20 as 11 x 5 / 20 x 5 = 55/100
14/25 is greater than 11/20
14/25 > 11/20
The height of the antenna on the roof of the local building is approximately 8 meters.
The situation forms a right angle triangle.
<h3>Properties of a right angle triangle:</h3>
- One of its angles is equals to 90 degrees
- The sides of the triangles can be calculated using Pythagoras theorem.
Therefore, let's find the height of the building and the radio antenna from the eye point.
Using trigonometric ratios,
tan 40° = opposite / adjacent
tan 40° = x / 25
where
x = the height of the building and the radio antenna from the eye point.
x = 25 tan 40
x = 25 × 0.83909963117
x = 20.9774907794 meters
Let's find the height of the building from his eye point.
tan 28° = y / 25
where
y = height of the building from his eye point
y = 25 × tan 28°
y = 25 × 0.53170943166
y = 13.2927357915 meters
Height of the antenna = 20.9774907794 - 13.2927357915 = 7.68475498786
Height of the antenna ≈ 8 meters
learn more on elevation here: brainly.com/question/17582385?referrer=searchResults
