Step-by-step explanation:
Here with reference angle 45°
Hypotenuse ( h) = y
Perpendicular (p) = x
base (b) = 5√2
We know
tan 45° = p/b
1 = x / 5√2
Therefore x = 5√2
Now
h = √(5√2)^2 + 5√2)^2
= √ 50 +50
= √100
= 10
Hope it helped
Answer:
C
Step-by-step explanation:
x² + 6x = 18
To complete the square, take the coefficient of the x term, halve it, square the result, then add to both sides.
(6/2)² = 3² = 9
x² + 6x + 9 = 18 + 9
(x + 3)² = 27
x + 3 = ±√27
x = -3 ± √27
The location of the fountain as described in the task content is; (-1, -0.5).
<h3>What is the location of the Fountain?</h3>
According to the task content, the locations of Fernando and Maria are given as; (-4, -2) and (4,2) respectively and the ratio of division is expected to be; 5: 3.
Hence, the coordinates of the fountain can be evaluated as;
x = (4) - (4-(-4)) × (5/8) = -1.
y = 2 - (2-(-2)) × (5/8) = -0.5
Hence, it follows that the coordinates of the fountain location is; (-1, -0.5) since the fountain is closer to Fernando than Maria.
Read more on dividing lines by ratios;
brainly.com/question/21108138
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