When we are given a line cutting diagonally from one corner of a rectangle to the opposite corner, we are given two triangles.
300ft
____
| /|
| / |
| / |
| / |400ft
| / |
| / |
|/ |
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*not to scale
Now, using the right-angle trigonometry rule, we can find the hypotenuse (the diagonal line) which represents the footpath.
a^2 + b^2 = c^2
{where a is one side length, b is another side length, and c is the hypotenuse}
Thus, we make c the subject of the equation and substitute the other known values:
c^2 = 400^2 + 300^2
= 160,000 + 90,000
= 250,000
Now we move the 'squared' (^2) from the left hand side to the right hand side. When moving it across the equal sign (=) the result becomes the 'root' of itself:
c = _/250,000
= 500
Therefore, the length of the diagonal path is 500ft.
Daniel's age is X
Daniel's brother age is Y
X = 3 + ( 2Y )
Y = ( X - 3 ) / 2
In case of Daniel is 17
then his brother's age is = ( 17 - 3 ) / 2 = 7 years
Answer:
7.193 ft
Step-by-step explanation:
|\
| \
| \
| \
h | \ 10 ft
| \
| \
| 46° \
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For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.
sin A = opp/hyp
sin 46° = h/10
h = 10 sin 46°
h = 7.193
Answer: 7.193 ft
1) 6 positive
2) - $25 negative
3) -8 negative
4) 82 positive
To find out, graph them, analyze, and check.
Graph them.
You get the graph below.
Check the answers.
It looks like B matches.
So, the answer is B.
