Answer:
The distance between zoo and library is 200 feet....
Step-by-step explanation:
Look at the picture. As the figure describes,
Let H denote the position of Helicopter.
Z denote the position of Zoo.
and L denote the position of library.
Hence, we will firstly find the distance between G and zoo and then we find the distance between G and library and subtract the first distance from second to obtain the distance between zoo and library.
In ΔHGZ.
tan 60°=HG/GZ
√3=100√3/GZ
Hence, GZ=100 feet.
Similarly in ΔHGL
tan 30°=HG/GL
1/√3=100√3/GL
GL=300 feet.
Hence, the distance between zoo and library is:
GL-GZ
=300-100
=200 feet.
Hence, the distance between zoo and library is 200 feet....
for the lines k (x) = (- 9 / 5) x + (5 / 2) and h (x) = (2 / 5) x - (7 / 6), the solution for x will be 5 / 3 and y will be - 1 / 2.
We are given the two lines:
k (x) = (- 9 / 5) x + (5 / 2)
h (x) = (2 / 5) x - (7 / 6)
At the intersection of the two lines, we get that:
(- 9 / 5) x + (5 / 2) = (2 / 5) x - (7 / 6)
(2 / 5) x + (9 / 5) x = (5 / 2) + (7 / 6)
(11 / 5) x = 11 / 3
3 x = 5
x = 5 / 3
y = (2 / 5) (5 / 3) - (7 / 6)
y = 2 / 3 - 7 / 6
y = - 1 / 2
Therefore, we get that, for the lines k (x) = (- 9 / 5) x + (5 / 2) and h (x) = (2 / 5) x - (7 / 6), the solution for x will be 5 / 3 and y will be - 1 / 2.
Learn more about lines here:
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Answer:
$50.40
Step-by-step explanation:
The garden has an area of ...
(15 ft)(12 ft) = 180 ft²
Amy wants to cover 1/4 of that with flowers, so the area devoted to flowers is ...
(1/4)(180 ft²) = 45 ft²
The cost for each square foot is $1.12, so the cost of the flowers will be ...
($1.12/ft²) × 45 ft² = $50.40 . . . . cost to cover 1/4 of the garden with flowers
The top answer on your screen is the answer. Hope this help
Answer: 8.3 ounces
Step-by-step explanation:
simple, there's a flat fee for 1 ounce, then 23 cents for each ounce following.
so $2 - $0.32 = $1.68
1.67 / 0.23 = 7.3 ounces
7.3 ounces + 1 ounces (from the flat fee we subtracted)
which equals 8.3
