Rewrite 6 2/3 as an improper fraction
2 answers:
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Answer:
19 years
Step-by-step explanation:
Initial height of tree when Samiya bought the tree = 3 inches
Growth in the height of tree every year = 5 inches
Number of years =
Growth in the height of tree in years = 5 inches multiplied by number of years
Growth in the height of tree in years = 5
inches
To find:
Number of years taken by the tree to be 8 ft or 96 inches.
Solution:
The equation for height of tree after years can be written as:
3 + 5 which is to be compared with 96 inches.
Therefore, the equation is:
Therefore, it will take <em>19 years</em> for the tree to reach a height of 96 inches.
a. See attachment for the labelled diagram
b. Using the sine ratio, distance from the hot air to pond A is 5,038.9 m, while distance from the hot air to pond B is 6,287.1 m.
c. Distance between the two ponds is 1,263.5 m.
<h3>What is the Sine and Tangent Ratios?</h3>Sine ratio, is: sin ∅ = opposite side/hypotenuse length
Tangent ratio is: tan ∅ = opposite side/adjacent length.
a. The diagram with the appropriate labels is shown in the image attached below.
b. Use the sine ratio to find the distance from the hot air to pond A (CA) and to pond B (CB):
CA = hypotenuse
∅ = 10°
Opposite = 875 m
sin 10 = 875/CA
CA = 875/sin 10
CA ≈ 5,038.9 m (distance from the hot air to pond A)
CB = hypotenuse
∅ = 8°
Opposite = 875 m
sin 8 = 875/CB
CB = 875/sin 8
CB ≈ 6,287.1 m (distance from the hot air to pond B)
c. Distance between the two ponds, BA = BD + DA.
Apply the tangent ratio to find BD and DA
tan 8 = 875/BD
BD = 875/tan 8
BD = 6,225.9 m
tan 10 = 875/DA
DA = 875/tan 10
DA = 4,962.4 m
Distance between the two ponds = 6,225.9 - 4,962.4 = 1,263.5 m.
Learn more about the sine and tangent ratios on:
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