Explain how to do this with the answer please
1 answer:
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Answer:
Increased amount is $0.115 and new price is $1.265.
Step-by-step explanation:
It is given that Sparkle King increased the price of a $1.15 cola by 10%.
Increased amount is 10% of $1.15.
Increased amount
So, increased amount is $0.115.
Now, new price is the sum of original price and increased amount.
New price
Therefore, the new price is $1.265.
Answer:
The correct option is commutative property.
Step-by-step explanation:
The expression that Renee is simplifying is:
It is provided that, Renee recognizes that 7 and are reciprocals, so she would like to find their product before she multiplies by
.
The associative property of multiplication states that:
The commutative property of multiplication states that:
The distributive property of multiplication states that:
The identity property of multiplication states that:
So, Renee should use the commutative property of multiplication to find the product of 7 and ,
Thus, the correct option is commutative property.
Answer:
1. The distance of the ship from the base of the lighthouse is approximately 1.24 miles
2. a)The horizontal distance the plane must start descending is approximately 190.81 km
b) The angle the plane's path will make with the horizontal is approximately 18.835°
3. The depth of the submarine is approximately 107.51 m
Step-by-step explanation:
The
1. From the question, we have;
The height of the observer above the water = 80 ft.
The angle of depression of the ship from the observer, θ = 0.7°
Let the position of the observer be 'O', let the location of the ship be 'S', let the point directly above the ship at the level of the observer be 'H', we have;
HS = The height of the observer = 80 ft.
Therefore, we get;
The distance of the ship from the base of the lighthouse ≈ 6,547.763 ft. ≈ 1.24 miles
2. The elevation of the plane, h = 10 km
The angle of the planes path with the ground, θ = 3°
Similar to question (1) above, the horizontal distance the plane must start descending, d = t/(tan(θ))
∴ d = 10 km/(tan(3°)) ≈ 190.81 km
The horizontal distance the plane must start descending, d = 190.81 km
b) If the pilot start descending 300 km from the airport, the angle the plane's path will make with the horizontal, θ, will be given as follows;
From trigonometry, we have;
Where the opposite leg length = The elevation of the plane = 10 km
The adjacent leg length = The horizontal distance from the airport = 300 km
The angle the plane's path will make with the horizontal, θ ≈ 18.835°
3. The angle at which the submarine makes the deep dive, θ = 21°
The distance the submarine travels along the inclined downward path, R = 300 m
By trigonometric ratios, we have;
The depth, of the submarine, 'd' is given as follows;
∴ d = R × sin(θ)
d = 300 m × sin(21°) ≈ 107.51 m
The depth of the submarine ≈ 107.51 m