Please help solve this

Answer:

Step-by-step explanation:

Assuming a flat earth

initial measurement

tan5 = 131 / d₁

d₁ = 131/tan5 = 1,497.3368... ft

d₂ = 131/tan21 = 341.2666674...ft

distance from A to B

1497.3368 - 341.26666 = 1,156.1 ft

Rather daring to specify to the answer to the nearest tenth of a foot when no given measurement accuracy is even close to that same precision.

Final answer:

This is a trigonometry problem that can be solved by using the tangent function to find the distances from the boat to the lighthouse at two different angles of elevation, and then subtracting to find the distance travelled by the boat.

Explanation:

This question involves the concept of trigonometry, specifically inverse trigonometric functions. We can solve it by creating two right triangles and using the trigonometric function known as tangent. Due to the nature of the problem, we will consider the lighthouse as the opposite side while the distance from the boat to the lighthouse will serve as the adjacent side.

When the boat is at point A, we can write the following equation using the tangent of 5° - tan(5°) = 131/DistanceA. Solve this equation to find DistanceA.

Next, do the same when the boat is at point B. The equation for this scenario is - tan(21°) = 131/DistanceB. Resolve this equation to find DistanceB.

The distance from point A to B (which is what the question asks for) is just the difference between DistanceA and DistanceB. Make sure to take the absolute value to avoid a negative distance, and round the result to the nearest tenth of a foot if necessary.

Learn more about Trigonometry here:

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Answer:

Sugar:

Honey:

Sugar substitute:

Step-by-step explanation:

35 + 14 + 21 = 70

35 out of 70 = 50%

14 out of 70 = 20%

21 out of 70 = 30%

Hope this helps!

Answer:

D

Step-by-step explanation:

For simplify the work we can start to factorise all the possibles expressions:

2x + 8.

8 is multiple of 2, so it can became

2(x+4)

x^2 - 16 this is a difference of two squares, so it can be rewritten as:

(x+4)(x-4)

x^2 + 8x + 16

we have to find two numbers whose sum is 8 and whose product is 16

the two number are 4 and 4

it becames:

(x+4)(x+4)

x+ 4 can‘t be simplified

if we look at the expression, we can find that x-4 appears at the numerator so

x^2 - 16 must be at numerator

but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option

in fact

(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)

it became

(x+4)(x-4)/2 * 1/(x+4)(x+4)

(x-4)/2(x+4)

Answer:

Step-by-step explanation:

I got 100% on the test

Answer:

nei prossimi giorni, che si è svolto il convegno