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3 years ago

The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?

Mathematics

1 answer:

kkurt [141]3 years ago

4 0

Answer: d. 2 divided by cot 40 degrees

Step-by-step explanation: in this right triangle, we are given an angle and the adjacent side of the angle. now we have to find for the length of the opposite side. the formula that relates these 3 variables is the tan function which states that:

tan θ = opposite side / adjacent side

where opposite side is the height of the sail

substituting the values into the formula:

tan (40) = height / 2

rearranging in terms of height:

height = 2 * tan (40)

since tan θ = 1 / cot θ, therefore:

height = 2 / cot (40)

GIVE BRAINLIEST

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Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle for 12,13,14,16

krek1111 [17]

Answer:

12=obtuse

13=right

14=not a triangle

16=acute

Step-by-step explanation:

6 0

3 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

3 years ago

5+5= plz help have to be complete awnser and i will give you crown

Black_prince [1.1K]

Answer:

it is 10

Step-by-step explanation:

because you can switch like 5x2 or 5+5

3 0

3 years ago

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If $176 is paid for 10 pounds of goods how much must be paid for 39 pounds

Ilya [14]

The answer should be 686.40

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3 years ago

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(x3 - 2x² - 1) + (x - 1)

SSSSS [86.1K]

Answer:

x^3 -2x^2 -1 + (x-1)

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3 years ago