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3 years ago

Which is the angle of depression from the boat to the submarine?

Mathematics

1 answer:

kakasveta [241]3 years ago

3 0

We know that

<span>If the slope of the angle from the vertex is positive, then it is an angle of elevation.</span>

<span>If the slope of the angle from the vertex is negative, then it is an angle of depression.</span>

The angle of elevation is congruent to the angle of depression because they are alternate interior angles

in the picture

∠ 1 is the angle of elevation from submarine to the boat

∠2 is the angle of depression from boat to submarine

∠3 is the angle of elevation from boat to the lighthouse

∠4.is the angle of depression from the lighthouse to the boat

therefore

the answer is

∠2 is the angle of depression from boat to submarine

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Zarrin [17]

Answer:

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3m and 5n are NOT like terms=true

these are the correct answers

Step-by-step explanation:

these are the wrong ones

a variable would be m or n

coefficients would be 3 and 5

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3 years ago

Which is the largest interval over which the function in the table is increasing?

Levart [38]

Answer:

Solution given:

y=-1/2 x²

for

f(x)=-1/2 x².

differentiating each term with respect to x

f'(x)=-x

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6 0

3 years ago

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The sum of the first 10 terms of an arithmetic sequence is 235 and the

Degger [83]

Answer:

$\bold{a_1 = -42.65}\\\\\bold{d=14.7}$

Step-by-step explanation:

The sum of the first 10 terms of an arithmetic sequence is:

$S_{10}=a_1+a_2+...+a_{10}=\dfrac{a_1+a_{10}}{2}\cdot10=\dfrac{2a_1+(10-1)d}{2}\cdot10$

$\dfrac{2a_1+(10-1)d}{2}\cdot10=235\\\\(2a_1+9d)\cdot5=235\\\\2a_2+9d=47$

the sum of the second 10 terms is: a₁₁ + a₁₂+...+ a₂₀

And the sum of the first 20 terms of an arithmetic sequence is:

$S_{20}=a_1+a_2+...+a_{10}+a_{11}+...+a_{20}=\dfrac{2a_1+(20-1)d}{2}\cdot10$

so the sum of the second 10 terms is:

$a_{11}+a_{12}+...+a_{20}=S_{20}-S_{10}$

Therefore we have:

$\dfrac{2a_1+(20-1)d}{2}\cdot10-\dfrac{2a_1+(10-1)d}{2}\cdot10=735\\\\(2a_1+19d)\cdot5-(2a_1+9d)\cdot5=735\\\\2a_1+19d-(2a_1+9d)=147\\\\10d=147\\\\d=14.7$

and:

$2a_1+9\cdot14.7=47\\\\2a_1+132.3=47\\\\2a_1=-85.3\\\\a_1=-42,65$

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3 years ago

There 7052 boys and adults at carnival. There are 756 fewer girls than adults. There is an equal number of girls and boys. How m

Vitek1552 [10]

Answer:

1512

Step-by-step explanation:

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3 years ago

A box is filled with 2 blue cards, 4 brown cards, and 6 yellow cards. A card is chosen at random from a box. What is the probabi

Finger [1]

Answer:

Therefore the probability that the card is not brown is $\frac12$ .

Step-by-step explanation:

Probability: Probability is the ratio of the favorable outcome to the total outcome.

$Probability =\frac{\textrm{Favorable outcome}}{\textrm {Total outcome}}$

Given that, a box contains 2 cards blue in color , 4 cards brown in color and 6 cards yellow in color.

Total number of cards= (2+4+6)=12

∴P(getting a brown card)

$=\frac{\textrm{No. of brown card}}{\textrm{Total no. of card}}$

$=\frac{6}{12}$

$=\frac12$

∴P(not getting a brown card)

=1 - P(getting a brown card)

$=1-\frac12$

$=\frac12$

Therefore the probability that the card is not brown is $\frac12$ .

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3 years ago

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