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Fantom [35]
2 years ago
5

Calculate the angle of depression from the

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
6 0

Answer:

angle of depression ≈ 53.8°

Step-by-step explanation:

the angle of depression is the measure of the angle from the horizontal downwards from the top of the flag pole.

this angle is alternate to ∠ A and is congruent to ∠ A

using the sine ratio in the right triangle

sin A = \frac{opposite}{hypotenuse} = \frac{25}{31} , then

∠ A = sin^{-1} ( \frac{25}{31} ) ≈ 53.8° ( to 1 d.p )

Angle of depression ≈ 53.8°

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We probably couldn't go to all the stars because they're too far away. It would take a long time to get there.
Dvinal [7]

Answer:

The correct answer is B. Contain generalizations and contractions.

Step-by-step explanation:

A generalization occurs when a specific idea is applied to a general category, in simple terms it occurs if a person states something always occur because this person saw it once. In this case, generalization occurs as this person affirms all stars are too far away and thus it will take a long time to get to those stars, however not all stars are as far away as this person believes and this does not mean it will take a long time to get there as new technology can be created, thus, this statement is not true and need revision. On the other hand, contractions refers to the process of shortening words by putting them together, this can be seen in "couldn't" ( could + not) and  "they're" (they + are), contradictions are not correct as they should not be used in formal language and be avoided, thus, contradictions also need to be revised.

4 0
3 years ago
Which statement is true?
sweet-ann [11.9K]

Answer:

D

Step-by-step explanation:

so by process of elimination it can’t be A as it is a 7hr journey

B is also incorrect as she travels 50mph not an additional 50miles per hour (50m in hour one then 100m in hour 2 )

C is also incorrect as she travels 50 miles in ann hour not in 6

D is correct as she has travelled 200 miles


3 0
4 years ago
If f(x) = x^4-x^3+x^2 and g(x)= -x^2, where x does not = 0, what is (f/g)(x)?
Korvikt [17]

For this case we have the following functions:

f (x) = x ^ 4-x ^ 3 x ^ 2\\g (x) = - x ^ 2

By definition of composition of functions we have to:(f \ g) (x) = \frac {f (x)} {g (x)}

So:

\frac {f (x)} {g (x)} = \frac {x ^ 4-x ^ 3 x ^ 2} {- x ^ 2} = \frac {x ^ 4} {- x ^ 2} +\frac {-x ^ 3} {- x ^ 2}+ \frac {x ^ 2} {- x ^ 2} =

By definition of division of powers of the same base we have to place the same base and subtract the exponents:

\frac {f (x)} {g (x)} = - x ^ 2+x-1

ANswer:

(\frac {f} {g}) (x) = - x ^ 2 +x-1

3 0
3 years ago
Please help I need to turn this in today.
Bogdan [553]

Answer:

C

Step-by-step explanation:

If you have a Ti-84 series calculator, press "stat" then "Edit..." and then fill in the data table values for x and y in two lists. Then press "2nd" and "mode" to quit. Now press "stat" again and right arrow over to "calc" and press down until you find "ExpReg" and set the "Xlist" and "Ylist" that you used and you will get C as the answer. Another way to do this is to manually substitute values into all 4 equations, which is boring.

8 0
2 years ago
The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati
Ksivusya [100]
<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

                    \dfrac{24}{25}

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

Perimeter=2(L+B) )

Hence, we get:

Perimeter\ of\ R=2(5x)

i.e.

Perimeter\ of\ R=10x

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

and

\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

and

\text{Area\ of\ Rectangle}=2x\times 3x

i.e.

\text{Area\ of\ Rectangle}=6x^2

Hence,

Ratio of the area of region R to the area of region S is:

=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

6 0
3 years ago
Read 2 more answers
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