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3 years ago

8

A ship has a 15-foot-tall mast with a 37.13-foot-long rope that is strung from the top of the mast to the ship's deck. What is t

he angle of elevation to the top of the mast?

1 answer:

Alex Ar [27]3 years ago

4 0

Answer:

Approximately 24 degrees

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Order the group of parabolas from widest to narrowest.

Mamont248 [21]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2,\ y=-\dfrac{1}{2}x^2,\ y=\dfrac{3}{2}x^2}$

Step-by-step explanation:

The equation of a parabola: y = ax²

The larger the value of |a|, the narrower the parabola.

We have the following coefficients a:

$\left|\dfrac{1}{4}\right|=\dfrac{1}{4},\ \left|-\dfrac{1}{2}\right|=\dfrac{1}{2},\ \left|\dfrac{3}{2}\right|=\dfrac{3}{2},$

We arrange the coefficients from the smallest to the largest:

$\dfrac{1}{4}\$

Therefore you have the answer:

$y=\dfrac{1}{4}x^2,\ y=-\dfrac{1}{2}x^2,\ y=\dfrac{3}{2}x^2$

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3 years ago

Which function is the inverse of f(x) = 2x + 3?

Gnesinka [82]

Answer:

f(x inv)=-1/2x-3

Step-by-step explanation:

You pretty much just have to flip all the numbers to fractions and all the positives to negatives.

6 0

3 years ago

Solve the system of equations by graphing on your own paper. Write the

Verdich [7]

Answer:

(9, -1)

Step-by-step explanation:

7 0

3 years ago

Expand and simplify bracket please quickly

natulia [17]

Answer:

4y²-1/4 is the required answer

Step-by-step explanation:

$(2y - \frac{1 }{2} )(2y + \frac{1}{2} ) \\ using \: formula \: {x}^{2} - y {}^{2} = (x - y)(x + y) \\ 4y {}^{2} - \frac{1}{4}$

4 0

2 years ago

(0,4)<br> (3,-2)<br><br> The slope is m<br> and the y-intercept is b =

Rudiy27

Answer:

m = -2

y-intercept = 4

Step-by-step explanation:

m = y2-y1/x2-x1

so

m = -2-4/3-0

=-2

y=mx+b

Substitute the coordinates into the equation to find b

4=-2(0)+b

4=b

so y intercept is 4

y=-2x+4

5 0

3 years ago