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2 years ago

10

From a plane flying due east at 265m above above sea level, the angle of depression from the plane to a ship is 25 degrees. How

far is the plane from the ship? Round to the nearest tenth of a foot.

1 answer:

Artyom0805 [142]2 years ago

8 0

627.0m the process is shown in the following picture.

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You are going to visit your aunt who lives 25 miles away . You have already traveled 7.7 miles. What percentage of the trip is s

8_murik_8 [283]

Answer:

30.8%

Step-by-step explanation:

To figure this out, set up an equation. 7.7/25 = x/100. This is because 7.7 miles out of 100 is equal to some percentage of 100. Then, solve by simplifying both sides and isolating the variable of x.

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3 years ago

What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?

allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

y - 50 = 0(x - 25)

or, y - 50 = 0,

or, y = 50.

Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

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2 years ago

Given ΔABC with A(–4, –2), B(4, 4), and C(18, –8), write the equation for the line containing median segment The term is line se

Monica [59]

Here we want to find the equation of the line containing the median CP.

P, being the midpoint of AB can be found using the midpoint formula as:

$\displaystyle{ P=( \frac{-4+4}{2} , \frac{-2+4}{2} )=(0, 1)$ .

The slope m of the line through CP can be found by the slope formula using points C(18, -8) and P(0, 1):

$\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{-8-1}{18-0}= \frac{-9}{18}= \frac{-1}{2}$ .

Now, we can write the equation of the line with slope -1/2, passing through
P(0, 1):

$y-1= \frac{-1}{2}(x-0)\\\\y= -\frac{1}{2}x+1$ .

Answer: $y=-\frac{1}{2}x+1$

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3 years ago

Write the quadratic function f(x) = (3-x)2 in standard form.

Nitella [24]

Answer:

$y = - 2x + 6$

Step-by-step explanation:

$since \: f(x) = y \\$

then the equation reads:

$y = (3 - x)2 \\ y = 6 - 2x \\$

The standard form of an quadratic function is:

$y = mx + c \\$

So the answer is:

$y = mx + c \\ y = - 2x + 6$

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2 years ago

Two points A and B whose heights differ by 10 metres are shown 1.2 cm apart horizontally on a map whose scale is 1: 10 000. a) W

PSYCHO15rus [73]

Answer:

120 meters

Step-by-step explanation:

1.2 x 10 000 = 12000 cm = 120 meters

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2 years ago

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