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3 years ago

9

A kite is flying at the end of a 20-meter string. If the string makes an angle of 55° with the ground, how many meters above the

ground, to the nearest meter, is the kite

1 answer:

Mama L [17]3 years ago

8 0

Answer:

Step-by-step explanation:

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Graph a line with a slope of -3 that contains the points (4,-2)

Lera25 [3.4K]

Answer:

see below for a graph

Step-by-step explanation:

To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.

__

For a graphing tool that requires an equation, the point-slope form of the equation can be used:

y -k = m(x -h) . . . . . a line of slope m through point (h, k)

For the given slope and point, the equation of the line is ...

y +2 = -3(x -4)

y = -3x +10

_____

* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.

3 0

3 years ago

Dy/dx = y/x , y(1) = −2

s2008m [1.1K]

Start with

$\dfrac{dy}{dx}=\dfrac{y}{x}$

Separate the variables:

$\dfrac{dy}{y} = \dfrac{dx}{x}$

Integrate both parts:

$\displaystyle \int \dfrac{dy}{y} = \int\dfrac{dx}{x}$

Which implies

$\log(y) = \log(x)+c$

Solving for y:

$y = e^{\log(x)+c} = e^{\log(x)}e^c=xe^c$

Since $e^c$ is itself a constant, let's rename it $c_1$ .

Fix the additive constant imposing the condition:

$y(1) = c_1\cdot 1 = -2\iff c_1=-2$

So, the solution is

$y(x) = -2x$

5 0

3 years ago

Solve for x PLEASE HELP I've been stuck for about a hour on this

Naily [24]

Answer:

C) 5

Step-by-step explanation:

As the horizontal lines are parallel, the ratio of the segments will be constant.

3/(3 + 4) = (x - 1)/14

3(14) = 7(x - 1)

42 = 7x - 7

7x = 35

x = 5

6 0

3 years ago

Country is 15% what do you do?

boyakko [2]

The answer to your question is 39
This is because you do 15%*260

3 0

3 years ago

Prove using the Pythagorean theorem that AC is perpendicular to AB given points ????(−2, −2), ????(5, −2), and

Tems11 [23]

Answer:

$(BC)^2=(AC)^2+(AB)^2$ . It means AC is perpendicular to AB.

Step-by-step explanation:

Vertices of given triangle are A(−2, −2), B(5, −2), and C(−2,22).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula we get

$AB=\sqrt{(5-(-2))^2+(-2-(-2))^2}=\sqrt{7^2}=7$

$BC=\sqrt{(-2-5)^2+(22-(-2))^2}=\sqrt{7^2+24^2}=\sqrt{625}=25$

$AC=\sqrt{(-2-(-2))^2+(22-(-2))^2}=\sqrt{24^2}=24$

According to Pythagoras theorem

$hypotenuse^2=perpendicular^2+base^2$

$(BC)^2=(AC)^2+(AB)^2$

Perpendicular = AC

Base = AB

It means AC is perpendicular to AB.

Hence proved.

5 0

3 years ago