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3 years ago

the interior angle of a regular hexagon is 120° work out the sum of the six reflex angles at the vertices of a regular hexagon

Mathematics

1 answer:

olga2289 [7]3 years ago

8 0

Answer:

I'm not 100% sure but isn't a reflex angle the difference between the angle and 360°?

Then 360° - 120° = 240°

240° x 6 = 1440°

Step-by-step explanation:

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

1. Which expressions are equivalent to -3(x - y)? Select all that apply. A. -3x + 3y B. -3x - 3y C. -3x - y D. -3x + -3y E. 3y -

Inessa [10]

Answer:

A and E

Step-by-step explanation:

-3(x - y) = -3x + 3y = 3y - 3x

A. E

8 0

3 years ago

Y=-x+2 <br> y=-5x-6 <br> What is y and x

tatyana61 [14]

To solve this system of equations, since y is already isolated in both equations, you can set the expressions to equal each other to solve for x:

-x + 2 = - 5x - 6
-x + 5x = -6 - 2
4x = -8
x = -2

Now that we have x, we can substitute it into one of the equations to find y:

y = -(-2) + 2
y = 2 + 2
y = 4

The last step is to substitute both values into both equations to see if they are correct:

4 = -(-2) + 2 --> 4 = 2 + 2 <--True
4 = -5(-2) - 6 --> 4 = 10 - 6 <--True

Answer:
x = -2
y = 4

6 0

4 years ago

Two planes that have a line in common are called

natima [27]

Answer:

they would be intersecting lines

Step-by-step explanation:

brainly crown apricated if I'm right

7 0

3 years ago

What is the slope in the equation y = 2x + 3

Neko [114]

The slope is 2 and the intercept is -3

3 0

2 years ago