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2 years ago

Find the area a polygon jklmno

Mathematics

1 answer:

Musya8 [376]2 years ago

4 0

Area of polygon = (number of sides × length of one side × apothem)/2

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Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0

3 years ago

Draw three circles with centre 0 and the radii of 3cm, 5cm and 7cm respectively

MrMuchimi

Ummm 48 cm ima be honest I need some points my fault

4 0

2 years ago

Solve for x.

PSYCHO15rus [73]

The answer is the first option: 1) $x$ > the quantity $4$ times $b$ minus $9$ all over $a$

The explanation is shown below:

1. To solve this problem you must pply the following proccedure:

2. Move the term $4b$ to the left member. As the variable is negative, multiply the expression by $-1$ and change the direction of the sign:

$-ax+4b>9\\ (-1) -ax>9-b4 (-1)\\ x>\frac{ab-9}{a}$

6 0

3 years ago

Express the function y=5x^2+15x-2 in vertex form

mina [271]

Y = 5(x+32)^2 − 53/4 (the / is for fraction)

4 0

3 years ago

PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!! QUESTION ATTACHED

DIA [1.3K]

Angle-5 and angle-7 are 'vertical angles', so they're equal,
and we can write ...
 10x- 9 = 9x

Subtract 9x from each side: x - 9 = 0

Add 9 to each side: x = 9

Now that we know what 'x' is, we can find the size of Angles-5 and -7 .

Angle-7 = 9x = 81° .

Now look at Angle-6 ... the one that's the answer to the problem.

Angle-6 and -7 together make a straight line, so they must
add up to 180°.

 Angle-6 + 81° = 180°

Subtract 81° from each side: Angle-6 = 99° .

4 0

3 years ago