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3 years ago

The hypotenuse of a right triangle measures 15 cm and one of its legs

Mathematics

2 answers:

expeople1 [14]3 years ago

8 0

Answer:

14.1 I hope this helps! Brainliest please!

Step-by-step explanation:

So we use the Pythagorean theorem which is a squared + b squared = c squared. C is the hypotenuse. So we do:

15 squared - 5 sqaured = b squared

225 - 25 = b squared

200 = b squared

14.1 = b

andrew11 [14]3 years ago

6 0

Answer:

√200 or 14.1

Step-by-step explanation:

Pythagoras' Theorem: a²+b²=c²

Rearrange to get b² (one of the smaller sides): c²-a²=b²

225-25=200

√200 = 14.1

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What is the measure if each interior angle of a 15-gon

olya-2409 [2.1K]

Answer:

The sum of the interior angles of the 15-gon $=\:2340^0$

Each interior angle of the regular polygon $=\:156^0$

Step-by-step explanation:

As we know that

In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,

The number of triangles thus formed would always 2 LESS than the number of sides.

The sum of measure of the angles of any triangle is 180°.

Thus,

The sum of the interior angles of the 15-gon will be:

$13\:\times\:180\:=\:2340^0$

Also

15-gon is regular, it means this total $2340^0$ is shared in equal proportion among the 15 interior angles.

And

Each interior angle of the regular polygon will be: $\frac{2340^{0} }{15}=156^{0}$

Therefore, we conclude that:

The sum of the interior angles of the 15-gon $=\:2340^0$

Each interior angle of the regular polygon $=\:156^0$

Keywords: regular polygon, 15-gon, triangle

Learn more about polygon from brainly.com/question/11932357

#learnwithBrainly

3 0

3 years ago

I don’t know ans of 17 number say me answer

Ede4ka [16]

Area of the bigger rectangle =(18×8)cm

=144cm

Area of the smaller rectangle =((30−18)×(8−6))=(12×6)cm

=72cm

∴ Total area = area of smaller rectangle + area of bigger rectangle =(72+144)cm

=216cm

4 0

2 years ago

Read 2 more answers

Given h (x)=3x^2- 2x + 8 what is h (0)<br><br>Help quick!

fiasKO [112]

H(0)=8. You plug in zero for x you get y=8. So h(0)=8

7 0

3 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

3 years ago

Translate the folowing sentence into a equation. The quotient of a number and -2, less 10, is-18

Andrei [34K]

Answer:

x + (-2) - 10 = -18

Step-by-step explanation:

7 0

2 years ago