Convert 15 kilograms to pounds.

ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.

Setler79 [48]

Answer:

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

$a=12m;\ b=15m;\ c=9m$

Calculate:

$p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)$

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

$9m < 12m$

Check:

$9^2+12^2=81+144=225\\15^2=225$

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

$A=\dfrac{ab}{2}$

Substitute:

$A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)$

6 0

3 years ago

Question 2 (essay worth 10 points)

Sliva [168]

The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is {JPR, JRP, PJR, PRJ, RJP, RPJ}.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Minni is arranging 3 different music CDs in a row on a shelf.

Three CDs are a jazz cd (j), a pop cd (p), and a rock cd (r).

The sample space means all the possible ways to arrange the CDs.

Total arramgement = 3! = 3×2×1 = 6

The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is:

{JPR, JRP, PJR, PRJ, RJP, RPJ}

Thus, the sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is {JPR, JRP, PJR, PRJ, RJP, RPJ}.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ1

4 0

2 years ago

Write an equation y is 20% what is x

lisabon 2012 [21]

Answer:

x + .20 = 1

Step-by-step explanation:

The equation would be x + .20= 1, or 1.00, because if you turn 20% into a decimal, it becomes .20. The total you are trying to find is 1 whole, in which this case it would simply be one as there is no other information. The x is first as if you had the .20 first, you would have to divide each side by .20, which would make x = 5, and that would not make sense.

Finding X: To find, subtract on each side by .20 due to the fact you are adding and need to do the opposite, .20-.20 cancels out and 1.00-.20 is .80, so you are left with x=.80

4 0

3 years ago

Why were the two fractions able to settle their difference peacefully

professor190 [17]

They were both rational

3 0

3 years ago

Read 2 more answers

Decide whether the two expressions are equivalent for each problem below.

Vesnalui [34]

Answer:

Step-by-step explanation:

6 0

2 years ago