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3 years ago

The area of a right triangle is 24 square cm and it has a height of 8 cm. What is the base of the triangle?

1 answer:

5 0

The base angle is 6 cm. To find this use the equation to find area for triangles, A= (base*hieght)/2. So I just plugged in numbers until I found 24. 6*8/2=24.
I hope I helped! (This is my guess)

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Which are sums of perfect cubes? Check all that apply. 8x6 27 x9 1 81x3 16x6 x6 x3 27x9 x12 9x3 27x9.

Black_prince [1.1K]

The equations which are sums of perfect cubes are as follows;

$\rm 8x^6+27x^9+1$

$\rm x^6+x^3$

$\rm 27x^9+x^{12}$

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which are sums of perfect cubes?

1. The given equation is $\rm 8x^6+27x^9+1$ .

The equation can be written as;

$\rm 8x^6+27x^9+1\\\\2^3(x^2)^3+3^3(x^3)^3+1^3$

All the terms in the expression are can be represented as perfect cubes.

2. The given equation is $\rm 81x^3+16x^6$ .

The equation can be written as;

$\rm 81x^3+16x^6\\\\9^2x^3+4^2(x^2)3$

In this, all the terms are not perfect cubes, some of them are squares.

3. The given equation is $\rm x^6+x^3$ .

The equation can be written as;

$\rm x^6+x^3\\\\(x^2)^3+x^3$

All the terms in the expression are perfect cubes.

4. The given equation is $\rm 27x^9+x^{12}$ .

The equation can be written as;

$\rm 27x^9+x^{12}\\\\3^3(x^3)^3+(x^4)^3$

All the terms in the expression are perfect cubes.

5. The given equation is $\rm 9x^3+27x^9$ .

The equation can be written as;

$\rm 9x^3+27x^9\\\\3^2x^3+3^3(x^3)^3$

In this, all the terms are not perfect cubes, some of them are squares too.

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

5 0

2 years ago

Read 2 more answers

Complete the steps for solving 7 = -2x2+10x

V125BC [204]

Step 1: move all terms to one side

7 + 2x^2 - 10x = 0

Step 2: Use the quadratic formula

X = 10 + 2(square root of 11). 10-2 _/—-11
————————————. ——————
4. , 4

Step 3: Simplify solutions

X= 5 + (square root of 11) 5 - (square root 11)
——————————- , ————————
2. 2

4 0

4 years ago

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The model shows the expression 20 + 16. Which expression is equivalent to this sum?

Natali5045456 [20]

Answer:

4(5+4)

Step-by-step explanation:

4(5+4) equals 36, and 20 + 16 equals 36 as well, so therefore 20 + 16 is equivalent to 4(5+4)

4 0

3 years ago

Read 2 more answers