All categories

3 years ago

For number 18 what is X

Mathematics

1 answer:

Sonja [21]3 years ago

8 0

The answer is 6. plug it in for yourself and you will see

You might be interested in

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

Multiplying both sides by 16 we get:

$256=3x^2$

Dividing both sides by 3 we get:

$\frac{256}{3} =x^2$

Using square root on both sides we get:

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

So, the base of triangle = $\frac{8}{\sqrt{3}} \ m.$

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

Thus, the height of triangle = $\frac{12}{\sqrt{3}} \ m.$

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

7 0

4 years ago

Solve the following inequality: |x – 4|> 6

Hoochie [10]

Answer:

x>10 or x< -2

Step-by-step explanation:

There are two solutions, one positive and one negative, remembering to flip the inequality for the negative

x-4 >6 or x-4 < -6

Add 4 to each side

x-4+4 > 6+4 or x-4+4 < -6+4

x>10 or x< -2

4 0

3 years ago

Help ME PLEASE !!!!!!!!!!

Lesechka [4]

Answer: just put it in rice

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

4. If you average $5.99 for breakfast, $13.95 for lunch, and $20.56 for dinner, how much should you

Mama L [17]

Answer: Your average would be about 41 dollars

Step-by-step explanation:

Why because if you add up all of the costs and round it, the answer is 41

3 0

3 years ago

Solve for X Log x - log 3 = log(x-2) Please please help

andre [41]

Step-by-step explanation:

$log \frac{a}{b} = loga - logb$

logx - log3 = log(x-2)

$log( \frac{x}{3} ) = log(x - 2)$

$\frac{x}{3} = x - 2$

x = 3(x - 2)

x = .......

8 0

3 years ago