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3 years ago

The painting shown at the right has and area of 240 in² what is the value of x?

Mathematics

2 answers:

zaharov [31]3 years ago

8 0

The answer is 60 that’s correct

Nataliya [291]3 years ago

4 0

Answer:

The answer is 60

Step-by-step explanation:

If you take a calculator all you have to do is divide 240 by 4 and the and the answer will be 60 please mark me at halve star thank you!

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Find x Thanks for the help in advance!

Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

$AH=2,\quad HB=6,\quad AC=x$

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

$\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}$

If we solve the first two equations for y squared, we have

$y^2=x^2-4\\y^2=z^2-36$

And we can deduce

$z^2 = x^2+32$

So that the third equation becomes

$x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4$

(we can't accept the negative root because negative lengths make no sense)

7 0

3 years ago

I need help, I don’t need an explanation, just the answer

meriva

Answer:

$x = 48 \: \: \: \: \: \: y = 16$

Step-by-step explanation:

$y = - x + 4y$

$y + x = 4y$

$y + x - 4y = 0$

$- 3y + x = 0$

$- x + 4y = 16$

$- 3y + x = 0$

$- 3y = - x$

$y = - \frac{1}{3} ( - 1)x$

$y = \frac{1}{3} x$

$4 \times ( \frac{1}{3} )x - x = 16$

$\frac{1}{3}x = 16$

$x = 48$

$y = \frac{1}{3} \times 48$

$y = 16$

Hope this is correct and helpful

HAVE A GOOD DAY!

5 0

3 years ago

Read 2 more answers

ANYONE GOOD IN MATH TRANSLATIONS??

Bumek [7]

Answer:

(x, y ) → (x + 2, y - 4 )

Step-by-step explanation:

Compare the coordinates of 2 corresponding points in the original and the image, that is

B(- 5, 4 ) → B'(- 3, 0 )

To translate from B → B'

We require a shift of 2 units right in the x direction and 4 units down in the y direction, that is

(x, y ) → (x + 2, y - 4 ) ← translation rule

3 0

3 years ago

Please help! I have to use the Pythagorean theorem for this but idk how to do that with four numbers

lana [24]

Answer:

Step-by-step explanation:

Remark

Simple answer: you can't. I mean that you can't try to use 4 numbers, but you can solve the problem. You are going to have to redraw the diagram on another sheet of paper. Follow the directions below.

Directions for diagram extension.

Go to the right hand end of the 10 unit line.

Draw a line from the intersection point of the 10 unit line and 12 unit line

Draw this line so it is perpendicular to the 18 unit line. That will mean that the new line is parallel (and equal) to x

Mark the intersect point of the new line and the 18 unit line as B

Mark the intersect point of the 18 point line and the 12 unit line as C

Given and constructed

BC = 18 - 10 = 8

BC is one leg of the Pythagorean triangle.

The new x is the other leg of the Pythagorean triangle.

12 is the hypotenuse.

Formula

x^2 + 8^2 = 12^2

x refers to the new x which is equal to the given x

Solution

x^2 + 64 = 144 Subtract 64 from both sides

x^2 +64 - 64 = 144-64 Combine

x^2 = 80 Break 80 down.

x^2 = 4 * 4 * 5 Take the square root of both sides

x = 4*sqrt(5)

Comment

If you want the area it is 4*sqrt(5)(10 + 18)/2 = 56*sqrt(5)

5 0

3 years ago

In figure is shown a right circular cone of height 30 cm. A small cone is cut off from the top by a plane parallel to the base.

olga2289 [7]

Answer:

20 cm

Step-by-step explanation:

Think of a large cone, 30 cm high, and a small cone of x height.

The scale factor of a volume of the cube of the scale factor of linear dimensions.

The cubic root of 1/27 is 1/3.

This means that the height of the small cone is 1/3 the height of the large cone.

The large cone has height 30 cm.

The small cone has height 10 cm.

30 cm - 10 cm = 20 cm

Answer: 20 cm

7 0

2 years ago