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Lubov Fominskaja [6]
3 years ago
12

Simplify 4√10 - √10 please explain how ypu got the answer

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
4\sqrt{10}-(1)\sqrt{10}=3\sqrt{10}

2)
4\sqrt{10}-\sqrt{10}=\sqrt{10}(4-1)=3\sqrt{10}
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Is 6.78778777 irrational?
Monica [59]
No its not because its a repeating decimal for a number to be a irrational number it has to be non terminating or non repeating
7 0
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-7-(-7)=? Plz help plz plz
Reil [10]

Answer:

the answer is 0

Step-by-step explanation:

6 0
3 years ago
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In square ABCD, AC = 6x + 10, and BD = 10x + 2. What is the length of AC?
Oksanka [162]

Answer:

B) 22

Step-by-step explanation:

AC = BD

6x+10 = 10x+2

simplify:

subtract 6x and 2 from both sides:

4x = 8

x = 2

then:

AC = 6(2)+10 = 22

6 0
3 years ago
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A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensio
Naya [18.7K]

Answer:

\approx 0.59\text{ ft by }0.91\text{ ft}

Step-by-step explanation:

Let \ell represent the length of the rectangle. The width can be represented as 0.64\ell.

The perimeter of a rectangle with lengths l and w is given by p=2l+2w.

Thus, we have:

2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91

The width is then 0.64(0.91463414634)=0.58536585365\approx 0.59.

8 0
3 years ago
Find the area. Round to the nearest hundredth when necessary. Be sure you are showing all work to find each figure.
eimsori [14]

<u>Additional requirements in figure</u> :-

Mark point :-

  • A
  • B
  • C
  • D
  • E

Draw a straight line from E to AB .

And the point line joins mark it as "F" .

It will generate quadrilateral FBCD.

we get to know In quadrilateral left angle is 90°

How ?

{

proof :

As three angles are given 90° So third angle will also be 90°

Reason:

→ Sum of interior angles = 2 (no. of angles - 2 × 180°

→Sum of interior angles = (4-2 × 180°)

→Sum of interior angles = (2 × 180°)

→Sum of interior angles = 360°

}

<u>✿</u><u>Now let the left angle be </u><u>x</u>

  • 90° +90° + 90° + x = 360°
  • 180° + 90° + x = 360°
  • 270° + x = 360
  • x = 360° - 270°
  • x = 90°

<u>we know</u> :

Area of rectangle = Length × Breadth

STEPS :

  • Area of rectangle = Length × Breadth

  • Area of rectangle = 7 × 8

  • Area of rectangle = 56 in²

<u>Now let's find EF</u> :

  • EF = BD - EC

  • EF = 7 - 4

  • EF = 3 in

<u>To find A</u>

<u>F</u> :

  • A•F = AB - CD

  • A•F = 12 - 8

  • A•F = 4 in

<u>In triangle AFE</u>:

  • EF is base of triangle
  • A•F is height of triangle

We know :

<u>Area of triangle =(</u><u> </u><u>Height</u><u> </u><u>×</u><u> </u><u>Base)/2</u>

Steps :

  • Area of triangle = (Height × Base)/2
  • Area of triangle = (4 × 3)/2
  • Area of triangle = 12/2
  • Area of triangle = 6 in²

<u>To find area of figure</u> :

  • Area of figure = Area of rectangle + Area of triangle
  • Area of figure = 56 + 6
  • Area of figure = 62 in²

______________________

~WindyMint

5 0
2 years ago
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