The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.

Answers

Answer 1

Answer:

The length of the diagonal is x√10

Step-by-step explanation:

Here, we want to find the length of the diagonal

The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides

Mathematically, we then apply Pythagoras’ theorem to get this

we have this as that the square of the diagonal equals the sum of the squares of the two other sides

d^2 = x^2 + (3x)^2

d^2 = x^2 + 9x^2

d^2 = 10x^2

d = √(10x^2)

d = x√10

Related Questions

-2y+6=-12
What does y equal?

Answers

Answer:

y = 9

Step-by-step explanation:

-2y+6=-12

subtract 6 on both sides: -2y=-18

divide both sides by -2: y=9

Answer:

[tex]y = 9[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex] - 2y = - 12 - 6[/tex]

2) Simplify -12-6 to -18.

[tex] - 2y = - 18[/tex]

3) Divide both sides by -2.

[tex]y = \frac{ - 18}{ - 2} [/tex]

4) Two negative makes a positive.

[tex]y = \frac{18}{2} [/tex]

5) Simplify 18/2 to 9.

[tex]y = 9[/tex]

So, Yherefor, the answer is, y = 9.

the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)

Answers

Answer:

Height x=2

Step-by-step explanation:

area of top & bottom:

(5)(4)(2)=40

area of 2 sides:

(x)(5)(2)=?

area of the other two sides:

(x)(4)(2)=?

total area=76

76=40+10x+8x

simplify:

36=18x

x=2

Find the total surface area of a cylinder whose diameter is 28 cm and height is 11 cm.

Answers

59 cm yun ang sagot sa tanong mo

Answer:

2199.11 (with pi)

2198 (with 3.14)

Step-by-step explanation:

A=2πrh+2πr²

A=2π(14)(11)+2π(14)²

A=2π(154)+2π(196)

A=2(483.56)+2(615.44)

A=967.12+1230.88

Function or not a function?

Answers

yo no se ok yo no se solamente qiero puntos

each side of a triangle is nine inches long. find the perimeter

Answers

The triangle in which the side are nine inches long has a perimeter of 27 inches.

Perimeter of a triangle

The perimeter of a triangle is the sum of the length of the whole side.

The triangle have three sides and the perimeter is the sum of the whole sides.

According to the question, the triangle has the whole sides as 9 inches.

This means the triangle is an equilateral triangle.

Therefore,

length of side = 9 inches

perimeter = 9 + 9 + 9

perimeter = 27 inches

learn more on triangle here:https://brainly.com/question/19976393

PLZ PLZ PLZ help 50 points

Answers

Answer:

i think im to late sorry

Step-by-step explanation:

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