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2 years ago

The area of the surface of the trampoline is equal to twice its perimeter. Find the dimensions of the trampoline.

Mathematics

1 answer:

grigory [225]2 years ago

5 0

A = lw
A = (x + 6)4x
A = (x)4x + (6)4x
A = 4x² + 24x

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Four times the cube of a number is less than the difference between forty and the number. Select the inequality that represents

tigry1 [53]

<u>Answer:</u>

$4x^3 < 40 - x$

<u>Explanation:</u>

let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number

i.e 4 multiplied by $x^3$ is less than the difference of 40 and the number x i.e 40 - x

x is for sure less than 40 as $x^3$ is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than $x^3$ .

So, the inequality obtained can be written as $4x^3 < 40 - x$

6 0

3 years ago

Read 2 more answers

Find the side length of X

7nadin3 [17]

Answer:

7√3

Step-by-step explanation:

We can use pythagoreans theorem to solve this

Since, we know one side, and the hypotenuse, we can solve for the other side.

Pythagoreans theorem: a²+b²=c²

Where a and b are two sides, and c is the hypotenuse (the side opposite of the right angle)

In this triangle, 7 is the side, and 14 is the hypotenuse.

I will plug in the values into pythagoreans theorem, and then simplify:

$a^{2}+b^{2} =c^{2} \\\\7^{2} +x^{2} =14^{2} \\\\49+x^{2} =196\\\\x^{2} =147\\\\x=\sqrt{147} \\\\x=\sqrt{49*3 }\\\\ x=\sqrt{7^{2} *3 }\\\\x=7\sqrt{3}$

So x = 7√3

6 0

2 years ago

The sides of a square are increased by a scale factor of 6. The perimeter of the smaller square is 10 ft. What is the perimeter

inn [45]

Answer:

60ft

Step-by-step explanation:

I have not done this kind of work in a while but if you scale each side of the square by 6 is should increase to a perimeter of 60ft

4 0

2 years ago

Write an equation of the parabola with the vertex (-5,4) and focus (-5,0)

ch4aika [34]

Answer:

-0.4 or -10.4

Step-by-step explanation:

5 0

2 years ago

A construction worker was covering the bathroom walls with tiles. He covered three-fifths of the wall with 50 tiles. How many ti

Eddi Din [679]

It will take 83 1/3 tiles to fill the wall.

Let x be the entire wall:
3/5x = 50

Divide both sides by 3/5:
x = 50 ÷ 3/5
x = 50/1 ÷ 3/5
x = 50/1 × 5/3
x = 250/3 = 83 1/3

3 0

3 years ago