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3 years ago

A set of numbers is shown below:

Mathematics

2 answers:

Andrews [41]3 years ago

5 0

Answer:

3.8 is the answer

Step-by-step explanation:

Papessa [141]3 years ago

3 0

All we need to do in solve for x in the given equation
x+4=7.8
x=3.8 (subtract 4 from both sides)

Therefore, the only value that will make the equation true is 3.8

Hope this helps

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Have you ever been on or seen a ride like this at a fair or amusement park? Imagine being strapped into your seat at the bottom

Marysya12 [62]

The linear relationship is y = 20x, 0 ≤ x ≤ 17.5 and the quadratic relationship is y = -16x² + 288, 0 ≤ x ≤ 3√2

<h3>The equations that represent the relationships</h3>

The linear relationship

When making the trip up, we have:

Rate = 20 feet per seconds

This means that the relationship is:

Distance = Rate * Time

So, we have:

y = 20x

The height of the tower is 350.

So, we have:

20x = 350

Divide by 20

x = 17.5

Hence, the linear relationship is y = 20x, 0 ≤ x ≤ 17.5

The quadratic relationship

The quadratic equation can be represented as:

y = -0.5ax² + vx + h

Where:

a = acceleration due to gravity = 32
v = velocity = 0
h = height = 288

So, we have:

y = -0.5 * 32x² + 0 * x + 288

Evaluate

y = -16x² + 288

When you get to the ground level, we have:

-16x² + 288 = 0

Subtract 288 from both sides

-16x² = -288

Divide by -16

x² = 18

Take the square root of both sides

x = ±3√2

Remove negative domain

x = 3√2

Hence, the quadratic relationship is y = -16x² + 288, 0 ≤ x ≤ 3√2

Read more about linear and quadratic equations at:

brainly.com/question/72196

#SPJ1

5 0

2 years ago

Compare the two integers below: 11____-1 < > =

Alex777 [14]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Solve the problem. Find the surface area of a right regular hexagonal pyramid with sides 2 cm and slant height 5 cm. Round youra

BabaBlast [244]

Answer:

The surface area of the right regular hexagonal pyramid is 50.78 cm².

Step-by-step explanation:

Given:

A right regular hexagonal pyramid with sides(s) 2 cm and slant height(h) 5 cm.

Now, to find the surface area(SA) of the right regular hexagonal pyramid.

So, we find the area of the base(b) first:

Area of the base = $\sqrt[3]{3}\times s^{2}$

= $\sqrt[3]{3}\times 2^{2}$

On solving we get:

Area of the base(b) = $20.784$

Then, we find the perimeter(p) :

Perimeter = s × 6

$p=2\times 6=12$

Now, putting the formula for getting the surface area:

Surface area = perimeter × height/2 + Area of the base.

$SA=\frac{p\times h}{2}+b$

$SA=\frac{12\times 5}{2}+20.784$

$SA=30+20.784$

$SA=50.784$

As, the surface area is 50.784 and rounding to nearest hundredth becomes 50.78 because in hundredth place it is 8 and in thousandth place it is 4 so rounding to it become 50.78.

Therefore, the surface area of the right regular hexagonal pyramid is 50.78 cm².

5 0

3 years ago

Jonah drew two squares with the same dimension. He then added 2 inches to the length of one square to make it a rectangle. He al

Lubov Fominskaja [6]

Answer:

Perimeter of rectangle added 2 to length:

perimeter of rectangle= length + width + length + width

P = ( l + 2 ) + w + ( l + 2 ) + w

P = 2 ( l + 2 ) + 2 w

P = 4 + 2 l + 2 w

Perimeter of rectangle added 2 to width:

P = l + w + l + w

p = l + ( w + 2) + l + ( w + 2)

p = 2 l + 2 ( w + 2)

p = 2 l + 2 w + 4

5 0

4 years ago

What is an example of an rational and irrational number ?

elixir [45]

A rational number is a number that can be made by dividing 2 integers, such as 0.25 or 3/4.

An irrational number is a number that is not an imaginary number and cannot be expressed as a ratio between 2 integers. Basically, if an irrational number was written in a decimal notation, there would be an infinite amount of integers on the right side of the decimal. An example would be π (pi) or √2.

5 0

4 years ago