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4 years ago

PLEASE HELP ILL GIVE BRAINLIEST !! FAKE ANSWERS WILL GET REPORTED.

Mathematics

1 answer:

Simora [160]4 years ago

5 0

Answer:

b ≈ 3.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 1

c = 4

Step 2: Solve for b

Substitute in variables [Pythagorean Theorem]: 1² + b² = 4²
Evaluate exponents: 1 + b² = 16
[Subtraction Property of Equality] Subtract 1 on both sides: b² = 15
[Equality Property] Square root both sides: b = √15
[√Radical] Evaluate: b = 3.87298
Round: b ≈ 3.9

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What is an array for 4*2=8?

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The array is times between 4 in 2 = 8

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4 years ago

A man travels 20 km by car from Town P to Town Q at an average speed of x km/h. He finds that the time of the journey would be s

yuradex [85]

Answer:

x = 20.

Step-by-step explanation:

First, you should remember the relation:

Distance = Speed*Time.

First, we know that a man travels a distance of 20km at a speed of x km/h, in a time T.

We can write this as:

20km = (x km/h)*T

We know that the time is shortened by 12 minutes if the speed is increased by 5km/h

Rewriting these 12 minutes in hours (remember that 60min = 1 hour)

12 min = (12/60) hours = 0.2 hours

Then from this, he can travel the same distance of 20km in a time T minus 0.2 hours if the speed is increased by 5 km/h

We can write this as:

20km = (x + 5 km/h)*(T - 0.2 h)

Then we have a system of two equations, and we want to find the value of x:

20km = (x km/h)*T

20km = (x + 5 km/h)*(T - 0.2 h)

First, we should isolate the variable T in one of the equations, if we isolate it in the first one, we will get:

20km/(x km/h) = T

Replacing that in the other equation we get:

20km = (x + 5 km/h)*(T - 0.2 h)

20km = (x + 5 km/h)*( 20km/(x km/h) - 0.2 h)

Now we can solve this for x.

Removing the units (that we know that are correct) so the math is easier to read, we get:

20 = (x + 5)*(20/x - 0.2)

We only want to solve this for x.

20 = x*20/x - x*0.2 + 5*20/x - 5*0.2

20 = 20 - 0.2*x + 100/x - 1

subtracting 20 in both sides we get:

20 - 20 = 20 - 0.2*x + 100/x - 1 - 20

0 = -0.2*x + 100/x - 1

If we multiply both sides by x we get:

0 = -0.2*x^2 + 100 - x

-0.2*x^2 - x + 100 = 0

This is just a quadratic equation, we can solve it using the Bhaskara's equation, the solutions are:

$x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-0.2)*100} }{2*-0.2} = \frac{1 \pm 9 }{-0.4}$

Then the two solutions are:

x = (1 + 9)/-0.4 = -25

x = (1 - 9)/-0.4 = 20

As x is used to represent a speed, the negative solution does not make sense, so we should use the positive one.

x = 20

then the average speed initially is 20 km/h

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3 years ago

people are waiting on line for a theater premiere. every 5th person in line will receive a free theater ticket. every 6th person

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The 30th person will

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3 years ago

Read 2 more answers

Given g(x) = -x-2, find g(0)

Reika [66]

Answer:

$g(0)=-2$

Step-by-step explanation:

So we have the function:

$g(x)=-x-2$

And we want to find g(0).

To do so, substitute 0 into x:

$g(0)=-(0)-2$

Multiply:

$g(0)=-2$

So, the value of g(0) is -2.

And we're done!

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3 years ago

Which company’s tower holds the most water?

GuDViN [60]

Answer: First Option

Step-by-step explanation:

The formula to calculate the volume of a cylinder is:

$V = \pi(\frac{d}{2})^2*h$

Where d is the diameter of the cylinder and h is the height.

Notice that the term d is squared. This means that to increase the volume of a cylinder it is more efficient to increase its diameter as well. Therefore, look for the cylinder with the largest diameter among the options.

The first cylinder is 90 ft in diameter and 40 ft in height and its volume is

$V = \pi(\frac{90}{2})^2*40$

$V=254469\ ft^3$

You can verify that it is the tank that has the highest volume

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