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2 years ago

Which of the following is a rational number

Mathematics

2 answers:

levacccp [35]2 years ago

7 0

Answer:

Step-by-step explanation:

ikadub [295]2 years ago

7 0

Answer:

the answer is b

Step-by-step explanation:

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Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?

solniwko [45]

ANSWER

a=9

EXPLANATION

The given quadratic equation is

${(x + 2)}^{2} = a$

If x=1 is a solution, then it must satisfy this equation:

${(1 + 2)}^{2} = a$

${3}^{2} = a$

$a = 9$

Therefore the value of 'a' is 9

4 0

2 years ago

Read 2 more answers

What is the exact value of cotangent (StartFraction 3 pi Over 4 EndFraction)? –1 Negative StartRoot 2 EndRoot 1 StartRoot 2 EndR

timurjin [86]

1 negative startroot 2 end root 1 start root 2 end root

6 0

1 year ago

Im literally sitting here crying my eyes out because i have so much homework due tomorrow someone please just help me with this

skelet666 [1.2K]

Answer:

I'm sorry you have a lot of Homework. All i know is the 1st step... i believe their are 3 steps to this question, I wish you the best of luck my friend!

Step-by-step explanation:

1st step =

x=36

8 0

2 years ago

Using De-Moivre's theorem, prove that i^2= -1.

Novosadov [1.4K]

Write i in trigonometric form. Since |i| = 1 and arg(i) = π/2, we have

i = exp(i π/2) = cos(π/2) + i sin(π/2)

By DeMoivre's theorem,

i² = exp(i π/2)² = exp(i π) = cos(π) + i sin(π)

and it follows that i² = -1 since cos(π) = -1 and sin(π) = 0.

3 0

2 years ago

A rectangular prism kiddie pool is 7 feet wide, 6 feet long, and 10 feet tall. When the day started the pool was completely full

kaheart [24]

Answer:

The volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

Height is the dimension that would relate to water level.

Step-by-step explanation:

The volume of a rectangular prism can be calculated using the formula

$V = lwh$

$V$ is the volume

$l$ is the length

$w$ is the width

and $h$ is the height

From the question,

When the day started the pool was completely full of water, that is, the volume of water in the pool will be the capacity of the rectangular prism kiddie pool.

From the question,

$l$ = 6 feet

$w$ = 7 feet

$h$ = 10 feet

Hence,

$V = 6 feet \times 7 feet \times 10 feet$

$V = 420 cubic feet (ft^{3} )$

This is the volume of the water in the pool when the day started.

Also, from the question

After 3 hours, the water level had decreased by 1.5 feet, that is the height had decreased by 1.5 feet

Then, the new height is

10 feet - 1.5 feet = 8.5 feet

h = 8.5 feet

Now, to determine the volume after 3 hours

$V = 6 feet \times 7 feet \times 8.5 feet$

$V = 357 cubic feet (ft^{3} )$

Hence, the volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

The dimension that would relate to water level will be the height.

5 0

2 years ago