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3 years ago

What is the l and w of a rectangular field of 40 ft perimeter?

1 answer:

3 0

The perimeter doesn't tell you the dimensions.

With a 40-ft perimeter, there an infinite number of possibilities
for the length and with. The only thing we know for sure is that
the sum of (length + width) is 20-ft.

The field could be . . .

1' by 40'
2' by 20'
3' by 13-1/3 '
4' by 10'
5' by 8'
6' by 6-2/3 '

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I have 30 photos to post on my website. I'm planning to post these on two web pages, one marked "Friends" and the other marked "

Sergio039 [100]

Answer:a) 870

b) 435

Step-by-step explanation:

number of photos to be posted =n = 30

number of web pages on which they would be posted is 2

Since the order in which the photos appear on the web pages matters,

Number of ways = 30 permutation 2

=870 ways

Since the order in which the photos appear on the web pages does not matter,

Number of ways = 30 combination 2

= 435 ways

6 0

3 years ago

Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.

Tasya [4]

Answer:

Step-by-step explanation:

Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.

Solving for a we get a = $\sqrt{c^2-b^2}$ . Then plugging in the values for c and b, we get a = $\sqrt{1024}$ = 32

Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.

5 0

3 years ago

Read 2 more answers

How I divide by negative?? I forgot completely

allochka39001 [22]

Answer:

I hope this helps. If I misunderstood the question let me know

Step-by-step explanation:

1. When dividing a negative by a negative, your answer would be positive.

2. When dividing a negative by a positive, your answer will be negative.

3. When dividing a positive by a negative,your answer will be negative.

3 0

2 years ago

Read 2 more answers

Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.

AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= $\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

x₂ = $\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

If the discriminant is zero, the equation will have only one solution and it will be real
If the discriminant is greater than zero, then the equation will have two solutions and they both will be real.
If the discriminant is less than zero, then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: $b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104$

Therefore our discriminant is less than zero and we know that our equation will have two solutions in the complex numbers.

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = $\frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂= $\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

These are our two solutions in the imaginary numbers.

7 0

3 years ago

Sam is 5 years old. His older brother, Tom, is three times as old as Sam. When Sam is 20, how old will Tom be?

Gnom [1K]

To find the age of tom we will use the expression 20*3 because tom is three times as old as Sam.

so the answer is 60

7 0

3 years ago

Read 2 more answers