1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bija089 [108]
3 years ago
8

The area of a rectangle is 256.5m.  If the length is 18m what is the perimeter of the rectangle?

Mathematics
2 answers:
Len [333]3 years ago
7 0
Area = l x b

thus, 256.5 = 18 x b

thus b = 256.5/18
= 14.25

thus, breadth is 14.25 meters

Now perimeter = 2l + 2b

= 36 + 28.5

= 64.5

Thus, perimeter of the rectangle is 64.5 meters
irga5000 [103]3 years ago
5 0
The area of a rectangle equals length times height. (A=LH)

A=256.5 L=18

Plugging in the numbers into the equation, you get 256.5=18H. (like I substituted the numbers in)

next if you divided both sides by 18, it will cancel out the 18 in the 18H side of the equation.

So, it is 256.5/18 equaling H

256.5 divided by 18 is... 14.25

That means the height is 14.25 an the length is 18.

the perimeter is all of the sides added together. in a rectangle, the sides opposite each other are the same.

So you have two sides that are 14.25 and two that are 18 meters long.

14.25+14.25+18+18 equals the perimeter then.

So the answer would be... 64.5!
You might be interested in
Hank the handy man charges a flat fee of $75 per visit, plus $45 per hour or fracrion of an hour
Taya2010 [7]
<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - </h3>

➷ Hank charges $75 for a visit plus $45 per hour.

Therefore, for an hour, Hank would charge $120 as 75 + 45 = 120

Mr Fixit:

As it is for one hour, we look at the first function because the time is 'less than or equal to an hour'.

Mr Fixit would charge $95 for an hour.

Therefore, Hank charges $25 more than Mr Fixit.

➶Hope This Helps You!

➶Good Luck :)

➶Have A Great Day ^-^

↬ Hannah ♡

4 0
3 years ago
Read 2 more answers
Factor 5a^2-30a+45, and 2x^5+x^4-2x-1.
Mrrafil [7]

Step-by-step explanation:

{5a}^{2}  - 30a + 45

5( {a}^{2}  - 6a + 9)

5(a-3)(a-3)

5(a-3)^2

{2x}^{5}  +  {x}^{4}  - 2x - 1

X^4(2x+1) - (2x+1)

(x^4-1)(2x+1)

(x^2-1)(x^2+1)(2x+1)

(x-1)(x-1)(x^2+1)(2x+1)

6 0
2 years ago
Three populations have proportions 0.1, 0.3, and 0.5. We select random samples of the size n from these populations. Only two of
IRINA_888 [86]

Answer:

(1) A Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

Step-by-step explanation:

Consider a random variable <em>X</em> following a Binomial distribution with parameters <em>n </em>and <em>p</em>.

If the sample selected is too large and the probability of success is close to 0.50 a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

  • np ≥ 10
  • n(1 - p) ≥ 10

The three populations has the following proportions:

p₁ = 0.10

p₂ = 0.30

p₃ = 0.50

(1)

Check the Normal approximation conditions for population 1, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.10=1

Thus, a Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2)

Check the Normal approximation conditions for population 2, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.30=310\\\\n_{c}p_{1}=50\times 0.30=15>10\\\\n_{d}p_{1}=40\times 0.10=12>10\\\\n_{e}p_{1}=20\times 0.10=6

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3)

Check the Normal approximation conditions for population 3, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.50=510\\\\n_{c}p_{1}=50\times 0.50=25>10\\\\n_{d}p_{1}=40\times 0.50=20>10\\\\n_{e}p_{1}=20\times 0.10=10=10

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

8 0
3 years ago
To $28.35 find the. total cost if the tax is 6.25% and a 20% tip
Alik [6]
Your answer:
20% of 28.35 is 5.67. 6.25% of 28.35 is 1.77. Add 28.35, 5.60, and 1.77 to get the final total of $35.79
4 0
3 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.

  1. <u>If the discriminant is zero</u>, the equation will have only one solution and it will be real
  2. <u>If the discriminant is greater than zero</u>, then the equation will have two solutions and they both will be real.
  3. <u>If the discriminant is less than zero,</u> 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<u> that our equation will have two solutions in the complex numbers. </u>

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
Other questions:
  • Factor completely and then place the factor. in the proper location on the grid (4x-+3)(-2x-5)
    13·1 answer
  • Lexi jarred 12 liters of jam after 4 days. How many days did Lexi spend making jam if she jarred 15 liters of jam? Assume the re
    15·1 answer
  • SOLVE. (5n)÷(30m)+(2m+4n)÷(30m)
    7·2 answers
  • A photo booth’s profit as a function of users is represented in the table. The function is quadratic.
    13·1 answer
  • Solve the simultaneous equations 7 x + 4 y = 26 5 x + 4 y = 14
    12·1 answer
  • 1/4 (x + 12) = 5?<br> Simplify (distribute) and rewrite your expression <br> Solve for X
    11·2 answers
  • No Links plz<br> help plzz<br> (0000.7x4x6+8to the power of 2)x(16x 8 to the power of 8x5+2)
    14·1 answer
  • I need all the help I can
    11·1 answer
  • My number is the smallest 2 digit number that only has 2 factors
    11·2 answers
  • A coil spring 7.5 is strecthed to a length 9.75 cm. What is the percentage of this original length
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!