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
ddd [48]
3 years ago
8

the perimeter of a rectangle is twice the sum of its length and it width. The perimeter is 16 meters ans its length is 2 meters

more than twice its width. What is the length?
Mathematics
1 answer:
olganol [36]3 years ago
6 0

Answer:

The length is 6 meters.

Step-by-step explanation:

If its width is x meters  then its length is 2x + 2 meters and we have the equation:

2x + 2(2x + 2) = 16

2x + 4x + 4 = 16

6x = 16 - 4

6x = 12

x = 2 meters.

Thus x is the width and the length is 2(2) + 2 = 6 meters.

You might be interested in
A​ 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense he
Orlov [11]

Answer:

We conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

Step-by-step explanation:

We are given that in a 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field.

Among 264264 ​trials, the touch therapists were correct 105105 times.

<u><em>Let p = proportion that touch therapists uses a random guess method.</em></u>

Here, random guess means; p = 50%

So, Null Hypothesis, H_0 : p = 50%     {means that the touch therapists use a method equivalent to random guesses}

Alternate Hypothesis, H_A : p \neq 50%     {means that the touch therapists does not use a method equivalent to random guesses}

The test statistics that would be used here <u>One-sample z proportion statistics</u>;

                         T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p  = sample proportion of touch therapists were correct = \frac{105}{264} = 0.39

            n = sample of trials = 264

So, <em><u>test statistics</u></em>  =  \frac{\frac{105}{264} -0.50}{\sqrt{\frac{\frac{105}{264}(1-\frac{105}{264})}{264} } }  

                                =  -3.395

The value of z test statistics is -3.395.

<em>Now, at 0.05 significance level the z table gives critical value of -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

3 0
3 years ago
Find all solutions of the equation in the interval [0, 2 pi) 2 cos0-1=0
ddd [48]

Answer:

θ = π/3, 5π/3

Step-by-step explanation:

2 cos θ - 1 = 0

2 cos θ = 1

cos θ = 1/2

θ = π/3, 5π/3

7 0
3 years ago
Read 2 more answers
Consider this expression
Sloan [31]

Answer:

\displaystyle \large{(x + 9)(x - 8)}

The value of a is 9 and b is -8

Step-by-step explanation:

\displaystyle  \large{(x + a)(x  + b) =  {x}^{2}  + (a + b)x + ab}

We need to find two numbers that add up or subtract off to 1.

Then we also use the same two numbers that multiply and get -72.

Let's see:-

  • 9 and -8 seem like correct values.

Because 9+(-8) is 9-8 = 1

And 9(-8) is -72.

Therefore:

\displaystyle \large{ {x}^{2}  + x - 72 = (x + 9)(x - 8)}

The value of a is 9 and the value of b is -8 according to form of (x+a)(x+b)

8 0
3 years ago
Read 2 more answers
770 is 70% of what number?
Andreyy89

Answer:If you are using a calculator, simply enter 770×100÷70, which will give you the answer.

Step-by-step explanation:

3 0
3 years ago
the weight of an empty pickup truck is 2.1 times the weight of an empty empty car weighs 1.8 tons how many tons does a pickup we
ella [17]
4.28 is the answer I think ._.
8 0
3 years ago
Other questions:
  • What’s the answer the this question
    7·1 answer
  • Factor the four term polynomial by grouping 2x^2-8xy-9x+36y
    6·2 answers
  • HELP...here say:write five decimals that have at least 3 digits to the right of the decimal point.Write the expanded form and th
    14·1 answer
  • Slope is -2 and (5,3) is on the line<br> Write the equation as well and how you solved it
    13·1 answer
  • PLEASE HELP!!!!!!!
    12·1 answer
  • Please HELP
    15·2 answers
  • Have anyone felt really sad after you girl broke up with you for no reason <br><br> what 4+4
    13·2 answers
  • 1. The present age of Visakha is x years. Find: I) How old was he 2 years before?​
    6·1 answer
  • One approximate solution to the equation cos x = -0.60 for the domain 0° ≤ x ≤ 360° is
    11·1 answer
  • The lateral edges of a prism are
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!