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zalisa [80]
3 years ago
14

The length of a rectangle is 4 centimeters more than twice its width of the perimeter of the rectangle is 86centimeters find the

dimensions of the rectangle
Mathematics
1 answer:
lana66690 [7]3 years ago
6 0

Answer:

Width= 13 cm

length=30cm

Step-by-step explanation:

Let the length of the rectangle be 'L'

And the width of the rectangle be 'W'

Perimeter= 86 cm

According to the statement:

        Length= 2*Width+4\\L=2W+4

Perimeter of a rectangle= 2(Length+Width)

86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm

                               Width= 13 cm

                                length=30cm

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san4es73 [151]

Answer:

C.) -7/5

Step-by-step explanation:

To subtract fractions, we need to have common denominators. So first, we will change -1 1/5 to -6/5.

Now we will change the denominator of both -6/5 and 1/2 to 10.

We now have:

5/10 and -12/10

5-12=-7

So the answer would be -7/5

If we want to use the number line, we would first find 5/10 (1/2) on the graph and count down (to simulate subtraction) 12 units since we are subtracting by 12. :))

8 0
3 years ago
If x has a mean of 17.2 g and a standard division of 14.0 g and y has a mean of 23.5 g and a standard division of 16.4 g and the
dimulka [17.4K]

The least squares regression line is y=0.6831x+11.25

Step-by-step explanation:

LSRL is the the Least Squares Regression Line.The formula for regression line is y=mx+b where m is the slope of the line and b is the y-intercept value of the line.

First find the slope, m of the line from the means and standard deviations given

x has a mean of 17.2 g and a standard deviation of 14.0 g

y has a mean of 23.5 g and a standard deviation of 16.4 g

The correlation coefficient in both cases is 0.83, hence the slope m is given by;

m=r(Sy/Sx) where m is the slope of the line, Sy is standard deviation of y values, Sx  is standard deviation of x values and r is the correction coefficient.

m= 0.5 * 23.5/17.2 =0.6831

Find the value of b, the y-intercept

b=Y-mX where X and Y are the mean values for x and y respectively

b=23.5-0.6831*17.2

b=23.5-11.75=11.25

The LSRL is y=0.6831x+11.25

Learn More

Least Squares regression Line : brainly.com/question/4090838

Keyword : standard deviation, least square regression line

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3 0
3 years ago
a sequence of numbers begins at 400. If the pattern increases by consecutive multiples of 5 starting with 5, then find the next
bazaltina [42]

Given :

A sequence of numbers begins at 400.

To Find :

If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___ .

Solution :

This is the a question of arithmetic progression .

The first term is , a = 400 .

Now , it is given that the next numbers increase by the multiples of 5 starting with 5 .

So , common difference is , d = 5 .

Now , we know , n^{th} number in A.P is given by :

a_n=a+(n-1)d

Putting value of n = 2 , 3 , 4 .

We get :

a_2=a+(2-1)d=400+5=405\\\\a_3=a+(3-1)d = 400 + (5\times 2) = 410\\\\a_4=a+(4-1)d = 400 +(5\times 3)=415

Therefore , the next 3 numbers in the sequence is 400 , 405 , 410 , 415 .

Hence , this is the required solution .

8 0
3 years ago
Given right triangle ABC with altitude BD is drawn to hypotenuse AC. If AB=5 and AD=1, what is the length of AC ? (Note: the fig
Alex17521 [72]

Answer:

x = 24.99 or 25

Step-by-step explanation:

<em>Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.</em>

sin y = (1/5)

y = 11.54°

90 - 11.54 = 78.46°

<em>Now using Pythagorean Theorem (</em><em>a²+b²=c²</em><em>) we can solve for line BD.</em>

1² + b² = 5²

1 + b² = 25

b² = 24

b = √24

<em>Now we can use tan to figure out the length of segment DC.</em>

tan(78.46) = z/√24

z = 23.99

<em>We can now combine the known length of segment AD and the length of DC to get </em><em>x</em><em>.</em>

1 + 23.99 = 24.99 or <u>about</u> 25.

8 0
2 years ago
Pls help and no unnecessary typin* I will report
satela [25.4K]

\large\bf{\underline{Given :}}

  • An isosceles triangle ABC
  • AD is a bisector of ∠‎A

__________________________________________

\large\bf{\underline{To \:prove :}}

  • BD = DC

__________________________________________

\large\bf{\underline{In \: triangle \: ABD\:and\: triangle\:ADC}}

{⟹AD = AD\:\:\:\:\:\:\:\:\:\:\:\:\:\:( common)}

{⟹∠BAD = ∠CAD\:\:\:\:\:\:\:\:\:( given : AD \:is \:bisector \:of \:∠A )}

{⟹∠ABD = ∠ACD\:\:\:\:\:\:\:\:\:( given : angles\: in \:isosceles\: trianlge )}

\large\bf{\underline{Hence}}

  • By ASA criteria ∆ABD congurant to ∆ADC

__________________________________________

\large\bf{\underline{So}}

  • By CPCT ( corresponding parts of congurant triangle )

\large\bf{BD = DC}

__________________________________________

\large\bf{\underline{Note :}}Slide to view full answer.

6 0
3 years ago
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