=
O LINEAR The length of a rectangle is 6 cm longer than its width.
If the perimeter of the rectangle is 56 cm, find its length and width.
cm
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length: 0
width: Ich
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cm

Answers

Answer 1

Answer:

I. L = 17 cm.

II. W = 11 cm.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 56cm

Translating the word problem into an algebraic expression, we have;

L = W + 6 .....equation 1

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

56 = 2(L + W) ......equation 2

Substituting eqn 1 into eqn 2, we have;

56 = 2(W + 6 + W)

56 = 2(6 + 2W)

Opening the bracket, we have;

56 = 12 + 4W

4W = 56 - 12

4W = 44

W = 44/4

W = 11 cm

Next, we would find the length of the rectangle;

From eqn 1;

L = W + 6

L = 11 + 6

L = 17 cm


Related Questions


Which is closest to the length of AB?
A. 3.5 in.
B. 2.9 in.
C. 2.4 in.
D 1.4 in

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Answer:

gohdsyuufdyiikkjhfddyiooufddtuiokhfd

Find the median of the data in the dot plot below.

Answers

Answer:   3 4 4 5 5 5 5 7 7

Step-by-step explanation:

your answer is 5 because 5 is the number in the middle

Find the volume of a cone that has a height of 15 centimeters and a radius of 6 centimeters.

WILL MARK BRAINLEST!!!

Answers

Answer:

565.2

Step-by-step explanation:

Cone=1/3bh

B is pir^2

so that means b=pi36 (6*6 =36)

36*15/3 is 565.2

The first sequence rule is subtract 8 starting from 72. The second sequence rule is subtract 6 starting from 58. What is the first number that appears in both sequences?
Question 2 options:

16

40

46

52

Answers

Answer:

A) 16

Step-by-step explanation:

1st sequence: 72-8x

2nd sequence: 58-6x

Set both sequences equal to each other and solve for x:

72-8x=58-6x

14-8x=-6x

14=2x

7=x

x=7

Plug x=7 back into the equation:

72-8(7)=58-6(7)

72-56=58-42

16=16

So the first number that appears in both sequences is 16.

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options

Answers

What’s the options ?

Please help! Tell the numbers that I have to add to demostrate the answer

Answers

Answer:

I am not sure what you mean but the answer is  

Step-by-step explanation:

                                       

Lucy Baker is analyzing demographic characteristics of the American Idol program. Previous studies indicate that the average viewer is 43 years old. May changes took place in the program and there are rumors the audience has changed. Mrs. Baker was tasked to find out . She randomly selects 100 people from the audience, and reports that the average age is 45 years. Assuming that variability in the ages of viewers is σ = 5 years, identify if Mrs. Baker's conclusion. She wants to accept a Type I error of .05.

Answers

Answer:

We conclude that the mean age of average viewer has changed

Step-by-step explanation:

H0 : μ = 43

H1 : μ > 43

The test statistic :

(xbar - μ) ÷ σ/sqrt(n)

Sample size, n = 100

xbar = 45 ; σ = 5

Test statistic :

(45 - 43) ÷ 5/sqrt(100)

2 ÷ 0.5 = 4

The Pvalue :

P(Z < 4) = 0.000032

Pvalue < α

0.000032 < 0.05 ; Hence, we reject the Null

We conclude that the mean age of average viewer has changed

For positive acute angles A and B, it is known that cos A= 60/61 and tan B= 45/28. Find the value of sin(A+B) in simplest form

Answers

Answer:

[tex]\displaystyle \sin(A+B)=\frac{3008}{3233}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(A)=\frac{60}{61}\text{ and } \tan(B)=\frac{45}{28}[/tex]

And that the two angles A and B are both in QI (positive acute angles).

Given this, we want to determine the value of sin(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to A:

[tex]\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11[/tex]

Likewise, for B, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of B:

[tex]h=\sqrt{45^2+28^2}=\sqrt{2809}=53[/tex]

In conclusion:

With respect to A, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.

With respect to B, the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.

We can rewrite our original expression as:

[tex]\sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A)[/tex]

And since A and B are both in QI, all trigonometric ratios will be positive.

Using the above conclusions, substitute:

[tex]\displaystyle \sin(A+B)=\left(\frac{11}{61}\right)\left(\frac{28}{53}\right)+\left(\frac{45}{53}\right)\left(\frac{60}{61}\right)[/tex]

Simplify. Hence:

[tex]\displaystyle \sin(A+B)=\frac{308+2700}{3233} = \frac{3008}{3233}[/tex]

Sally is building a fence. She needs 234 inches of fencing material. How many yards of fencing material does she need?

Answers

Answer:

6.5 yards

Step-by-step explanation:

1 yard = 36 inches

234/36 = 6.5

Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.

f(x) = -2x2 + 32x - 126

Answers

Answer:

MAX: (8, 2)

too lazy to write out the solution, sorry.

Answer:

this is what i got -2(x-9)(-7) hope it helps

Step-by-step explanation:

zoom in to see the numbers and rotate to see the green and yellow parts

Answers

The first one is less

Please help me. I am having trouble

Answers

Answer:

area = 41 units²

Step-by-step explanation:

area = (8 x 4) + (3 x 3) = 41 units²

Answer:

53

Step-by-step explanation:

A=s×s 3×3=9A=L×W 4×11(3+8)=4444+9 53

What are the coordinates of the vertex of the graph of the function y=-x^2+ 6x -11?
A. (3.-2)
B. (3.16)
C. (-3, -29)
D. (-3, -20)

Answers

I think the answer is A, but im sorry if its wrong

Answer:

Hi! The answer to your question is D. (-3, -20)

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

Brainliest is greatly appreciated!

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Referring to the figure, find the value of x

Answers

Answer:

x = 18

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 5x + 72 = 180

6x + 72 = 180

6x = 180 - 72

6x = 108

x = 18

Answer:

21.6

Step-by-step explanation:

5x+72=180 (set it to 180 because the total angle sum of a triangle is 180)

5x=108

x=21.6

what does this : mean in math for 6th grade

Answers

Answer:

Average

Step-by-step explanation:

Mean is the average of a set of numbers that you are given.

To get the mean you need to add up all the numbers and divide that total number by the amount of numbers you had.

a rectangle with an area of 4/7m^2 is dilated by a scale factor of 7 what is the area of the dilated rectangle enter your answer in the box do not leave answer as a fraction

Answers

9514 1404 393

Answer:

  28 m²

Step-by-step explanation:

The area of the dilated figure is the original area multiplied by the square of the dilation factor.

  A' = 7²×A

  A' = 49×(4/7 m²) = 28 m²

The area of the dilated rectangle is 28 m².

A regression would be appropriate for which of the following types of data settings A. Estimate the amount hot dogs sales for the Superbowl game in Saint's stadium based on a sample of the hot dog stands. B. Estimate the increase in lung cancer for smokers vs. non-smokers C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed D. All of the above

Answers

Answer:

C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed.

Step-by-step explanation:

In Statistics, classification problems are differentiated from estimation problems because classification problems typically requires that the output attribute be categorical while estimation problems require that the output attribute is numerical. In an estimation problem, the output variable has a continuous or real value, such as predicting the size, area, weight, age or even the cost of an item.

A Classification problem work with the concept of creating a succinct model such as decision trees, Naive Bayes, random forest, logistic regression, etc, which is capable of predicting from the attribute (observed) variables given; values of the dependent attribute, which is always categorical.

In order to predict a dichotomous variable from a given data set comprising of continuous or dichotomous variables, a logistic regression can be used.

Mathematically, it is given by the expression;

Logistic regression [tex] y [/tex] with [tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex]

Where;

y represents the dichotomous dependent variable.

[tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex] represents the predictable variables, which are categorical in nature such as alive or dead, win or lose, sick or healthy, pass or fail, etc.

Hence, a regression would be appropriate for predicting someone's blood alcohol level from the number of whiskey drinks they consumed.

Find the shorter base of a trapezoid if the trapezoid's area is 52, its altitude is 8, and its longer basis 10.

Answers

Answer:

The shorter base is 3

Step-by-step explanation:

[tex]a = \frac{(b1 + b2)}{2} \times h[/tex]

[tex]52 = \frac{(10 + b2)}{2} \times 8[/tex]

[tex]b2 = 3[/tex]

Imagine you are the teacher. Explain how you would walk your student through this problem to answer this problem step by step.

Two hikers leave a cabin at the same time, one heading due south and the other headed due west. After one hour, the hiker walking south has covered 2.8 miles and the hiker walking west has covered 3.1 miles. At that moment, what is the shortest distance between the two hikers?

Answers

Answer:

Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:

3.12+2.82=x2

Here, you will need to use a calculator to simplify the left-hand side:

17.45=x2

Now use your calculator to take the square root. You will likely need to round your answer.

x=17.45−−−−√≈4.18 miles

As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.

Step-by-step explanation:

this is my explanation

Is the first one correct and what are the ages?

Answers

For the first question (10a) I think 4x - 4 = 64 could also model the situation. For the ages, Ari is 17, Bill is 34, and Chris is 13. To check, we add them up and get a total of 64. Hope this helps.

4-(6x1000)+99-490=
i need u guys help and thank you

Answers

Answer:

-6387

Step-by-step explanation:

I have a feeling you're just giving away points :)

Sheldon lives 2 miles from the comic book store. Penny lives 2800 yards away. Who lives closer?

Answers

Answer: Penny is closer

Step-by-step explanation:

1 mile is 1760 yards- so 2 miles is 3520 yards, so Penny is closer... which makes no sense since they live in the same building, but there you have it


4)Greg's backyard is 47 feet wide. How many yards and feet is this

Answers

Answer: 15 Yards 2 feet

Step-by-step explanation:

3 feet in a yard

45/3 = 15

2 remaining = 2 feet

Answer:

15.667 in yards

Step-by-step explanation:

Help me please this is due tonight!

Here is a photo of the problem. I’m a little blank on my math tonight, any help is appreciated!

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

__

Using these rules, along with the distributive property, we can simplify the given expression.

  [tex]\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2\\\\=\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5^2a^{4\cdot2}b^{4\cdot2})\\\\=(9)(3)a^{3+3}b^{6+2}+(9)(7)a^{3+2}b^{6+2}-25a^8b^8=27a^6b^8+63a^5b^8-25a^8b^8\\\\=\boxed{-25a^8b^8+27a^6b^8+63a^5b^8}\qquad\text{matches A}[/tex]

the length of a rectangle is five inches less than three times its width . if the perimeter of the rectangle is 150 inches , find the dimensions.

Answers

Step-by-step explanation:

let x be the width of the rectangle.

given

length =

[tex]3x - 5[/tex]

inches.

also given Length + Width = 150 inches,

[tex]3x - 5 + x = 150 \\ 4x - 5 = 150 \\ 4x = 150 + 5 \\ 4x = 155 \\ x = 155 \div 4 \\ = 38.75in[/tex]

Since

Length = 3x-5 in

Width = x in,

Length = 3(38.75) - 5 = 111.25 in

Width = 38.75 in

If the y-intercept of your quadratic is (0,5) and your axis of symmetry is x=4,
determine a second point on your quadratic graph based on this information.

Answers

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

Which equation shows how to find the
angle measure of the part of the circle
without the arrow?

Answers

C is the answer to your question

write an equation for the nth term of the arithmetic sequence. Then find a40.

1/4,1/2,3/4,1,...​

Answers

Answer:

The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

a40 = 10

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The nth term of a sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

1/4,1/2

This means that:

[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]

1/4

This means that [tex]a_1 = \frac{1}{4}[/tex]

The nth term is:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

Then find a40.

[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]

So

a40 = 10

What is the value of x when the Richter
scale rating is 4.37 Round your answer
to the nearest hundredth.

Answers

12589.25
Step by step explanation:
It’s correct on Plato

The slope of the line below is 3. Write the point-slope equation for the line
using the coordinates of the labeled point. (6’8)

Answers

Answer:

y - 8 = 3(x - 6)

Step-by-step explanation:

Point slope-equation formula:

y - y1 = m(x - x1)

y - 8 = 3(x - 6)

y-8=3



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