A medical supplier sells gauze in large and small rectangular sheets. A large sheet has a length of 9 inches and an area of 45 square inches. A small sheet has a length of 4 inches and a width of 3 inches. Are the sheets similar?

Answers

Answer 1

Answer:

Step-by-step explanation:

Large sheet:

 Length = 9 inches

 Width of large sheet = area ÷ length = 5 inches

 ratio of length to width = 9:5

Small sheet:

 Length = 4 inches

 Width = 3 inches

 ratio of length to width = 4:3

9:5 ≠ 4:3

The sheets are not similar

Answer 2

The large sheet and small sheet are not similar because they have different dimensions.

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that large sheet has a length of 9 inches and an area of 45 square inches whereas the small sheet has length of 4 inches and a width of 3 inches.

Let's find out the area of small sheet which will be :

A = L × B

A = 4 × 3

A = 12 inches²

Whereas , in case of large sheet the area is 45 inches². So , the area of both sheets are not similar.

Let's check if dimensions are same.

Width of large sheet will be :

A = L × B

45 = 9 × B

or

B = 5 inches

So , dimensions are also not equal.

Therefore , the large sheet and small sheet are not similar because they have different dimensions.

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Related Questions

Where is the point (5. - 1) located in the coordinate plane?
A. In quadrant II
B. On the yaxis
C. In quadrant IV
o D. In quadrant III

Answers

Answer: A.

Step-by-step explanation: 5 is in one of the first 2 quadrants, and since the second number is a negative, it goes in the 2nd quadrants.

Which is the lower rate?
(a) 2,133 km in 6 hours
(b) 1,498 km in 7 hours

Answers

Answer:

2133 km in 6 hours is lower than 1498 km in 7 hours

Step-by-step explanation:

Y-9=26
Can anyone help me with this question

Answers

Answer:

Y = 35

Step-by-step explanation:

GIVING BRAINLIEST! AND 20 POINTS!
The two triangles below are similar. To the nearest tenth, what is the measurement of the missing side?

Answers

Answer:

4.1

Step-by-step explanation:

Divide 1.2 and 2.3

The United States government wanted to determine what proportion of Americans approve of the current President so they conducted a survey of 2,000 randomly chosen Americans. Assume that the true proportion of Americans who approve of the president is 0.46. Determine what the mean and the standard deviation of the sampling distribution of the sample proportion would be. Round to 2 decimal places when necessary. The mean of the sampling distribution is .43 and the standard deviation of the sampling distribution is .05 .

Answers

Answer:

The mean of the sampling distribution is 0.46

The standard deviation of the sampling distribution is 0.01

Step-by-step explanation:

We use the central limit theorem to solve this question:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.46, n = 2000[/tex]

So

Mean: [tex]\mu = p = 0.46[/tex]

Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]

The mean of the sampling distribution is 0.46

The standard deviation of the sampling distribution is 0.01

The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively

Proportion and standard deviation

The formula for calculating the standard deviation for a sample proportion is given as:

[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]

p is the proportionn is the sample size

Note that p = mean = 0.46

To get the standard deviation:

[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]

Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.

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Need help don’t know what to do I’m confused

Answers

Answer:

-x + y = 8

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

          = [tex]\frac{10-7}{2-(-1)} = \frac{3}{3} or 1[/tex]

slope = 1, m represents the slope

y - y1 = m(x - x1)

choose any point ( -1, 7 ) or ( 2,10 )

y - 7 = 1( x + 1 )

y - 7 = x + 1

-x + y = 8

please answer i know the picture is a little blurry but please i will give you brainliest!!

Answers

Answer: the 1st one.

Step-by-step explanation: becuase today I was helping out a freind with this.  So it the first one

Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Answers

The answer is B. When dividing exponents, you divide the coefficients and subtract the exponents from the numerator to the denominator.

So, in this case, 16/8 is 2 (eliminating C and D). Then, you subtract the exponents on r and s. For r, that’s 6-2 so the answer will be r^4. For s, that’s 3-6 so the answer will be s^-3, or 1/s^3. Put it all together and you get 2r^4/s^3, or B.

The expression (16r⁶s³) / (8r²s⁶) in the simplified form will be 2r⁴ / s³. Then the correct option is B.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ (16r⁶s³) / (8r²s⁶)

Simplify the expression, then we have

⇒ (16r⁶s³) / (8r²s⁶)

⇒ 2r⁴ / s³

The expression (16r⁶s³) / (8r²s⁶) in the simplified form will be 2r⁴ / s³. Then the correct option is B.

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Rewrite using a single positive exponent.
(7^2)^-7

Answers

Answer:

Step-by-step explanation:

we have to remember the power rules, power raised to the power-we use the multiplication

(7^2)^-7=7^-14= 1/7^14

5. Mason's mom bought g games online. The games cost $12 each plus a $7 shipping fee. Write an expression to represent how much Mason's mom spent for the games​

Answers

The expression is 12x+7

Albert moved 1/4 of lawn and son mowed 3/7 of how much is left to mow

Answers

Answer: 5/28 left to mow

Step-by-step explanation:

How much is left means we have to subtract the fractions.  The easiest to do is subtract using the larger fraction first which is 3/7.

3/7 - 1/4

Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator.  In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28.  28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:

3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4.  Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28.  For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7.  Now multiply 7 by the numerator 1 which =7.  Now you have 7/28. Now you can subtract and solve for your answer:

3/7 -1/4 converted to:

12/28 - 7/28  subtract numerators 12-7 and keep the same denominator

Ans: 5/28 left to mow

Karley is an architect building the city pool. The larger rectangle represents the entire pool area. The smaller rectangle represents the pool. The shaded area represents the 4-foot walkway border around the pool. What is the area of the walkway border, or the shaded region, of this figure in square feet


Two rectangles, one lying completely within the other. The area between the rectangles is shaded. Two adjacent sides of the larger rectangle are labeled sixty feet and forty feet. The shaded area is labeled four foot border.

Answers

Answer:

Area of the walkway border is 736 ft²

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.

The entire pool area has a length of 60 feet and width of 40 feet. The area of the entire pool area is:

Area of entire pool = length * width = 60 feet * 40 feet = 2400 ft²

The area of entire pool

A walkaway border of 4 ft is made around the pool area. There is a decrease of 4 ft round the sides of the pool area.

Therefore length of pool = length of entire pool area - 4 feet border at left - 4 feet border at right  = 60 ft - 4 ft - 4 ft = 52 ft

width of pool = width of entire pool area - 4 feet border at top - 4 feet border at bottom  = 40 ft - 4 ft - 4 ft = 32 ft

Therefore the pool is 52 ft × 32 ft

Area of pool = length * width = 52 ft * 32 ft = 1664 ft²

Area of the walkway border = Entire pool area - Area of pool = 2400 ft² - 1664 ft² = 736 ft²

Answer: The answer is 736ft

Step-by-step explanation:

I took the test and it was 736

A 30\,\text {kg}30kg30, start text, k, g, end text dog runs at a speed of 15\, \dfrac{\text m}{\text s}15
s
m

15, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction.
What is the dog’s kinetic energy?
Round answer to two significant digits.

Answers

Answer:

3,400 J

Step-by-step explanation:

Got it off Kahn Academy, please just trust me on this.

A 30 kg dog runs at a speed of 15 m/s.

What is the dog’s kinetic energy?

Answer: 3,400 J

Is the following set a function?
{(-3, -27), (-2, -18), (1, -9), (0, 0), (1,9), (2, 18), (3, 27)}
A) Yes
B) No

Answers

Answer:

yes i think

Step-by-step explanation:

No because there’s two 1s and the x

If 4 tickets cost $28.96, how much is one ticket?

Answers

Answer:

7.24

Step-by-step explanation:

Divide 28.96 by 4

28.96/4=

7.24

Answer:

$7.24

Step-by-step explanation:

28.96 ÷ 4 = 7.24

hope this helps...

what is 5% of 20= pls I really need some help on this will mark brainly if correct

Answers

Answer:

1

Step-by-step explanation:

5% of 20 = 1. hope this helps :)

What is the value of s?

Answers

Answer:

68 is the answer

If a man is driving at a rate of 80 km per hour, how many kilometers will he travel in 30 minutes? A. 30 km B. 40 km C. 60 km D. 240 km

Answers

Answer: B 40 km
Explanation

i guss d is the answer of it

Elizabeth raises chickens and sells the eggs to a local supermarket. The supermarket pays $0.85 for every dozen eggs. How much money could Elizabeth expect to earn in a week if her chickens lay, on average, 51 dozen eggs per week?

Answers

Answer:

On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.

Step-by-step explanation:

0.85x

x represents how many dozens

0.85(51) = 43.35

Please help!! Thank you so much! (I hate school) :,)

Answers

The first and second one

(7x2)=14+5=19
(28/2)=14+5=19


Have a nice day!:)

Help please!! Cofunctions of complimentary angles
cos(34°) = sin(?)

Answers

9514 1404 393

Answer:

  56°

Step-by-step explanation:

Cofunctions of complementary angles have the same value.

  cos(34°) = sin(90°-34°) = sin(56°)

Sansa solved the equation 1/2(8x-6)=x+9​

Answers

Answer:

x=4

Step-by-step explanation:

;)

write the first 4 terms of the sequence defined by its given rule 5. f(1) = 7, f(n) = -4.f(n - 1) + 15

Answers

Answer:

The first 4 terms of the sequence are: 3, 9, 81, 6561

Step-by-step explanation:

We are given the following recursive function:

[tex]f(n) = [f(n-1)]^{2}[/tex]

And the following initial condition:

[tex]f(1) = 3[/tex]

The second term of the sequence is:

[tex]f(2) = [f(2-1)]^{2} = f(1)^2 = 3^2 = 9[/tex]

The third term of the sequence is:

[tex]f(3) = [f(3-1)]^{2} = f(2)^2 = 9^2 = 81[/tex]

The fourth term of the sequence is:

[tex]f(4) = [f(4-1)]^{2} = f(3)^2 = 81^2 = 6561[/tex]

The first 4 terms of the sequence are: 3, 9, 81, 6561

A bag comtains 2 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of choosing a blue marble, and without replacing it, drawing a green marble, and without replacing it, drawing another green marble.

A) 1/12
B) 5/12
C) 1/14
D) None of the above​

Answers

Answer:

1 /14

Step-by-step explanation:

P(B, G, G) = [tex]\frac{3}{9}[/tex] · [tex]\frac{4}{8}[/tex] · [tex]\frac{3}{7}[/tex]

                = [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{2}[/tex] · [tex]\frac{3}{7}[/tex]

                 =  [tex]\frac{1}{14}[/tex]

Q1)
Find each portion when you share $12 in the ratio:
1:2

Answers

Answer:

Step-by-step explanation:

1+2 = 3

12/3 = 4

so for the "1" you get 4

for the "2" you get 8

An aircraft seam requires 20 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 16% of all seams need reworking, what is the probability that a rivet is defective

Answers

Answer:

probability that a rivet is defective is 0.00868

Step-by-step explanation:

given data

rivets = 20

all seam need reworking P = 16% = 0.16

solution

we consider here probability of a defective rivet = p

and 0.16 = P [Seam needs reworking) = P (at least one rivet in the seam is defective)

so that for non-defective = 1 - P [all the rivets are non-defective]

and that will be here as = 1 - P [rivet 1 is non-defective, rivet 2 is non-defective, rivet 3 is non-defective,...............,rivet 20 is non-defective]

= [tex]1 - (p})^{20}[/tex]     ....................1

so

1-0.16 = [tex]1 - (p})^{20}[/tex]

0.84 = [tex]1 - (p})^{20}[/tex]

[tex]0.84^{\frac{1}{20}}[/tex] = 1 - p

solve it we get

p = 0.00868

so, probability that a rivet is defective is 0.00868

You have inherited land that was purchased for $65,000 in 2015. The value of the land
increased by approximately 5% per year. What is the approximate value of the land in
the year 2030?

Answers

Answer:

in 2030 the land will aproxmatly be worth $113750

Step-by-step explanation:

WHAT INFORMATION DOES THE CORRELATION COEFFICIENT TELL YOU ABOUT A SCATTERPLOT

Answers

Answer:

How close the correlation is. the closer the correlation coefficient is to ±1, the stronger the correlation

Step-by-step explanation:

Suppose that the people in a certain city are catching cold. It is observed that after one​ week, 40% of the people who were sick are still sick. Of the people who were​ well, 30% are sick after one week.​ If, at some particular​ time, 20% of the people are​ ill, find the proportion of people who are sick after two weeks

Answers

Answer:

the proportion of people who are sick after two weeks is 33.2%

Step-by-step explanation:

Given the data in the question;

Let there be 100 people in the city;

20% of them are sick( 20/100 × 100) = 20 people

so 80% are fine = ( 100 - 20 ) = 80

after one​ week, 40% of the people who were sick are still sick

40/100 × 20 = 8%

of the 80% of people who were well, 30% got sick after one week

30/100 × 80 = 24%

so after one week. 8% + 24% = 32% of the people were sick,

hence 68% are fine.

now, after second week 40% of sick and 30% of not sick people previously will be sick

∴ Total people who are sick after two weeks    

⇒ 40/100 × 32 + 30/100 × 68

= 12.8 + 20.4

= 33.2

Therefore, the proportion of people who are sick after two weeks is 33.2%

QUCIK!!!!

Find the equation of the line with Slope = 5 and passing through (7,43). Write your equation in slope
intercept form

Answers

Answer:

Y=5x+8

Step-by-step explanation:

43=5(7)+b Substitute in the ordered pair and solve in parathensis

43=35+b Subtract 35 from both sides

43-35=-35+b Did you subtract?

8=b The variable is 8.

y= 5x+8 Rewrite the equation in slope intercept form

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