Matt is tiling his house and he needs to find out what are the largest square tiles that he could use to
tile an area 105 cm by 280 cm?

Answers

Answer 1

Answer:

the largest square tile is 35cmx35 cm

Step-by-step explanation:

1. Factorize 105 = 5*7*3=35*3

Factorize 280=10*7*4=2*5*7*4=35*8

The common factor is 35.

So Matt can tile 3 tiles 35x35 along the side 105 and 8 tiles along the side 280.

Total 24 pieces 35x35 are necessary to tile the area 105x 280 cm

( However the question is only about the largest tile that Matt could use and not about the quantity of the tiles)


Related Questions

Simplify the following expression.

Be sure to follow the correct oder of operations.

23.3 + 5.4 x 15.75

Answers

Answer:

108.35

Step-by-step explanation:

Order of Operations: PEMDAS

PEMDAS  =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

First, multiply 5.4 with 15.75:

5.4 x 15.75 = 85.05

Next, add:

85.05 + 23.3  = 108.35

108.35 is your answer.

~

Answer:

108.35

Step-by-step explanation:

[tex]23.3+5.4\cdot \:15.75\\\\\mathrm{Multiply\:the\:numbers:}\:5.4\cdot \:15.75=85.05\\=23.3+85.05\\\\\mathrm{Add\:the\:numbers:}\\:23.3+85.05=108.35[/tex]

Use any method to determine whether the series converges or diverges. Give reasons for your answer. sin Choose the correct answer below
A) The series converges because, by the Alternating Series lest, un sin _are nonincreasing for n25 sin
B) The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C.
C) The series diverges because, by the Integral Test,sin dx is divergent -- 0 D.
D) The series converges because, by the Ratio Test, lim sin n-oo

Answers

Answer:

hello the series to your question is missing attached below in the solution is the missing series

Answer :  The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C. ( B )

Step-by-step explanation:

Attached  below is the detailed solution of the question and the series is divergent because p = 1/5 < 1

A segment in the complex plane has a midpoint at -1 + 7i. If one endpoint of the segment is at 3 + 8i, what is the other endpoint?

Answers

The other endpoint

Answer: -5 , 6i

Answer: mark me brainliest please!!

1. -3+(-1)i

2. -7.5+2.5i

3. -5+6i

4. -7+1i

Step-by-step explanation:

edge

Is 32.5 greater or less than 30.8

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)​

Answers

Answer:

32.5 is greater than 30.8

Answer: greater than

Step-by-step explanation:

32.5 is greater than 30.8

32.5-30.8=1.7

The difference is positive, which means 32.5 is greater than 30.8

EXTRA: 32.5 is 1.7 more than 30.8

Hope this helps!! :)

Please let me know it you have any question

Find the slope of the line that passes through each pair of points. Express as a fraction in simplest form. (-4.5, 9.5), (-1, 2.5)

Answers

Answer:

-2x is the slope, the full equation is y=-2x+.5.

Step-by-step explanation:

y=-2x+.5

Answer: The slope is -2.

Step-by-step explanation: Using the slope using the equation (y2-y1/x2-x1) you can find the slope. So 2.5 would be y2, 9.5 would be y1. After you plug in your numbers to the correct variable your answer should be -2.

explain how you got the answer

Answers

Answer:

[tex]\huge\boxed{Center = (3,3),Radius = 2\sqrt{15} }[/tex]

Step-by-step explanation:

Given equation is

[tex]x^2 + y^2 -6x-6y -42 = 0[/tex]

Adding 42 to both sides

[tex]x^2 + y^2 -6x-6y = 42\\[/tex]

Completing squares

[tex]x^2 -6x+y^2 -6x = 42\\(x)^2 - 2(x)(3) +y^2 - 2(y)(3) = 42[/tex]

Adding (3)² => 9 and (3)² => 9 to both sides

[tex](x-3)^2+(y-3)^2 = 42+9+9\\(x-3)^2 + (y-3)^2 = 60\\(x-3)^2 (y-3)^2 = (2{\sqrt{15})^2}[/tex]

Comparing it with [tex](x-h)^2+(y-k)^2 = r^2[/tex] where Center = (h,k) and Radius = r

We get:

Center = (3,3)

Radius = [tex]2\sqrt{15}[/tex]

Help me please thank you

Answers

Answer: 55°

Step-by-step explanation: y and x are supplementary and equal 180°. Triangles also equal 180° so subtract the two angles you know and x is 125°. 180 - 125 = 55°

Answer:

y = 55°

Sum of the interior angles of a triangle = 180°

Therefore, x + 25°+30° = 180°

or, x + 55° = 180°

or, x = 180°-55°

or, x = 125°

Now, x + y = 180° ( straight angles)

125°+y = 180°

y= 55°

How is team performance calculated in SAFE?

Answers

Answer:

By strengthening key elements of their safety and health programs, they also can improve their overall organizational performance. In addition to the social benefits, employers that use leading indicators to find and fix hazards can realize direct savings to their bottom line.

Question Find the product of your age and the number of pets you have.

I am 9 years old and I have 2 pets

Answers

Answer:

18

Step-by-step explanation:

What you would do is becouse is says Product.

product mean the result of multiplication

so all you would do is just multiply 9 by 2 and your answer would be 18.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of your age and the number of pets you have is 18.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that you are 9 years old, also, you have two pets. Therefore, the product of your age and the number of pets you have is,

Product = your age x Number of pets you have

             = 9 x 2

             = 18

Hence, the product of your age and the number of pets you have is 18.

Learn more about Multiplication here:

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Graph the exponential function.
f(x)= -(5/2)^x

Answers

Answer:

  see below

Step-by-step explanation:

Your spreadsheet or graphing calculator can do this for you.

__

If you want to do it by hand, pick a few values for x, compute the corresponding values of f(x), plot those points, and draw a smooth curve through them. You know the horizontal asymptote is y=0, and the whole graph is in the 3rd and 4th quadrants, since the exponential function has been reflected over the x-axis by the leading minus sign.

In​ randomized, double-blind clinical trials of a new​ vaccine, were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second​ dose, of subjects in the experimental group​ (group 1) experienced as a side effect. After the second​ dose, of of the subjects in the control group​ (group 2) experienced as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced as a side effect than subjects in group 2 at the level of​ significance?

Answers

Answer: YES.

the evidence supports this claim.

Step-by-step explanation:

We have that from the complete information,

H0: p1 = p2

Ha : p1 > p2

N1 = 654, P1 = 103/654

N2 = 615, P2 = 52/615

First we have to check the states of typicality that is if n1p1 and n1*(1-p1) and n2*p2 and n2*(1-p2) all are more prominent than equivalent to 5 or not

N1*p1 = 103

N1*(1-p1) = 551

N2*p2 = 52

N2*(1-p2) = 563

All the conditions are met so we can utilize standard typical z table to direct the test

Test measurements z = (P1-P2)/standard mistake

Standard blunder = √{p*(1-p)}*√{(1/n1)+(1/n2)}

P = pooled extent = [(p1*n1)+(p2*n2)]/[n1+n2]

After replacement

Test measurements z = 3.97

From z table, P(Z>3.97) = 0.000036

Thus, P-Value = 0.000036

As the got P-Value is not exactly the given noteworthiness 0.01

We reject the invalid speculation

Thus, we have enough proof to help the claim.that a higher extent of subjects in bunch 1 experienced drowsiness.

cheers I hope this helped !!

Please answer? help me!
Reposting

Answers

Answer:

151 degrees

Step-by-step explanation:

the angle alternate to 50 degrees is also 50 degrees

now, we have 2 angles inside our triangle, we can use the angle sum property to find the third one, which is forming a linear pair with the angle 'x'

so, 29 + x = 180 (linear pair)

hence, x = 151 degrees

a) Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation?

Answers

Yes it dose hope this helped :)

The Range Rule of Thumb is a simple method to estimate the standard deviation based on the range of a dataset.

It states that approximately 68% of the data lies within one standard deviation of the mean, and about 95% of the data falls within two standard deviations of the mean.

In terms of underestimating or overestimating the actual standard deviation, the Range Rule of Thumb tends to underestimate the true standard deviation. This is because the rule assumes a uniform distribution of data within each standard deviation, which is not always the case in real-world datasets. In reality, data distributions can be skewed or have outliers, which the Range Rule of Thumb does not consider.

As a result, relying solely on the Range Rule of Thumb for estimating the standard deviation may lead to inaccuracies, especially in datasets with non-uniform distributions or significant outliers. More robust methods, such as the sample variance and standard deviation formulas, are preferred for accurate estimation.

To know more about Range Rule:

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What is the scale factor & the length of x & y?

Answers

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, thus

scale factor = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] , then

x = [tex]\frac{2}{3}[/tex] × 9 = 2 × 3 = 6

y = [tex]\frac{2}{3}[/tex] × 7 = [tex]\frac{14}{3}[/tex]

How can i get the number 4 using 6 number 3's?

you can use addition, subtraction, multiplication, division and ( )

Answers

Answer:

(3+3)÷3+(3+3)÷3

=6÷3+ 6÷3

=2+2

=4

is correct answer

hope it helped you:)

Given the diagram above, m∠Z is:

Answers

Answer:

120 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a quadrilateral is 360 deg.

2t + 2t + t + t = 360

6t = 360

t = 60

m<Z = 2t = 2(60) = 120

Answer: 120 deg

63,416,831 to the nearest ten thousand help p

Answers

63,420,000 is to the nearest ten thousand

(h) Suppose we sample a new city whose particulate is 13 ppm. If reasonable, create a 95% interval for the predicted rate of childhood asthma in this city. If not reasonable, explain why.

Answers

Answer:

Explanation below

Step-by-step explanation:

First, it seems you are trying to get the 95% confidence interval (not just interval) for the predicted rate of Childhood Asthma in the city.

This city's particulate is 13 ppm.

The answer is "not reasonable".

Why?

This is because no data is given on the children in the city. 13 ppm is the value for the city's particulate; it is not the mean value for the predicted rate of childhood asthma in the city. If this mean value were available, the 95% confidence interval would be created around this mean.

What’s an equivalent expression to 3/5 - 13/5

Answers

Answer:

-2

Step-by-step explanation:

In a different plan for area​ codes, the first digit could be any number from 2 through 5​, the second digit was either 2, 3, 4, or 5​, and the third digit could be any number except 4, 5, or 8. With this​ plan, how many different area codes are​ possible?

Answers

Answer:

Step-by-step explanation:

First digit 2,3,4,5 = 4 different digits.

Second digit 2,3,4,5 = 4 different digits.

Third digit = 1,2,3,6,7,9 = 6 different digits.

Total number of possibilities = 4*4*6 = 96

Steven Kellogg, a machine operator, works at an hourly rate of $10.60 and
earns time and a half if he works any overtime. Given this, last week he
worked 37 hours plus 8 hours overtime. What is his straight-time pay? What
is his overtime pay? What is his total pay?

Answers

Answer:

[tex]Straight\ Time\ Pay = \$392.2[/tex]

[tex]Overtime\ Pay = \$42.4[/tex]

[tex]Total = \$434.6[/tex]

Step-by-step explanation:

Given

Hourly Rate = $10.60

Overtime = half hourly rate

Hours worked = 37 hours

Overtime = 8 hours

Calculating the Straight Time Pay

[tex]Straight\ Time\ Pay = Hourly\ Rate * Hours\ Worked[/tex]

[tex]Straight\ Time\ Pay = 37 * \$10.60[/tex]

[tex]Straight\ Time\ Pay = \$392.2[/tex]

Calculating the Overtime Pay

[tex]Overtime\ Pay = Overtime\ Rate * Overtime\ Hours[/tex]

Since, overtime rate is half of hourly rate; we have

[tex]Overtime\ Pay = \frac{\$10.6}{2} * 8[/tex]

[tex]Overtime\ Pay = \$5.3 * 8[/tex]

[tex]Overtime\ Pay = \$42.4[/tex]

Calculating Total Pay

This is calculated by adding results in (i) and (ii)

[tex]Total = Straight\ Time + Overtime[/tex]

[tex]Total = \$392.2 + \$42.4[/tex]

[tex]Total = \$434.6[/tex]

Hi can you please guide me through the steps to solve this problem? ​

Answers

Answer:

[tex]x = 27 \frac{1}{3} [/tex]

Step-by-step explanation:

The little square on ∠AOC indicates that it is a right angle, which means that ∠AOC= 90°

∠AOC= ∠AOB +∠BOC

90°= (x+8)° +2x°

x +8 +2x= 90

3x +8= 90 (simplify)

3x= 90 -8 (-8 on both sides)

3x= 82

x= 82 ÷3

[tex]x = 27 \frac{1}{3} [/tex]

Find k so that the distance from (–1, 1) to (2, k) is 5 units. k= k= *there are two solutions for 2*

Answers

Answer:

k = -3

k =5

Step-by-step explanation:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\[/tex]

[tex]5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\[/tex]

[tex]\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3[/tex]

A = (-1, 1) and B = (2, k) so:

[tex]d(A,B)=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}=\sqrt{(2-(-1))^2+(k-1)^2}=\\\\=\sqrt{3^2+(k-1)^2}=\sqrt{9+k^2-2k+1}=\sqrt{k^2-2k+10}\\\\\\d(A,B)=5\\\\\sqrt{k^2-2k+10}=5\quad|(\ldots)^2\\\\\big|k^2-2k+10\big|=25\\\\k^2-2k+10=25\qquad\vee\qquad k^2-2k+10=-25\\\\k^2-2k-15=0\qquad\vee\qquad k^2-2k+35=0\\\\\\\Delta_1=(-2)^2-4\cdot1\cdot(-15)=64>0\qquad\text{two solutions}\\\\\Delta_2=(-2)^2-4\cdot1\cdot35=-136<0\qquad\text{no solutions}\\\\\\k_1=\dfrac{2-\sqrt{64}}{2}=\dfrac{2-8}{2}=\dfrac{-6}{2}=\boxed{-3}[/tex]

[tex]k_2=\dfrac{2+\sqrt{64}}{2}=\dfrac{2+8}{2}=\dfrac{10}{2}=\boxed{5}[/tex]

For data at the interval level you cannot calculate meaningful differences between data entries.
a. True
b. False

Answers

Answer: A. FALSE

Step-by-step explanation: The interval scale presents a measurement level for representing numerical variables in an ordered and fixed manner. Measurement are represented on the scale at equal intervals with each difference between consecutive intervals being the same. With this attribute, data represented on an interval scale gives meaningful difference between the data entries also allowing the US to know the size of the interval. Interval scales allows us to make subtraction and addition on data it's data. Examples of data represented on interval scale include, Temperature, ph and other numeric data with arbitrary zero levels

Can anyone help me with this math problem? There are 5 pharmacists where 2 work 35 hours a week, and another 2 work 40 hours a week. While the other is undetermined. Although, the average amount of hours worked among the 5 employees is 40 hours. Use algebra to figure out the value of the undetermined employee’s hours, aka x. By

Answers

Greetings from Brasil...

The expression that allows to calculate the average would be:

M = (A + B + C + D + E )/5

where A, B, C, D and E are the pharmacists....

A and B = work 35

C and D = works 40

E = ??

average = M = 40

M = (A + B + C + D + E )/5

40 = (35 + 35 + 40 + 40 + E)/5

200 = 150 + E

E = 200 - 150

E = 50

So, pharmacists E works 50h/week

Which function is represented by the graph

Answers

Answer:

I think its C

f(x) = -|x-4| + 3

Simplify the equation 4x+3y=45

Answers

Answer: y = -4/3x + 15

3y = 45 - 4x (subtract 4x from both sides)

y = -4/3x + 15 (divide both sides by 3)

Answer:

10.5=x

Step-by-step explanation:

subtract 3y from both sides the divide by 4x which gives you the answer 10.5=x

A proposed design for a habitable Mars colony is a hemispherical
biodome used to maintain a breathable atmosphere for the colonists.
Estimate the radius of the biodome if it is required to contain 5.5
billion cubic feet of air.

Answers

Answer:

r = 1.37 billion feet

Step-by-step explanation:

It is given that,

A proposed design for a habitable Mars colony is a hemispherical  biodome used to maintain a breathable atmosphere for the colonists.

The volume of biodome is 5.5  billion cubic feet of air.

It is in the shape of a hemisphere. The volume of a hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3[/tex], r = radius

V = 5.5 billion cubic feet

[tex]r^3=\dfrac{3V}{2\pi}\\\\r^3=\dfrac{3\times 5.5}{2\times 3.14}\\\\r=(\dfrac{3\times 5.5}{2\times 3.14})^{1/3}\\\\r=1.37\ \text{billion feet}[/tex]

So, the radius of the biodome is 1.37 billion feet.

The radius of the biodome if it is required to contain 5.5  billion cubic feet of air is 1.38 billion feet and this can be determined by using the formula of the volume of the hemisphere.

Given :

A proposed design for a habitable Mars colony is a hemispherical  biodome used to maintain a breathable atmosphere for the colonists.Volume of the biodome is 5.5 billion cubic feet.

The following steps can be used in order to determine the radius of the biodome:

Step 1 - The formula of the volume of the hemisphere can be used in order to determine the radius of the biodome.

Step 2 - Formula of the volume of the hemisphere is given by:

[tex]\rm V =\dfrac{2}{3}\pi r^3[/tex]

where r is the radius of the hemisphere.

Step 3 - Now, substitute the value of V in the above formula in order to determine the value of 'r'.

[tex]\rm 5.5=\dfrac{2}{3}\pi r^3[/tex]

Step 4 - Simplify the above expression.

[tex]r^3=\dfrac{5.5\times 3}{2\pi}[/tex]

[tex]r = \sqrt[3]{\dfrac{16.5}{2\pi}}[/tex]

r = 1.38 billion feet

For more information, refer to the link given below:

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Classify the polygon. Then determine whether it appears to be regular or not regular. heptagon; regular octagon; regular nonagon; not regular octagon; not regular

Answers

Answer: D) Octagon; not regular

Explanation:

There are 8 sides total since there are 2 sides per "arm" of this 4-sided star shape. So we have an octagon.

This octagon is not regular because some of the internal angles are over 180 degrees. This is due to this polygon being concave. In a concave polygon, some vertices are closer to the center compared to other vertices. For a regular polygon to be possible, all vertices must be the same distance away from the center.

In the diagram below, I have marked the vertices in red and blue. The red vertices are closer to the green center point, compared to the blue vertices.

Use the unit circle to find tan 30

Answers

Answer:

√3/3

Step-by-step explanation:

Memorize your unit circle.

30° is π/6 rad

tan(π/6) = √3/3

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