The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56 cm. Find the lengths of the sides of the rectangle.

The product of the numbers 0.04,-0.9,1.5 is -0.054 because the multiplication of negative and positive quantities is negative.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

As we know, we can apply the arithmetic operation to any real numbers

Also, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The numbers are:

0.04, -0.9, and 1.5

= 0.04x-0.9x1.5

First, multiply the first two numbers 0.04 and -0.9

= -0.036x1.5

(The multiplication of negative and positive quantity is negative)

= -0.054

Thus, the product of the numbers 0.04,-0.9,1.5 is -0.054 because the multiplication of negative and positive quantity is negative.

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Answer:

His method is incorrect. By finding 1/2 the width and 1/2 the length, if we multiply them , we would get 1/4 of the original area.

Area = 0.5*l*0.5*w = 0.25*l*w = l*w/4

Let us establish

length = l

width = w

Original Area = l*w

Half the area = (a*l)*(b*w) = 0.5*(l*w)

This means that

a*b = 0.5

if b is equal to a, then

a = √0.5  = √2/2 = 0.707

Then,  if a factor of a, where to be introduced in the lenght and width of the tile, we would  obtain  half the area.

The mean is the sum of data given to the total sample size.. The mean, median, mode, and range are -25, -28.-28, and 40 respectively

The mean is the sum of data given to the total sample size.

Mean = Sum of data/sample size
Mean =  -11-28-17-25-28-39-6-46/8
Mean =  -200/8
Mean = -25

Calculate the median

Median is the middle number after rearrangement

-46, -39, -28, -28, -25, -17, -11, -6
From the arrangement, the median of the data is -28

Calculate the mode

The mode is the value with the highest frequency. From the data given, the mode is -28

Range:

Range = highest value - lowest value

Range = -6 - (-46)
Range = 40

Hence the mean, median, mode and range are -25, -28.-28 and 40 respectively

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Answer: True

Step-by-step explanation:

I don’t have one I know the answer because I am currently taking the quiz right now.

The speed of the polar bear is found by dividing the distance swam (390 meters) by the time it took (150 seconds). This results in a speed of 2.6 meters per second.

The subject of your question is related to the calculation of speed, which falls under Physics. The polar bear swims 390 meters in 150 seconds. To find the speed, we apply the basic formula which is Speed = Distance/Time. Here, the distance is 390 meters, and the time is 150 seconds.

So if we divide 390 by 150, we get 2.6 meters per second. This means the speed of the polar bear is 2.6 m/s.

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replace x with y and y with x,

the answer is the option A.) Y=log 6x 

Answer:

A

Step-by-step explanation:

edge 2021

answer is 1

as Shelley has to live in Boston for only 2 years, she needs to consider that the owner is flexible enough to make 2 year rent agreement and the short term rent of the house.

Other choices are irrelevant. they may be applied while purchasing home with long term aim to stay in the place.

To find who ran faster, we have to find the speed of Max and Molly

The formula for speed is given as Distance/Time

Max's speed

Distance Max ran  = 50 meters

Time = 30 seconds

Speed = 50 m/30s

= 1.67 meters/second

Molly's speed

Distance Molly ran = 30 meters

Time = 5  seconds

Speed = 30m/5s

= 6 meters/second

Therefore, Max ran faster than Molly with a speed of 1.67 meters/second.

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Show that n is odd →∃m∈ℤ,n2=8m+1

Let k be an integer so that n=2k+1. Then n2=(2k+1)2=4k2+4k+1=2(2k2+2k)+1.

But this isn't equal to 8m+1, so can I change that into 4(2m)+1?

Answer:

C. J-Shaped graph

Step-by-step explanation:

A. T-Shaped graph

T- shaped graph can represents a rational function or quadratic function

B. S-Shaped graph

S shaped graph represents a cubic function. because it crosses x axis at two points.

C. J-Shaped graph

J shaped graph represents exponential function. the graph of J shape goes on increasing so its an exponential growth

D. Straight horizontal line

Straight line graph represents linear equation.

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

If two figures are similar. then the ratio of its areas is equal to the scale factor squared

In this problem we have a tile with a length of 1 foot by a width of 1 foot

The area of the tile is equal to

[tex]A=LW[/tex]

substitute the values

[tex]A=(1)(1)=1\ ft^{2}[/tex]

Let

z-------> the scale factor

x------> the area of 1/2 tile

y------> the area of the original tile

so

[tex]z^{2} =\frac{x}{y}[/tex]

substitute

[tex]z^{2} =\frac{(1/2)}{1}[/tex]

[tex]z=\frac{\sqrt{2}}{2}[/tex] -----> scale factor

therefore

To find the area of 1/2 tile must multiply the dimensions of the tile by the scale factor

so

[tex]L=1*\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}\ in[/tex]

[tex]W=1*\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}\ in[/tex]

Calculate the area

[tex]A=\frac{\sqrt{2}}{2}*\frac{\sqrt{2}}{2}=\frac{1}{2}\ ft^{2}[/tex]

Martin's method is incorrect because to find the area of 1/2 tile, he multiplies the dimensions by 1/2

so

[tex]L=1*\frac{1}{2}=\frac{1}{2}\ in[/tex]

[tex]W=1*\frac{1}{2}=\frac{1}{2}\ in[/tex]

the area will be

[tex]A=\frac{1}{2}*\frac{1}{2}=\frac{1}{4}\ ft^{2}[/tex]

Answer:

128 Shoppers prefer bananas.

Step-by-step explanation:

In the question it is given that 400 shoppers were surveyed to determine their favorite fruit.

Among all of them 32% people like bananas.

So to find out how many people prefer bananas, we just calculate 32% of 400.

32% of 400

[tex]\frac{32}{100}[/tex] × 400

0.32 × 400 = 128

128 Shoppers prefer bananas.

To determine how often ATM withdrawals must be made for the local savings account to be a better deal than the online savings account, we compare the interest earned and ATM fees. By solving the inequality, it is found that more than $14.06 ATM withdrawals must be made in a year.

To determine how often you must make ATM withdrawals for the local savings account to be a better deal than the online savings account, we need to compare the interest earned from each account and the fees associated with ATM withdrawals. Let's assume the time period is one year.

For the local savings account, you earn interest of 1.75% annually. So, if you deposit $3,750, you will earn ($3,750 * 1.75%) = $65.63 in interest.

For the online savings account, you earn interest of 3.25% annually. However, each ATM withdrawal incurs a fee of $4. Let's assume you make 'x' withdrawals in a year. So, the total interest earned would be ($3,750 * 3.25%) - ($4 * x).

We need to find the point where the interest earned from the online savings account is less than the interest earned from the local savings account. This can be calculated as:

($3,750 * 3.25%) - ($4 * x) < $65.63

Simplifying this inequality, we get:

0.0325 * $3,750 - $4 * x < $65.63

Adding $4 * x to both sides, we have:

0.0325 * $3,750 < $65.63 + $4 * x

Simplifying further, we get:

$121.87 < $65.63 + $4 * x

Subtracting $65.63 from both sides, we have:

$121.87 - $65.63 < $4 * x

Simplifying again, we get:

$56.24 < $4 * x

Dividing both sides by $4, we find:

$14.06 < x

So, you must make more than $14.06 ATM withdrawals in a year for the local savings account to be a better deal than the online savings account.

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Answer:

its B

Step-by-step explanation:

The solution to the given equation is 6. Therefore, the correct answer is option B.

The given equation is x+6=x+x.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, x+6=2x

Transpose x to other side of the equation, we get

2x-x=6

x=6

Therefore, the correct answer is option B.

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Answer:

40

Step-by-step explanation:

Given that Anita divides 1438 by a multiple of 10

i.e. she might have divided by 10 or 20 or 30 .....

The tenth column is 3

So quotient value would be

30+d for some d in the unit column

It may be 31 or 32.....

Say it is 31, then 1438/31 =46.38 and

1438/39 = 36.87

i.e she must have divided by 40 only

Verify:

1438/40 =35 as quotient and 38 as remainder.

So she divided by 40

The rectangle's length is 12 cm, and the width is 9 cm, calculated by setting up a system of equations using the given perimeter and the relationship between length and width.

To find the length and width of the rectangle when given its perimeter and a relationship between its length and width, we can set up a system of equations. First, let's denote the length of the rectangle as L and the width as W. According to the question, the width is 3 centimeters more than half the length, so we have W = ½L + 3.

Since the perimeter (P) of a rectangle is given by P = 2L + 2W, and we know the perimeter is 42 centimeters, we can set up an equation: 42 = 2L + 2(½L + 3). Simplifying this, we get 42 = 2L + L + 6 or 42 = 3L + 6. Subtracting 6 from both sides gives us 36 = 3L or L = 12 centimeters for the length.

Now we can find the width using the previous relationship W = ½L + 3. Substituting the value of L, we get W = ½(12) + 3 = 6 + 3 = 9 centimeters for the width.

Therefore, the length is 12 centimeters and the width is 9 centimeters.

Answer:

m∠x = 63°

m∠y =45°

m∠z = 72°

I hope this helps! :)

Answer:

Step-by-step explanation:

It is given that ABCD is a parallelogram, thus by using the properties of parallelogram, we have

∠A=∠C (Opposite angles of parallelogram are equal)

⇒∠x=63°

Thus, the measure of angle A that is x is 63°.

Now, ∠ABC+∠BCD=180°(Corresponding angles of parallelogram)

⇒∠ABD+∠DBC+63=180

⇒∠DBC=180-135

⇒∠DBC=45°

Thus, y=∠DBC=45° (Alternate angles)

and z=∠DBA=72° (Alternate angles)

Hence, the measure of angle x, y and z are 63°, 45° and 72° respectively.

Answer:

Sally walks at a speed of 2 kilometers per hour.

Step-by-step explanation:

Given data

We can find the speed (v) of Sally using the following expression

v = d/t = (1/2 km) / (1/4 h) = 2 km/h

Sally walks at a speed of 2 kilometers per hour.