The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

Answer:

x = 25

Step-by-step explanation:

Use Pythagoras' Theorem \(a^s+b^2=c^2\)

where a and b are the legs and c is the hypotenuse of a right triangle

\(\implies 7^2+24^2=x^2\)

\(\implies 49+576=x^2\)

\(\implies 625=x^2\)

\(\implies x=\sqrt{625}\)

\(\implies x=\pm25\)

\(\implies x = 25\) only, as distance is positive

Use Pythagorean theorem

\(\\ \rm\longmapsto x^2=24^2+7^2\)

\(\\ \rm\longmapsto x^2=576+49\)

\(\\ \rm\longmapsto x^2=625\)

\(\\ \rm\longmapsto x=25\)

Answer:

(BD)^2 + (DC)^2 = (BC)^2

(BD)^2 + (15)^2 = (25)^2

(BD)^2 +225 =625

(BD)^2= 400

BD= 20cm

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

35^2+12^2=37

Answer:

land

Step-by-step explanation:

because,bus are more comfortable and easier other transportation are dangerous than land transportation ❤️

hope i helped u

Answer:

Area = 81; Side Length = 3

Step-by-step explanation:

The area of a square is the side lenght squared, and 9² is 81.

The side lengh can be found by taking the square root of the area. √9 = 3

Answer:

your answer will be

1 -y is a variable

3- y is a term

4 -9 is a constant

6- 9 is a term

Step-by-step explanation:

if i'm wrong please correct me i hope i helped though

Answer:

\(\dfrac{dV}{dt}=502.65\ mm^3/s\)

Step-by-step explanation:

The volume of a sphere is given by :

\(V=\dfrac{4}{3}\pi r^3\)

The rate of change of volume means,

\(\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}\)

We have, \(\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm\)

So,

\(\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s\)

So, the volume is increasing at the rate of \(502.65\ mm^3/s\).

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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The response to the given question would be that As a result, there is a probability 1.3% chance (or about 0.013) that a random sample of 50 seniors will have a mean score of no higher than 415.

Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.

The sample mean's sampling distribution may be approximated using the central limit theorem as having a mean of 425 and a standard deviation of\(80\sqrt(50) = 11.31.\)

z is equal to (x - mu) / (sigma / sqrt(n))

where n is the sample size, x is the sample mean, mu is the population mean, sigma is the population standard deviation.

When we enter the values, we obtain:

\(z = (415 - 425) / (80\sqrt(50)) = -2.23\)

As a result, there is a 1.3% chance (or about 0.013) that a random sample of 50 seniors will have a mean score of no higher than 415.

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Answer:

circle

Step-by-step explanation:

You can see there is a x^2 and y^2 and 24 x and 26 y meaning if you do complete the square you can write it as a circle in standard form

Answer:

\((\frac{x1 + x2}{2}, \frac{y1+y2}{2}\))

Step-by-step explanation:

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

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The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

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The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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Answer:

ln which class's do you are

Answer:

i think its 43

Step-by-step explanation:

2 x X + 7 = 93

substract 7 from both sides then divide both sides by 2

Answer

Option B is correct.

Explanation

The scale factor for dilating any figure (reducing or enlarging any figure) is given as

Scale factor = (Length of the image figure)/(Length of original figure)

For this question, we have been told that triangle ABC is the original image and triangle DEF is the new image figure after the dilation occurs.

Note that you need to use corresponding sides in the calculation of scale .factor

Scale factor = (Length of the image figure)/(Length of original figure)

Length of the image figure = 5 ft.

Length of original figure = 10 ft.

OR

Width of the image figure = 3 ft.

Width of the first image figure = 6 ft.

Scale factor = (Length of the image figure)/(Length of original figure)

Scale factor = (5/10) = (3/6) = ½

Hope this Helps!!!

Answer:

x = -5/2, -1, 1

Step-by-step explanation:

Step 1: Factor

Step 2: Replace y with 0

"f(x)" is the same as "y = "

-Chetan K

When the ferris wheel rotates once every four minutes, your seat will be above 15 meters for 77.4 seconds of each revolution.

The spikes that go through the middle of a cycle's wheel from one end to the other are an illustration of diameter. Since the diameter is the line segment that begins at one end of a circle and finishes at the other end of the circle, passing through the center, we can compare this to the diameter of a circle. The diameter of a circle cuts through the center, whereas the radius circumscribes the circle from edge to edge. The size of a circle essentially divides it in two. the distance in a straight line going from one edge of a tumor or other item, through the middle, and out the other edge.

given

d = 20 m

r = 10 m

θ = θ1 + 90°

tan θ1 = 5 /10

θ1 = 26°

θ = 26° + 90°

= 116°

that wheel was rotated 116° for you to be at 15 m elevation .

wheel rotates 360° in 4 min

time taken for the wheel to rotate 116° will be

time taken = (116° / 360°) * 4 min

1.29 min = 77.4 sec

When the ferris wheel rotates once every four minutes, your seat will be above 15 meters for 77.4 seconds of each revolution.

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Answer:

7) subtract 4 from the function then solve

8) add 3 to the function then solve

9) add 6 to the function then solve

10) stays the same

Step-by-step explanation:

The graph representing the solution will be of the form a line tending towards left from the point -7/22.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Here the given inequality is less than inequality.

1/7 m < -1/22

Dividing both sides by 1/7, we get,

m < -1/22 ÷ 1/7

m < -1/22 × 7/1

m < -7/22

Hence the graph of the solution will be of the form a straight line tending leftwards from -7/22.

Hence the graph of the given inequality is a straight line tending leftwards from -7/22.

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Answer:

3x-1y

Step-by-step explanation:

i think that Is that

Answer:

what is 4x+3y-x-4y?

Simplify the expression.

Final answer: 4x+3y-x-4y = 3x-y

Step-by-step explanation:

I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.

Have a great rest of your day/night!

Answer:

the answer is (2•5x5y3)

Step-by-step explanation:

1.  (2x4 • y3) • 5x

Multiplying exponential expressions

2. x4 multiplied by x1 = x(4 + 1) = x5

Final result :

(2•5x5y3)

Sorry if I'm wrong

Answer:

10 x ^5 y^ 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

multiple by the domanatior to get the answer

Answer:

1.646%

Step-by-step explanation:

Sample size (n) = 2000

Sample Proportion p = 17% = 0.17

α = 0.95

Margin of Error :

Z(1-α)/2 * √((p*(1 - p)) /n)

Z(1 - 0.95/2) * √((0.17 * (1 - 0.17) / 2000)

Zscore = 1.96

1.96 * √(0.1411/2000)

1.96 * √0.00007055

1.96 * 0.0083994

Hence,

1.96 * 0.0083994

= 0.0164628

= 0.0164628 * 100%

= 1.646%

The margin of error for the random sample 2,000 driver's license applications is 1.646%.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

It can be found out using the following formula.

\(MOE=Z_{\frac{\alpha}{2}}\times\left(\sqrt{p\times\dfrac{1-p}{n}}\right)\)

Here, α is the level of significance, n is the sample size and p is the sample proportion.

A random sample of 2,000 driver's license applications found that 17% reported their eye color as blue.

Let level of significance is 0.05. At this level of significance the critical value of Z is 1.96. Put the values in the above formula as,

\(MOE=(1.96)\times\left(\sqrt{0.17\times\dfrac{1-0.17}{2000}}\right)\\MOE=0.01646\\MOE=1.646\%\)

Thus, the margin of error for the random sample 2,000 driver's license applications is 1.646%.

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Sorry but I don't see anything but your words...

What am I supposed to be answering?

Answer:

Nv5 my dude

Step-by-step explanation:

Given dimensions of the room:

Length: \(\displaystyle\sf 12.5 \,m\)

Width: \(\displaystyle\sf 9 \,m\)

Height: \(\displaystyle\sf 7 \,m\)

Area of each wall:

\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)

\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)

Area of each door:

\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)

Area of each window:

\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)

Total area occupied by doors:

\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)

Total area occupied by windows:

\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)

Total wall area excluding doors and windows:

\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)

\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)

\(\displaystyle\sf = 275 - 6 - 6\)

\(\displaystyle\sf = 263 \,m^2\)

Cost of painting the walls:

\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)

\(\displaystyle\sf = 263 \times 3.50\)

\(\displaystyle\sf = 920.50 \,Rs\)

Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.

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