(7.2 x ten to the third) - (2.2 x ten to the fifth)

The scale factor of the triangles will be 17 / 74 or 0.2297.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

The triangle on the right is a scaled copy of the triangle on the left.

Then the scale factor of the triangles will be

⇒ 17 / 74

⇒ 0.2297

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Answer:

7n is a coefficient

Answer:

12. A motion detector can detect movement up to 25 feet away through an angle of 105 degree. What area can the motion detector monitor? Use your knowledge of area of sector of circle. Round your answer to the nearest tenth. (10 Points) O 1,145.4f12 572.7ft2 32812.5 ft2 8268.75 ft2

The area covered by the motion detector which having a radius of 25 feet and an angle of 105 degrees is 572.58 feet.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A motion detector can detect movement up to 25 feet away through an angle of 105 degrees.

Then the area covered by the detector will be

[tex]\rm Area = \dfrac{\theta}{360} \times \pi r^2\\\\Area = \dfrac{105}{360} \times \pi \times 25^2\\\\Area = 572.58 \ ft^2[/tex]

The area covered by the detector is 572.58 square feet.

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Answer:

I NEED THE ANSWER

Step-by-step explanation:

Answer:

25/13

Step-by-step explanation:

Answer and Step-by-step explanation:

With the distributive property, the 8 will distribute itself to the a and the 4, resulting in 8a + 32.

#teamtrees #PAW (Plant And Water)

Answer:

$3.00

Step-by-step explanation:

3t + 2d = 17

3d = 12

d = 4

3t + 8 = 17

3t = 9

t 3

Answer:

A bag of takis is $3

Step-by-step explanation:

3 bags of doritos at $4 a piece

$17-$8=$9

$9/3=$3

Answer:

XI and IX

Line above has arrow heads on both ends.

Step-by-step explanation:

XI and IX

Line above has arrow heads on both ends.

Answer:

Step-by-step explanation:

I know know it that that girl is wrong

The polygon being described is a trapezoid, where one base is twice the length of the other base.

A quadrilateral is a four-sided polygon, having four edges and four corners

The polygon being described is a trapezoid, where one base is twice the length of the other base.

Let the shorter base be b and the longer base be 2b.

To divide the figure into two identical trapezoids, the line must pass through the midpoint of the longer base, creating two trapezoids that are mirror images of each other.

The perimeter of each trapezoid can be found as follows:

Perimeter = sum of lengths of all sides

Hence, the polygon being described is a trapezoid, where one base is twice the length of the other base.

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Answer:

[tex]s=60^{2} h[/tex]

While,

s seconds

h hours.

Answer:

just look

Step-by-step explanation:

Answer:

2/2 + 1/2

Step-by-step explanation:

1 1/2 = 3 / 2

possible fractions = 2/2 + 1/2

Answer

there will be 6 on all three pages

Step-by-step explanation:

divide 18 by 3

Answer:

They have the same domain and range (0,∞)

Step-by-step explanation:

Answer:

B, 6 inches

Step-by-step explanation:

The formula for area is width * height. If the area is the same in both times, increasing height means you must be decreasing width. B has a taller height so must have a shorter width.

7 and 1/2 = 15/2

45 / (15 / 2) = 45 * 2 / 15 = 6 inches

Hey there!!

Let me know if you need an explanation on how I reached my final answer:

As we solve for the first variable in one of the equations, we then substitute the result into the other equation.

Your answer:

Y=2x-5

Let me know if you have any questions or concerns!! Hope this helps!!

Answer:

x=  9     y=5

Step-by-step explanation:

hello :

use phtagor-rul :

y² = 3²+4²

y² =25

so : y=5

same method :

15²=12²+x²

x² =15²-12²

x² =225-144

x² = 81

so : x= 9

Answer:

7 6/7

Step-by-step explanation:

To find the area, multiply 2 1/7 by 3 2/3. Then, simplify to get the answer of     7 6/7.

Answer:

7 and 6/7 in.²

Step-by-step explanation:

2 and 1/7 × 3 and 2/3

Answer:

She would pay $2.80 in sales tax.

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. How much in taxes for $40.00 before taxes?

$2.52 - $36.00

x - $40.00

Applying cross multiplication

[tex]36x = 40*2.52[/tex]

[tex]x = \frac{40*2.52}{36}[/tex]

[tex]x = 2.8[/tex]

She would pay $2.80 in sales tax.

Answer:

1jdjsbsjsnsisn Shane Jana aus she sue euw

Answer:

Number of walnut trees: 4n+15

Answer:

C

Step-by-step explanation:

A: (0,__) (__ is the y-intercept)

In this case it is (0,3) so 3

B: y=mx+b (b is the y-intercept)

-4 is b so -4

C: y=2x+4

4 is b so 4

Let me know if you would like further explanation!!

Answer:

-0.8/ -4/5

Step-by-step explanation:

5(m+1) -1 = 0

5m +5 -1 = 0

5m +4 =0

5m= -4

m= -4/5

Answer:

40.6%

Step-by-step explanation:

first find the increase (increase = 45 - 32) = 13

second divide increase by OG # (13 / 32) = 0.40625

then you multiply by 100

Answer:

41%

Step-by-step explanation:

Answer:

5(20)+2(13-3)+3(8);$144

Step-by-step explanation:

Answer:

Step-by-step explanation:

a=-7

r=21/-7=-3

[tex]a_{15}=a r^{n-1}=-7(-3)^{15-1}=-7(-3)^{14}=-33480783[/tex]

Answer:

The door has a width of 6.26 feet, with a height of 12.52 feet.

Step-by-step explanation:

You can solve this by taking two pieces of information we're given:

1) the diagonal size of the doorway is 14 feet

2) the height of the doorway twice its width

First lets describe the width and height using the diagonal length.  We can do that with the Pythagorean theorem:

w² + h² = 14²

Now we can use the relationship between the width and height to eliminate one variable:

w² + (2w)² = 14²

w² + 4w² = 14²

5w² = 196

w² = 39.2

w ≈ 6.26

So the door has a width of 6.26 feet, with a height of double that, 12.52 feet.

Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The width of the door is 6.26 ft or √(196/5)ft.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the length of the rectangular door is two times its width, therefore, the length and width of the rectangular door are,

Width = x

Length = 2x

Since the measure of the diagonal of the rectangular door is 14 feet, therefore, using the Pythagorus theorem we can write,

x² + (2x)² = 14²

x² + 4x² = 196

5x² = 196

x² = 196/5

x = 6.26099 ≈ 6.26ft

Hence, the width of the door is 6.26 ft or √(196/5)ft.

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Answer:

C)Only III follows

Step-by-step explanation:

Let's review the conclusions;

I. Some proses are songs.

This is false because of the statement; No song is prose.

II. Some epics are lullabies.

This is false because of the following statements; A lullaby is a song. and No song is prose.

III. Some songs are lullabies.

This follows because of the statement; A lullaby is a song.

The correct option is;

C)Only III follows

The correct conclusion based on the logical statements is C) Only III follows.

1. A lullaby is a song.

2. No song is prose.

3. Some proses are epics.

I. Some proses are songs.

II. Some epics are lullabies.

III. Some songs are lullabies.

The first conclusion that some proses are songs is not sound because the earlier claim is that "no song is prose." In the same light, the second conclusion is incorrect because a lullaby is usually a song as asserted in statement 1. While epics can be prose or poem, a lullaby is not prose but a poem or a song.

Thus, the correct conclusion based on the logical statements is C) Only III follows.

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Answer:

a) 0.0008 = 0.08% probability that the number of adults who oppose special tax on junk food and soda is exactly one.

b) 0.9644 = 96.44% probability that the number of adults who oppose special tax on junk food and soda is at least four.

c) 0.7795 = 77.95% probability that the number of adults who oppose special tax on junk food and soda is less than eight.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are opposed to taxes on junk food and soda, or they are not. Each adult is independent of other adults, which means that the binomial probability distribution is used to solve the question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

63% of US adults opposed to taxes on junk food and soda.

This means that [tex]p = 0.63[/tex]

You randomly select 10 US adults.

This means that [tex]n = 10[/tex]

(a) exactly one

This is [tex]P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{10,1}.(0.63)^{1}.(0.37)^{9} = 0.0008[/tex]

0.0008 = 0.08% probability that the number of adults who oppose special tax on junk food and soda is exactly one.

(b) at least four

This is

[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]

In which

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.63)^{0}.(0.37)^{10} \approx 0[/tex]

[tex]P(X = 1) = C_{10,1}.(0.63)^{1}.(0.37)^{9} = 0.0008[/tex]

[tex]P(X = 2) = C_{10,2}.(0.63)^{2}.(0.37)^{8} = 0.0063[/tex]

[tex]P(X = 3) = C_{10,3}.(0.63)^{3}.(0.37)^{7} = 0.0285[/tex]

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0008 + 0.0063 + 0.0285 = 0.0356[/tex]

[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0356 = 0.9644[/tex]

0.9644 = 96.44% probability that the number of adults who oppose special tax on junk food and soda is at least four.

(c) less than eight

This is

[tex]P(X < 8) = 1 - P(X \geq 8)[/tex]

In which

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{10,8}.(0.63)^{8}.(0.37)^{2} = 0.1529[/tex]

[tex]P(X = 9) = C_{10,1}.(0.63)^{9}.(0.37)^{1} = 0.0578[/tex]

[tex]P(X = 10) = C_{10,2}.(0.63)^{10}.(0.37)^{0} = 0.0098[/tex]

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1529 + 0.0578 + 0.0098 = 0.2205[/tex]

[tex]P(X < 8) = 1 - P(X \geq 8) = 1 - 0.2205 = 0.7795[/tex]

0.7795 = 77.95% probability that the number of adults who oppose special tax on junk food and soda is less than eight.