In 2007, approximately 3,380,000 people visited the Statue of Liberty. Express this
number in scientific notation.

Answer:

The answer is "[tex]\bold{17456.6 \ ft}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\sin \theta = \frac{P}{h}\\\\\to BC =x\\\\\to BD =y\\\\[/tex]

The height of tower (AB) = 300 ft

Distance = CD

[tex]\Delta ABC \\\\\sin \theta = \frac{AB}{AC}\\\\\sin (2.5) = \frac{300}{AC}\\\\Ac= \frac{300}{\sin (2.5)}\\\\AC= 6877.68 \\\\\Delta ABD \\\\\sin \theta = \frac{AB}{AD}\\\\\sin (1.3) = \frac{300}{AD}\\\\AD= \frac{300}{\sin (1.3)}\\\\AC= 1322.33[/tex]

calculating CD :

[tex]CD^2 = AC^2 +AD^2 -2\cdot AC \cdot AD \cdot \cos(117^{\circ}) \\\\CD = \sqrt{(6877.68)^2 +(13223.23)^2 -2\cdot (6877.68) \cdot (13223.23) \cdot \cos(117^{\circ})}\\\\CD =\sqrt{47302482.1824 + 174853811.6329 - 82576463.207}\\\\CD= \sqrt{304732757.02}\\\\CD= 17456.6 \ ft[/tex]

Step-by-step explanation:

The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.

Answer:

The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

15/20

Step-by-step explanation:

1. Take the denominator of 3/4 and multiply it by 5 because that is what it takes to get 20 from 4.

4 x 5 = 20.

2. Multiply the numerator by 5 as well.

15/20

Answer:

3 / 4 =  15 / 20

Step-by-step explanation:

I think thats right

Answer:

126p

Step-by-step explanation:

56 divided by 4 = 14p per ounce

14 x 9 = 126p per 9 oz.

Answer:

A: 428.75/ 24.5 = $17.50 per sq foot

B: 62.50*24.50 = $1,531.25

C: 428.75 + 1,531.25 + 137.50 = $2,097.50 for the total replacement

Step-by-step explanation:

9514 1404 393

Answer:

  32.9

Step-by-step explanation:

The ratio of long side to hypotenuse is the same for all of the triangles in the figure.

  AD/AB = AB/AC

  AB^2 = AD·AC = 30·36

  AB = 6√30 ≈ 32.863

To the nearest tenth, AB ≈ 32.9.

Answer:

36 sticks

Step-by-step explanation:

if they use 45 in 5 hours do 45÷5=9

9×4=36

Answer:

The solution set is {x : x ∈ R, x < -7} ⇒ A

Step-by-step explanation:

Let us solve the question

∵ x + 2 < -5

→ Subtract 2 from both sides of the inequality

∴ x + 2 - 2 < -5 - 2

∴ x + 0 < -7

∴ x < -7

→ By using the second rule above

∴ The solution set is {x : x ∈ R, x < -7}

Answer:

2 bags of topsoil.

Step-by-step explanation:

The attached figure shows a flower bed.

One bag of topsoil covers 15 square meters.

We need to find how many bags of topsoil does Tom need to cover his flower bed.

The area of the flower bed is :

[tex]A=\dfrac{1}{2}\times 12\times 5\\\\=30\ m^2[/tex]  

Let he has to cover x bags of topsoil. So,

x = Area of flower bed/Area of 1 bag of top soil

x = 30/15

x = 2

Hence, he will need 2 bags of topsoil to cover his flower bed.

Answer:

[tex]5y=-x+23\\[/tex]

Step-by-step explanation:

Since the equation of the line is perpendicular to the line y = 5x +6

we can use the formula:

[tex]m_1m_2=-1\\[/tex]

where m1 is the slope of the line we have and,

m2 is the slope of the line we need

so here m1 is 5 as we compare it with the slope-intercept form our slope is:

[tex]y=5x+6\\y=mx+b[/tex]

our m1 is 5 but we need m2 so plugging in the value we get m2 to be:

[tex]m_1m_2=-1\\5m_2=-1\\m_2=-1/5\\[/tex]

and now we have our m2, now furthermore since the line passes through the point (-2 , 5) it means the point must lie on the line and satisfy it. We can use this point and the slope m2 and find out the equation by the point-slope form equation:

[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{5}(x-(-2))\\\\5(y-5)=(-1)(x+2)\\5y-25=-x-2\\5y=-x-2+25\\5y=-x+23\\[/tex]

Answer:

Step-by-step explanation:

The equation of a horizontal line is y = b where b is the y-intercept. Since the slope of a horizontal line is 0, the general formula for the standard form equation, y = mx + b becomes y = 0x +b y = b. Also ,since the line is horizontal, every point on that line has the exact same y value. This y-value is therefore also the y-intercept.

Answer:

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

Step-by-step explanation:

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

Answer:

I think B or C

Step-by-step explanation:

I think B or C because it is the closest to 52.8.

Hope this helps you.

The answer is B

Because when you round 52.8 you would get 53 but because 53 isnt an option you would do 54 because 54 is closer to 53 than 50. Then you woukd divide because Alexandra is dividng the bags equally into 9 bags.

Answer:

7 / 12 is the answer

hope this answer will help you

Answer:

$150

Step-by-step explanation:

3% of $500 is $15

$15 ×10 is $150

Answer: 16

Step-by-step explanation:

Answer:

41.68201 km=25.9 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

5m=8k

25.9m = ?k

25.9/5 = 5.18

5.18 X 9 = 46.62

Therefore 25.9 miles is 46.62 km

Answer: $30

Step-by-step explanation:

Let the amount paid to water the yard be represented by x.

Since her mother pays her twice as much to mow the yard as she does to water the yard. Therefore, the amount to mow the yard would be 2x.

Therefore,

2x + x = $45

3x = $45

x = $15

The amount to mow the front yard would be:

= $15 × 2

= $30

Answer:

Option (D) is correct.

Step-by-step explanation:

We know that exponential decline in Math can be termed as a consistent reduction of an amount by percentage over a certain period of time.

It can be expressed using the formula

y = a (1-b)ˣ

here

Now, map our problem using the same concept formula

as

3000 students were enrolled, so

as High School has been experiencing an annual  decline of 2.2% in enrollment, so

so substituting b = 0.022 and a = 3000

y = a (1-b)ˣ

y = 3000 (1 - 0.022)ˣ

as

so the expression becomes

y = 3000 (0.978)ˣ

Therefore, option (D) is correct.

Answer:

1)

Step-by-step explanation:

We just need to find a rate where the ratio of miles to gallons is 13:1

This only works for 1) 26 miles 2 gallons since 26/2 = 13/1

Answer:

I think it would be the first one. 26 miles 2 gallons

Step-by-step explanation:

Every gallon would be 13 miles. If you multiply 13 by 2 and 1 gallon by 2, you'll get 26 miles 2 gallons.

Answer:

x = 8

Step-by-step explanation:

6x - 5 = 5x + 3

6x - 5x = 3 + 5 (combining like-terms)

x = 8

Hope this helps!

Answer: i believe its yes

Step-by-step explanation:

Answer:

B. Yes

Step-by-step explanation:

Answer:

8x time 2x= 16

Answer:

c) only Anne

Step-by-step explanation:

I just did the test. Hope this helps! : )

[tex]slope = \tan(angle \: made \: by \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: line \: with \: x \: axis) [/tex]

[tex]or \: [/tex]

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

Answer:

4

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Since both denominators are the same, you can cancel them out.

Now all you have to solve is 4x-1=11 which means x=3