From the top of a 180-foot tall lighthouse, the angle of
depression to a ship in the ocean is 27º. How far is the
ship from the base of the lighthouse?
inch tall me

Answer:

Inches: 12, 36, 60, 108

Feet: 1, 3, 5, 9

Step-by-step explanation:

Inches: 12, 36, 60, 108

Feet: 1, 3, 5, 9

3*12 = 36

60/12 = 5

108/12 = 9

Answer:

about 21 students

Step-by-step explanation:

total students: 150 students enrolled

recognize all letters: 6/7 of the students

To find 1/7 of the students: divided the 150 by 7

150/7 = 21.4285           this is for 1/7th of students

since 1/7th of the students need to learn the alphabet (7/7 - 1/7 = 6/7)

OR

150/7 = 21.4285           this is for 1/7th of students

150/7 x 6 = 128.57        this is for 6/7th of students

150 - 128.57 = 21.4285

Answer:

1.25

Step-by-step explanation:

1/2 of 2.5 is 1.25

Think of it as the following

250 divided by 2 is 125 because 125+125=250

Answer:

5

Step-by-step explanation:

2.5 divided by 0.5 would = 5

Answer:

This app is very good,it help us do our homework.and we make a good passed.

Answer:

B. 6300

Step-by-step explanation:

Answer:

First box is: decreasing

Second box: 0< b< 1

Third box: Up

Fourth box: Right

Step-by-step explanation:

Answer:

14x15-10x10=110

A=110

Step-by-step explanation:

Answer:

First, we'll need to find the length of each side.

10m + 4m = 14m

10m + 5m = 15m

Now that we know the length of 2 sides, let's call them the "North" and "West". The measure or length of "South" is the same as "North" and the measure or length of "East" is the same as "West".

To find the Area of the WHOLE square, we'll need to multiply both lengths.

14 × 15 = 210m^2

To find the area of the given figure:

1. Find the Area of the 10m of the "North" and the 10m of the "West".

10 × 10 = 100m^2

2. Minus the Area of the product of 10m of the "North" and the 10m of the "West" from the Area of the WHOLE square.

210m^2 - 100m^2 = 110m^2

The area of the given figure is 110m^2.

Hope it helps you! ^^

Answer:

C

Step-by-step explanation:

None of the others are vertical angles

a is supplementary angles

b is supplementary angles

d is alternate interior angles

Answer:

600 inches or 50 feet

Step-by-step explanation:

Scale factor = model car : actual car = 1 : 300

We have a 2 inch model car.

Answer:

Executive summary describes the 'big picture behind your business, what your business has to offer the consumer, and why

Step-by-step explanation:

B is right

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

In this question we must apply the concept of total differential to determine the change of the variable z in terms of the changes in variables x and y. That is:

[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex]     (1)

If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the expression for the change of z is:

[tex]\Delta z = 3\cdot \cos (x^{3}+y^{3})\cdot x^{2}\cdot (0.3)+3\cdot \cos (x^{3}+y^{3})\cdot y^{2}\cdot (0.2)[/tex]

Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

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Answer:

Two

Step-by-step explanation:

3,5 or 7 out of possible 12 spins

3 / 12  of the time she will win

$ 4 is   8 spins

8 spins * 3/12 = 2 wins

ANSWER
2 prizes

Step-by-step explanation:

$4 ÷ $0.5 = 8

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

5+7 = 12

3/12

P(win) = 3/12 simplified is  1/4

(1/4) × (8) = 2

Therefore, the answer is two prizes

Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

The table is given as:

                   North market     South market

Cherries          0.96                   0.8

Asparagus       0.5                   0.65

The probability of buying both produce at both markets is calculated as:

P(North) = 0.96 * 0.5 = 0.48

P(South) = 0.8 * 0.65 = 0.52

0.52 is greater than 0.48

Hence, Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

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Answer:

1) 45

2) 6x^2-4xy+10y^2

Step-by-step explanation:

1) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine (a) f(-2, 3)

Replace a with (-2) and b with (3):

3(-2)^2-2(-2)(3)+5(3)^2

3(4)-2(-6)+5(9) *Took care of exponents and performed some multiplication in the middle term.

12-12+45 *performed more multiplication

0+45 *additive inverses property applied

45 *performed some addition

2) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine f(x+y, x-y)

Replace a with (x+y) and b with (x-x-y):

3(x+y)^2-2(x+y)(x-y)+5(x-y)^2

*Explained binomial squares

3(x^2+2xy+y^2)-2(x+y)(x-y)+5(x^2-2xy+y^2)

*Expand product of the sum of two numbers with the difference of said numbers

3(x^2+2xy+y^2)-2(x^2-y^2)+5(x^2-2xy+y^2)

*Distribute

3x^2+6xy+3y^2-2x^2+2y^2+5x^2-10xy+5y^2)

*Combine like terms

6x^2-4xy+10y^2

Answer:

A=(3,6)

B =(9,2)

The distance between AB=√(9-3)^2+(2-6)^2

=3√13

Answer:

Step-by-step explanation:

For the mean you add all the numbers up and divide it by how many numbers there are (hence why it's the meanest!)

For the median you need to arrange the number in order of value/size and fine the middle number

Answer:

See below ~

Step-by-step explanation:

Q2

Q3

Q4

Equation to show the proportional relationship between the regular price, r, of an item and its sale price, s is 10s -7r=0.

A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time, typically to spur sales during a slow period or to sell off excess inventory.

Let the regular price be r and sale price be 's'

Since price of every item reduced by 30%.

So, sale price will be

[tex]s= r- 30% of r[/tex]% of r

[tex]s= r- \frac{30}{100} *r[/tex]

s= r - 0.3 r

s= 0.7 r

s-0.7r=0

or, 10s -7r=0

Thus, equation shows the proportional relationship between the regular price, r, of an item and its sale price, s :10s -7r=0

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Answer:

the system is inconsistent

also ,Check the attached graph

Step-by-step explanation:

let D₁ be the line of equation 3x - 9y = 36

    D₂ be the line of equation 2x - 6y = -8

In order to graph D₁ we need to find two point shot that lie on it.

→ If x = 0 , 3(0) - 9y = 36 ⇔ -9y = 36 ⇔ y = -4

Then the point C(0 , -4) lies on D₁

→ If x = 3 , 3(3) - 9y = 36 ⇔ -9y = 27 ⇔ y = -3

Then the point D(3 , -3) lies on D₁

Therefore,

D₁ is the line that connects the points C and D

Similarly,We can prove that the point she A(-4 , 0) and B(-1 , 1) lie on D₂

Then D₂ = (AB)

After graphing, we notice that D₁ and D₂ are parallel and they don’t have any point in common.

Therefore ,we say that’s the system is inconsistent

Answer:

1. 9 * 10^15 meters per years

2. 3*10^8 meters per second

Step-by-step explanation:

Light travels is given 9,... m per year.

They ask how many meter light trravels per years.

They give you the meter per year so you look at the values and move the decimal and see if it can round to the whole number 9.

Looking at the four next to nine can't round so 9,460,000,000,000 becomes 9 * 10^15 m per year.

Converting meters per year to meter per seconds

[tex]\frac{9*10^5meters}{1 year} *\frac{1year}{365 days}*\frac{1 day}{24 hrs} *\frac{1hr }{60 min}*\frac{1min}{60 secs}[/tex]

The answer should be 2.8*10^8 or 3*10^8 meters per second

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm², hence:

Area of larger region = 7 * 490 cm² = 3430 cm²

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

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Answer:

the answers is -4 for this exerxises

Answer:

  (a)  sin⁻¹(√35/14)

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between sides and angles in a right triangle. Here, the given sides AB and AC are the side opposite angle C, and the hypotenuse (opposite right angle B). That means the relevant relation is ...

  Sin = Opposite/Hypotenuse

  sin(C) = AB/AC

__

For this problem, substituting values gives ...

  sin(C) = (3√5)/(6√7) = (1/2)√(5/7) = (1/2)(√35)/7 = (√35)/14

  C = arcsin((√35)/14)

_____

Additional comment

Choice B can be eliminated on the grounds that the fraction is not reduced to lowest terms. Choices C and D are eliminated because they assume a cosine relation is involved. That is, you can choose the correct answer based on SOH CAH TOA without concerning yourself with the details of the radical expression.

Answer:

1) They will stop 10 times for a break

2) A baker can make 10 cakes

3) Tammy will distrubute 36 bags with 2 1/2 pounds of candy

Step-by-step explanation:

Let me know if you have any questions !

Hope it helps

The probabilities of cases 1, 2, 3, and 4 will be 1/3, 5/36, 1/6, and 1/4 respectively.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The probability is given as

P = Favorable event / Total event

1.  The probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip will be

P = 1/3

2.  The probability that you get an 8 when you are rolling a number cube will be  

P = 5/36

3.  From a letter cube (A, B, C, D, E, and F), Then the probability that a B is on top when you roll the cube will be

P = 1/6

4.  Mila and 3 other applicants apply for a job. Then the probability that Mila gets hired will be

P = 1/4

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