There is a lighthouse on top of a cliff. The light of the lighthouse is 200 feet above sea level. It can be seen on the deck of a ship that is 25 feet above sea level. If the angle of depression from the light of the lighthouse to the deck of the ship is 30 degrees, then how far from the cliff is the ship, to the nearest foot?

Answer:

Pyramid Surface Area = .5 * Perim of Base * Slant Height

Slant Height^2 = 144^2 + 140^2

Slant Height^2 = 20,736 + 19,600

Slant Height^2 = 40,336

Slant Height = 200.8382433701

Surface Area = .5 * perim of base * slant height

Surface Area = .5 * 1,200 * 200.8382433701

Surface Area = 120,503 square meters

Source = www.1728.org/volpyrmd.com

Step-by-step explanation:

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]1\ hr = 10\ miles[/tex]

Required

The graph that shows the number of miles in x hours

We have:

[tex]1\ hr = 10\ miles[/tex]

Multiply both sides by x

[tex]x * 1hr = 10miles * x[/tex]

[tex]xhr=10x\ miles[/tex]

So, the function is:

[tex]f(x) =10x[/tex]

Answer:

a = - 1

b = - 9

c = 9

d = 3

e = 3

f = 2

g = 3/2

Step-by-step explanation:

For a;

6 - 2x = - (2x - 6)

For b;

-1 * 9 = - 9

For x ;

3x + (-9) = 3x - 9

3x - 9 = d(x - e)

Factorizing :

3(x - 3)

d = 3 ; e = 3

2x - 6 = f(x - 3)

Factorize :

2x - 6 = 2(x - 3)

3(x - 3) / 2(x - 3)

g = 3/2

Answer:

The area is 112.

Step-by-step explanation:

14 x 16 = 224

224/2 = 112

If you mirror the graph along the x axis and it lies on itself ( mirror image) it is even, if not it is odd.

If you mirror the top graph the high/ low points would be opposite so the top graph is odd

The bottoms graph can be mirrored so the bottom graph is even.

Answer:

7/2, 5/4

Step-by-step explanation:

Answer:

x = 7/2 and y = 5/4

Step-by-step explanation:

2(5x - 2y = 15)

2x + 4y = 12

10x - 4y = 30

2x + 4y = 12                 (add)

-----------------

12x = 42

x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]

2x + 4y = 12         (subsitute)

2([tex]\frac{7}{2}[/tex]) + 4y = 12

7 + 4y = 12

4y = 5

y = [tex]\frac{5}{4}[/tex]

Answer:

871.5

Step-by-step explanation:

directly proportional

y = kx

y = 12 when x = 14

12 = k(14)

k = 12/14

k = 6/7

--------------------------

what is the value of x when y = 747

747 = (6/7) * x

Multiply both sides by 7/6

747 * 7/6 = x

871.5 = x

Answer:  I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'

Step-by-step explanation: Happy Pride Month!!

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

-TheUnknownScientist

Answer: 2^3 x 2^4

Step-by-step explanation:

The value of the exponential expression is A = 2³.2⁴ = 128

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the value of the exponential equation be A

Now , the first expression is p = 2³

The value of p = 8

Now , the second expression is q = 2⁴

The value of q = 16

From the laws of exponents , we get

p.q = 2³.2⁴ = 2³⁺⁴

The value of A = 2⁷ = 128

Hence , the exponential equation is 2⁷ = 128

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ5

Answer:

3

Step-by-step explanation:

Answer:

x^2 -2x-24

Step-by-step explanation:

Answer: (x+4)(x-6)

Step-by-step explanation: Plato Answer

Answer:

Rotation:

Step-by-step explanation:

Translation is usually movements like up, down, left, right.

Dilation is when one shape is bigger/smaller than the other, but still congruent.

Reflections are usually done over an axis (x or y), and don't change the degree at which a shape is turned. From looking at the triangles, you can see that one triangle was turned clockwise.

9514 1404 393

Answer:

  a) 3.18 years

  b) 13.52 years

  c) 23.10 years

Step-by-step explanation:

Solving for t, we find ...

  A = Pe^(rt)

  A/P = e^(rt)

  ln(A/P) = rt

  t = ln(A/P)/r

For P=100 and r=.03, the times are ...

a. $110: t = ln(110/100)/.03 ≈ 3.18 years

b. $150: t = ln(150/100)/.03 ≈ 13.52 years

c. $200: t = ln(200/100)/.03 ≈ 23.10 years

Answer:

Tens

Step-by-step explanation:

it’s really easy if you know your place values just go ones,tens,hundreds,thousands and keep going but the answer is tens place.

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.

Solution:

Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.

Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³

Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³

Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:

number of cone cups = 45π in³ / π in³ = 45 cups

Hence 45 cups of the cone would be needed to fill the cylindrical bottle

Answer:

y=3x-6

Step-by-step explanation:

(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.

(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.

Plugging in the two points from the graph.

Hence, y=3x-6

SAS IS YOUR ANSWER!

HOPE THISE HELPS

Answer: 154 sq cm

Step-by-step explanation:

Answer:

6x - 15

6x - (5 · 3)

(3 · 2x) - 15

So, for #1, we can just simplify 3(2x - 5) to get another expression:

3(2x - 5),

6x-15

For the next one, we could make a new equation that equals 6x-15:

(3x)+(3x)+(5 *-3)

Then for the last one, how about rewrite it so all of the values are inversely negated?

3(2x - 5),

-3(-2x +5)

Answer:

213

Step-by-step explanation:

(31x7)-4

Answer:

with what plz explain the question

Answer:

16

Step-by-step explanation:

Answer:

a=15

b=7

c=4

Step-by-step explanation:

[tex]\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }[/tex]

Answer:for the permieter dont you just add both sides?

Step-by-step explanation:

Answer:

Y = 10.1 + 1.50x

Step-by-step explanation:

From the data contained in the computer output for linear regression

The coefficient of intercept = 10.1

coefficient of fertilizer = 1.50

Sample of an Equation of least squares regression line

y = a + bx

where : a = intercept , b = slope

hence the required equation will be

Y = 10.1 + 1.50x

y = yield , x = fertilizer

Answer:

price for senior citizen is $11

price for child ticket is $8