Points A and B are 100m apart on a coastline.
B is directly east of A.
A lighthouse is out at sea.
The bearing of the lighthouse is
164 degrees from A and
217 degrees from B
The angle of elevation of the top of the lighthouse from A is 27 degrees.
Find the distance of the lighthouse from A.
Find the height of the lighthouse.

9/8

Step-by-step explanation:

divides 72 por 8 que es 9, y 64 dividido entre 8 es 8 dando te 9/8.

Answer:

Step-by-step explanation:

m x n / p + (-n) =5 X 8 / -2 + (-8) =-20-8=-28

Sales tax on helicopter

[tex]\sf\longmapsto 0.6(110.99)=6.65[/tex]

Cost of one helicopter

[tex]\sf\longmapsto 110.99+6.65=117.64[/tex]

Now

[tex]\sf\longmapsto 0.85(1200)= 1020[/tex]

Total helicopters:-

[tex]\sf\longmapsto 1020/117.64\approx 9[/tex]

Answer:

30x^2

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

$0.55

Step-by-step explanation:

1 quarter is 25 cents

2 dimes is a total of 20 cents

2 nickels is a total of 10 cents

if you add all of it up 25+20+10 you get 55 cents but u need it in dollar amount so it would but $0.55 since u have less than a dollar.

9514 1404 393

Answer:

  -(5√7 +9√35)/380

Step-by-step explanation:

The denominator is made rational by multiplying numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{\sqrt{7}}{5-9\sqrt{5}}=\dfrac{\sqrt{7}}{5-9\sqrt{5}}\cdot\dfrac{5+9\sqrt{5}}{5+9\sqrt{5}}=\dfrac{5\sqrt{7}+9\sqrt{35}}{5^2-9^2\cdot5}=\boxed{-\dfrac{5\sqrt{7}+9\sqrt{35}}{380}}[/tex]

_____

Additional comment

This process takes advantage of the factoring of the difference of squares:

  a² -b² = (a -b)(a +b)

The method is used to eliminate complex numbers and square roots from denominators.

The required revenue table categorized by Quarter (Qrt1 and Qrt 2) and Region (East and West) is :

____________Sale Revenue _____________

_______ Qrt 1 ___ Qrt1 %___ Qrt 2 ____ Qrt2 %

East ___ $78 _____65% ____$22 ______ 20%

West___ $42 _____ 35%____$88 ______ 80%

Quarter 1 :

Quarter 2 :

Therefore, The distribution table which displays the revenue of the comp may is given above.

Learn more :https://brainly.com/question/1994652

Answer:

20.8

if i'm wrong i'm rlly rlly sorry!!

Answer:

B. The Positive Solution

Step-by-step explanation:

Because Time is a positive quantity

Answer:

27.2

Step-by-step explanation:

34x.80=27.2

Answer:

27.2 is the 80 % of 34, so if 34 is the whole then mutiply by .8

Answer:

10, 4, -1

Step-by-step explanation:

10×4=40

40×-1=-40

-40=-40

The three integers could be 8, -5, and 1.

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero.

Given that, the product of three integers is -40.

Since the product is negative, there should be at least one negative number.

The three numbers can be 8, -5, and 1.

8 × (-5) ×1 = -40

Hence, the three integers could be 8, -5, and 1.

Learn more about integers:

https://brainly.com/question/15276410

#SPJ2

Answer:

y=0.5x-4.5

Step-by-step explanation:

y=mx+b

Use the information provided to find b

0=0.5(4)+b

-2=b

Therefore, the equation goes down to...

y= 0.5x-2

Step-by-step explanation:

using the formula

m = y -y1/ x - x1

0.5 = y -0/x-4 (0.5 = 1/2)

1/2 = y/x -4

2y = x -4

divide both sides by 2

y = 1/2 ( x -4)

y = 1/2x - 2

y -1/2x = -2

Answer:

-9

Step-by-step explanation:

y=-2(3)-3

9514 1404 393

Answer:

  (x, y, P) = (4/3, 8/3, 112/3)

Step-by-step explanation:

In standard form, the constraints are all "less than or equal to", the variables are all non-negative, and the objective is maximization. This problem is presented in standard form.

  4x +y ≤ 8

  x +4y ≤ 12

  x ≥ 0; y ≥ 0

maximize P = 6x +11y

__

Now we add the slack variables to make the constraints be "equal to". These have a coefficient of +1, and they, too, are non-negative. Here, we'll use s and t as the slack variables.

  4x +y +s = 8

  x +4y +t = 12

These equations, together with the objective function, are combined in a matrix-like "tableau" in which each row is the set of coefficients in one of the equations. Here, the columns represent x, y, s, t, P and the constants. The equation for the objective function is negated so we're trying to minimize that, as well.

  [tex]\begin{array}{ccccc|c}4&1&1&0&0&8\\1&4&0&1&0&12\\-6&-11&0&0&1&0\end{array}[/tex]

Find the column with the most negative value on the bottom row. (Column 2) Divide the rightmost column by this column and find the smallest quotient. Here, the quotients are 8/1 = 8, and 12/4 = 3. The smallest is 3. This identifies the 4 in column 2, row 2 as the "pivot."

Now, row operations are performed to make the pivot be 1 and other values in the pivot column be zero. This gives a new tableau. For example, the new values in row 1 are ...

  4 -1/4, 1 -4/4, 1 -0/4, 0 -1/4, 0 -0/4, 8 -12/4

The new tableau is ...

  [tex]\begin{array}{ccccc|c}15/4&0&1&-1/4&0&5\\1/4&1&0&1/4&0&3\\-13/4&0&0&11/4&1&33\end{array}[/tex]

Now, the most negative number on the bottom row is in column 1, and the smallest quotient of column 6 and column 1 is in row 1. This makes 15/4 the "pivot". After the required row operations, the next tableau is ...

  [tex]\begin{array}{ccccc|c}1&0&4/15&-1/15&0&4/3\\0&1&-1/15&4/15&0&8/3\\0&0&13/15&38/15&1&112/3\end{array}[/tex]

All values in the last row are non-negative, so we are finished. The rightmost column tells us the values of x, y, P that are the solution to the problem

  (x, y, P) = (4/3, 8/3, 112/3)

__

The graphical solution confirms the Simplex solution.

Answer:

Step-by-step explanation:

the side lengths are (400 - 4x)/2 = 200 - 2x

A = x(200 - 2x)

A = 200x - 2x²

Maximum area will occur when the derivative is set to zero.

dA/dx = 200 - 4x

0 = 200 - 4x

x = 200/4 = 50 ft

each field will be 50 x 33⅓ ft.

total area will be 5000 ft²

Which is not very big for a sports complex. I've owned houses with more floor space than that.

Answer:

dad paid 37.19

Step-by-step explanation:

Answer:

y=8x+3

Step-by-step explanation:

to check plug the numbers to the equation and you will that it is right

Answer:

f(x) = 8x + 3

Explanation:

I knew f(x) = mx +b is the formula for a linear equation and that when x = 0,

f(x) = b

So, when x = 0 in the table, f(x) = 3 and therefore b = 3

Now we can plug in f(x) = 11 and x =1 into f(x) = mx+b along with our b value

11 = m(1) + 3

solving for m we get m  =  8 which finishes our unknowns

f(x) = mx + b

f(x) = 8x + 3

Answer:

6

Step-by-step explanation:

20*.3=6.

30 percent turns into .3

Answer:

Step-by-step explanation:

x²+4x+8

=x^2+4x+4-(-4)

=(x+2)²-(2 i)²

=(x+2+2i)(x+2-2i)

Answer:

1.4 x 10^6

Step-by-step explanation:

Answer:

7955

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

(a) Solving the x-equation for u gives ...

  u = (x -1)/4

Differentiating both equations with respect to u, we have ...

  dy/du = 1 -4u

  dx/du = 4

Then dy/dx is ...

  dy/dx = (dy/du)/(dx/du) = (1 -4u)/4

Substituting for u gives ...

  dy/dx = (1 -4(x -1)/4)/4

  dy/dx = (2 -x)/4

__

(b) The approximate change in y is ...

  ∆y ≈ (dy/dx)(∆x)

For ∆x = 2.98 -3.00 = -0.02, and x=3, the approximate change is ...

  ∆y ≈ (2 -3)/4(-0.02)

  ∆y ≈ 0.005

Answer:

1/2 = 0.5

3/4 = 0.75

Step-by-step explanation:

Answer:

-14g-84/6

Step-by-step explanation:

multiply the numbers

7/2 (-4-1 · 2/3g)

7/2(-4-2/3g)

combine multiplied terms into a signle fraction

7/2(-4-2/3g)

7/2(-4+-2g/3)

find common denominator

7/2(-4+-2g/3)

7/2(3(-4)/3+-2g/3)

combine fractions with common denominator

7/2(3(-4)/3+-2g/3)

7/2(3(-4)-2g/3)

multiply the numbers

7/2(3(-4)-2g/3)

7/2(-12-2g/3)

rearrange terms

7/2(-12-2g/3)

7/2(-2g-12/3)

combine multiplied terms into a single fraction

7/2 · -2g-12/3

7(-2g-12)/2 · 3

distribute

7(-2g-12)/2 · 3

-14g-84/2 · 3

multiply the numbers

-14-84/2 · 3

-14g-84/6

Topics: Precalculus, Matrix

slope int form: y=1/4x-5

Answer:

around .20 per apple

Step-by-step explanation: