A boat heading out to sea starts out at Point AA, at a horizontal distance of 862 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 15^{\circ}

∘
. At some later time, the crew measures the angle of elevation from point BB to be 8^{\circ}

∘
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary

Answer:

Step-by-step explanation:

-2y-10=x-10x

-2(-14) - 10= x - 10x

28 - 10 = x - 10x

18= x-10x

18= -9x

/-9    /-9

-2=x

Each side when you plug in (-2) for x and (-14) for y you get 18.

If, when you plug in the number, you get different numbers for each side, then that means there's a mistake and the answer is wrong.

Hope this helps!

On solving the provided question, we can say that the equation will be 1.8x=7200 => x=4000

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here,

the equation will be

1.8x=7200

x=7200/1.8

x=4000

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Write 30% as 30100Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

30100 of 84 = 30100 × 84Therefore, the answer is 25.2

If you are using a calculator, simply enter 30÷100×84 which will give you 25.2 as the answer.

Answer:

1/6

Step-by-step explanation:

Answer:

slope = -1

Step-by-step explanation:

any 2 points:

(2,2) (0,4)

to find the slope we use the formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

slope is:

2/-2 = -1

Answer:

The slope is =

2/-2 = -1

Step-by-step explanation:

Also i hope you have a wonderful day !

Least to greatest: 0.64, 0.654, 0.66, 0.7

Answer:

1. 0.64

2. 0.654

3. 0.66

4. 0.7

Answer:

y=z-1, z=y=1.

Step-by-step explanation:

As x=2

So,

x+y-z=1

2+y-z=1

y-z=-1

y=z-1,  z=y+1

Answer:

Adding the exponents

Step-by-step explanation:

Multiplying exponential terms with the same base

To multiply exponents with same base , we use exponential property

[tex]a^m \cdot a^m=a^{m+n}[/tex]

When we multiply exponents with same base then we add the exponents

So, adding the exponents best explains to simplify the expression that has same base with exponents .

Answer:

288

Step-by-step explanation:

32 x 9=288

Answer:12+2y

Step-by-step explanation:Multiple the -2 by each value inside of the parenthesis, -2 * -6 = 12, -2 * -y = 2y, then add these together to get 12+2y.

Answer:

x = 8

Step-by-step explanation:

572 - 500 = 72

72 / 8 = 9.

But in order to spend less than 572, he has to buy 8 cases. If he buys 9 cases he will be exactly 572.

Answer:

9 or fewer cases

Step-by-step explanation:

Solving a two step equation:

First, determine how much he has left to spend

572 - 500 = 72

He has 72 dollars left to spend on soda

Each case is 8 dollars.

Divide how much he has to spend by the cost of each case

72/8 = 9

He can buy up to 9 cases and stay under budget.

Answer:

Step-by-step explanation:

i don't know if this help :/

Answer:

Its b

Step-by-step explanation:

1) 16x - 12(1 + 2x) + 4 is the expression that are equivalent to 16x-12-24x+4.

An expression is a mathematical phrase that can contain numbers, variables, and operators. It can be a combination of these elements and can be evaluated to a specific value or a mathematical function.

An expression can be a simple mathematical statement such as 2x+3, or a more complex one involving multiple operations such as

(3x^2 - 4x + 5) / (2x +1). Expressions are used to represent mathematical operations, equations and relations between variables.

so we need to evaluate option 1 :

16x - 12 -24x +4

=> 16x - 12 -24x +4

the above expression is same as the expression mentioned in the question so option 1 is correct.

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Complete question :

Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.

1. 16x - 12(1 + 2x) + 4

2. 40x - 16

3. 4 - 12 + (2x - 3x)

4. -8(x+1)

1. To maximize the profit :

28 jars of salsa and

0 jars of tomato sauce should be made.

which  make maximum profit of $42.

2.  In order to maximize the total monthly profit

2300 units of T₁ type table and and

600 units of T₂ type table should be made

which provide maximum profit of $273000.

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.

1. Let x be the numbers of jars of tomato sauce

Let y be the number of jars of salsa sauce

Profit P(x, y)=2x+1.5y

x≥0

y≥0

10x+5y≤140

x + y ≤13

​The solution set of the system of inequalities above the vertices of the feasible solution set obtained are shown below.

A at (0,13)

B at (0,28)

C at (14,0)

D at (15,0)

E at (15, -2)

Evaluate profit P(x, y) at each vertex

A at (0,13):P(0,13)=$19.5

B at (0,28):P(0,28)=$42

C at (14,0):P(14,0)=$28

D at (15,0):P(15,0)=$30

E at (15, -2):P(15,-2)=30-3=$27

The maximum profit of $42 is at vertex B.

Which means production of 28 jars of salsa and 0 jars of tomato sauce provides maximum profit of $42.

2. Let x be the number of tables of type T₁

​and y the number of tables of type T₂

​Profit P(x, y)=90x+110y

x≥0

y≥0

2x+4y≤7000

x+2.5y≤4000

2x+1,5y≤5500

​The solution set of the system of inequalities above the vertices of the feasible solution set obtained are shown below.

A at (0,0)

B at (0,1600)

C at (1500,1000)

D at (2300,600)

E at (2750,0)

Evaluate profit P(x, y) at each vertex

A at (0,0):P(0,0)=0

B at (0.1600):P(0,1600)=90(0)+110(1600)=176000

C at (1500,1000):P(1500,1000)=90(2500)+110(1000)=245000

D at (2300,600):P(2300,600)=90(2300)+110(600)=273000

E at (2750,0):P(2750,0)=90(2750)+110(0)=247500

The maximum profit of $273000 is at vertex D.

which means production of 2300 tables of type T₁ and 600 tables of type T₂ makes maximum  profit.

1. Hence, maximum profit is made by making

28 jars of salsa and

0 jars of tomato sauce getting

$42 of profit.

2. Hence the company needs to produce

2300 tables of type T₁ and

600 tables of type T₂,

in order to maximize its monthly profit which is equal to $273000.

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Answer:

(a) See attachment 1

All points lie on the same line

(b) See attachment 2

Step-by-step explanation:

Given

[tex]2x + y = 10[/tex]

Solving (a): Plot 5 points that make the equation, true

First, we calculate the points

Make y the subject

[tex]y = 10 - 2x[/tex]

[tex]x = 0 \to y = 10 - 2* 0 = 10[/tex]

[tex]x = 1 \to y = 10 - 2* 1 = 8[/tex]

[tex]x = 2 \to y = 10 - 2* 2 = 6[/tex]

[tex]x = 3 \to y = 10 - 2* 3 = 4[/tex]

[tex]x = 4 \to y = 10 - 2* 4 = 2[/tex]

So, we will plot the following points

[tex](0,10)\ (1,8)\ (2,6)\ (3,4)\ (4,2)[/tex]

See attachment 1

Notice that all points lie on the same line

Solving (b):

Point (5,7) does not make the equation true, and that is why it lies outside the line

See attachment 2

Answer:

13√(2) = x

Step-by-step explanation:

The given is an isosceles triangle so the two side lenghts are same (13 units)

in right triangles the square lenght of the hypotenus is equal to sum of two side's square lenght

13^2 + 13^2 = x^2

169 + 169 = x^2

338 = x^2

13√(2) = x

The length of the line segment BP = 15 using the trigonometric ratio of sine for the angle P.

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

Considering the right triangles formed by points at P, A and the tangent to the bigger circle with its radius as base;

radius r = 10 and hypotenuse AP = 30

sinP = 10/30 {opposite/hypotenuse}

sinP = 1/3

Also for the smaller circle, with right triangle formed by points at P, B and the tangent to the smaller circle with its radius as base;

radius r and hypotenuse BP = 20 - r

sinP = r/(20 - r)

1/3 = r/(20 - r)

3r = 20 - r {cross multiply}

3r + r = 20 {collect like terms}

4r = 20

r = 20/4 {divide through by 4}

r = 5

BP = 20 - 5

BP = 15

Therefore, length of the line segment BP is derived using the trigonometric ratio of sine as 15.

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The number of hours after which the candle is burned completely is

68 hours.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Candle height = 11(1/3) inches

Each hour the height decreases by 1/6 inch.

Now,

The equation to find the number of hours x after which the candle is burnout is 11(1/3) - (1/6)x = 0

Solve for x.

11(1/3) - (1/6)x = 0

11(1/3) = (1/6)x

34/3 = (1/6)x

x = (34 x 6) / 3

x = 34 x 2

x = 68

Thus,

After 68 hours the candle is completely burnt.

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Answer:

2.)70

4.)451,17

Step-by-step explanation:

2.)

a1 = 8*5 = 40

a2 = ((20-8)*5)/2 = 30

aTotal = 40+30 = 70

4.)

a1 = 18*18 = 324

a2 = (πr²)/2 = 127,17

aTotal = 127,17 + 324 = 451,17

Answer:

4 kkkkkkkkkkkkkkkkkkkkkk

Answer: 4

Step-by-step explanation:

1. 14-6 the 6 came from both 3’s

2. 14-6=8

3. 8/2 the 2 because of the 2 x’s

4. 8/2=4

Transformation for A to B : Shift 2 unit horizontally.

Transformation for A to C : Shift 1 unit horizontally, 1 unit vertically.

Equation of Parabola A : y = - (x - 1)² + 1

Equation of Parabola B : y = - (x - 3)² + 1

Equation of Parabola C : y = - (x - 2)² + 2

Section of a right circular cone by a plane parallel to a generator of the cone is a parabola. It is a locus of a point, which moves so that distance from a fixed point (focus) is equal to the distance from a fixed line (directrix)

Fixed point is called focus.

Fixed line is called directrix.

Equation of the parabola having vertex (h, k).

y = a(x - h)² + k

Equation of Parabola A with vertex (1,1)

y = a(x - 1)² + 1

parabola A has point (0, 0) on it

0 = a (0 - 1)² + 1

a = -1

Equation of the parabola A

y = - (x - 1)² + 1

Shifting parabola A, 2 unit horizontally, we get parabola B

Equation of the parabola B

y = - (x - 3)² + 1

Shifting Parabola A, 1 unit horizontally and 1 unit vertically, we get parabola C

Equation of the parabola C

y = - (x - 2)² + 2

Hence, shifting 1 unit horizontally and 1 unit vertically in Parabola A we get parabola C and shifting 2 unit horizontally we get parabola B,

y = - (x - 1)² + 1 is equation of Parabola A.

y = - (x - 3)² + 1 is equation of Parabola B.

y = - (x - 2)² + 2 is equation of Parabola C.

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The area of the parking lot is  2,025 .81 meter2.

In essence, it is equal to 1/2 of the height times the base, or A = 1/2 b h. Therefore, we need to know the triangular polygon's base (b) and height (h) in order to calculate its area.

A triangular parking lot has sides measuring 90 meters, 54 meters, and 128 meters.

Triangle Height Determination Using Area

Now that you are aware of the triangle's area, you may use the triangle formula A=1/2bh to get the triangle's height.

s   = a + b+ c /2

90 + 54 + 128 / 2 = 136

A = [tex]\sqrt{s (s-a) (s-b) (s-c)}[/tex]

A = [tex]\sqrt{136(136-90)(136-54)(136-128}[/tex])

A = 2,025 .81

The area of the parking lot is  2,025 .81 meter2.

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Answer:

D. Down 5, Left 2

Step-by-step explanation:

-5 on the outside means it will go down 5.

+2 directly grouped with the variable means it will do the opposite, so it goes left 2.

Answer:

[tex]12 {}^{21} [/tex]

Step-by-step explanation:

Multiply the exponents, hope it helped. If you need a more in depth explantion on how to do it then I can :).

Answer: the explanation ain't in a file smh its 23

Step-by-step explanation: 3x6+5=23[][][][]brainliest?

The limit as x approaches 2 or lim x→2  is 4.

When calculating a limit, the goal is to find the value of the function as x approaches the given value. In this case, the given value is 2. As x approaches 2, the values of the function will approach 4, which is the upper bound of the given inequality. This means that the limit as x approaches 2 is 4.

To prove this, we can look at the inequality and find the values of the function at x = 1 and x = 3. For x = 1, the function value is -1, which is less than 4. For x = 3, the function value is 7, which is greater than 4. This means that the function values are increasing as x gets closer to 2, so the limit as x approaches 2 is 4.

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Answer:

Photo?

Step-by-step explanation:

If there is a photo linked I dont see it

Also: Dont click the stpid link below its malware

Answer:

-36x+9

Step-by-step explanation:

Answer:

-36x + 9. i hope this help :)))