An observer in the lighthouse is 70 feet above the water. He sites two boats in the water directly in front of him. The angle of depression to the nearest boat is 35°. The angle of depression to the other boat is 18°. What is the distance between the two boats? Round to the nearest foot

Step-by-step explanation:

Here are the steps required for Solving Quadratics by Factoring:

Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.

Step 2: Use a factoring strategies to factor the problem.

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

Example 1 – Solve: x2 + 16 = 10x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

Step 1

Step 2: Use a factoring strategies to factor the problem.

Step 2

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

Step 3

Step 4: Solve each factor that was set equal to zero by getting the

*X can not be found, only simplified or factored)

5x+33+17x+37

Add the x units

22x+33+37

Add the 33 and 37

22x + 70

Subtract 77 to the other side

Simplify: 22x = -70

Factor: 2(11x+35)

Answer: the answer is 0.125 foot per square foot

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

y = 3/4x +1

m = 3/4 b = 1

hope this helps

Answer:

[tex]7^{8}[/tex]

Step-by-step explanation:

When you multiply exponential numbers with the same base number, you have to add the exponents. So add 2 and 6 because the numbers share 7 as base.

please give brainliest if it helped:)

Answer:

250

Step-by-step explanation:

You have to find the triangle area and the rectangle and then add them.

Rectangle - 10*20 = 200

Triangle - (10*10)/2 = 50

Area - 200 + 50 = 250

Answer:

D is correct, based on my understanding

Step-by-step explanation:

Answer:

Following are the responses to the given question:

Step-by-step explanation:

n = 400

x = amount of displaying the reacts which would allow the fixing in the producing toothpaste = 334

Its value is more than [tex]\frac{4}{5}[/tex] dentists suggest the ingredient of the product.  

[tex]\to p > \frac{4}{5}\\\\\to p > 0.8\\\\[/tex]

Level of significance =[tex]\alpha =0.01[/tex]

Answer:

$259

Step-by-step explanation:

\text{Rate 1: }5\tfrac{1}{2}\%=5+1/2=

Rate 1: 5  

2

1

​  

%=5+1/2=

\,\,5.5\%\rightarrow 0.055

5.5%→0.055

\text{Rate 2: }5\tfrac{3}{4}\%=5+3/4=

Rate 2: 5  

4

3

​  

%=5+3/4=

\,\,5.75\%\rightarrow 0.0575

5.75%→0.0575

\text{Calculate Final Amount for Kylie}

Calculate Final Amount for Kylie

\overline{\phantom{\text{Calculate Final Amount for Kylie}}}

Calculate Final Amount for Kylie

​  

\text{Compounded Annually:}

Compounded Annually:

A=P(1+r)^t

A=P(1+r)  

t

P=2800\hspace{35px}r=0.055\hspace{35px}t=12

P=2800r=0.055t=12

Given values

A=2800(1+0.055)^{12}

A=2800(1+0.055)  

12

Plug in values

A=2800(1.055)^{12}

A=2800(1.055)  

12

Add

A=5323.381

A=5323.381

Use calculator

\text{Calculate Final Amount for Ariana}

Calculate Final Amount for Ariana

\overline{\phantom{\text{Calculate Final Amount for Ariana}}}

Calculate Final Amount for Ariana

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

P=2800\hspace{35px}r=0.0575\hspace{35px}t=12

P=2800r=0.0575t=12

Given values

A=2800e^{0.0575(12)}

A=2800e  

0.0575(12)

Plug in

A=2800e^{0.69}

A=2800e  

0.69

Multiply

A=5582.4035

A=5582.4035

Use calculator (with e button)

\text{How much more money Ariana has:}

How much more money Ariana has:

5582.4035-5323.381

5582.4035−5323.381

259.0225

259.0225

Answer:

71%, without rounding 70%

Step-by-step explanation

We know our total number of marks is 79 if we only get 56 out of 79 we take 56/ 79. You'll end up with a number of 0.7088. You will ALWAYS end up with a decimal point. Because its a percentage we move the decimal point over 2 spots making the number 070.88 the 0 in front of of the 70.88 gets removed so you're left with 70.88 so rounded it would be 71%. Hope this helps

Answer:

70.88% or 70.9%(if rounded off)

Step-by-step explanation:

1. 100 ÷ 79 = 1.2658227848

2. 1.2658227848 × 59 = 70.8860759494

3. 70.88 rounded off to the nearest tenths is 70.9

Answer:63.96

Step-by-step explanation:

Answer:1, 5

Step-by-step explanation:

divide the expression to get your answer then divide the choices on the right. find the ones with the same answer.

Answer:

7,610/50

.761/.005

Step-by-step explanation:

Compare both expressions' sums and check them off.

let me just stop to think

Answer:

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.

Answer:

C

Step-by-step explanation:

Answer:

x-0.25 is the answer for the above expression

Answer:

45

Step-by-step explanation:

36 times 25 =900 from then keep adding 36 and count the times you add 36 and it comes out as 45 i believe tell me if I'm wrong

Answer:

1) E

2) D

3) G

4) I

Step-by-step explanation:

1)

P = 2(l + w)

P = 2(3a + 3 + 8a - 12)

P = 2(11a - 9)

P = 22a - 18

2)

P = 22a - 18

P = 22(3) - 18

P = 66 - 18

P = 48

3)

P = a + b + c

P = 3b + 7 + 7b - 2 + 7b - 2

P = 17b + 3

4)

P = 17b + 3

P = 17(6) + 3

P = 102 + 3

P = 105

Answer: 10 lattes

lmk if this is incorrect

Step-by-step explanation:

sales tax: 60(.0825)=4.95

tip: 60(.10)=6

scone: 3

total excluding lattes: 4.95+6+3=13.95

total left to spend on lattes: 60-13.95=46.05

amount of lattes you can afford: 46.05/4.25=10.835294.....

Answer:

11 lattes and 1 scone

Step-by-step explanation:

11×4.25= 46.75+3.00= 49.75

49.75×8.25%= $53.85

10% of $53.85 is $5.38

53.85+5.38= $59.23

You will have .77 left

Answer:

c

Step-by-step explanation:

1.The Chord Intersection Theorem:

If 2 chords of a circle are AB and CD and they intersect at E, then

AE * EB = CE * ED.

Problem.

Two Chords AB and CD intersect  at E.  If AE =  2cm , EB = 4 and CE = 2.5 cm, find the length of ED.

By the above theorem : 2 * 4 = 2.5 * ED

ED = (2 * 4) / 2.5

= 3.2 cm.

2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

=  +  

169 = 25 +  

169 - 25 =  

144 =  

⇒ d =  

      = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle

Answer:

A link for a calculator that I use for ratios

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/ratios.php

Answer:

32 ft

Step-by-step explanation:

that's a right answer

Answer:

-4

Step-by-step explanation:

Answer:

En el departamento de ventas.

Explicación paso a paso:

Los datos generales complementarios se pueden obtener del departamento de ventas donde están presentes los datos sobre ventas y nos ayudan a calcular los ratios de actividad. El índice de actividad se puede calcular dividiendo las ventas de la empresa por sus activos totales. Este índice de actividad indica la eficiencia de una empresa mediante el uso de sus activos disponibles para producir ventas. El índice de actividad también se denomina "Índice de gestión de activos". Los datos de ventas son necesarios para el índice de actividad que puede estar disponible en el departamento de ventas.