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inysia [295]
2 years ago
9

Find x , the angle of depression from the top of a lighthouse that is 173 ft above water level to the waterline of a ship 1119 f

t off shore. Round your answer to the nearest tenth of a degree.
Mathematics
1 answer:
gregori [183]2 years ago
3 0

Answer:

arc tan (angle) = 1,119 / 173

arc tan (angle) = 6.4682080925

angle = 81.212 Degrees

Step-by-step explanation:

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Write -1/19, 7/4, -4/7 from least to greatest
zysi [14]

Answer:

-4/7, -1/19, 7/4

Step-by-step explanation:

The fractions converted into decimals would be -0.05, 1.75, -0.57

4 0
2 years ago
How do you make 'a' the subject of the formula: ab - cd = ac
xxTIMURxx [149]
First bring all terms in 'a' to the left side of the formula by subtracting ac from both sides

ab - ac - cd = ac - ac 
ab - ac - cd = 0
now add cd to both sides
ab - ac -cd + cd = cd
ab - ac = cd
now factor the left side by taking out the 'a' 
a(b-c) = cd
now divide both sides by (b-c)
a = cd / (b-c)
done

3 0
3 years ago
Line L passes through the points (0, --3) and (6,9).<br> (a) Find the equation of line L.
valentina_108 [34]

Step-by-step explanation:

Given points are :

(0,\:-3)=(x_1,\:y_1) \:\&\: (6,\:9)=(x_2 ,\:y_2)

Equation of line in two point form is given as:

\frac{y -y_1 }{y_1 -y_2 }  = \frac{x -x_1 }{x_1 -x_2 }  \\  \\  \therefore \frac{y -( - 3)}{ -3  -9 }  = \frac{x -0 }{0 -6 }  \\  \\  \therefore \frac{y  + 3}{ -12}  = \frac{x  }{ -6 }  \\  \\  \therefore \frac{y  + 3}{ 2}  = \frac{x  }{1}  \\  \\  \therefore  \: y + 3 = 2x \\  \\  \huge \red{ \boxed{\therefore  \: 2x - y - 3 = 0}} \\ is \: the \: required \: equation \: of \: line.

5 0
3 years ago
If 3,200 cars were sold all year, how many cars were sold in the jan/feb period?
Kobotan [32]

12 months per year

3200/12 = 266.66 per month

jan/feb = 2 months

266.666 x 2 = 533.33 round off to 533 cars sold

5 0
3 years ago
Read 2 more answers
At age 40 you deposit $150 at the end of each month into an IRA that pays 4% interest compounded monthly. At age 65, what will t
Svetlanka [38]

Answer:

Annuity= 242.4

Step-by-step explanation:

This is a compound interest problem.

The total amount at the end of 25 years will be

A = p(1+r/n)^(nt)

A = 150(1+(0.04/(25*12)))^ ((25*12)(25))

A= 150(1 + 0.04/300)^ (300*12)

A = 150(1+ 0.0001333)^ 3600

A = 150(1.0001333)^ 3600

A = 1500(1.615828808)

A= 242.374

A= 242.4 to the nearest cent

8 0
3 years ago
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