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Elenna [48]
3 years ago
13

PLEASE HELP!!!! :(

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0
The tangent of the angle gives the ratio of the height of the lighthouse to the boat's distance
.. tan(angle of depression) = (lighthouse height)/(boat distance)
Then the distance to the boat is
.. boat distance = (lighthouse height)/tan(angle of depression)

We want to find the difference between two distances, so
.. boat travel = (lighthouse height)*(1/tan(first angle) -1/(tan(second angle))
.. = (200 ft)*(1/tan(17°31') -1/tan(46°41'))
.. ≈ 445.10 ft
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For all the values of x,<br> f(x)=x²+3 g(x)=2x-1 <br> a) find fg(2) <br> b) find gf(2)
erik [133]

Answer:

12 and 13

Step-by-step explanation:

(a)

To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)

g(2) = 2(2) - 1 = 4 - 1 = 3, then

f(3) = 3² + 3 = 9 + 3 = 12

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

(b)

To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)

f(2) = 2² + 3 = 4 + 3 = 7, then

g(7) = 2(7) - 1 = 14 - 1 = 13

5 0
3 years ago
Anwser both of them please
eimsori [14]
The rectangle on the right is 81 and the rectangle on the left is 24. I don't really know about the second one sorry, but I hope this helped.
4 0
3 years ago
An employee pays what percentage for FICA?
Neporo4naja [7]
<span>FICA takes out a percentage of 7.65% per person </span>
4 0
3 years ago
Read 2 more answers
ANSWER PLEASE I WILL MARK AS BRAINLIEST
ICE Princess25 [194]

Answer:

162 mL  

Step-by-step explanation:

1.Convert all volumes to millilitres

(a) Chlorpheniramine

V = 100 mL

(b) Lidocaine

V = \text{2 fl oz} \times \dfrac{\text{29.57 mL}}{\text{1 fl oz}} = \textbf{59 mL}

(c) Banana flavouring

V = \dfrac{1}{2}\text{ tsp} \times \dfrac{\text{4.928 mL}}{\text{1 tsp}} = \textbf{2.5 mL}

2.Calculate the total volume

Chlorpheniramine =  100  mL

Lidocaine               =   59

Banana flavouring = <u>    2.5  </u>    

TOTAL                    = 162 mL

3 0
3 years ago
Can someone help me out with this at all?
dsp73

Answer:

1 maps to 1

2 maps to 3

3 maps to 2

Step-by-step explanation:

the correctly assigned answer options describe everything.

there is not much else to say and explain.

these are all true statements due to the symmetry principle of a circle.

when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.

and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.

6 0
3 years ago
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