A boat is heading towards a lighthouse, whose beacon-light is 103 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 16 degrees . What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest hundredth of a foot if necessary.

Answer:

D

Step-by-step explanation:

9(3)^-4

3^2 × (3^-4)

in algebraic expression a^n × a^m = a^n+m

3^2+(-4)

3^-2

but 3^-2 = 1/3²

1/3²= 1/9

The option (4) is correct i.e., when [tex]x=-4[/tex] then

[tex]f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}[/tex]

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]f(x)=9(3)^x\\\\\\x=-4\\\\\\f(-4)=9(3)^{-4}\\\\f(-4)=\frac{9}{(3)^4}\\\\f(-4)=\frac{9}{81}\\\\f(-4)=\frac{1}{9}[/tex]

Hence, the option (4) is correct i.e., when [tex]x=-4[/tex] then

[tex]f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}[/tex]

To know more about the equation

https://brainly.com/question/12788590

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Answer:

easy it is B trust me

Step-by-step explanation:

Answer:

Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.

Step-by-step explanation:

Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.

Answer:

CONSIDER THE POINTS (1,4) and (2,7)

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

m=(7-4)/(2-1)

=3/1

m=3x

c=1

y=3x+1

the answer is option A

Answer:

y=3x+1

Step-by-step explanation:

here is your answer

Answer:

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

The internal segment is a bisector because the two halves of the angle are marked equal.

From that we know that

[tex]\frac{24-10}{21} = \frac{10}{2x - 5}\\~\\\frac{14}{21} = \frac{10}{2x - 5}\\~\\\frac{2}{3} = \frac{10}{2x - 5}\\~\\\\3\cdot 10 = 2 \cdot (2x - 5)\\15 = 2x - 5\\20 = 2x\\x = 10[/tex]

Answer:

Step-by-step explanation:

1) y = -2/3* -6 + 7 =

y= 11

2) 5 = -2/3 x + 7

-2/3 x = -2

x = 3

3) y = -2/3 * 15 + 7

y = -3

4) 15 = -2/3x + 7

2/3x = -8

x = -12

Answer:

The answer is C= 109.96 cm

Step-by-step explanation: Since it's a diameter, you'll have to split it in half to find the radius, from there, you can use the normal formula.

Answer:

Undefined

Step-by-step explanation:

If I am seeing the table right, 14 is the only y coordinate and 14 goes with all the x.

so the line would be horizontal

Answer:

h(t) = -0.25t + 6.25

Step-by-step explanation:

Given that :

Height of candle after burning for 1 hour = 6

Height of candle after burning for 3 hours = 5.5

The linear model to show the height ight of candle after burning for h hours :

The height change per hour of burn ; this is the slope ;

Change in height / Change in time ;

Time = 1 hour ; height = 6

Time = 3 hours ; height = 5.5

Slope = (5.5 - 6) / (3 - 1) = - 0.5 / 2 = - 0.25

This means candle height decreases ; - 0.25 ft per hour :

Based on the linear, slope, intercept equation ;

y = mx + c

Candle height, h

h(t) = mt + c

c = intercept, we can obtain this thus ;

Using the height at 1 hour and slope;

After an hour burn :

6 = - 0.25t + c

t = 1

6 = - 0.25(1) + c

6 = - 0.25+c

6+0.25 =, c

c = 6.25

Hence ; to calculate height, h after burn time &

h(t) = -0.25t + 6.25

Answer:

cool

Step-by-step explanation:

The perimeter of a rectangle is 2(l+b)

Breadth =" b " is the same thing as width

so if the width is half the length it will be = 1/2w

Final answer = 2(l + 1/2w)

l stands for length

hope u get this right

8 students out of 27

the total of students is 27 out of the 27 students 19 dont play and instrument and a sport

Answer:

There is no slope.

Step-by-step explanation:

Following the formula for slope,

y^2 - y^1

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

x^2 - x^1

when inputting our values, we get -13/0. We cannot divide by 0 and because the 0 is in the denominator, it means that there is no slope.

Answer:32

Step-by-step explanation:beacuse 24 dived by 3= 8 and 4x8=32

Answer:  The correct answer is 10

Step-by-step explanation:

50/5 = 10, so C = 10

Answer:

50

Step-by-step explanation:

10x5=50

Answer:

See image

Step-by-step explanation:

Plato

Answer: d.) 0.53

Step-by-step explanation: 4( total green marbles) divided by 15 (all marbles) =.266 x 2= 0.53

Step-by-step explanation:

x+2y=-4

2x+3y=1

The difference between this two equations is x+y so:

x+y

=1-(-4)

=1+4

=5

I'm not sure what the question is asking to find, but I have already helped you find the value of x+y, good luck with the rest I guess :))

Answer:

C

Step-by-step explanation:

Answer:

Hello! answer:

largest volume: Rectangle C

smallest volume: Rectangle A

Step-by-step explanation:

Rectangle A: 120

Rectangle B: 160

Rectangle C: 224

Rectangle D: 189

Hope that helps!

let, x be the no of coins then according to question.Mary have 3x no of coins and John have x no of coins..

now, 3x+x=180

or,4x=180

or,x=180/4

therefore, x= 45

thus mary has 3×45=135 no of coins...

Answer:

Step-by-step explanation:

see image

Answer:

hello u so cool i admire you <3

Answer:

8/168=21

Step-by-step explanation: