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3 years ago

A lighthouse is 15m above sea level.

1 answer:

8 0

For this you will use the tangent function. You have the adjacent side and have to find the opposite side.

tan x = opposite/adjacent
tan 25 = x/15
15 (tan 25) = x
6.9946 = x

So the boat is approximately 6.9946 m away from the lighthouse.

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bixtya [17]

Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change.

f(3.5) = 25 means that:

$ab^{3.5} = 25$

$a = \frac{25}{b^{3.5}}$

f(8.5) = 14 means that:

$ab^{8.5} = 14$

Hence:

$\frac{25}{b^{3.5}} \times b^{8.5} = 14$

$25b^5 = 14$

$b = \sqrt[5]{\frac{14}{25}}$

$b = 0.89$

$a = \frac{25}{0.89^{3.5}} = 37.59$

Hence, the function is given by:

$y = 37.59(0.89)^x$

Then, when x = 5.5:

$f(5.5) = 37.59(0.89)^{5.5} = 19.8$

More can be learned about exponential functions at brainly.com/question/25537936

7 0

2 years ago

What is square root of 64?

3241004551 [841]

Answer:

Step-by-step explanation:

8*8=64

5 0

3 years ago

What is the equation for the translation of X^2+y^2=9 four units to the right and three units down

icang [17]

We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)

the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²

see the attached figure

4 0

3 years ago

2 1/5 × 5/6<br> (its a fraction) <br> PLSSS i need it now its a test

Soloha48 [4]

Answer:

$\frac{11}{6} \ \ or \ 1\frac{5}{6}$

Step-by-step explanation:

$2\frac{1}{5} \times \frac{5}{6} \\\\ = \frac{11}{5} \times \frac{5}{6} \\\\=\frac{11}{6}\\\\=1 \frac{5}{6}$

6 0

2 years ago

Read 2 more answers

Solve for x.<br> 8(x + 1) - 3(x + 4) = 7(2 - x)<br> Ox=11<br> Ox=-11<br> Ox= -1 1 /<br> Ox=11/

inna [77]

Answer:

1.5

Step-by-step explanation:

$8(x + 1) - 3(x + 4) = 7(2 - x) \\ 8 x + 8 - 3x - 12 = 14 - 7x \\ 8x - 3x + 7x = 14 - 8 + 12 \\ 12x = 18 \\ x = \frac{18}{12} \\ x = \frac{3}{2} \\ x = 1.5$

3 0

3 years ago

Read 2 more answers