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3 years ago

Cape Beale Lighthouse, BC, is

Mathematics

1 answer:

Elena L [17]3 years ago

5 0

Answer:

Unsafe area

Step-by-step explanation:

Data provided in the question

51 m above sea level

The Safe distance from cliff = 75 m

The 10 m above ground and angle of depression of 50°

Based on the above information,

The equation is as follows

tan 50 = (51 + 10) ÷ x

where

x = distance of the boat

Now after solving this,

x = 51.2 m

Therefore we conclude that the boat is in an unsafe area

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What is the sum of the infinite geometric series 9−6+4−83+...9-6+4-83+...??

vivado [14]

Successive terms have a common factor of $-\dfrac23$ , which means the $n$ th partial sum of the series can be written as

$S_n=9-6+4-\dfrac83+\cdots+9\left(-\dfrac23\right)^{n-1}$
$S_n=9\left(1+\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\cdots+\left(-\dfrac23\right)^{n-1}$

$\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)$

$\implies S_n-\left(-\dfrac23\right)S_n=9\left(1-\left(-\dfrac23\right)^n\right)$
$\dfrac53S_n=9\left(1-\left(-\dfrac23\right)^n\right)$
$S_n=\dfrac{27}5\left(1-\left(-\dfrac23\right)^n\right)$

As $n\to\infty$ , the geometric term vanishes, leaving you with

$S=\displaystyle\lim_{n\to\infty}S_n=\dfrac{27}5$

7 0

3 years ago

Write the domain and range of the graph below…

saveliy_v [14]

Answer:

Range:-4 is less then Y is less then 9. Domain: -5 is less then x is less then 4

Step-by-step explanation:

Look at where the lines end. That will help you find where the domain and ranges are.

5 0

2 years ago

9+m/3=2help me please

Verizon [17]

Answer:

m = -21

Step-by-step explanation:

9+m/3=2

1. Subtract 9 from both sides

9 - 9 + m/3 = 2 - 9

m/3 = -7

2. Multiply both sides by 3

3 (m/3) = -7 (3)

m = -21

6 0

3 years ago

6x + 4y=10 12x + y= -29

Olin [163]

Answer: x=-3 y=7.

Step-by-step explanation:

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3 0

2 years ago

A dartboard has a circumference of 78.5 in.What is the diameter?

satela [25.4K]

$2 \pi r = circumference$
so,
$\frac{circumference}{2 \pi } = radius$

it equals 12.49 or 12.5 depending on rounding

I hope this helps!

4 0

3 years ago

Read 2 more answers