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mestny [16]
3 years ago
11

From a boat on the lake, the angle of elevation to the top of a cliff is 26°1'. If the base of the cliff is 205 feet from the bo

at, how high is the cliff (to the nearest foot)?

Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0
First off hmm <span>26°1' is just 26 degrees and 1 minute

there are 60 minutes in 1 degree, so 1minute is just 1/60 degrees
so </span>26°1' is 26° + (1/60)°  or 26.1667 rounded up, since 1/60 is a recurring unit

alrite... so hmm, check the picture below

make sure your calculator is in Degree mode.


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The rate of increase (R) of the radius (r) in meters per second is inversely proportional to the radius. If the radius is increa
Mariana [72]

<em><u>The equation to the rate of increase of the radius in terms of the radius is:</u></em>

R = \frac{14000}{r}

<em><u>Solution:</u></em>

<em><u>The rate of increase (R) of the radius (r) in meters per second is inversely proportional to the radius</u></em>

Therefore,

R \propto \frac{1}{r}\\\\R = k \times \frac{!}{r} -------- eqn\ 1

<em><u>The radius is increasing at 1400 meters per second when the radius is 10 meters</u></em>

r = 10 m

R = 1400 meter per second

<em><u>Substitute in eqn 1</u></em>

1400 = k \times \frac{1}{10}\\\\k = 14000

<em><u>Substitute k = 14000 in eqn 1</u></em>

R = 14000 \times \frac{1}{r}\\\\R = \frac{14000}{r}

Thus the equation is found

6 0
3 years ago
The Marquez family drove 191.8 miles for a weekend getaway This took them 2.8 hours. How many miles per hour did the Marquez fam
jeka94

Answer:

68.5 mph

Step-by-step explanation:

191.8 ÷ 2.8 = 68.5

5 0
3 years ago
[2/SEC(¶/3)•[lim x→0 x^3+8x+10]^2]/[lim θ→0 sinθ/θ]
Oliga [24]
Assuming the pilcrow is supposed to represent pi:

\frac{\frac{2}{sec(\frac{\pi}{3})}*(\lim_{x \to 0} x^3+8x+10)^2}{ \lim_{\theta \to 0} \frac{sine(\theta)}{\theta}}\\\frac{\frac{2}{\frac{1}{cosine(\frac{\pi}{3})}}*((0)^3+8(0)+10)^2}{\frac{sine((0))}{(0)}}\\\frac{\frac{2}{\frac{1}{\frac{1}{2}}}*(0+0+10)^2}{\frac{0}{0}}\\\frac{\frac{2}{2}*(10)^2}{ \lim_{\theta \to 0} \frac{cosine(\theta)}{1}}\\\frac{100}{cosine((0))}\\\frac{100}{1}\\100

100
4 0
4 years ago
7x(x+1.8)=0<br> 7x(x+1.8)=0<br> 7x(x+1.8)=0 <br> Answer those 3
ahrayia [7]

Answer:

The answer to all of those questions would be x=-1.8

Step-by-step explanation:

7x(x + 1.8) = 0 - Distribute through the Parenthesis -

7x^2 + 12.6x = 0

x(7x + 12.6) = 0


x = 0


7x + 12.6 = 0

7x = -12.6

x = -12.6/7

x = -1.8


so x = 0 or x = -1.8

3 0
3 years ago
Steve earned $7.40 per hour working his paper route. The first week, he worked 16 hours. After getting paid, he put $105 in the
prisoha [69]

Answer:17

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6 0
3 years ago
Read 2 more answers
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