8. (1 point)
A kayaker estimates the angle of elevation to the top of a cliff to be 20°.
He paddles closer to the cliff and the angle of elevation changes to 45°.
How you would determine the distance to the cliff, if it is possible?
a.
not possible
b. the cosine law
c. primary trigonometric ratios
d. the sine law

Answer:

9.77 units

Step-by-step explanation:

full circle circumference = 2rπ = 2(16)(3.14) = 100.48

(35°/360°)(100.48) = 9.77 units

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

$145.38

Step-by-step explanation:

436.14-(1/3)(436.14)-(1/2)(436.14) = 145.38

The amount of money that Katherine left after considering all fractions will be $145.38.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The denominator of a fraction is the numerical value that comes before the brings together various.

It represents the number of pieces removed from the whole.

As per the given,

Initial amount = $436.14

1/3 of it is = (1/3)436.14 = $145.38

Since, she saved into a saving account so she left with,

$436.14 - $145.38 = $290.76

Now,1/2 of it will be,

(1/2)290.76 = $145.38.

Hence "The amount of money that Katherine left after considering all fractions will be $145.38".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.

Longer, proper answer:

The first five terms in the series expansion of sin(x) are

sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!

Now let x = 4π/5:

sin(4π/5) ≈ 0.5884

so again the answer must be C.

Trigonometric series :  A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.

Option c is correct.

First five term of Trigonometric series of sin is shown below,

   [tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]

substitute x = [tex]\frac{4\pi }{5}[/tex]

  [tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]

After solving,

We get, approximation value of    [tex]sin\frac{4\pi }{5}=0.5884[/tex]

Now find , actual value

              [tex]sin\frac{4\pi }{5}=0.5878[/tex]

Learn more:

https://brainly.com/question/23159335

Answer:

[tex]-8[/tex]

Step-by-step explanation:

Just take away parentheses.

Answer:

x < -15*C (I can’t make the degrees sign on my iPad, so I put * instead).

3 Possible Answers:

-38*C

-26*C

-57*C

Step-by-step explanation:

Inequality:

x = temperature

< = less than

-15*C = the amount the temperature was less than

3 Possible Outcomes:

Because the temperature is less than -15*C, it can literally be any number that is farther down the number line. Because it’s a negative number, anything like -14, -13, -12, and so on would actually have a greater value (think of it as in being less in debtm or in this case, less below zero). Instead, you’ll do any number like -16, -17, -18, and so on. You can even do a decimal number, like -19.5. I hope this makes sense to you!

Answer:

D) (10,22)

Step-by-step explanation:

based on given slope and point, the linear equation is y = 9/5x + 2

plugging in x-and-y values only results in a true statement for option D

example:

22 = 9/5(10) + 2

Does 22 = 18 + 2?  Yes

Answer:

infinite solution

Step-by-step explanation:

because it is a linear equation.

The answer is 87

For this problem, the method I used was more of a guess and check because I simply plugged the options into a calculator to see which one would be closest a little bit past 9.3 but not all the way 9.4

the square root of 87 is 9.32 so you would round down while the square root of 88 is 9.38 which would round up

Hope this helps :)

Answer:

(-1, 3)

Step-by-step explanation:

replace the occurrences of y in the equation

(x + y = 2) with x + 4

x + x + 4 = 2

2x + 4 = 2

solving for x in the first equation

2x = 2 - 4

2x = -2

2x/2 = -2/2

x = -1

replacing all occurrences of x in y = x + 4 with -1

y = (-1) + 4

y = 3

therefore the pairs are (-1, 3)

Hope it helps!

Answer:

the are of a rectangle is length x width

Answer:

jus draw a m-f trapizod from googl-e

Step-by-step explanation:

Answer:

A. a regular trapezoid

B. they both have at least a pair of parallel sides

Step-by-step explanation:

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram.

Answer:

Step-by-step explanation:

original price = 20

Answer:

A

Step-by-step explanation:

because there's no charge for miles

Answer:

Subtract [tex]8 - 5[/tex]

Step-by-step explanation:

Given

[tex]4 . \frac{53 + 1}{(8 - 5)^3}[/tex]

Required

The first step to evaluate the expression

The first step is to evaluate the expression in brackets.

From the question: The expression in bracket is: [tex]8 - 5[/tex]

So, the first step is to subtract [tex]8 - 5[/tex]

Answer:

i think its d

Step-by-step explanation:

i might be wrong tho

Answer:

16 is the median

Step-by-step explanation:

By definition, the median is the mid value or the middle number of a given data set

Firstly, we have to arrange the numbers in ascending or descending order

What we have as the count of the numbers here is 9

So the middle number is the 5th term counting from either sides

As we can see, the fifth term here is the number 16

Answer:

$11.70

Step-by-step explanation:

117 - 45% ( Art & Music ) = 64.35

117-64.35 = 52.65

64.35-52.65 = 11.70

Answer:

3/16

Step-by-step explanation:

Answer:

3/4÷4=3/16 of a piece of pizza

Answer:

195 cubic centimeters (cm^3)

Step-by-step explanation:

sorry it's late

Answer: 20 is a parameter and 20.25 is a statistic

Definition of parameter: a numerical characteristic of a population, as distinct from a statistic of a sample.

Definition of statistic: a fact or piece of data from a study of a large quantity of numerical data.

Hope this helps!

Answer:

C

Step-by-step explanation:

20 is a parameter and 20.25 is a statistic

Answer:

2/6

Step-by-step explanation:

if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4

Answer:

10

Σ [n^2]

i=1

Step-by-step explanation:

Hope I helped? I inserted it into a calc and I also got 385 for something if its useful))

Answer:probably just mutiply all the numbers!

Step-by-step explanation:

Answer: y=4x-1

Step-by-step explanation: the line goes through (-2,7) and is perpendicular to the line x-4y =24

Answer:

68mm

Step-by-step explanation:

Answer:

63.585 mm2 is the area

28.26 is the circumference.

Hope this helps!