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2 years ago

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From the top of a cliff, which is 120 meters above the water, tha angle of depression of a boat on the water is 18°. How far is

the boat from the bottom of the cliff?

1 answer:

harina [27]2 years ago

4 0

To find how far the boat is from the bottom of the cliff is you’ll use tan;

Tan18degrees=120/x

x=120/tan18degrees

x=369m

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Part 1: Using complete sentences, compare the key features and graphs of sine and cosine. What are their similarities and differ

Alenkasestr [34]

Part 1: Similarities of sine and cosine graphs are that both has an amplitude of 1 and a period of 2pi.
A differences between sin and cos graphs includes that sin graph passes through point (0, 0).

The required cosine graph is <span>f(x) = 3 cos(4x - 3π/2) + 4</span>

3 0

3 years ago

What number must be added to the expression below to complete the square? x^2+x. a.1/4 b.1/2 c.2 d.1

torisob [31]

Option a. 1/4 is the right answer

Step-by-step explanation:

Given expression is:

$x^2+x$

Here

we know that

a = x

In order to find the number which should be added

comparing with the formula

$(a+b)^2 = a^2+2ab+b^2$

$2ab = x\\2.x.b = x\\b=\frac{x}{2x}\\b = \frac{1}{2}$

So, we will add the square of 1/2 which is 1/4

Hence,

Option a. 1/4 is the right answer

Keywords: Expressions, polynomials

Learn more about polynomials at:

#LearnwithBrainly

3 0

3 years ago

Caleb has an offer from a credit card issuer for 0% APR for the first 30 days and 17.68%

svetlana [45]

Solution:- Answer is 19.33%

Annual percentage rate (APR) is the yearly rate for a price which have to pay for borrowing money through credit card.

Here Caleb has an offer from a credit card issue for i=0% APR for the first 30 days.

now, effective interest rate for n= 30 days

= $r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0}{30} )^{30}-1\\\Rightarrow\ r=(1+0)^{30}-1=1-1=0$

After 30 days APR =17.68%=0.1768

n=365-30=335 days

now the effective interest rate for n=335 days

= $r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0.1789}{335} )^{335}-1\\\Rightarrow\ r=(1+0.000527)^{335}-1=(1.000527)^{335}-1=1.1933-1=0.1933$

=19.33%

So the effective interest rate for 365 days =0+19.33% =19.33%

So fourth option is correct.

6 0

3 years ago

Read 2 more answers

What is the area of the parallelogram below?

7nadin3 [17]

Answer:

A= 335.5 units squared

Step-by-step explanation:

6 0

2 years ago

2(a³+b²+11)+1(3+a³+b+11)

Ann [662]

Answer:

$2(a^3+b^2+11)+1(3+a^3+b+11)=3a^3+2b^2+b+36$

Step-by-step explanation:

I assume that you need simplification of the given expression.

The given expression is:

$2(a^3+b^2+11)+1(3+a^3+b+11)$

Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,

$2(a^3+b^2+11)=2\times a^3+2\times b^2+2\times 11\\2(a^3+b^2+11)=2a^3+2b^2+22\\\\1(3+a^3+b+11)=1\times 3+1\times a^3+1\times b+1\times 11\\1(3+a^3+b+11)=3+a^3+b+11=a^3+b+14$

Therefore, $2(a^3+b^2+11)+1(3+a^3+b+11)$ is equal to:

$2a^3+2b^2+22+a^3+b+14$

Now, combining like terms using the commutative property of addition, we get:

$=(2a^3+a^3)+2b^2+b+(22+14)\\=3a^3+2b^2+b+36$

Therefore, the simplified form is $3a^3+2b^2+b+36$

8 0

3 years ago