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aleksklad [387]
2 years ago
11

Im looking for some help on these questions. The answer that best answers the questions and helps me the most will receive brain

liest. Thank you for your help!
1. A boat is 15 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 65° angle is formed between the closest point to the boat, the person, and the boat. How far is the person from the boat? Round your answer to the nearest tenth of a foot. Show your work. Refer to Picture 1 for this part.

2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work. Refer to Picture 2 for this part.

3. A utility pole is 35 ft tall. The pole creates a 50 ft shadow. What is the angle of elevation of the sun? Round your answer to the nearest degree. Show your work.

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
7 0

<em>Detailed</em><em> </em><em>solution</em><em> </em><em>is</em><em> </em><em>attached</em><em>!</em><em>!</em><em>~</em>

  • <u>Diagram</u><u> </u><u>for</u><u> </u><u>ques</u><u>.</u><u> </u><u>3</u><u> </u><u>is</u><u> </u><u>also</u><u> </u><u>attached</u><u>!</u><u>!</u>

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Solve each exponential equation. round your answer to two decimal places.
notka56 [123]

4a.4²x +3=1

Slotuion:

4²x + 3=1 : <em>x</em>= -⅛ (Decimal:<em>x</em>= -0.125)

Steps

4² x +3=1

4²=16

16x + 3=1

Subract 3 from borh sides

16x +3-3=1-3

Simplify

16x=-2

Divides both sides by 16

\frac{16 \times }{16} = [tex] \frac{ - 2}{16}

[/tex]

Simplitfy

\frac{16 \times }{16} :  x

Simplify

\frac{ - 2}{16}: -⅛

<em>x</em> = -⅛

therefore the answer is <em>x</em><em>=</em><em> </em><em>-</em><em>⅛</em>

4b.ex-1 -5 =5

x~=3.30258

explanation:

e^(x-1)-5=5

e^(x-1)=10

x-1=ln 10

x-1~=2.30258

x~=3.30258

\large \pink{ \overbrace{ \underbrace{ \tt{ \color{red}{ \:  \:  \:  \:  \:  \:  \: hope \: it \: help \: you \:  \:  \:  \:  \:  \:  \:  \: }}}}}

7 0
2 years ago
Read 2 more answers
A lock has two digit numeric code, with the numbers 1 through 7 available for each digit of the code. Note that numbers can be r
lubasha [3.4K]
If there is 2 digits and 7 numbers the combos would be:
1,1 2,1 3,1 4,1 5,1 6,1 7,1
1,2 2,2 3,2 4,2 5,2 6,2 7,2
1,3 2,3 3,3 4,3 5,3 6,3 7,3
1,4 2,4 3,4 4,4 5,4 6,4 7,4
1,5 2,5 3,5 4,5 5,5 6,5 7,5
1,6 2,6 3,6 4,6 5,6 6,6 7,6
1,7 2,7 3,7 4,7 5,7 6,7 7,7

Therefore there are 49 possible combinations :)
7 0
2 years ago
A bill to landscape your yard is $720. The Materials cost $375 and the labor is $34.50 per hour. Write and solve an equation to
Igoryamba

Answer:

Hey what'sup?

You need to dig a little in, for what it's actually meaning

Here the total is 720 right?

Which came from the materials and the labors work in hourly basis

So it's like

Cost of the material + no of hours = bill

We don't know what the no of hours are, so let's assume it as 'x'

Hence the required equation is

375+35*x=720

35*x = 720-375

35*x = 345

Therefore x=345/35 =9.8

Therefore they worked for 9.8 hours or approximately 10 hours

Peace out

8 0
3 years ago
A ray cannot be perpendicular to a line. true or false? no guesses please
galina1969 [7]

Answer:

TRUE

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
which is a shrink of an exponential growth function? a. f(x) = 1/3(3)^x b. f(x) = 3(3)^x c. f(x) = 1/3(1/3)^x d. f(x) = 3(1/3)^x
Gnesinka [82]

Answer: option a.

f(x)=\frac{1}{3} (3)^x


Explanation:


A <em>shrink</em> of a function is a <em>shrink</em> on the vertical direction. It means that for a certain value of x, the new function will have a lower value, in the intervals where the function is positive, or a higher value, in those intervals where the function is negative. This is, the image of the new function is shortened in the vertical direction.


That is the reason behind the rule:

  • given f(x), the graph of the function a×f(x), when a > 1, represents a vertical stretch of f(x),
  • given f(x), the graph of the function a×f(x), when a < 1, represents a vertical shrink of f(x).

So, we just must apply the rule: to find a shrink of an exponential growth function, multiply the original function by a scale factor less than 1.


Since it <em>is a shrink of</em> <em>an exponential growth function</em>, the base must be greater than 1. Among the options, the functions that meet that conditon are a and b:


a. f(x)=\frac{1}{3} (3)^x \\ \\ b.f(x) = 3(3)^x


Now, following the rule it is the function with the fraction (1/3) in front of the exponential part which represents a <em>shrink of an exponential function</em>.

8 0
3 years ago
Read 2 more answers
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