5. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is
30°. One kilometer closer to the mountain, at point C, the angle of elevation of 35º. Find the height
PB of the mountain.

Answers

Answer 1

Answer:

1.366km

Step-by-step explanation:

Answer 2

The height of the mountain is [tex]3.34Km[/tex]

Right angle triangle:

A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.

Let us consider that H represent the height of mountain.

Angle of elevation at point A and C shown in the diagram.

Apply tan function in triangle CBP.

            [tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]

Apply tan function in triangle ABP.

           [tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]

Substituting the value of equation 2 into equation 1.

      [tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]

Hence, The height of the mountain is [tex]3.34Km[/tex]

Learn more about the right angle triangle here:

https://brainly.com/question/64787

5. A Mountain Has A Base And Peak That Are Inaccessible. At Point A, The Angle Of Elevation Of The Peak

Related Questions

A company rents out 14 food booths and 26 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

The expression is ________

Answers

Answer:

$4140 + $294d

Step-by-step explanation:

Hello,

Let's write down what we know first,

d days

14 food baths -- $175 and $8 per day

26 game booths -- $65 and $7 per day

What we want to find the amount of money paid for both food baths and game booths so after finding them individually, we need to add them up.

We already know the company rents out 14 fb and 26 gb and we know that each fb is 175 dollars and each gb is 65 dollars, so we should find out the cost of buying them. We can also write out the total cost of

14 * $175 = $2450

26 * $65 =  $1690

Now lets find the per day cost,

14 * $8 * d = $112d

26 * $7 * d = $182d

With both equations added together we get,

$2450 + $112d

$1690 + $182d

Add those together and we get:

$4140 + $294d

What is the perimeter of each figure? I'm sorry-

Answers

Answer:

1. 4x + 10

2. 3x + 22

. A circle has a diameter of 12 in. Find the
circumference of the circle to the nearest tenth. Use
3.14

Answers

The answer is 37.68

You multiply the diameter by pi (3.14). So in this problem you multiply 12 x 3.14.

If x=5,then 3x+4x-15

Answers

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3*5) 15+(4*5) 20

20+15= 35-15= 20

Your answer is 20 I believe.

Find the measure of the missing angle.
56

Answers

Answer:

34 degrees

Step-by-step explanation:

angles on a straight line add up to 180 degrees so over here the middle angle as we can see is 90 degrees so we add that to the 56 degrees. From adding them we get 146. 180 -146 is 34 degrees and that is our answer. :)

44 because the line is 180 so 180=56+90(for the right angle)+a when you do the Matt a is 44

0
5
2
0 of 6
Volume of
more
math!
6
Change Assignment
POINTS
TODAY
POINTS
THIS WEEK
GAME
CREDITS
POINTS
REMAINING
N.
$|| $
Find the volume of the cone shown below. Round your answer to the
nearest hundredth and use 3.14 or the calculator key for pi.
18.52 in
8 in

Answers

Answer:

1240.59

Step-by-step explanation:

V=pi r^2 h/3

V=3.14*8^2*(18.52/3)

V=3.14*64*6.17333333...

V=1240.59

PLEASE HELP
Evaluate the following expressions using the distributive property:

Answers

Answer:

You multiply the number outside the parentheses by each one I side the parentheses. Following the distributive property, you have to "distribute" the multiplication, so each number/variable gets multiplied by the first number.

Hope this helps!

The times that 48 trains left a station on Friday were recorded
The cumulative frequency graph gives information about the
numbers of minutes the trains were delayed, to the nearest minute
Cumulative
The shortest and longest delays were 0 and 42 mins.
frequency
a) On the grid below, complete the boxplot for the
A
information about the delays on Friday
50
40
30
20
10 20
40
This is information
about the
delays of 48
trains on
Thursday
10
30
10
50
b) The median delay on Thursday was mins
c) The interquartile range on Thursday was 12
(2)
SO
Total marks: 6
10
mins
0
0
10
20 30 40
Detay in minutes

Answers

Answer:

The times that 48 trains left a station on Friday were recorded

4. State the number of positive real zeros for the polynomial
f(x) = x3 + 4x2 + x + 5.
A. 1
B. 0
C. 3
D. 2

Answers

I believe the answer is c.

Amanda has an envelope that is 2 1/4 inches tall. The envelope is 4 1/3 times as long as it is tall. How long is her envelope?

Answers

Answer:

its 2 1/2 its width

Step-by-step explanation:

Convert 14% to an
equivalent decimal.

Answers

14% to a decimal is .14, you move the percent sign two places to the left always
0.14
the answer to it

Pls i have less time Evaluate the expression for k = –4.

–6 + 21k =

Answers

Answer:

is -90

Step-by-step explanation:

−6+(21)(−4)

=−6+−84

=−90

Solve for x.
A
6
B
12
С
14
D
18

Answers

x = 6

set the two angles equal to each other
3x+7 = 6x-11
subtract 3x from both sides
7 = 3x-11
add 11 on both sides
18 = 3x
divide by 3 on both sides
6 = x

I WILL GIVE BRAINLIEST AND A FOLLOW ON TIKTOKK

Answers

THE WHOLE THING???? or just one answer?

Which equation matches the graph?

Answers

Answer:

A.

Step-by-step explanation:

The Y-intercept is 3 so C and D are automatically are wrong because their Y intercept is 2.

The slope is 2x because you count the points that the line goes through.

For example: From (-1,1) count up and right until you get another point,

count using [tex]\frac{Rise}{Run}[/tex] the rise of this equation is 2 and the run is 1 so [tex]\frac{2}{1} = 2\\[/tex]

Rise = Vertical

Run = Horizontal

Because the slope is increasing the slope is positive meaning B is incorrect because it's slope is negative.

Hope this was clear and helped you out!

The equation that matches the graph is y = -2x + 3

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept

The line passes through the point (0, 3) and (-1.5, 0). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{0-3}{1.5-0} (x-0)\\\\y=-2x+3[/tex]

The equation that matches the graph is y = -2x + 3

Find out more on linear equation at: https://brainly.com/question/14323743

If the mLD = 3x - 8 and mZL = 2x + 17, find the
value of x that would make ZDE ZL.

Answers

Answer:

x = 25

Step-by-step explanation:

For ∠ D and ∠ L to be congruent, then

3x - 8 = 2x + 17 ( subtract 2x from both sides )

x - 8 = 17 ( add 8 to both sides )

x = 25

Determine which of the following pair of angles are complementary, supplementary or other

Answers

Answer:

I] 135+45=180

therefore supplementary angles

ii] 55+35=90

complementary angles

iii]55+45=100

neither

iv] 77+13=90

complementary angles

Solve for x (X-9)(x+5)=8(21)

Answers

I think the answer should be x = 10.101326

PLEASE HELP I've BEEN TRYING TO GET HELP BUT I CAN'T "Skylar plans a party at a restauraunt. The cost is $9.75 per person plus a $49.99 fee to reserve the table. The total charge for the party us $137.74. How Many people will attend Skylars part?" PLEASE HELP ME PLEASE

Answers

Answer:

9

Step-by-step explanation:

49.99 + 9.75x = 137.74

solve for x.

x = 9

i need explanation and the answer!

Answers

Answer:

Its C the reason why because If it was D it will just be a waste of miles And C is lower than 11 We want it low not high

helppppppppppppppppppppppppppppppppppp

Answers

Answer:

with what???

Step-by-step explanation:

Answer: what do you need help with

What is the equation of the line in the graph? explanation, please.
A. y = –1/3x – 1
B. y = 7/3x + 5
C. y = –5x + 7
D. y = –1/2x – 7

Answers

B.

The first thing I do with a line is sub in 0 for x. This will give you the y intercept. On the graph, we can see that the y intercept is (0,5). So, the equation we use has to have an output of 5 if we plug in 0. The only one this applies to is equation B.

what is 1.0682 to tenths, hundredth, thousandths

Answers

Tenths: 1.1
Hundredths: 1.07
Thousandths: 1.068

do i have the correct answer? am i supposed to be solving for a straight angle (180°)?

Answers

Answer:

I think you have this correct

Step-by-step explanation:

you are supposed to be finding the value of x, and you have.

Answer:

147 so yes u do have the right answer :)

Step-by-step explanation:

either way u look at it it would still be trying to find 180 using the 33 that is given

hope this helps and its correct haha

3х - 30 = у
7y - 6 = 3х

Answers

Answer:

Step-by-step explanation:

This one is simple substitution... at least, substitution is the easiest method. The first equation is 3x – 30 = y  and the second is 7y – 6 = 3x

As I look, I see 3 ways to use substitution to solve this:

substitute 7y – 6 for 3xsubstitute 3x – 30 for ysolve 3x – 30 = y for 3x and make it equal to 7y – 6

We're going to only use 1 method for the sake of time. Try the other two on your own. Assuming you don't make any mistakes, they will work.

Method 1:

3x – 30 = y

7y – 6 = 3x  — initial system of equations

7y – 6 – 30 = y  — substitute 7y – 6 for 3x

7y – 6 – 30 = y  — marking like terms, bold for constants, underlined for variables

7y – 36 = y  — combining the constants and simplifying

Here, you could diverge into multiple paths: add 36 to both sides, subtract y from both sides, divide by 6 OR subtract 7y from both sides and divide by –6 . For the sake of time, I'm subtracting 7y, though I don't like dealing with negatives.

7y – 7y – 36 = y – 7y  — subtract 7y from both sides

–36 = –6y  — simplify

–36 ÷ –6 = –6y ÷ –6  — divide by –6 on both sides

y = 6  — simplify

Again, we can diverge here: substitute y into 3x – 30 = y or substitute y into 7y – 6 = 3x

I'm going to choose 3x – 30 = y but it will work either way, should you take the time (if you have it) to chase down every path this problem can take.

3x – 30 = y  — initial equation

3x – 30 = 6  — substitute 6 for y

3x – 30 + 30 = 6 + 30  — add 30 to both sides to isolate 3x

3x = 36  — simplify the expression

3x ÷ 3 = 36 ÷ 3  — divide both sides by 3 to isolate x

x = 12  — simplify

So, we have x = 12 and y = 6 . We know they work for 3x – 30 = y  but not if they work for 7y – 6 = 3x . Let's substitute those in to see if (12, 6) really is the solution point.

7y – 6 = 3x  — original equation

7(6) – 6 ≟ 3(12)  — substitute 6 for y and 12 for x

42 – 6 ≟ 36  — simplify by multiplying

36 = 36 ✔  — simplify by combining like terms on left side

Success! It works! We have found our solution!

I hope this helps increase your understanding of the concept. Have a great day!

If you could plz help it would be greatly appreciated. Questions in picture :)

Answers

Notice that 8 can be written in exponential form of [tex]2^{3}[/tex]

When you see [tex](2^{3} )^{\frac{8}{3} }[/tex] , recognize that  [tex](a^{m} )^{n} =a^{mn}[/tex]

3 × [tex]\frac{8}3}[/tex] = 8

Hence, the answer is [tex]2^{8}[/tex] . Which means 256.

Here is some indices rules/formulas you might find helpful as well:

[tex]a^{m} * a^{n} =a^{m+n} \\\\ a^{m} /a^{n} =a^{m-n} \\\\ (a^{m} )^{n} =a^{mn} \\\\ a^{-m} =\frac{1}{a^{m} }[/tex]

✨✨ Easy points for anyone who is good at finding slope! ✨✨

Answers

Answer:

- 4\3

Step-by-step explanation:

I think its -1 because there's not crooked line where you have to figure out the whole thing

The slope and its opposite reciprocal slope form a _____ angle.

Answers

Answer:

90 degree

Step-by-step explanation:

I just know (I don't I just need points). : )

cant use thisqwdwiwied

Answers

Answer:

ooffffffffffff have a good day/night lol

Answer:

What?? lol

Step-by-step explanation:

Can someone walk me through this?

Answers

Answr :

I hope my answer is correct

m<Jmk = m<HML. m<HJL=m<KHJ

m<JKH=m<JHL m<LHK=m<JLH

m<HLK = m<HJK. m<JLK= m< HJL

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