Keith is looking at a cliff. He determines that the angle of elevation to the top is 70° from where he is at. 70m away from Keith, Alan estimates the angle between the base of the cliff, himself, and Keith to be 29° while Keith estimates the angle between the base of the cliff, himself, and Alan to be 48°. What is the height, h, of the cliff to the nearest tenth of a metre?
1) 78.8m
2) 83.9m
3) 89.0m
4) 95.7m

This question completely baffled me on my homework, I still haven't done it because I don't even know how to approach it (Since it's a 3D problem)
Please help me out
Also, this homework is due in an hour so I'm starting to sweat

Answers

Answer 1

9514 1404 393

Answer:

  4) 95.7 m

Step-by-step explanation:

The angle at the cliff base between Alan and Keith is ...

  B = 180° -29° -48° = 103°

The law of sines will tell you the distance KB from Keith to the cliff base is

  KB/sin(A) = KA/sin(B)

  KB = KA×sin(A)/sin(B) = (70 m)sin(29°)/sin(103°) ≈ 34.82935 m

The height of the cliff is found from the tangent relation ...

  Tan = Opposite/Adjacent

  tan(70°) = height/(34.83 m)

  height = (34.83 m)tan(70°) = 95.693 m

The height of the cliff is about 95.7 m.

_____

Additional comment

These problems can usually be resolved into two 2-D problems. Here, we can work out the distance we need from Keith to the cliff by considering only the ground plan of the site. Then we can work out the height of the cliff only considering the vertical plane containing Keith and the base of the cliff.

The attachment shows the ground plan triangle KAB.

Keith Is Looking At A Cliff. He Determines That The Angle Of Elevation To The Top Is 70 From Where He

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Answer: 6 fewer than a number

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Answer: y=x

Step-by-step explanation:

solve the following equation algebraically ? please !

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Answer: A

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

The opposite of squared is square root, so you'll have to square root 192 and you'll get the answer 13.86.

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Find the vertex of the parabola. y = 3x2 – 30x + 77 a (-2,-5) b. (-5, -2) C. (5,2) d. (2,5) Please select the best answer from the choices provided Ο Α OB ОС D​

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Answer:

[tex]\text{C. }(5,2)[/tex]

Step-by-step explanation:

The x-coordinate vertex of a parabola in standard form [tex]ax^2+bx+c[/tex] is equal [tex]\frac{-b}{2a}[/tex].

In [tex]y=3x^2-30x+77[/tex], we have:

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Therefore, the x-coordinate of the vertex is equal to [tex]\frac{-(-30)}{2(3)}=\frac{30}{6}=5[/tex].

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This one says (cos) , help it’s timed ! Take me through the process !

Answers

Answer:

4/5 is ur answer

Step-by-step explanation:

ok just like the last one but this one is COS

ok so we know that COS is A/H

A= adjacent and ofc H= hypotenuse

so lets see its the COS of a which means it will be A/H

A= 4 and the H=5

help................................................

Answers

9514 1404 393

Answer:

  B.

Step-by-step explanation:

Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)

For t=0, C(0) = 50000(0.9^0) -2000 = 480000

For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500

The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.

find the missing side of the triangle

Answers

Using the Pythagorean theorem where:
b^2 = c^2 - a^2
Let x be the value for b.
x^2 = 13.7^2 - 5.2^2
= 187.69 - 27.04
=√160.65
= 12.67

Hence x = 12.67

In the parallelogram below x=?

Answers

Answer:

x = 12

Step-by-step explanation:

The sides are congruent

5x - 17 = 3x + 7

Subtract 3x from both sides

2x - 17 = 7

Add 17 to both sides

2x = 24

Divide both sides by 2

x = 12

Answer:

X=0.8

Step-by-step explanation:

First collect all the light terms '7' and '17' '-17+7=-10'

And '3x' and' 5x' '3x+5x=8x'

So if you put this as an equation you will have '8x=-10'

Next you do 8 divided -10

Then you get 0.8

You have a flight at 7:30 you have 1 hour and 27 minutes to get ready and 30 minutes to get to the airport what time do you wake up

Answers

Answer:

5:33 am

Step-by-step explanation:

You need to be at the airport at 7:30

Subtract 30 minutes for travel

7:30 -30 = 7:00

You need 1 hour and 27 minutes to get ready

Subtract 1 hour

7-1 =6:00 am

Subtract 27 minutes

6:00 am - 27 minutes

5: 60 - 27   ( Remember there are 60 minutes in 1 hour)

5:33 am

You need to get up at 5:33 am

Check

5:33 plus 1 hr 27 minutes = 7:00 am + 30 minutes travel = 7:30 am

rectangular garden width 2.3 meters and a length of 2.8 meters what is the area

Answers

Answer:

area = 2.3 x 2.8

area is 6.44 meters

Step-by-step explanation:

area is length multiplied by width

Helppppppppppppppppppppppppppp the question is post on my page

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The answer is going to be 1650 it’s easy you just gotta read it addition

please answer thanks​

Answers

Answer:

ED = 31

DT = 20

Step-by-step explanation:

m< ESD = 90-52=38°

the distance ED = 40×tan 38° = 31.25 = 31

ET = 40 x tan (90-38) = 40×tan 52°

= 51.19= 51

the distance DT = 51-31 = 20

The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.

What is the constant of the quadratic expression in this equation?

x2 + x +
= 0

Answers

Answer:

-420

Step-by-step explanation:

let the two consecutive integers be

x and (x + 1)

The product of two consecutive integers is 420

x(x + 1) = 420

Distribute

x² + x = 420

Subtract 420 from both sides

x² + x - 420 = 0

The constant is

-420

I need help please I don’t know this

Answers

Answer:

B.I (x) and h (x) are inverse function

B

2x + 5y = 17
what is x
what is y

Answers

Answer:

x = (17 - 5y)/2

y = (17 - 2x)/5

Step-by-step explanation:

nothing else can be done here.

if you are looking for actual numbers as solution, then you have forgotten to put something important here.

to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.

There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?

Answers

Answer:

[tex]P(Good\ and\ Bad) = 12/49[/tex]

Step-by-step explanation:

Give

[tex]Good = 4[/tex]

[tex]Bad = 3[/tex]

Required

[tex]P(Good\ and\ Bad)[/tex]

This is calculated as:

[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]

So, we have:

[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]

[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]

[tex]P(Good\ and\ Bad) = 12/49[/tex]

If x = -3 and y = 4x - 1, then y equals what number

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{y = 4x - 1}[/tex]

[tex]\large\text{If x= -3, then substitute it into the given equation}[/tex]

[tex]\large\textsf{y = 4(-3) - 1}[/tex]

[tex]\large\textsf{4(-3) = \boxed{\bf -12}}[/tex]

[tex]\large\textsf{y = -12 - 1}[/tex]

[tex]\large\textsf{-12 - 1 = y}[/tex]

[tex]\large\textsf{-12 - 1 = \boxed{\bf -13}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -13}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Problem:

If x = -3 and y = 4x - 1, then y equals what number?

[tex] \quad \quad \quad \quad\tt{y = 4x - 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = 4( - 3) - 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = (- 12)- 1}[/tex]

[tex] \quad \quad \quad \quad\tt{y = - 13}[/tex]

Hence, The value of y is:

[tex] \quad \quad \quad \quad \boxed{\tt \color{green}{y = - 13}}[/tex]

______

#LetsStudy

Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.

Answers

Answer:

ASA

Step-by-step explanation:

The two small angles which are the base angles of the small triangle in the middle are marked as equal.

The two large angles of the two triangles are also marked as conguent.

The base of the small triangle in the middle is common to both the larger triangles by the reflexive property (a line is always equal to itself). The line is between two sets of congruent angles. Therefore the two large triangles are congruent by ASA

Answer:  ASA

Explanation:

It might help to peel the triangles apart as I have done so below.

We have two pairs of congruent angles, as shown by the distinct angle markers. Between the congruent angles, we have a pair of congruent sides.

The side (S) is between the angles (A), which is why we use ASA.

Note: SAA is slightly different where the congruent sides are not between the congruent angles.

Factorise x2 - 2x - 3

Answers

(x+1)(x-3)
x= -1,3
This is the answer

The factorization of x² - 2x - 3 is  (x+1)(x-3).

The given quadratic equation is,

x² - 2x - 3

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

Hence to factorize we can write the given quadratic equation as,

⇒ x² - 3x + x - 3

⇒ x(x-3) + (x - 3)

⇒ (x+1)(x-3)

Hence,

x² - 2x - 3 =  (x+1)(x-3)

To learn more about quadratic equation visit:

https://brainly.com/question/30098550

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I need help please asp !!!!

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The shape will be a rectangle
The answer is Rectangle

The coordinates of parallelogram UVWZ are U(a, 0), W(c − a, b), and Z(c, 0). Find the coordinates of V without using any new variables.


(a, b)


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(c, b)


(0, b)

Answers

Answer:

C

Step-by-step explanation:

Your welcome! :) Good luck!

20 points & Brainliest to the one who gets ALL of them correct! NEED HELP ASAP!!! Due today!!!

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2. [tex]\frac{sinx}{1+cosx}[/tex] = [tex]\frac{1-cosx}{sinx}[/tex]

3. cos⁴b−sin⁴b = 1−2sin²b

4. [tex]\frac{siny+cosy}{siny}- \frac{cosy-siny}{cosy}[/tex] = [tex]\frac{secy}{cosy}[/tex]

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HELP!!!

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Answer:

30

Step-by-step explanation:

Answer: go on mathaway!!!

Step-by-step explanation:

This dosent really help with ur question but mathaway is free and got me through math

Kevin paid $8.21 for 6 gallons of gas. How much did one gallon of gas cost (rounded to the nearest cent)

Answers

Answer:

$1.37 (1.368333)

Step-by-step explanation:

6 divided by 8.21

$1.37 ($8.31 divided by 6 )

Mariana baked 14 cakes. She gave 1/7 of them to her family before she took the rest to a party. How many cakes did Mariana give to her family?

Answers

Answer:

2

Step-by-step explanation:

14·[tex]\frac{1}{7}[/tex]=2

Answer:

2

Step-by-step explanation: 1/7th's of 14 is 2.

1/7 x 14 = 2.

PLEASE HELP ASAPPP!!!! THE ANSWER WILL BE A PERCENTAGE.
Suppose you are asked to pick 4 numbers from 1 to 25 to win a prize. What is the probability that one of the numbers you will pick is the winning number?

Answers

Answer:

each number you pick has a 1 in 25 chance

this equates to a 4% chance of winning for each individual ball

Each number has a 1/20 chance of being the winner.
You pick 3 numbers, so you have three times the chance of having the winning number.

3 * 1/20 = 3/20 = 0.15

The probability you have the winning number is 0.15.

One of the factors of 34 is chosen at random. What is the probability that the factor is itself a two digit number?

Answers

A factor of 30 is chosen at random. What is the probability, as a decimal, that it is a 2-digit number?

The positive whole-number factors of 30 are:

1, 2, 3, 5, 6, 10, 15 and 30.

So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that

P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors

=38=3×.125=.375

Pablo deposits $5000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 6years?

Answers

Answer:

$5900

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Simple Interest Rate Formula: A = P(1 + rt)

P is principle amountr is ratet is time (in years)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 5000

r = 3% = 0.03

t = 6

Step 2: Find Interest

Substitute in variables [Simple Interest Rate Formula]:                                 A = 5000(1 + 0.03 · 6)(Parenthesis) Multiply:                                                                                       A = 5000(1 + 0.18)(Parenthesis) Add:                                                                                            A = 5000(1.18)Multiply:                                                                                                             A = 5900

Find the area of each triangle.

Answers

Answer:

4.) A = 1/2 bh

1/2 x 3 x 6

= 9in

What is the answer to 8x < 48

Answers

Answer:

x<6

hope this helps

have a good day :)

Step-by-step explanation:

100 POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

A = 0.25*j + 1

Step-by-step explanation:

The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.

Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling  j cups of orange juice.

The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.

The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;

A = 0.25*j + 1

Hope this helped.....

Answer:

5 points huh thats mean

Step-by-step explanation:

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